Howard Phillips Lovecraft’s work of fiction can roughly be grouped into three distinct categories, each evoking a singular extraordinary state of mind. Poe-inspired tales of the macabre such as “The Tomb” (1917) and “The Statement of Randolph Carter” (1919) produce terror because of the atmosphere they convey and because of the particular end the main characters meet. Lovecraft’s later “Yog-Sothothery” or work in the Cthulhu Mythos tradition, including his signature pieces of weird fiction “The Call of Cthulhu” (1926) and (...) “The Shadow over Innsmouth” (1931), inspires ‘horror’ because the life-worlds of the protagonists in these stories are utterly destroyed. However, the gentleman of Providence is also known for a different sort of fiction. His Dunsanian tales—among them short stories such as “The White Ship” (1919), “Celephaïs” (1920), and the three works“ The Silver Key” (1926), The Dream-Quest of Unknown Kadath (1926–27), and “Through the Gates of the Silver Key” (1932–33; with E. Hoffmann Price), centered on the exploits of Lovecraft’s recurring character and alter ego Randolph Carter—are epitomes to this feat. These prehistoric or dreamland tales do not inspire ‘terror’ or ‘horror’; rather, they predominately seek to evoke the extraordinary state of mind called ‘wonder. This article offers a preliminary exploration of Lovecraft’s relationship with wonder, highlights what wonder is, how Lovecraft was exposed to wonder at an early age, and argues that he developed a lifelong positive relationship with this particular state of mind. (shrink)

Edward Wilson wrote in Consilience that “Human history can be viewed through the lens of ecology as the accumulation of environmental prostheses” (1999 p 316), with technologies mediating our collective habitation of the Earth and its complex, interdependent ecosystems. Wilson emphasized the defining characteristic of complex systems, that they undergo transformations which are irreversible. His view is now standard, and his central point bears repeated emphasis, today: natural systems can be broken, species—including us—can disappear, ecosystems can fail, and technological prostheses (...) potentiate rather than ameliorate disaster when the fragilities that they introduce into our evolutionary co-dependencies with natural systems, and with each other, are under-appreciated. (shrink)

Shortages of new therapeutics to treat coronavirus disease (COVID-19) have forced clinicians, public health officials, and health systems to grapple with difficult questions about how to fairly allocate potentially life-saving treatments when there are not enough for all patients in need (1). Shortages have occurred with remdesivir, tocilizumab, monoclonal antibodies, and the oral antiviral Paxlovid (2) -/- Ensuring equitable allocation is especially important in light of the disproportionate burden experienced during the COVID-19 pandemic by disadvantaged groups, including Black, Hispanic/Latino and (...) Indigenous communities, individuals with certain disabilities, and low-income persons. However, many health systems have resorted to first-come, first-served approaches to allocation, which tend to disadvantage individuals with barriers in access to care (3). There is mounting evidence of racial, ethnic, and socioeconomic disparities in access to medications for COVID-19 (4, 5). -/- One potential method to promote equitable allocation is to use a weighted lottery, which is an allocation strategy that gives all eligible patients a chance to receive the scarce treatment while also allowing the assignment of higher or lower chances according to other ethical considerations (6). We sought to assess the feasibility of implementing a weighted lottery to allocate scarce COVID-19 medications in a large U.S. health system and to determine whether the weighted lottery promotes equitable allocation. (shrink)

The coronavirus disease 2019 (COVID-19) pandemic has motivated medical ethicists and several task forces to revisit or issue new guidelines on allocating scarce medical resources. Such guidelines are relevant for the allocation of scarce therapeutics and vaccines and for allocation of ICU beds, ventilators, and other life-sustaining treatments or potentially scarce interventions. Principles underlying these guidelines, like saving the most lives, mitigating disparities, reciprocity to those who assume additional risk (eg, essential workers and clinical trial participants), and equal access may (...) compete with one another. We propose the use of a “categorized priority system” (also known as a “reserve system”) as an improvement over existing allocation methods, particularly because it may be able to achieve disparity mitigation better than other methods. (shrink)

Coronavirus disease 2019 can lead to respiratory failure. Some patients require extracorporeal membrane oxygenation support. During the current pandemic, health care resources in some cities have been overwhelmed, and doctors have faced complex decisions about resource allocation. We present a case in which a pediatric hospital caring for both children and adults seeks to establish guidelines for the use of extracorporeal membrane oxygenation if there are not enough resources to treat every patient. Experts in critical care, end-of-life care, bioethics, and (...) health policy discuss if age should guide rationing decisions. (shrink)

What is the relation between method and truth? Are we justified in accepting a theory that satisfies the rules of scientific method as true? Such questions divide realism from anti-realism in the philosophy of science. Scientific realists take the methods of science to promote the realist aim of correspondence truth. Anti-realists either claim that the methods of science promote lesser epistemic goals than realist truth, or else they reject the realist conception of truth altogether. In this paper, I propose a (...) realist theory of the relation between method and truth. The theory consists of three basic elements: (a) a naturalistic treatment of epistemic normativity, (b) an instrumentalist conception of the nature of methodological rules, and (c) an abductive argument for the truth-conduciveness of the rules of scientific method. (shrink)

In this chapter I defend a methodological view about how we should conduct substantive ethical inquiries in the fields of normative and practical ethics. I maintain that the direct plausibility and implausibility of general ethical principles – once fully clarified and understood – should be foundational in our substantive ethical reasoning. I argue that, in order to expose our ethical intuitions about particular cases to maximal critical scrutiny, we must determine whether they can be justified by directly plausible principles. To (...) expose apparently plausible principles to maximal critical scrutiny, we must determine whether their direct plausibility can survive careful clarification of what they are really saying. This means that intuitions about cases are useful only in (a) suggesting principles that must stand on their own two feet, and (b) illustrating or otherwise helping us clarify what a principle is really saying. We should not reject principles that seem most directly plausible after we have fully clarified their content simply because they conflict with our intuitions about cases, because to do so is to side with uncritical prejudices over the teachings of critical scrutiny. (shrink)

The idea that education should equip people to lead flourishing lives and help others to do so is now becoming salient in policy-making circles. Philosophy of education can help here by clarifying what flourishing consists in. This essay examines one aspect of this. It rejects the view that well-being goods are derivable from human nature, as in the theories of Howard Gardner and Edmond Holmes. It locates them, rather, as cultural products, but not culturally-relative ones, drawing attention to the (...) proliferating forms they have taken over the past three or four centuries. It looks to aesthetics and art criticism as a guide to a philosophical treatment of well-being goods more generally. It also takes off from aesthetics and art criticism in seeking to identify reliable authorities on the flourishing life. On this, it rejects elitist conceptions in favour of a more democratic model, emphasising its importance in education for citizenship. (shrink)

Foundationalists distinguish basic from nonbasic beliefs. At a first approximation, to say that a belief of a person is basic is to say that it is epistemically justified and it owes its justification to something other than her other beliefs, where “belief” refers to the mental state that goes by that name. To say that a belief of a person is nonbasic is to say that it is epistemically justified and not basic. Two theses constitute Foundationalism: (a) Minimality: There are (...) some basic beliefs, and (b) Exclusivity: If there are any nonbasic beliefs, that is solely because they (ultimately) owe their justification to some basic belief. Proponents of Minimality but not Exclusivity endorse Minimal Foundationalism. Proponents of Exclusivity but not Minimality endorse either Epistemic Nihilism, the view that there are no justified beliefs, or some non-foundationalist epistemology such as Coherentism or Infinitism. In this essay I aim to characterize the notion of a basic belief more precisely and to assess some arguments for and against Foundationalism. In the process, I hope to exhibit the resilience and attractiveness of Foundationalism. (shrink)

The paper gives an overview of key themes of twentieth century philosophical treatment of the language of science, with special emphasis on the meaning variance of scientific terms and the comparison of alternative theories. These themes are dealt with via discussion of the topics of: (a) the logical positivist principle of verifiability and the problem of the meaning of theoretical terms, (b) the postpositivist thesis of semantic incommensurability, and (c) the scientific realist response to incommensurability based on the causal theory (...) of reference. (shrink)

Public health care interventions—regarding vaccination, obesity, and HIV, for example—standardly take the form of information dissemination across a community. But information networks can vary importantly between different ethnic communities, as can levels of trust in information from different sources. We use data from the Greater Pittsburgh Random Household Health Survey to construct models of information networks for White and Black communities--models which reflect the degree of information contact between individuals, with degrees of trust in information from various sources correlated (...) with positions in that social network. With simple assumptions regarding belief change and social reinforcement, we use those modeled networks to build dynamic agent-based models of how information can be expected to flow and how beliefs can be expected to change across each community. With contrasting information from governmental and religious sources, the results show importantly different dynamic patterns of belief polarization within the two communities. (shrink)

My subject is the theory of blame recently propounded by George Sher in his book, In Praise of Blame. I argue that although Sher has succeeded in capturing a number of genuine features of the concept of blame, there is an important element that he has omitted, which is the fact that necessarily, when A blames B for something and expresses this to B, A will realise that B is likely to find this unpleasant. The inclusion of the latter element (...) renders the question of whether any agent ever deserves blame a more open one than Sher allows. (shrink)

Howard Gardner's theory of Multiple Intelligences has had a huge influence on school education. But its credentials lack justification, as the first section of this paper shows via a detailed philosophical analysis of how the intelligences are identified. If we want to make sense of the theory, we need to turn from a philosophical to a historical perspective. This is provided in the second section, which explores how the theory came to take shape in the course of Gardner's intellectual (...) development. The third section looks at changes in the theory since its inception in 1983 and at problems with its applications to education. The paper concludes with a response to Gardner's critical comments on the argument to this point. (shrink)

My project is to explain why the question ‘How does it feel to be a white problem?’ cannot be answered in the fluttering grammar of white talk. The whiteness of white talk lies not only in its having emerged from white mouths, but also in its evasiveness—in its attempt to suppress fear and anxiety, and its consequential [if unintended] reinscription and legitimation of racist oppression. I White talk is designed, indeed scripted, for the purposes of (...) evading, rejecting, and remaining ignorant about the injustices that flow from whiteness and its attendant privileges. I want to suggest a new point of entry—a way to flip the script, so to speak. -/- I begin with some observations about the basic advantages and disadvantages of using white talk as a route into the white problem. My account develops an expanded version of Alice MacIntyre’s definition of white talk that is attentive to the racialized bodily scripts that accompany white talk. I argue that white talk persists because it has an enduring and powerful moral, ontological, and epistemic pay off for white folks. I explore each payoff with an eye towards clarifying how white talk functions to maintain the illusion that we are invulnerable beings. Next, I pause to reply to the popular objection that this particular critique of white talk silences white people in conversations on race. If we cannot address the question ‘how does it feel to be a white problem’ in the fluttering grammar of white talk, then how shall we begin? In closing, I suggest that we might reduce fluttering by replacing white talk with a discourse of vulnerability, where vulnerability is defined not as weakness, but as a condition for potential. I offer some brief guidelines for how we might start this conversation. (shrink)

A central debate in philosophy of race is between eliminativists and conservationists about what we ought do with ‘race’ talk. ‘Eliminativism’ is often defined such that it’s committed to holding that (a) ‘race’ is vacuous and races don’t exist, so (b) we should eliminate the term ‘race’ from our vocabulary. As a stipulative definition, that’s fine. But as an account of one of the main theoretical options in the debate, it’s a serious mistake. I offer three arguments for why eliminativism (...) should not be tethered to vacuity or error theory, and three arguments for why the view shouldn’t be understood in terms of eliminating the term ‘race’ from our vocabulary. Instead, I propose we understand the debate as concerning whether certain uses of ordinary race terms are typically wrong. This proposal is quite simple, and naturally suggested by the common gloss that eliminativism about ‘race’ is akin to a commonsensical view about 'witch' talk. But nonetheless, I argue that it offers a significant recharacterization of this core debate in philosophy of race. (shrink)

Some understand Stein’s “Yes, but…” as an entry in the realism—instrumentalism debate (RID) itself, albeit one dissatisfied with then-extant positions. In this paper, however, I argue the opposite: Stein’s conception of science and his approach to its history and philosophy actually preclude the RID. First, I characterize Stein as persistently attending to his own historical and philosophical methods. I then describe his conception of science as both a dialectic and an enterprise, and I draw from this conception several conclusions about (...) the relations between science and its history and philosophy. Finally, I provide a reading of “Yes, but…” that follows from Stein’s conception of science. On this reading, the RID is either irrelevant to or wrong of science and, moreover, distracts from a legitimate inquiry. I conclude by interpreting Stein’s remark that there is ``no difference that makes a difference’’ between a cogent and enlightened realism and a sophisticated instrumentalism. (shrink)

Narrator Ron Howard tells us that Arrested Development is the “story of a wealthy family who lost everything, and the one son who had no choice but to keep them all together.” The cult-classic follows Michael Bluth – the middle son of an inept, philandering, corrupt real-estate developer, George Bluth Sr., who is arrested for white-collar crimes. Constantly faced with crises created by his eccentric family, Michael does his best to preserve the family business, put out fires, and (...) serve as a role model for his teenage son, George Michael. The Bluths’ misadventures raise the question, what, if anything, do adult children owe their parents? This chapter explores the relationships between the members of the Bluth family and argues that Arrested Development makes the case that, insofar as adult children “owe” their parents anything, such an obligation is grounded in a sense of friendship – a voluntarily entered relation that can be terminated at any time. As a result, Arrested Development challenges the often-unquestioned assumption that children owe their parents special consideration simply in virtue of the parent-child relationship. (shrink)

On being released from her black-and-white room into a colorful world it would seem Mary learns something new (the Knowledge Argument). On being released from his B-theory room into an A-theory world it would seem Mark learns something new (the Temporal Knowledge Argument). These thought experiments are parallel to each other and can inform each other.

Nach Morton White können wir die holistische Quine/Duhem-These auf ethische Sätze genauso anwenden wie auf wissenschaftliche. Demzufolge mögen sich die meisten ethische Sätze zwar nicht einzeln testen lassen, wohl aber im Zusammenhang einer kompletten Theorie, die sowohl deskriptive als auch normative Sätze enthält. Ich diskutiere zwei Vorschläge dafür, wie dieser Vergleich durchbuchstabiert werden könnte. Laut Whites eigenem Vorschlag lassen sich einige normative Konsequenzen des Gesamtsystems durch Konfrontation mit den emotionalen Reaktionen des Sprechers testen. Laut meinem Vorschlag sind einige normative (...) Konsequenzen des Systems bereits Beobachtungssätze in Quines Sinn und können genauso getestet werden wie naturwissenschaftliche Beobachtungssätze, nämlich durch Sinneserfahrung. Kurzum, es gibt moralische Beobachtungssätze. Quine bezeichnet diejenigen Sätze als Beobachtungssätze, die alle anwesenden Sprecher einer Gemeinschaft stets gleich beurteilen und die der einzelne Sprecher ausschließlich aufgrund momentaner Sinnesreizung bejaht oder verneint (also unabhängig von Hintergrund-Informationen). In Quines Argument gegen moralische Beobachtungssätze steckt folgender Fehler: Quine glaubt, dass sich moralische Fragen immer nur angesichts von Hintergrund-Informationen beurteilen lassen. Bei vielen moralischen Sätzen mag das so sein; aber es gibt Gegenbeispiele, in denen Hintergrund-Informationen ausgeschaltet sind, z.B. "Dies ist sichtbares Unrecht". (shrink)

Jackson (1982) introduced the Knowledge Argument to elucidate the phenomenal, interior aspects of experience. In 1908 McTaggart defined two series that characterize one dimension of time, the A-series and the B-series. The A-series is usually thought to be phenomenal Farr (2019), SEP (2018). Thus there is the possibility of giving a Knowledge Argument for time. One (informal) statement of the classical Knowledge Argument might be “Mary knows all the facts about color qualia but lives in a black-and-white room. Upon (...) being released into a colorful world, it would seem she learns something new.” The analogous Knowledge Argument for Time (KAT) would be “Nathan knows all the facts about time but lives in a B-series room. Upon being released into a world with both an A-series and a B-series it would seem he learns something new.” I give variations of the KAT based on various distinctions. I don’t give any particular proposed solutions to the Knowledge Arguments for Time. Rather, the point is to state the Arguments (or indicate how they may be stated). It may be hoped that these will help clarify some issues in the philosophy of time and lead to a cross-fertilization between the philosophy of time and the philosophy of mind. (shrink)

This essay frames systemic patterns of mental abuse against women of color and Indigenous women on Turtle Island (North America) in terms of larger design-of-distribution strategies in settler colonial societies, as these societies use various forms of social power to distribute, reproduce, and automate social inequalities (including public health precarities and mortality disadvantages) that skew socio-economic gain continuously toward white settler populations and their descendants. It departs from traditional studies in gender-based violence research that frame mental abuses such as (...) gaslighting--commonly understood as mental manipulation through lying or deceit--stochastically, as chance-driven interpersonal phenomena. Building on structural analyses of knowledge in political epistemology (Dotson 2012, Berenstain 2016), political theory (Davis and Ernst 2017), and Indigenous social theory (Tuck and Yang 2012), I develop the notion of cultural gaslighting to refer to the social and historical infrastructural support mechanisms that disproportionately produce abusive mental ambients in settler colonial cultures in order to further the ends of cultural genocide and dispossession. I conclude by proposing a social epidemiological account of gaslighting that a) highlights the public health harms of abusive ambients for minority populations, b) illuminates the hidden rules of social structure in settler colonial societies, and c) amplifies the corresponding need for structural reparations. (shrink)

In The Souls of Black Folk, W.E.B. Du Bois introduces double consciousness as a result of racial prejudice and oppression. Explained as a state of confliction felt by black Americans, Du Bois presents double consciousness as integral to understanding the black experience. Later philosophers question the importance of double consciousness to current race discussions, but this paper contends that double consciousness provides valuable insights into black and white relations. To do this, I will utilize the modern slang term, “Oreo,” (...) to highlight how a perceived incompatibility between blacks and whites could prevent America from achieving a greater unity. (shrink)

This paper is a new defense of type-B materialism against Jackson’s knowledge argument (1982) inspired by the Kantian main opposition between concepts and sensible intuitions. Like all materialists of type B, I argue that on her release from her black-and-white room, Mary makes cognitive progress. However, contrary to the so-called phenomenal concept strategy (henceforth PCS), I do not think that such progress can be accounted for in terms of the acquisition of new concepts. I also reject Tye’s recent account (...) of Mary’s cognitive progress as the acquisition of a “thing-knowledge.” What is crucial is not the Russellian opposition between knowing things and knowing truths but rather the Kantian opposition between conceptual and nonconceptual representations of the same thing (property). Mary’s phenomenal knowledge is here accounted for as the result of the cooperation of her newly acquired nonconceptual representation of the same phenomenal redness (the same thing) she had a conceptual representation before. As that new nonconceptual representation carries information about the same physical property she already represented but is now coded in analog rather than in digital form (Dretske, 1981), that nonconceptual representation can be accounted for in physical terms as Chalmers’s Master argument requires. Nevertheless, that representation can account for Mary’s cognitive progress since it carries information coded in analog form, something that the imprisoned she could never possess. (shrink)

In this essay I develop W.E.B. Du Bois’s concept of double consciousness to demonstrate the limitations of Kant’s and Rawls’s models of self-respect. I argue that neither Kant nor Rawls can explain what self-respect and resistance to oppression warrants under the conditions of violent and systematic racial exclusion. I defend Du Bois’s proposal of voluntary black self-segregation during the Jim Crow era and explain why Du Bois believes that the black American community has a moral right to assert its self-respect (...) by mitigating exposure to racial violence and animus in a white-controlled polity. (shrink)

This article explores Fanon's thought on dance, beginning with his explicit treatment of it in Black Skin, White Masks and The Wretched of the Earth. It then broadens to consider his theorization of Black embodiment in racist and colonized societies, considering how these analyses can be reformulated as a phenomenology of dance. This will suggest possibilities for fruitful encounters between the two domains in which (a) dance can be valorized while (b) opening up sites of resignification and resistance for (...) Black persons and communities-including a revalorization of Black embodiment as a kind of empowering danced experience. (shrink)

Aristotle differentiates between otherness (ἑτερότης) and difference (διαφορὰ). Otherness has no definite respect: one thing is other than another thing only because they are not the same. Every two things which are not the same are other than each other. Therefore, two things other than each other do not need something in which they are other than each other. Difference, on the other hand, has a definite respect and one thing is different from another thing in some respect. Thus, there (...) must be something identical whereby two different things differ. (Met. , I, 1054b23-27) Therefore, there is no difference between anything and the things outside its genus. (Met., I, 1055a26-27) 1) Difference Aristotle takes two things as identical things in which difference occurs: genus and species. All things that differ differ either in genus or in species. (Met., I, 1054b27-28) a) Difference in genus Two things are different in genus if they ‘have not their matter in common and are not generated out of each other,’ which means that they belong to different figures of predication. (Met., I, 1054b28-29) They have no way to one another and are too far distinct and are not comparable. (Met., I, 1055a6-8) b) Difference in species Two things are different in species if they have the same genus (Met., I, 1054b29-30) but are not subordinate one to the other. (Met., Δ, 1018a38-b7) 2) Contrariety Aristotle mentions five senses. In the first sense he calls contraries ‘those attributes that differ in genus, which cannot belong at the same time to the same subject.’ (Met., Δ, 1018a25-27) Three senses emphasize on having the most difference either in the same genus, the same receptive material or the same category, all similar to genus. The fifth sense also insists on having the greatest difference but mentions species besides genus as where difference occurs. (Met., Δ, 1018a27-31) It seems that Aristotle is more inclined to the second sense as his definition in Metaphysics, I, 1055a27-29 might concede: ‘The things in the same genus which differ most are contraries; for the complete difference is the greatest difference among these,’ though he agrees with the third sense too and regards those that differ most in the same receptive material also as contraries. (Met., I, 1055a29-30) In fact, Aristotle speaks of all kinds of contraries within, without or in genera: ‘All contraries must either be in the same genus or in contrary genera or be themselves genera.’ Their corresponding examples are white and black (in the same genus), justice and injustice (in contrary genera) and good and bad (themselves genera). (Cat., 11, 14a19-25) To speak generally, as one of the four kinds of opposition, contraries are those that cannot belong at the same time to the same thing. (Met., Γ, 1011b15-18) Thus, contrariety (ἐναντιότης) is complete difference (Met., I, 1055a16-17) and contraries are the extremes of things that differ in species for which generation takes place and have the greatest distance. (Met., I, 1055a8-10; Δ, 1018a38-b7) Since contraries have the extreme difference, there cannot be more than one contrary and extreme for each thing. (Met., I, 1055a19-21) Thus, the things in the same genus which differ most are contraries. (Met., I, 1055a27-28) Aristotle says that the meaning of calling two things ‘other in species’ is that they are contrary and this being other in species he posits versus being the same in species. (Met., I, 1058a17-28) Aristotle even calls ‘the difference between things which differ in species’ a difference that belongs only to things in the same species. (Met., I, 1058a26-28) The reason is that ‘all things are divided by opposites and … contraries are in the same genus … and every difference in species is a difference from something in something … Hence also all contraries which are different in species … are … other than one another in the highest degree- for the difference is complete-, and cannot be present along with one another.’ The conclusion is that ‘The difference, then, is a contrariety.’ (Met, I, 1058a8-16) There are some characteristics for contraries in Aristotle’s philosophy: a) One thing cannot have more than one contrary for there can be neither anything more extreme than the extreme, nor more than two extremes for the one interval. (Met., I, 1055a19-21) b) The primary contrariety is the contrariety between state and complete privation. (Met., I, 1055a33-37) Aristotle regards privation both as a kind of contradiction (Met., I, 1055b3-11) and as that of which contrariety is a kind: all contrariety is a privation but not all privation is contrariety. (Met., I, 1055b11-17) In fact, every contrariety involves a privation as one of its items (Met, I, 1055b17-19 and b25-29): ‘of the contraries, no less than of the contradictories, one is a privation- and a privation of substance; and privation is the denial of a predicate to a determinate genus.’ (Met., Γ, 1011b18-20) Nonetheless, the relation between contrary, privation and contradictory seems to be even more complex:’For within a single identical genus the contrary of a given attribute is either its privative or its contradictory; e.g. within number what is not odd is even, inasmuch as within this sphere even is a necessary consequent of not-odd.’ (PsA., A, 4, 73b21-24) c) A contrary cannot be an intermediate because otherwise it would not be a perfect contrary, which must be based on definition. (Met., I, 1056a12-14) d) Contraries always accept intermediates between themselves. (Met., I, 1056a14-15 e) ‘Contraries do not involve one another in their composition, and are therefore first principles.’ (Met., I, 1057b22-23) f) ‘All the inferior classes, both the contraries and their intermediates, will be compounded out of the primary contraries.’ (Met., I, 1057b31-34) g) None of the intermediables can be predicated of either of the contraries. (Met., K, 1063b19-22) h) Contrary propositions (as defined in OI, I, 7, 17b3-6) can never both be true because they state contrary conditions which cannot subsist at one and the same time in the same subject. (OI, II, 14, 24b7-) 3) Otherness in kind Aristotle also speaks of things other in kind (ἓτερα τῷ γένει) by which he means an otherness between things ‘whose ultimate substratum is other and one cannot be analysed to the other nor both into the same thing. His example of this otherness in kind is the otherness of form and matter. (Met., Δ, 1024b9-12) 4) Network of difference and wholism Aristotle speaks of a theory based on which the knowledge of each thing depends on the knowledge of its differentiae distinguishing it from every single other thing. Therefore, to know and define one thing we need to know the whole existence. (PsA., B, 13, 97a6-11) Aristotle rejects this theory based on the fact that ‘not every differentia precludes identity’ and, thus, many differentiae inhere in things specifically identical, though not in the substance of these nor essentially.’ (PsA., B, 13, 97a11-14) 5) Knowledge and difference There must be some kind of relation between knowledge and difference in Aristotle’s saying that sight, more than other senses, makes us know and bring in light many differences between things. (Met., A, 980a24-27) . (shrink)

Aristotle’s analysis of language is, firstly, on the basis of co-positing and positing away: this is the starting point of analysis: what is asserted in language either involves a co-positing or does not (Cat. , 2, 1a16-17). Although he does not explain what he means by co-positing, we can see that he considers something like a sentence (his examples: man runs, man wins) and not merely a co-positing of two words like not-man, which he calls an indefinite noun (OI., 2, (...) 16a30-32). Aristotle and his contemporaries had no word for ‘word.’ The closest words for ‘word’ are ὄνομα and λόγος. ὄνομα is distinguished from ῥῆμα (verb) and, thus, cannot mean word. λόγος means a sentence or statement. Daniel W. Graham (Aristotle’s Two Systems, 1987, Oxford University Press, 38, fn.27) renders λεγομενον as ‘word.’ The problem with this suggestion is that, as Aristotle asserts in Categories, it is used both for single words and the composition of several words and even sentences. Aristotle distinguishes a noun from all the followings: a) A co-positing of words: noun is a word that is said without co-positing. (Cat., 2, 1a16-19) b) Inarticulate sounds: the sounds like those that brutes produce are not considered as nouns, though Aristotle believes that they are significant. (OI., 2, 16a28-29) c) Verbs: words that carry with them the notion of time. (OI., 2, 16b6-8) So far, a noun is a word said without co-positing, without the notion of time and distinguished from inarticulate sounds. What remains in language, however, is not necessarily a proper noun, though it is related with noun. What remain are different kinds of names: 1) Noun (ὄνομα) or definite noun: a sound that is significant by convention and of which no part is significant from the rest (OI., I, 1, 16a19-20) unless not having an independent meaning, the parts contribute to the meaning of the whole (OI., I, 1, 16a22-27). This latter condition is indeed a division made by Aristotle between two kinds of nouns: a. Simple nouns: a word in which the part is in no way significant. b. Composite nouns: a word in which though the part may be significant, i) it contribute to the meaning of the whole and ii) it does not have an independent meaning. 2) Indefinite noun: expressions like ‘not-man’ that i) have no recognized term by which denote the expression and ii) are not a sentence or denial by themselves (OI, 2, 16a28-29; 10, 19b8-10). 3) Cases of a noun. This is what used in languages like Greek language that have different cases. They show the senses that are asserted by other elements like prepositions in languages like English in a form or case of the name. Thus, e.g. Φίλωνος means ‘of Philo’ while Φίλωνι means ‘to Philo’. The cases of a noun have the same definition as the noun itself. However, they are not able to combine with any of the different tenses of the verb ‘is’ so that a true or false preposition results. (OI., 2, 16ab4-5). Aristotle thinks convention (συνθήκην) is the basis of the formation of nouns: ‘The limitation ‘by convention’ was introduced because nothing is by nature a noun- it is only so when it becomes a symbol.’ (OI., I, 1, 16a27-28) In Greek language, Francesco Ademollo notes (B508, 34), onoma has a close etymological connection with any transitive verb. Thus, it seems that an onoma is essentially ‘an expression that names or refers to something. It is strange that Aristotle does not distinguish proper from improper noun. We find no text in which Aristotle made such a distinction. In fact, it seems nouns are essentially improper for him: ‘A name, e.g. ‘round,’ means vaguely a sort of whole: its definition analyses this into its particular senses. Similarly, a child begins by calling all men ‘father’ and all women ‘mother’ but later on distinguishing each of them.’ (Phy., A, 1) Nouns necessarily are applicable to others: ‘If one were defining you, he would say ‘an animal which is lean’ or ‘white’ or something else which will apply to someone other than you.’ (Met., Z, 1040a12-14) -/- . (shrink)

In Physics (Δ, 3, 210a14-24) Aristotle distinguishes eight senses in which one thing is said to be in another thing: 1. Part in whole; e.g. finger in hand 2. The whole in its parts: ‘For there is no whole over and above the parts.’ 3. Species in genus; e.g. man in animal 4. Genus in species (generally: the part of the specific form in the definition of the specific form) 5. Form in matter; e.g. health in the hot and the (...) cold 6. Event in its primary motive agent; e.g. the affairs of Greece center in the king 7. Existence of a thing centeres in its end (in ‘that for the sake of which’ it exists) 8. A thing in place, e.g. a thing in a vessel (‘the strictest sense of all’) Also in Physics (Δ, 3, 210b22-27) he distinguishes between three senses of ‘being in’ one of which is not among the above mentioned list: being in place (sense 8 above), as health is in the hot as a positive determination of it (sense 2 above) and an affection in a body. Since an affection in a body is neither a part in whole, nor a whole in part, nor a species in genus, nor a genus in species, nor a form in matter, nor an event in its motive agenet, nor a thing in its end, nor a thing in place, we must consider it the 9th sense: 9. An affection in its subject It is too strange, however, how this third sense is not among those eight senses while both are in the same page of Physics. It becomes even more strange when we read Categories where we see the crucial role of this last sense in Aristotle’s philosophy. There Aristotle distinguishes between two factors based on which he classifies beings to four classes: ‘being in’ and ‘being said of.’ The only thing he distincts this sense of ‘being in’ from is the first sense of our list, i.e. the sense of a part in a whole. He even does not distinguish it there from being in place, a differentiation he asserts in Physics (Δ, 3, 210b22-27). Nonetheless, we have implications there that: a) It must be differentiated from the sense (4) because it is repeatedly asserted that secondary substances are not in a subject. (Cat., 2 and 5) Thus the fourth sense in which a genus, a secondary substance, is in a species must be other than the ninth sense. b) It must also be different from the second sense because a quality or a quantity or generally an accident in a subject, if we are assumedly allowed to say so, is not a whole in its parts. c) It must also be differentiated from the senses (3), (5), (6) and (7) because no accident is either a species, a form, an event in its primary motive agent or a thing in its end. The origin of the problem of being non-comprehensive of the senses of ‘being in’ in Physics must be somewhere in the difference between Aristotle’s view in Categories and Physics: while in Categories he does not consider the ‘being in’ of quality in its subject as a part that is in, he considers it so in Physics: ‘It is from these, which are ‘parts’ (in the sense at least of being ‘in’ the man), that the man is called white …. So when there are parts, a thing will be in itself, as ‘white’ is in man because it is in body.’ (Phy., Δ, 3, 210b1-8) Whereas in Physics ‘white,’ a quality, is considered a part and its being in body is considered ‘being in’ of a part, it is not a part in Categories. (refer to Categories; cf. Cat., 5,3a29-32) If I am right in my interpretation, we must say that the ninth sense is indeed the same as the first sense and, thus, Physics’ eight partite classification somehow includes the sense mentioned in Categories. The case is not, however, so simple. What is ‘in its subject as its part in Physics is not the same as what is in its subject but not as its part in Categories. What is said to be in its subject in Physics is indeed the surface and not the white: ‘When there are parts of a whole- the one that in which a thing is, the other the thing which is in it- the whole will be described as being in itself. For a thing is described in terms of its parts, as well as in terms of the thing as a whole, e.g. a man is said to be white because his visible surface is white; or he is said to be scientific because his thinking faculty has been trained…. In this sense, then, but not primarily, a thing can be in itself, namely, as ‘white’ is in body (for the visible surface is in body), and science is in the mind.’ (Phy., Δ, 3, 210a30-b1) . (shrink)

Contrary to nouns and verbs that either do not include a co-positing of parts, including nouns and some verbs, or if they are, their parts do not significate separately, a sentence (λόγος) is a ‘significant portion of speech by co-positing, its parts signify something separately, though not as a positive or negative judgment but as utterance.’ (OI ., I, 4, 16b26-28). Therefore, every utterance in language that i) includes parts, ii) its signification is based on the co-positing of its parts, (...) iii) each of its parts is separately significant but iv) the signification of its parts is the signification of an utterance and not a judgment, is a sentence. This definition distinguishes a sentence from: a) Nouns: because they do not have parts; b) Verbs: because they either do not have parts or if they have, their parts do not significate separately; c) Those co-positings of words whose significance is not based on their co-positing. Thus a co-positing like ‘wall tree house’ is not a sentence because it has no significance on the basis of its co-positing; d) Those co-positings that the signification of at least some of their parts is the signification of judgments. Thus, ‘Socrates is from Athens and is a philosopher’ is not a sentence because at least one of its parts, e.g. ‘Socrates is from Athens’ signifies a judgment. Those sentences that either of truth or falsity belongs to them are propositions (ἀπόφανσις or λόγος ἀπόφαντικὸς). (OI., I, 4, 17a2-3) It is this and only this kind of sentence that is the subject of study in philosophy. (OI., I, 4, 17a5-7) The primary forms of a proposition are, firstly, an affirmation (κατάφασις) and then a negation (ἀπόφασις). (OI., I, 4, 17a8-9) To have an affirmation or a denial and, thus, a proposition, what firstly is necessary is a verb or the tense of a verb (OI, I, 4, 17a9-12; I, 10, 19b12-13; OI, I, 4, 16b28-30) and a noun (OI, I, 10, 19b10-12). Aristotle draws a contrast between single and plural proposition: a) Single proposition: a proposition that ‘indicate a single fact, or the conjunction of the parts of which results in unity.’ (OI., I, 5, 17a15-16) b) Plural propositions: a proposition that ‘are separate and many in number, which indicate many facts, or whose parts have no conjunction.’ (OI., I, 5, 17a16-17) He also differentiates between simple and composite propositions (OI, I, 5, 17a20-22): a) Simple proposition: ‘that which asserts or denies something of something’; b) Composite propositions: ‘that which is compounded of simple propositions.’ A simple (ἁπλῆ) proposition is a statement about the belonging or not belonging of something (OI, I, 5, 17a22-24). Affirmation and denial are indeed kinds of simple proposition, one affirming the belonging and the other not belonging. An affirmation or denial may be single or non-single. A single affirmation or denial ‘signifies some one fact about some one subject. This singularity is destroyed neither by the universality of subject nor by the universal character of the statement. The only thing that destroys this singularity is that one part signifies more than one thing, which makes the proposition more than one proposition (OI, I, 8, 18a13-27). In other words, neither ‘predication of one thing of many subjects’ nor ‘many things of the same subject’ results in a unitary proposition. (OI., II, 11, 20b13-16) There is also another cause that might destroy the unity of predicate and thus the unity of proposition, namely when one of the parts of the predicate is implicit in the other. Thus, e.g. animal-man does not form a unity because the notion ‘animal’ is implicit in ‘man.’ (OI., II, 11, 21a16-18) The following are characteristics of propositions: 1. That about which an affirmation signifies something is a noun, whether definite or indefinite. (OI., I, 10, 19b5-12) Moreover, there can be no affirmation or denial without a verb. (OI., I, 10, 19b12-19) Therefore, a proposition must involve at least a noun and a verb. 2. Contrary propositions: since both belonging and not belonging of something to something is possible, we are able to make a negative proposition out of an affirmative one and vice versa. (OI., I, 5, 17a26-31) Therefore, ‘every affirmation has an opposite denial’ and vice versa. (OI., I, 6, 17a31-33) The contradictory of each proposition is made by changing the positivity or negativity of the verb ‘to be’ to its opposite but not by changing the subject to its opposite. Thus, the contradictory of ‘man is white’ is ‘man is not white’ and not ‘not-man is white.’ (OI., II, 11, 21a38-b5) What happens in the mentioned wrong form of contradictory propositions is that they change the subject while the denial must be the contrary of the affirmation about the same subject. (cf. OI., II, 14, 24b1-6) This is made plain in propositions involving a verb other than ‘to be’. What must be changed in these propositions is the verb and not the noun or the subject. Thus, the contradictory of ‘Socrates runs’ is ‘Socrates does not run’ and not ‘not-Socrates runs.’ 3. Conversion possible: ‘Out of conversion (μετατιθεμένου) of the name and the verb, the same affirmation and denial is generated. (OI., I, 10, 20b10-12) In other words, the two affirmations or denials ‘signify the same thing.’ (OI, I, 10, 20b1-2) . (shrink)

I propose that the intensification of meat production ironically makes meat concepts available to be populated by plants. I argue that what I call “technologies of effacement” facilitate the intensification of animal farming and slaughter by blocking face-to-face encounters between animals and people (Levinas 1969; Efstathiou 2018, 2019). My previous ethnographic work on animal research identifies technologies of effacement as including (a) architectures and the built environment, (b) entry and exit rules, (c) special garments, (d) naming and labeling procedures, and (...) (e) protocols for handling animals (Efstathiou 2018, 2019). Building on ethnographic research by Dawn Coppin (2003) and Nöellie Vialles (1994), in the United States and France respectively, I propose that (a) Concentrated Animal Feeding Operation (CAFO) buildings, gestation, and farrowing crates; (b) rules for entering and exiting the slaughterhouse; (c) white slaughterhouse garments; (d) unique identification systems; and (e) “trapping” animals before stunning can all operate as technologies of effacement. Though developed to serve other manifest aims, like hygiene, expediency, or safety, these technologies operate to sustain routine, inviting one to look at animals as tokens of a known type while blocking encounters between humans and animals (and also among animals) as radically different, morally significant Others (Efstathiou 2018, 2019). (shrink)

Prior to this intervention the site used to be a degraded fiscal property, that functioned as a bus yard, a police legal deposit, and a restaurant parking lot. Underneath it runs the Maldonado stream culvert, covered by a concrete slab at a depth of only -20cm. Next to the site is a 5m high railroad embankment. The plot is strategically located at the end of Juan B. Justo avenue and works as a gateway to the Tres de Febrero park (also (...) known as Bosques de Palermo, the Buenos Aires’s biggest green space designed by Charles Thays in 1875). It is situated in the neighborhood of Palermo, an area that underwent a vertiginous residential and commercial expansion since the late 90´s. -/- The design approach is influenced by the adjacent urban fragments: the grounds of the Sociedad Rural Argentina, the surrounding Avenues Santa Fe-Sarmiento; the opening of Darregueyra street expected for the near future, the implementation of historic preservation guidelines for the Tres de Febrero Park, and the proposal for the development of nearby railroad yards. -/- Specifically, the project seeks to minimize the impact of the fast traffic that runs along Bullrich avenue, improving pedestrian and cycle access to the park. At the same time it defines new landscape features, utilizing the earth made available by the tunneling works of a new subway line. -/- The project comprises the structuring of an existing 800 meter long embankment and the transformation of the sidewalk into a public promenade. This is achieved through a wider sidewalk of 12m on average, which is part of a series of longitudinal stripes ranging from high speed to quiet spaces. The first band of grass and aged tipas (tipuana tipu) buffer pedestrian and cyclist from automotive traffic. Cycle traffic is organized on its own lane. The sidewalk itself contains several bays that act as urban lounges. Next, a continuous concrete bench delimits the beginning of the slope, backed by a stripe of grass that works as a soft extension. Finally, plants for contemplation are arranged as undulating traces. Rhythmic use of retaining gabions defines longitudinal segments of varying slope, unifying the spacial criterion. This series is punctuated by an amphitheater and framed by triangular plazas at the corners. -/- Material choices for hard surfaces are constrained by concerns of durability, low cost, and consistency with other ongoing public works. -/- Hard materials, as well as the plant selection needed to be low-maintenance. The palette was kept to reinforced concrete, granitic slabs, and granite stone in large size –forming retaining gabions- and as loose finishing for pavements. Likewise, the lack of a protective enclosure and of continuous surveillance dictated that urban furniture and fixtures be anti-vandalic. The stealing of these components –from inspection lids, to benches, to plants- is a common problem in urban spaces in many Latin American cities. To prevent this, fixtures must be designed according to precise specifications regarding their weight, fixing and anchoring systems, and mechanical parts. -/- Sidewalks are organized through a 6 meter grid made of granitic white slab, infilled with textured combed nonslip concrete modules. Extended bays and corner squares are finished with white and black slabs respectively. These materials are similar to another used in public spaces under construction, in the believe that it creates a collective identification of themselves along the city. -/- The continuous reinforced concrete bench is 1.10 m wide, in order to allow people to use it in non-conventional ways. Further up on the slope, undulating paths separate plant species and provide access for gardening, but are also open to use by the public. They are paved with 2 meter-long precast concrete slabs (smaller and lighter pieces were avoided to deter robbery). As they reach the gabions they connect with sloping paths covered with loose granitic stones. The gabions themselves allow the creation of varying slopes while contributing to retaining the soil, which is reinforced with geosynthetic fabric in the perimeter to avoid landslides originated by strong rains typical of the region. -/- Urban furniture is featured on the wider bays of the sidewalk and at corner plazas. It includes seats, water fountains, bicycle racks, wastepaper baskets. As a counterpoint to the linear concrete bench, groups of concrete seats are arranged informally. These seats are a reinterpretation of the dynamic BKF chair (also known as Butterfly chair), the classic Argentinean design of the 1930’ by Antonio Bonet, Juan Kurchan, and Jorge Ferrari-Hardoy. A few low concrete tables complete these spaces as authentic urban lounges. Lighting design accompanies the general features of the project and creates a new scenography emphasizing night-time usage. -/- Landscape gardening criteria is set up by a selection of various species of high-resistant pasture (grass). The higher the slope, the higher the grass, increasing the final volumetric result. Based on considering the original tipas line (tipuana tipu, a species from the north of Argentina, yellow flowering) as a vertical wall that frames the view, the horizontal stripes contain a single species each, differing in size, shade and flowering periods –adding, in the middle band, a changing color on the big green plane slope in the same chromatic range. The final configuration of the stripe sequence from bottom to top: bermuda grass, bulbine frutescens, euryops pectinatus. The upper band existing native species is reinforced with new samples: paspalum exaltatum + cortadera selloana and ipomea + thumbergia climbing the railway fence. Each sector between gabions has an automated system of drip irrigation. Near the corner plazas, several palms are planted to provide shade and identity to the street-crossing. -/- The intervention proposes an ambivalent effect on the landscape, trascending the merely ornamental by accompanying the motorist in speed, while conforting the pedestrian with spaces for contemplation and urban relax. (shrink)

Some of Dave Chappelle’s uses of storytelling about seemingly mundane events, like his experiences with his “white friend Chip” and the police, are examples of what W.E.B. Du Bois calls “Positive Propaganda.” This is in contrast to “Demagoguery,” the sort of propaganda described by Jason Stanley that obstructs empathic recognition of others, and undermines reasonable debate among citizens regarding policies that matter: the justice system, welfare, inequality, and race, for example. Some of Chappelle’s humor, especially in his most recent (...) Netflix specials, but also in his earlier standup performances and his series The Chappelle Show, is akin to art that appeals to emotion in the ways suggested by Du Bois in “Criteria of Negro Art” (1926). Beauty is essential to art, but, “I do not care a damn for any art that is not used for propaganda. But I do care when propaganda is confined to one side while the other is stripped and silent” (p. 22). The “one side” is that which appears to extoll American ideals, but in reality undermines them, perpetuating the subordinate status of “the other”--black citizens. Replace “beauty” with “humor” or “funny”, and we see striking parallels between Chappelle’s socio-political performances and Du Bois’ call for positive propaganda, each of which constitute “civic rhetoric” broadly construed. We no longer live in Du Bois’ America of explicit denial of rights. In many ways our situation is worse, as the mechanisms of exclusion are implicit, difficult to dislodge, because they are invisible. Chappelles’ humor draws attention to subtle undermining-propaganda in our liberal democracy, transforming it through his counter-propaganda into the spectacle that it should be; ubiquitous democracy-denying propaganda should be as obvious to whites as it is to minorities. In his words, we should all see that “that shit is fucking incredible” (Killin’ Them Softly). (shrink)

However, there are a few points about what we can call ‘relation’ in Aristotle’s works: 1. Sound is always of something in relation to something and in something and it is impossible for one body only to generate a sound. (So., B, 8, 419b9-10) 2. Corresponding relation: ‘Let then C be to D as A, white, is to B, black; it follows alternado that C:A :: D:B. if then C and A belong to one subject, the case will be (...) the same with them as with D and B…’ 3. ‘And the case is similar in regard to the states of the soul, all of which (like those of body) exist in virtue of particular relations… In the first place, it is much more true of the possession of knowledge that it depends upon a particular relation. And further, it is evident that there is no becoming of these states. For that which is potentially possessed of knowledge becomes actually possessed of it not by being set in motion at all itself but by reason of the presence of something else; i.e. it is when it meets with the particular object that it knows in a manner the particular through its knowledge of the universal.’ (Phy., Z, 3) 4. The negation of a relation must be the negation of that relation and not of its elements: ‘For the expression ‘it is true’ stands on a similar footing to ‘it is.’ For the negation of ‘it is true to call it white’ is not ‘it is true to call it not-white’ but ‘it is not true to call it white.’ (PsA., A, 46, 52a32-) 5. The fact that Aristotle does not have any word for relation is taken by some scholars (e.g. Fabio Morales ) as an evidence that Aristotle lays emphasis on the relata instead of the relation itself. 6. Knowledge and relation. Aristotle has a very interesting assertion about the relation between knowledge and relation: ‘It is much more true of the possession of knowledge that it depends upon a particular relation [instead of alteration]. And further, it is evident that there is no becoming of these states. For that which is potentially possessed of knowledge becomes actually possessed of it not by being set in motion at all itself but by reason of the presence of something else: it is when it meets with the particular object that it knows in a manner the particular through its knowledge of the universal.’ (Phy., Z, 3) . (shrink)

Milgram’s experiments, subjects were induced to inflict what they believed to be electric shocks in obedience to a man in a white coat. This suggests that many of us can be persuaded to torture, and perhaps kill, another person simply on the say-so of an authority figure. But the experiments have been attacked on methodological, moral and methodologico-moral grounds. Patten argues that the subjects probably were not taken in by the charade; Bok argues that lies should not be used (...) in research; and Patten insists that any excuse for Milgram’s conduct can be adapted on behalf of his subjects. (Either he was wrong to conduct the experiments or they do not establish the phenomenon of immoral obedience). We argue a) that the subjects were indeed taken in b) that there are good historical reasons for regarding the experiments as ecologically valid, c) that lies (though usually wrong) were in this case legitimate, d) that there were excuses available to Milgram which were not available to his subjects and e) that even if he was wrong to conduct the experiments this does not mean that he failed to establish immoral obedience. So far from ‘disrespecting’ his subjects, Milgram enhanced their autonomy as rational agents. We concede however that it might (now) be right to prohibit what it was (then) right to do. (shrink)

This paper aims to suggest a new approach to Plato’s theory of being in Republic V and Sophist based on the notion of difference and the being of a copy. To understand Plato’s ontology in these two dialogues we are going to suggest a theory we call Pollachos Esti; a name we took from Aristotle’s pollachos legetai both to remind the similarities of the two structures and to reach a consistent view of Plato’s ontology. Based on this theory, when Plato (...) says that something both is and is not, he is applying difference on being which is interpreted here as saying, borrowing Aristotle’s terminology, 'is is (esti) in different senses'. I hope this paper can show how Pollachos Esti can bring forth not only a new approach to Plato’s ontology in Sophist and Republic but also a different approach to being in general. -/- Keywords Plato; being; difference; image; pollachos esti; pollachos legetai 1. Being, Not-Being and Difference The three dialogues where the notion of "difference" attaches to the notion of being, namely Parmenides II, Sophist and Timaeus,and specifically the first two we try to discuss here. In these dialogues, Plato is going to achieve a new and revolutionary understanding of being which is not anymore based on the notion of "same" as it was before in Greek ontology. It was his discovery, I think, that the notion of being in the Greek ontology is attached to the notion of the "same" and it is because of this attachment that there have always been many problems understanding being especially after Parmenides. That being has always been relying on the "same" can be found out from the way most of the Presocratics understood it. It was based on such a relationship between being and "same" that a later Ionian, Heraclitus of Ephesus, rejected Being by rejecting its sameness: unable to be the same, being cannot be being anymore but becoming. Heraclitus’ criticism of his predecessors’ understanding of being was due to his discovery that what they call being is not the same but different in every moment. The relation of being and sameness reaches to its highest point in Parmenides. What Plato does in using the "difference" is nothing but the establishment of a creative relation between being and "difference". In this new relation, although he is in agreement with Heraclitus that being is not the same but different, he does not do it by use of becoming. He disagrees, on the other hand, with Parmenides that such a relation between being and difference leads to not being. At Parmenides 142b5-6 it is said that if One is, it is not possible for it to be without partaking (μετέχειν) of being (οὐσίας), which leads to the distinction of being and one: -/- So there would be also the being of the one (ἡ οὐσία του̑ ἑνὸς) which is not the same (ταὐτὸν) as the one. Otherwise, it wouldn’t be its being, nor the one would partake of it. (142b7-c1) -/- The fact that what is (ἔστι) signifies (σημαῖνον) is other (ἀλλο) than what One signifies (c4-5), is being taken as a reason for their distinction. The conclusion is that when we say 'one is', we speak of two different things, one partaking of the other (c5-7). Having repeated these arguments of the otherness of being and one at 143a-b, Parmenides says that the cause of this otherness can be neither Being nor One but "difference": -/- So if being is something different (ἕτερον) and one something different (ἕτερον), it is not by being one that the one is different from being nor by its being being that being is other than one, but they are different from each other (ἕτερα ἀλλήλων) by difference (τῷ ἑτερῳ) and otherness (ἄλλῳ). (143b3-6) -/- The fifth hypothesis, 'one is not' (160b5ff.) is also linked with the notion of difference. When we say about two things, largeness and smallness, that they are not, it is clear that we are talking about not being of different (ἕτερον) things (160c2-4). When it is said that something is not, besides the fact that there must be knowledge of that thing, we can say that it entails also its difference: 'difference in kind pertains to it in addition to knowledge' (160d8). Parmenides explains the reason as such: -/- For someone doesn’t speak of the difference in kind of the others when he says that the one is different from the others, but of that thing’s own difference in kind. (160e1-2) -/- Although the theory of being as "difference" is not fulfilled yet, an exact look at what occurs in Sophist can make us sure that this was the launching step for "difference" to get its deserved role in Plato’s ontology. The notion of the "difference" is not yet well-functioned in Parmenides because we can see that being is still attached to the same: -/- For that which is the same is being (ὄν γὰρ ἐστι τὸ ταὐτόν) (162d2-3). -/- The notion of difference in Sophist is the key element based on which a new understanding of being is presented and the problem of not being is somehow resolved. The friends of Forms, the Stranger says, are those who distinguish between being and becoming (248a7-8) and believe that we deal with the latter with our body and through perception while with the former, the real being (ὄντως οὐσίαν) with our soul and through reasoning (a10-11). Being is then bound with the "same" by adding: -/- You say that being always stays the same and in the same state (ἣν ἀεὶ κατὰ ταὐτὰ ὡσαύτως ἔχειν) but becoming varies from one time to another (δὲ ἄλλοτε ἄλλως). (248a12-13) -/- That the theory of the relation of being and capacity (247d8f., 248c4-5) matches more with becoming than with being (248c7-9) must be rejected because being is also the subject of knowledge which is kind of doing something (248d-e). It does, however, confirm that 'both that which changes and also change have to be admitted as existing things (ὄντα) (249b2-3). I believe that this is what Socrates would incline to do at Theaetetus 180e-181a, that is, putting a fight between two parties of Parmenidean being and Heraclitean becoming and then escaping. The solution is that becoming is itself a kind of being and we ought to accept what changes as being. This is what must be done by a philosopher, namely, to refuse both the claim that 'everything is at rest' and that 'being changes in every way' and beg, like a child, for both and say being (τὸὄν) is both the unchanging and that which changes (249c10-d4). This kind of begging for both is obviously under the attack of contradiction (249e-250b). For both and each of rest and change similarly are (250a11-12) but it cannot be said either that both of them change or both of them rest, being must be considered as a third thing both of the rest and change associate with (250b7-10). The conclusion is that 'being is not both change and rest but different (ἕτερον) from them instead' (c3-4). The notion of difference helps Plato to take being departed from both rest and change because it was their sophisticated relation with being that made the opposition of being and becoming. Plato is now trying to separate being from rest and, thus, from "same" by "difference". Such a crucial change is great enough to need a 'fearless' decision (256d5-6). The possibility of being of not being is resulted (d11-12) comes as the answer to the question 'so it’s clear that change is not being and also is being (ἡ κίνησις ὄντως οὐκ ὄν ἐστι καὶ ὄν) since it partakes in being?' (d8-9). It is then by the notion of difference that becoming is considered as that which both is and is not. This coincidence of being and not being about change is apparently similar to Socrates’ paradoxical statement at Republic 477a about what both is and is not. -/- Introduction The Republic 476-477 has always been a matter of controversy mainly about two interwoven points. The first problem is the meaning of being here; that whether what he has in mind is a veridical, existential or propositional sense of being. The second problem is his distinction between the objects of knowledge and opinion which seems to lead, some believe, to the Two Worlds (TW) theory. The crucial point in Republic is that what is considered between knowledge (ἐπιστήμης) and ignorance (α͗γνοιας), namely opinion, must have a different object that leads Socrates to draw the distinction of knowledge and opinion between their objects. The problem of understanding being in the fifth book of the Republic is that when it is said that the Form of F is F but a particular participating in F, both is and is not F, it sounds too bizarre and unacceptable. It cannot be imaginable how a thing can be existent and non-existent at the same time. At the first sight, the only solution seems to be the degrees of existence which is called by Annas (1981, 197) a 'childish fallacy' and a 'silly argument'. Kirwan (1974, 118) thinks that Republic V does not attribute 'any doctrine about existence' to Plato and Kahn (1966, 250) claims that the most fundamental value of einai when used alone (without predicate) is not "to exist" but "to be so", "to be the case" or "to be true". The problems of understanding being in Republic and Sophist besides the difficulties of the existential reading led scholars to the other senses of being, mostly related to the well-known Aristotelian distinctions between different senses of being. In the predicative reading, Annas, for example, refers this difference to the qualified and unqualified application. Whereas the Form of F is unqualifiedly F, a particular instance of F can be F only qualifiedly (1981, 221). Vlastos’ well-known substitution of 'degrees of reality' for 'degrees of being/existence' must be categorized as a predicative reading. Kahn thinks that the basic sense of being for Plato is 'something like propositional structure, involving both predication and truth claims, together with existence for the subject of predication' (2013, 96). Believing that the complete-incomplete distinction terminology is misleading about Plato, he thinks that semantic functions are only second-order uses of the verb and it is the predicative or incomplete function which is fundamental. Suggesting a veridical reading, Fine (2003, 70 ff) thinks that while both existential and predicative readings separate the objects of knowledge and belief, it is only her reading which does not force such separation of the objects and thus does not imply TW. Stokes (1998, 266) thinks that though Fine is right saying that Plato does not endorse TW in book V, she is wrong in rejecting existential in favor of the veridical reading. The reception of existential reading can be seen more obviously in Calvert who thinks, in agreement with Runciman, that 'it would be safer to say that Plato’s gradational ontology is probably not entirely free from degrees of existence' (1970, 46). At Sophist 254d-e Plato singles out five most important kinds (or Forms!?) in which the same (ταὐτὸν) and difference (θάτερον) are regarded besides being, rest and change. They are, therefore, neither the same nor the difference but share in both (b3). Being (τὸ ὄν) cannot be the same also because if they 'do not signify distinct things' both change and rest will have the same label when we say they are (255b11-c1). We have then four distinct kinds, being, change, rest and same, none of them is the other. The case of difference is more complicated. When the stranger wants to assess the relation of being and difference, he can say simply neither that they are distinct nor that they are not. He has to make an important distinction inside being to get able to draw the relation of being and difference: -/- But I think you'll admit that some of the things that are (τῶν ὄντων) are said (λέγεσθαι) by themselves (αὐτὰ καθ’ αὑτά) but some [are said] always referring to (πρὸς) other things (ἄλλα) (255b12-13) -/- The difference is always said referring to other things (τὸδέγ’ ἕτερον ἀεὶ πρὸς ἕτερον) (255d1). It pervades all kinds because each of them should be different from the others and is so due to the difference and not its own nature (253e3f.) After asserting that change is different from being and therefore both is and is not (256d), the difference is described as what makes all the other kinds not be, by making each different from being. Given that all of them are by being, this association of being and difference is the cause of their being and not-being at the same time, the issue that its version at RepublicV made all those controversies we discussed above: -/- So in the case of change and all the kinds, not being necessarily is (Ἔστιν ἄρα ἐξ ἀναγκης τὸ μὴ ὄν). Τhat’s because as applied to all of them, the nature of the difference (ἡ θατέρον φύσις) makes each of them not be by making it different from being. And we’re going to be right if we say that all of them are not in the same way. And conversely [we’re also going to be right if we say] that they are because they partake in being. (Sophist 256d11-e3) -/- Plato’s new construction of five distinct kinds and the role he gives to thedifference among them is aimed to resolve the old problem of understanding being which has always been annoying from the time of Heraclitus and Parmenides. Both the ontological status of becoming and that of not being were, in Plato’s mind, based on the absolute domination of the notion of the Same over being. Now, not only becoming is understandable as being but also not being which is not the contrary of being anymore but only different (ἕτερον) (257b3-4). Though I agree partly with Frede that the account of not being which is needed for false statements is more complicated than just saying, as Cropsey (1995, 101) says, that Plato is substituting 'X is not Y' with 'X is different from Y', I totally disagree with him that when we say X is not beautiful, Plato could not have thought that it is not a matter of its being different from beautiful because 'it would be different from beauty even if it were beautiful by participation in beauty' (1992, 411). Conversely, as we will discuss, it is exactly the relation of the beautiful thing, X, and the beautiful itself, in which X shares that is to be solved by the notion of not being as difference. Though it is beautiful because of sharing in beauty, X is not beautiful because it is different from beautiful itself. What the difference is to do is to show how something can both be and not be the same thing. The difference is what makes one thing both be and not be a certain other thing. This equips the difference with the ability to explain a certain thing’s not-being when it is. Thanks to the notion of difference, it is now possible to explain not only not being but also the simultaneous being and not being of a thing: 'What we call "not-beautiful" is the thing that ἕτερόν ἐστιν from nothing other than του̑ καλου̑ φύσεως' (257d10-11). The result is that not beautiful happens to be (συμβέβηκεν εἶναι) one single thing among kinds of beings (τι τῶν ὄντων τινὸς ἑνὸς γένους) and at the same time set over against one of the beings (πρός τι τῶν ὄντων αὖ πάλιν ἀντιτεθὲν) (257e2-4) and thus be something that happens to be not beautiful (εἶναί τις συμβαίνει τὸ μὴ καλόν); a being set over against being (ὄντος δὴ πρὸς ὄν ἀντίθεσις) (e6-7). Neither the beautiful is more a being (μα̑λλον ... ἐστι τῶν ὄντων) nor not beautiful less (e9-10) and thus both the contraries similarly are (ὁμοίως εἶναι) (258a1). This conclusion, it is emphasized again (a7-9), owes to θατέρου φύσις now turned out as being. Therefore, each of the many things that are of the nature of the difference and set over each other in being (τῆς τοῦ ὄντος πρὸς ἄλληλα ἀντικειμένων ἀντίθεσις) is being as being itself is being (αὐτοῦ τοῦὄν τοςοὐσία ἐστιν) and not less. They are different from, and not the contrary of, each other (a11-b3). This is exactly τὸμὴὄν, the subject of the inquiry (b6-7). Hence, not being has its own nature (b10) and is one εἶδοςamong the many things that are (b9-c3). Such far departing from Parmenides’ ontological principle is done on the basis of the nature of the difference. It was the discovery of such a notion that made the stranger brave enough to say that not being is each part of the nature of the difference that is set over against being (258d7-e3, cf. 260b7-8). That the relation of being and difference is difference is the key element of the new ontology. The difference is, only because of its sharing in being, but it is not that which it shares in but different from it (259a6-8). Not being is exactly based on this difference: ἕτερον δὲ τοῦ ὄντος ὄν ἔστι σαφέστατα ἐξ ἀνάγκης εἶναι μὴ ὄν (a8-b1). 2. Difference and the Being of a Copy We discussed above that the sense of being of particulars in Republic V made so many debates that whether being is there used in an existential sense or not. Particulars in Republic are regarded as images in the allegories of Line and Cave. The being of an image/copy makes, thus, the same problem. Plato’s analogy of original -copy for the relation of Forms and their particulars in Republic has obviously a different attitude to being. The main question is that what is the ontological status of a copy in respect of its original? Are there two kinds of being, 'real being' versus 'being' as Ketchum says (1980, 140) or only one kind? What is the difference of being in an original and its copy? Is it a matter of degrees of being or reality as some commentators have suggested? Is it a matter of being relational? By reducing the ontological issue to an epistemological one, Vlastos’ suggestion of degrees of reality in an article with the same name does neither, I think, pay attention to the problem nor resolve it. He agrees that Plato never speaks of "degrees" or "grades" of reality (1998, 219). What allows him to entitle it as such are some of Plato’s words in Republic as well as Plato’s words in some other dialogues (1998, 219). When Plato states that the Forms only can completely, purely or perfectly be real he means, Vlastos says, they are cognitively reliable (1998, 229); an obvious reduction of the issue to an epistemological one. He thinks that when in Republic we are being said that a particular’s being F is less pure than its Form, it is because it is not exclusively F, but it is and is not F and this being adulterated by contrary characters is the reason of our confused and uncertain understanding of it (1998, 222). Ketchum rightly criticizes Vlastos’ doctrine in its disparting from ontology thinking that 'to understand Plato’s talk of being as talk of reality is to obscure the close relation that exists between "being" and the verb "to be"' (1980, 213). He thinks, therefore, that οὐσία must be understοοd as being rather than reality, τὸὄν as "that which is" and not "that which is real" and … (ibid). His conclusion is that degrees of reality cannot interpret Plato correctly and we must accept degrees of being. Allen believes that a 'purely epistemic' reading of the passage in Republic is patently at odds with Plato’s text (1961, 325). He thinks that not only degrees of reality but also degrees of reality must be maintained (1998, 67). What Cooper suggests gets close to this paper’s solution: -/- Plato does not I think wish to suggest that existence is a matter of degree in the way in which being pleasant or painful is a matter of degree. Rather there are different grades of ontological status. (1986, 241) -/- A more ontological solution for the problem of understanding the being of a copy and its relation with the being of its original is suggested by the theory of copy as a relational entity. Based on this interpretation, 'the very being of a reflection is relational, wholly dependent upon what is other than itself: the original…' (Allen, 1998, 62). As relational entities, particulars have no independent ontological status; they are purely relational entities which derive their whole character and existence from Forms (ibid, 67). Although these relational entities are and have a kind of existence, we must also say that 'they do not have existence in the way that Forms, things which are fully real, do' (ibid). Allen (1961, 331) extends his theory to Phaedo where it is said that particulars are deficient (74d5-7, 75a2-3, 75b4-8), 'wish' to be like (74d10) or desire to be of its nature (75a2); an extension that, like F.C. white (1977, 200), I cannot admit. He correctly states that Plato did not start out with a doctrine of particulars as images and semblances but come to such a view after Phaedo, or perhaps after Republic V (1977, 202). Though we may not agree with him about Republic V, if we have to consider its last pages also, we must agree with him that not only the ontology of Phaedo but also that of Republic II-V (except the last pages of the latter book) are somehow different from (but at the same time appealing to) the ontology of original-copy which should exclusively assign to Sophist, Timaeus and RepublicVI-VII besides the last pages of book V. The answer to the problem of Plato’s sense of being in RepublicV can be reached only if we read Republic V based on and as following Sophist. We can find out his meaning of that which both is and is not only by the ontological status he assigns to a copy in Sophist. The kind of being of a copy in Sophist reveals as Plato’s key for the lock of the problem of not being. Let’s see how the ontological status of a copy is the critical point of Plato’s ontology. In the earlier pages of Sophist, we are still in the same situation about not being. To think that that which is not is is called a rash assumption (237a3-4) and Parmenides’ principle of the impossibility of being of not being is still at work (a8-9). At 237c1-4, the problem of "not being" is noticed in a new way which shows some kinds of a more realistic position to the problem of not being. Nevertheless, not being is still unthinkable, unsayable, unutterable and unformulable in speech (238c10). Soon after mentioning that it is difficult even to refuse not being (238d), the solution to the problem appears: the being of a copy (εἴδωλον) (239d). A copy is, says Theaetetus, something that is made referring to a true thing (πρὸς τἀληθινὸν) but still is 'another such thing (ἕτεροντοιου̑τον)' (240a8). Nevertheless, this 'another such thing' cannot be another such real or true thing. In answer to the question of the Stranger that if this 'another such thing' is the true thing (240a9), Theaetetus answers: οὐδαμῶς ἀληθινόν γε, ἀλλ’ ἐοικὸςμὲν (240b2). A copy’s being 'another such thing' does not mean another true thing but only a resemblance of it. Not only is not a copy another true thing besides the original, but it is the opposite of the true thing (b5) because only its original is the thing genuinely and being a copy is being the thing only untruly. The word ἐοικὸς is opposed to ὄντως ὄν in the next line (240b7): 'So you are saying that that which is like (ἐοικὸς) is not really that which is (οὐκ ὄντως [οὐκ] ὄν)'. But still a copy 'is in a way (ἔστι γε μήν πως)' (b9). While it is not really what it is its resemblance, it has its own being and reality because it really is a likeness (εἰκων ὄντως) (b11). The Stranger asks: -/- So it is not really what is (οὐκ ὄν ἄρα [οὐκ] ὄντως ἐστὶν) but it really is what we call a likeness (ὄντως ἣν λέγομεν εἰκόνα)? (b12-13) -/- This is Plato’s innovative ontological solution to the problem of not being. Theaetetus’ answer confirms this: 'Maybe that which is not is woven together with that which is' (c1-2). Therefore, a copy neither is what really is nor is not-being but only is what in a way is. Thanks to the ontological status of a copy, the third status intermediate between being and not being is brought forth. The essence of an image, in Kohnke’s words, does not consist 'solely in the negation of what is genuine and has real being' because otherwise 'it would be an ὄντως οὐκ ὄν,essentially and really a not being' (1957, 37). The characteristics of a copy can be summed up as folows: i) A copy is a copy by referring to a true thing (πρὸς τἀληθινὸν). ii) A copy is different from that of which it is a copy (ἕτερον). iii) A copy is not itself a true thing (ἀληθινόν) as that of which it is a copy but only that which is like it (ἐοικὸς). iv) It is not really that which really is (ὄντως ὄν) but only really a likeness (εἰκων ὄντως). The conclusion is that: v) A copy in a way (πως) is that means it both is and in not, the product of interweaving being with not being. This leads to the refutation of father Parmenides’ principle, accepting that 'that which is not somehow is (τό τε μὴ ὄν ὡς ἔστι)' and 'that which is, somehow is not (τό ὄν ὡς οὐκ ἔστι) (241d5-7). Besides copies and likenesses (εἰκόνων), we have also imitations (μιμημάτων) and appearances (φαντασμάτων) as the subjects of this new kind of being and thus false belief (241e3). In Timaeus, the world of becoming which cannot correctly be called and thus we have to call it "what is such" (τὸ τοιου̑τον) (49e5) or "what is altogether such" (τὸ διἀ παντὸς τοιου̑τον) (e6-7), consists solely of imitations (μιμημάτα) (50c5) which are identifiable only by the things that they are their imitations. The word τοιου̑τον which had been used to determine the situation of a copy in respect of its original, now becomes the definition of the world of becoming in which everything is an image of another thing, a Being, that stays always the same and is different and separated from its image. Cherniss, in my view rightly, draws attention to the very important point about the ontological status of an image that can at the same time be considered a criticism of the relational theory. What we are being said in Timaeus, he thinks,cannot be explained by saying that an image is not self-related and making its being relational. What is crucial about an image is that it 'stands for something, refers to something, means something and this meaning the image has not independently as its own but only in reference to something else apart from it' (1998, 296). This function finds its best explanation in the theory we are to suggest in the following. 3. πολλαχῶς ἔστι The best way to understand the ontological status of an image in Plato is to see first how his most clever pupil, Aristotle, resolved the same problem that Plato brought his theory of image for its sake. Aristotle’s theory of pollachos legetai is a brilliant and, at the same time, deviated version of Plato’s theory that is able, however, to help us read Plato in a better way. We discuss Aristotle’s theory to reach to a full understanding of Plato’s theory because it is, firstly, constructed in Aristotle in a more clear way and, secondly, it can also be taken as an evidence that our reading of Plato is legitimate. The phrase τὸ ὄν πολλαχῶς λέγεται, a so much repeated phrase in Aristotle’s works, is his resolution for some of the ontological problems of his predecessors all treating being as if it has only one sense. Aristotle is right in his criticism of the philosophical tradition specially Heraclitus, Parmenides and Plato since all did presuppose only one sense for being and his theory is, thus, a creative and revolutionary solution for many problems that all the past philosophers were stuck in. But it is at the same time somehow a borrowed theory. As we will discuss, both the structure of the doctrine and the problems it tries to resolve are the same as Plato’s doctrine (and even is comparable in its phraseology) though it is in Aristotle, as can be expected, a more clear and better structured doctrine. 1) Associated with the theory of pros hen and the theory of substance, the theory of several senses of being provides a structure which, I insist, is the best guide to understand Plato’s theory of Being in Sophist, Timeaus and Republic. a) Although the theory of pollachos legetai is not necessarily based on the theory of pros hen, they become tightly interdependent about being: -/- Being is said in many ways/senses (τὸ δὲ ὄν λέγεται μὲν πολλαχῶς) but by reference to one (πρὸς ἕν) [way/sense] and one kind of nature (μίαν τινὰ φύσιν). (Metaphysics 1003a33-34) -/- The doctrine of pros hen which is Aristotle’s initiative third alternative besides the homonymous and synonymous application of words, is primarily a linguistic theory that tries to provide a new theory to explain the different implementations of the same word. The pros hen implementation of being is to provide an alternative for the theory of the synonymous (in Plato: homonymous) implementation of being which says being is said in one sense (kath hen) (1060b 32-33). That both the pros hen and the kath hen implementation of a word has one thing (hen) as what is common, makes them in opposition to the homonymous implementation which does not consider anything in common. Whereas both pros hen and kath hen assume a common nature, with which all the implementations of the word have some kind of relation, their difference is that while kath hen takes all the implementations of the word as the same with the common nature, pros hen makes them different. Substance is called πρῶτον ὄν because it is said to be primarily: -/- For as is (τὸ ἔστιν) is predicated of all things, not however in the same way (οὐχ ὁμοίως) but of one sort of thing primarily and of others in a secondary way. So too τὸτί ἐστιν belongs simply (ἁπλῶς) to substance but in a limited sense (πῶς) to the others [other categories] (1030a21-23). -/- The word ἁπλῶς standing against κατὰ συμβεβηκός tries to make substance different from the accidents. When we are being said that τὸ ὄν πολλαχῶς λέγεται, it means that only the substance that is simply (ἁπλῶς) the ἕν, the common nature, τὸὄν. When we use the word 'being' about a substance, the being is said differently from when we use 'being' about an accident. The distinction between the substance and the other categories is a distinction between what simply is said to be and what only with reference to (pros) the substance is said to be. The doctrine of pros hen, changing kath hen to pros hen in respect of to on, makes a distinction that wants to show that while there is a kind of implementing the word being that is simply being, there is another kind which is called being only by reference to that which is simply being. In the doctrine of pros hen it is not so that all the things that are said to be are only by reference to a common one thing, but that while one thing is called being because it is that thing itself, the other things are called so without being that thing itself but only by referring to it. At the very beginning of book Γ, it is said that: -/- Being is said in many senses but all refer to one arche. Some things are said to be because they are substances, others because they are affections of substances, others because they are a process towards substances or destructions or privations or qualities of substances … (1003b5-9, cf. 1028a18-20) -/- Substance is what really is said to be and all other things that are said to be are said only in favor of it. This difference of substance from all other senses of being is what is, I believe, primarily aimed in Aristotle’s interrelated theories of pollachos legetai,pros hen and the theory of substance. b) The difference of the implementation of being in the case of substance and the accidents goes so deep that while substance is considered as the real being, the accidents are almost not being. An accident is a mere name (Metaphysics 1026b13-14) and is obviously akin to not being (b21). Aristotle adds that Plato was 'in a sense not wrong' saying that sophists deal with not being (τὸ μὴ ὄν) because the arguments of sophists are, above all, about the accidental (1026b13-16). At the beginning of book , he says about quality and quantity (which look to be more of a being than other accidents) that they are not existent (οὐδ̕ ὄντα ὡς εἰπεῖν) in an unqualified sense (ἁπλῶς) (1069a21-22). The two above-mentioned points, Aristotle’s (a) interwoven theories of pollachos legetai, pros hen and the theory of substance and (b) taking accidents almost as not being, comparedwith substance, brings forth a structure that I shall call Pollachos Legetai (with capital first letters). What is of the highest importance in this structure for me is the difference of substance from accidents and the kind of relation which is settled between them. There is a substance that without any qualification is said to be and the accidents that are said to be only by reference (pros) to it. Adding Aristotle’s point about accidents that they are nearly not being to this relation and difference, we can obviously see how much this structure is close to Plato’s original-copy ontology. We spoke of the relation of being and difference in Plato’s model and the way Plato construes the being of a copy. A copy is a copy only by referring to (pros) a model; it is different from (ἕτερον) that of which it is a copy; it is not itself a true thing as its model and not really that which is (ὄντως ὄν) but only is in a way (πῶς). If we behold the difference of substance and accident in the context of the theory of pollachos legetai and pros hen, we can observe its fundamental similarity with Plato’s original-copy theory in its structure. Allen draws attention to the fact that the relation between Forms and particulars in Plato’s original-copy model is 'something intermediate between univocity and full equivocity' (1998, 70, n. 24) and the same as what Aristotle calls it pros hen (ibid). What made us compare the two structures was not, of course, the complete similarity of two structures (we have to agree with many possible differences of the two theories) but exactly the specific relation between an original and its copy on the one hand, and a substance and its accident on the other hand. As substance and accident do not share a common character and the substance -accident model hints that they stand in a certain relation, there is no common character between the original and copy in Plato’s model as well. Furthermore, their similarity is not confined to their structure only; they are also aimed to solve the same problem. The central point of the theory is that all the predecessors took being in one sense and this was their weakness point. Besides the mentioned above passages about the relation of pollachos legetai and presocratics’, as well as Plato’s, ontology, the relation of the theory with the problem of not being is clear in several passages. In Metaphysics, it is said: 'Being is then said in many senses… It is for this reason that we say even of not being that it is not being' (1003b5-10). Discussing the accidental sense of being, Aristotle points that it is in the accidental way that we say, for example, that not-white is because that of which it is an accident is (1017a18-19, cf. 1069a22-24). We mentioned that he thought Plato was right saying that sophistic deals with not being because sophistic deals with accidental, which is somehow not being (1026b14-16). Plato turned sophistic not-being to what both is and is not and Aristotle to what accidentally is said to be. What helps Aristotle to resolve the problem of not being is his distinction between ἁπλῶς and κατὰ σθμβεβηκός. Aristotle’s "qua" (ᾕ) which is directly linked with his distinction between καθ’ αὑτο λέγεται and κατὰ συμβεβηκός λέγεται, is used to resolve the old problem of coming to be out of not being (Physics 191b4-10). He strictly asserts that his predecessors could not solve the problem because they failed to observe the distinction of "qua itself" from "qua another thing" (b10-13). He then continues: -/- We ourselves are in agreement with them in holding that nothing can be said simply (ἁπλως) to come from not being (μὴὄντος). But nevertheless we maintain that a thing may come to be from not being in an accidental way (κατὰ συμβεβηκός). For from privation which ὅ ἐστι καθ’ αὑτο μὴ ὄν, nothing can become. (Phy. 191b13-16, cf. b19-25) . (shrink)

The concept of universal in Aristotle’s philosophy has several aspects. 1) Universal and plurality Aristotle posits universal (καθόλου) versus particular (καθ᾿ ἕκαστον) each covering a range of elements: some elements are universal while others are particulars. Aristotle defines universal as ‘that which by nature is predicated (κατηγορεῖσθαι) of many subjects’ and particular as ‘that which is not’ so. (OI ., I, 7, 17a38-b1) The plurality of possible subjects of universal is what Aristotle insists on. The inclusion of the notion of (...) ‘plurality’ in the definition of universal might make us expect to have ‘singularity’ in the definition of particular. So, when Aristotle says that universal is that which is naturally predicable of many subjects, we expect him to define the particular as ‘that which is predicable of one subject only.’ Nonetheless, Aristotle does not and indeed cannot define it this way. We cannot find a text in which he defines particular as such simply because particulars are not predicable of any subject unless we regard their predication of themselves a predication, which Aristotle does not, at least in a genuine sense. Thus, he defines a particular only negatively. Hence, the capability of predication of a plurality is indeed the capability of predication itself because the particular cannot be predicated of anything. A particular is that which cannot be predicated of anything (or: of anything else, if saying of a thing of itself is to be considered as predication). It is ‘numerically one’ and what of which the universal is predicated (Met., B, 999b34-1000a1). Those that cannot be predicated of anything, or particulars, are of two kinds: primary substances and individual accidents. Besides Categories we can hardly find a text where Aristotle discusses individual accidents maybe because they are of much less importance for him compared with substances. However, substances are what he mentions repeatedly so that we can confine particulars to substances. In fact, it is substance that Aristotle considers so repeatedly as what cannot be predicated. As the main particulars and individuals, substances are posited as the main things that are not universal. The closeness of the two concepts of ‘substance’ and ‘unpredicability’ is to the extent that he ignores individual accidents and makes these concepts equal and as the opposite of universal: ‘what is not predicated of a subject is said a substance (οὐσία λέγετα τὸ μὴ καθ᾿ ὑποκειμένου) but what is always said of some subject is called a universal.’ (Met., Z, 1038b15-16. cf. Met., B, 1003a7-9) Therefore, since particulars cannot be predicated of any subject and, thus, every predication is necessarily a predication of a plurality of subjects, the inclusion of ‘plurality’ in the definition of universal is either i) in the sense of ‘representation’ or it must be regarded as ii) an unnecessary addition mentioned just for clarification or iii) only for avoiding cases where something is predicated of itself. By the first we mean this: though a substance is not said of anything, it represents some one thing and there is some one thing that is that substance. A universal, on the other hand, can represent a plurality of things. There is, however, a third possibility that has no essential difference with the sense of representation. Aristotle might have ‘arbitrary predication’ in mind when he suses ‘plurality’ in the definition of universal: while a particular can be the arbitrary predicate of just one thing, a universal can be predicated, both really and arbitrarily, of many things. Whatever Aristotle’s intention was, what is important for our investigation is this: Aristotle uses the notion of plurality in the definition of universal in spite of the fact that it is not necessary. What this implies is that this notion is so important for Aristotle that albeit every predictability is a predictability of a possible plurality, he adds the notion of plurality. What makes this notion important, I believe, is that he has something like a class in mind when he defines a universal because the notion of plurality is indistinguishable from a class. 2) Universal and whole; particular and part In Aristotle, the concepts of universal and whole are so close: ‘That which is true of a whole class and is said to hold good as a whole (which implies that it is a kind of whole) is true of a whole in the sense that it contains many things by being predicated of each, and that each and all of them, e.g. man, horse, god, are one because all are living things (τὸ μὲν γὰρ καθόλου καὶ τὸ ὃλως λεγόμενον ὡς πολλὰ περιέχον τῷ κατηγορεῖσθαι καθ’ ἑκάστου καὶ ἓν ἃπαντα εἶναι ὡς ἑκαστον, ...). Phil Corkum points to Aristotle’s distinction between quantitative and integral wholes in Met., 5, 26, 1023b26-33 where a quantitative whole is called homoiomerous, as the sum of animal while an integral whole, e.g. a house, is called heteromerous. He links the notion of homoiomerous to the notion of indivisibility of individuals (in 1b6-9 and 3b10-18) and indivisibility of universals. He believes that in PrA., I, 4, 25b32-26a2 it is the transitivity of mereological containment that is discussed. 3) Universal is common between instances Universal is common (κοινόν) between all the plurality of subjects it can be predicated of because what belongs to more than one thing must be common between them. (Met., Z, 1038b10-12) In the Same way, what is common cannot be a particular and, thus, a substance. (Met., Z, 1040b23-24) An individual or substance is a ‘this’ and a ‘this’ cannot be what common indicates simply because it is here in ‘this’ and can be nowhere else while common must be common between several things. In fact, what can be indicated by a common is indeed a ‘such.’ (Met., B, 1003a7-9) 4) Universal is the same in its instances We have a universal i) in all of its instances and ii) in the same way (ταὐτὸ ἐπὶ πὰντων). (Met, Γ, 1005a9-10) While the first point is evident (otherwise how could it be their universal?), the second point might seem not only ambiguous but the cause of many problems. For Aristotle, therefore, a universal must be ‘one’ in number and not many. This numerically one universal is the very universal for all its instances. It is the same universal that is predicated on each of its instances. This sameness is not, however, a mere homonymous sameness or the sameness of a homonymous word. All these three points, namely oneness, sameness and rejection of mere homonymous sameness are asserted in Aristotle’s own words τι ἕν καὶ τὸ αὐτὸ ἐπὶ πλειόνων μη ὁμώνυμον. (PsA., A, 11, 77a8-9) This non-homonymous unity is asserted also in PsA., A, 24, 85b15-16. 5) Universal as predicate Contrary to substance that cannot be a predicate, universal is what cannot be prevented from being in the place of predicate. Therefore, Aristotle distinguishes universal from subject because while the latter must necessarily be capable of being a predicate, though it might take the position of subject as well, the latter does not necessarily have such a capability especially when it is a this because it cannot be a predicate in such a case: ‘For the subject and universal differ in being or not being a ‘this’; like man and body and soul are the subject of accidents while the accident is something like musical or white.’ (Met., Θ, 1049a27-30) This indicates that a universal is basically different from subject and although it can be posited in the place of subject, it is the position of predicate that is its position as a universal. In Metaphysics, Z, 13, Aristotle asserts that ‘no universal can be substance.’ The same is asserted in Met., I, 1053b16-17 cf. 1060b21. As James H. Lesher points out, Aristotle’s position is that ‘nothing predicated universally is a substance.’ 6) Universal in substance In Met., 10388b8-9 Aristotle says that no universal is a substance. While a universal cannot be a substance in the way essence (to ti en einai) is, it is, Aristotle asserts, ‘in’ it (ἐν τούτῳ δὲ ἐνυπάρχειν) (Met., Ζ, 1038b16-18). Aristotle’s examples are: animal in man and horse. A universal is ‘in’ the thing it is its universal. But in what sense a universal can be in a thing? It cannot be in it as ‘in a subject’, which is denied in Categories for secondary substances. If we check the senses of being in, we can find some other senses of ‘being in’ some of which are compatible with this sense of ‘being in.’ Michael J. Loux believes that contrary to his earlier works like Peri Ideaon and Organon in which the immanence of universals signals a reproduction of the platonic two worlds picture, in his later works like Physics and Metaphysics, when Aristotle tells us that universals are in particulars he means that they are ‘components of or ingredients in sensible particulars.’ In Metaphysics (Δ, 1014b3-9) Aristotle compares elements with universals and call them ‘the most universal things because elements are present either in all or in many things. 7) Logos is of universal Not only universals have logos (Met., Z, 1038b18-19) but ‘Every logos and every science is of universals and not of particulars.’ (Met., K, 1059b25-26) The reason is that they are the same: the logos of the unjiversal ‘circle’ is nothing but ‘being circle’ and the logos of the universal ‘soul’ is ‘being soul.’ (Met., Z, 1035b33-1036a2) The same is said about definition. (Met, Z, 1036a27-29) 8) Universal: in the soul Contrasting individuals, universals are in the soul (So., 3, 5, 417b22-23; cf. PsA., B, 19, 100a6-7). Aristotle also says that the form, i.e. the essence, of the artwork is in the soul. (met., Z, 1032a32-b2) Moreover, as Michael J. Loux points out, ‘the Peri Ideon tells us that we need universals to serve as the objects of noetic acts.’ 9) Universal: not beside individual In spite of the fact that demonstration creates the opinion that demonstrating is based on the existence of universals as existing among the existing things, they do not have existence besides individuals (PsA., A, 24, 85a31-35; Met, Λ, 1071a19-23). Aristotle believes that universals of a P-series (B203, 71) are not παρὰ τὰ εἴδη: 999a6ff. Also check De Anima, II, 3, 414b20-25 10) Primary or commensurate universal Aristotle distinguishes ‘πρῶτον καθόλού’ (PsA., B, 17, 99a33-35) literally meaning ‘primary universal’ but mostly, and truly, translated as commensurate universal. While a universal merely ‘μὴ ἀντιςτρέφει,’ a primary universal ‘ᾧ ἓκαςτον μὲν μὴ ἀντιςτρέφει’ (PsA., B, 17, 99a33-35). Aristotle mentions three conditions for a commensurate universal. It is an attribute that i) belongs to every instance of its subject (without exception!!!), and this belonging is ii) essentially and iii) qua that subject itself (ᾗ αύτό). (PsA., A, 4, 73b26-28) However, he insists that the second and the third conditions are indeed the same. (PsA., A, 4, 73b28-30) The first condition he paraphrases as ‘to belong to any random instance of that subject’ and the second and the third as ‘when the subject is the first thing to which it can be shown to belong.’ (PsA., A, 4, 73b32-74a3) Aristotle’s example is ‘the equality of its angles to two right angles’. This attribute is not a commensurate universal of figure due to the first condition: it cannot be demonstrated of any figure. Nonetheless, though it can be demonstrated of every isosceles because every isosceles has angles equal to two right angles, it is not a commensurate universal of isosceles due to the other conditions: it is not predicated of isosceles qua isosceles but qua triangle. These conditions seem to be like regulators: they organize everything to match to the right group. The method of finding commensurate universal is like test and error method based on elimination: you must eliminate each of the higher or lower universals and check if the attribute remains or not. The commensurate universal is that which remains in between eliminated universals. (cf. PsA., A, 5, 74a37-b4) Brad Inwoodpresents an understanding of commensurate universal that is different from what I have understood and, thus, must be checked: ‘These universals are propositions in which, for example, ‘all A are B’ is true and which are still true universal statements if converted: ‘all B are A’ is also true.’ -/- . (shrink)

Predication is a lingual relation. We have this relation when a term is said (λέγεται) of another term. This simple definition, however, is not Aristotle’s own definition. In fact, he does not define predication but attaches his almost in a new field used word κατηγορεῖσθαι to λέγεται. In a predication, something is said of another thing, or, more simply, we have ‘something of something’ (ἓν καθ᾿ ἑνὸς). (PsA. , A, 22, 83b17-18) Therefore, a relation in which two terms are posited (...) to each other in a way that one is said (predicated) of the other is a predication. The term of which the other term is said is called a subject (ὑποκειμένον) and the other, which is said about the subject, is called the predicate. Thus, in a predication the predicate is predicated of the subject; given that being predicated is almost as the same as being said. The relation between being said and being predicated is so close that ‘if something is said of a subject both its name and its definition are necessarily predicated of the subject.’ (Cat., 5, 2a19-26) This, however, is true only about the second genera and not the accidents. a) Nature of relation in predication What is Aristotle’s theory about the nature of the relation in a predication? How does he fundamentally understand this relation? Phil Corkum distinguishes between predication logic and traditional term logic and argues that the relation between subject and predicate in Aristotle is of the latter kind. While in predicate logic, subjects and predicates have distinct roles, they have the same role in traditional term logic. In predication logic, subjects refer, but predicates characterize. Thereupon, a sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. In traditional term logic, both subjects and predicates refer and a sentences expresses a truth if both name one and the same thing. He concludes that Aristotle ‘problematically conflates prediction and identity claims’ because while he thinks both subjects and predicates refer, he would deny that a sentence is true just in case the subject and the predicate name one and the same thing. Based on this, Corkum believes that Aristotle’s core semantic is not identity but the weaker relation of constitution, which is a mereological interpretation: ‘All men are mortal’ is true just in case the mereological sum of humans is part of the mereological sum of mortals. b) Aristotle’s theory of predication: one or two theories? Frank Lewis finds an inconsistent gap between the theory of predication in the Categories and that in the later books of the Metaphysics VII, 6. So too Joan Kung, Terry Irwin, Daniel Graham. c) Distinction of ‘being said of’ and ‘being in’ Owen enumerates the texts in which Aristotle’s distinction between ‘being said of’ and ‘being in’ is asserted: OI. 11b38-12a17; To., 127b1-4; Cat. 1a20-b9; 2a11-14; 2a27-b6; 2b15-17; 3a7-32; 9b22-24 d) Predication in Aristotle and the standard ‘S is P’ Marie De Rijk Lambertus thinks that the ‘S is P’ pattern is misleading when it comes to express predication in Aristotle. In his view, ‘The Aristotelian procedure should be described in terms of appositively assigning an attribute (κατηγορούμενον) to a substrate (ὑποκείμενον), rather than ascribing a predicate to a subject by means of a copula…. The comment should be considered an attribute which is said to fall to a substrate, without understanding this procedure in terms of sentence predication.’ e) Aristotle’s predication: bipartite or tripartite? It is a difficulty to make Aristotle’s theories of name-verb predication and tripartite predication consistent. The reason is that tripartite is not consistant with his name-verb structure based on which he says that the predicate term is the ‘verb.’ (20a31; 20b1-2; 16a13-5) The problem is that in a tripartite form like ‘Socrates is white’ we cannot take ‘is white’ as the verb because, based on Aristotle himself, no part of a verb can be significant itself. (16b6-7) However, his assertions about the equivalences between the two structures (OI. 12, 21b9-10; PrA. 51b13-16; Met., 1017b22-30) must mean that they are not inconsistent in his own view. Thus, as Allen Bāck points, ‘Aristotle seems to think that he has a single, consistent theory.’ The sense of saying or speaking as the root sense of rhema makes the relation between predication (saying something of something) and verb more interesting. The use of rhema in the sense of a long expression approves this. In Plato’s work (399ac) where Socrates claims that the name anthropos derives from anthron ha opopen (‘he who examines what he has seen’) we have an onoma from, or in place of, a rhema. 1) Subject The subject (ὑποκειμένον) is that of which another term is said or predicated. Aristotle’s own definition is of a much more philosophical value: ‘By subject I mean that which is expressed by an affirmative term (λέγω δὲ ὑποκείμενον τὸ κάταφάσει δηλούμενον).’ (Met., K, 1067b18) Throughout Aristotle’s work, three kinds of subjects can be found: possible, prime and absolute subject. a) Possible subject Those things that can take the position of a subject in a predication we call possible subjects, no matter they can or cannot take the position of predicate in any predication. All terms except the ultimate predicates are possible subjects because they can take the position of subject. b) Prime subject Those that in any predication can only take the position of a subject and not the position of a predicate are prime subjects. (Cat., 5, 3a36-b2; Met., Z, 1028b36-1029a1) This is the truest sense of subject and belongs only to substances. (Met., Z, 1029a1-2) In fact, ‘that which is not predicated of a subject, but of which all else is predicated’ is a substance. (Met., Z, 1029a7-9) In Categories, besides primary substances (Cat., 2, 1b3-6), individual qualities are also said not to be able to be said of anything else. (Cat., 2, 1a23-29) Aristotle’s examples are a certain ‘knowledge-of-grammar’ (τὶς γράμματικὴ) and ‘an individual white’ (τὸ τὶ λευκὸν). Thus, although substances are indeed in the truest sense individuals and, thereby, in the truest sense primary subjects, other individuals can take the position of subject as well. c) Absolute subject While substances are prime subjects of all other things, there is still something of which substances can be predicated and this predication is not an accidental predication: matter. (Met., Z, 1029a21-24) This predication is, indeed, the predication of a ‘form or this’ on matter and material substance. (Met., Θ, 1049a34-36) The only thing that is absolutely a subject, therefore, and can be a predicate is prime matter (πρώτη ὓλη). (Met., Θ, 1049a24-27) d) Subject and substance The most important thing in being a substance is being a subject: ‘It is because the primary substances are subjects for all the other things and all the other things are predicated of them or are in them, that they are called substances most of all.’ (Cat., 5, 2b15-17) And what is nearer to this position is more a substance as a species is more a substance than a genus.’ (Cat., 5, 2b7-8) e) Primary versus accidental subject A subject is a primary subject in a predication when the predicate is predicated of it as itself. In such a case, the subject is the subject of the predicate qua itself and not qua something else. A subject, on the one hand, is an accidental subject when it is not the primary subject of the predicate that is predicated on it. It means that a subject is an accidental subject when the predicate is predicated of it not qua itself but qua something else. An accidental subject is, therefore, anything other than a substance. 2) Predicate as universal It is evident from our discussion of kinds of subjects that except matter, primary substances (if we ignore both accidental predication and cases of absolute subjects) and other individuals, everything else can take the position of a predicate. Since primary substances are individuals, it results that everything except matter and individuals are capable to take the position of predicate. The immediate consequence of this is that the predicate must be a universal. When individuals cannot take the position of predicate, this position cannot be taken by any particular. Therefore, only universals can be predicated of others. Moreover, albeit universals can be a simple subject (for another universal), they are not prime subjects. The closeness of universal and predicate is to the extent that Aristotle differentiates universal from subject. (Met., Θ, 1049a27-30) 3) Categories or classes of predicates Aristotle distinguishes ten highest classes into one of which each predicate must necessarily fall: substance (or what a thing is), quality, quantity, relation, place, time, position, state, activity and passivity. (Cat., 4, 1b25-27; To., I, 9, 103b20- ; PsA., A, 22, 83b13-23) The substance counted among predicates must refer to secondary and not primary substances not only because Aristotle insists that primary substances cannot be predicated but also from his own examples of the category of substance: man and animal. (To., I, 9, 103b25) However, if a predicate be asserted of itself or its genus be asserted of it, the predicate signifies substance or what is; but if ‘one kind of predicate is asserted of another kind,’ it signifies one of the other nines. (To., I, 9, 103b30) These categories are so comprehensive that no predicate can remain outside them so that even non-being has as many senses as categories. (Met., M, 1089a26-30) a) That whether Aristotle’s categories are merely linguistic or fundamentally ontological is a so much controversial dispute. Some like G. E. R. Lloyd believe that ‘categories are primarily intended as a classification of reality … rather than of the signifying terms themselves.’ b) Although Aristotle’s categories have been historically regarded as a classification of predications, there are some recent commentators like Jonathan Barnes that think it is classifying predicates and not predications. 4) Kinds of predicates In his introduction of Categories, as J. W. Thorp truly points out , Aristotle distinguishes between the category of substance and the other categories using μὲν ... δὲ construction. This construction illustrates that beside tenfold classification of categories, there is an even more crucial differentiation between two kinds of predicates: substance or what is on the one hand and the other nine ones on the other hand: the distinction between what is predicated of the subject as what it is and what is predicated of it as an accident. Therefore, we have three kinds of classification - a twofold, a fourfold and a tenfold-complicatedly classifying the same thing, viz. the predicate. Predicates can be divided also to four kinds: property, definition, genus and accident. (To., I, 4, 101b11-20) A property is that predicate that is convertible with its subject and does not signify its essence. A definition is that predicate that is convertible with its subject and signifies its essence. It is a genus if it is not predicated convertibly and is contained in the definition of its subject. And it is an accident if it is neither convertible nor contained in the definition of its subject. (To., I, 8, ^103b3) All of these four kinds are among categories. (To., I, 9, 103b20) It seems that there might be some kind of relation between the twofold and the fourfold distinction: whereas genus and definition are predicated as what it is, accidents are not so predicated. There seems to be some rules that determine to each of these four kinds each predicate belongs. At To., IV, 123b30ff. Aristotle asserts: ‘If B has a contrary and A does not, then B does not belong to A as its genus.’ There is a dispute around per se accidents (τὰ καθ’ αὑτὰ συμβεβηκότα) (Topics., 102a18) whether they must be regarded as either of the four kinds or as a fifth kind. Barnes (1970) argued that they ‘do not fit at all neatly into the fourfold classification.’ He argues that based on the definition of accidents at A, 5, 102b4-5, they must be accidents but based on another definition, A, 5, 102b6-7, they cannot be accidents. He also defends the view that they are not properties. Barnes concludes: ‘This shows that the two definitions are not equivalent, and hence that the ‘predicables’ are not well-defined.’ Demetris J. Hadgopoulos defends the view that the two definitions of accidents are equivalent and per se accidents are properties. 5) Five types of predications We have five kinds of predications based on our division of subjects and our discussion of predicates: simple, primary (itself divided to substantial and accident), accidental (itself divided to primary and secondary), aoincidental and absolute predication. a) Simple predication. This is a predication in which a universal is predicated of either a particular or a universal subject. This sense of predication includes all other senses except the first kind of accidental predication. b) Primary predication. This is a predication in which a universal is predicated of a primary subject, namely a substance. A primary predication is of two kinds: i) Substantial predication. A primary predication in which the predicate is part of, or is included in, the definition of the subject. The universal that is the predicate here is the definition or the genus or the species or the diferentia of the subject. It is this predication that Aristotle calls a unity: ‘A statement may be called a unity … because it exhibits a single predicate as inhering not accidentally in a single subject.’ (PsA., B, 10, 93b35-37) It is only substantial predicates that can be predicated of each other: ‘Predicates which are not substantial are not predicated of one another.’ (PsA., A, 22, 83b18-19) Aristotle defines a substantial predication also in another way. A predication in which a higher genus is predicated on a lower genus, species, a substance or an individual, (or a species is predicated on an individual) is a substantial predication. Therefore, a substantial predication is a predication in a series that has individuals on one of its ends and a general category on its other end. In fact, only substantial predicates can be predicated of one another. (PsA., A, 22, 83b17-19) This series cannot be an infinite series because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) -/- ii) Accident predication. A primary predication in which the predicate is not part of, or is not included in, the definition of its subject. The universal that is the predicate here is the property or the accident of the subject. c) Accidental predication. This is a predication in which the subject is not a primary subject and its predicate is a substance. This predication is of two kinds: i) Primary accidental predication. This is a predication in which an accident is predicated of substance. Such a predication can go ad infinitum, which is inferable from Aristotle’s assertion that the secondary accidental predication cannot go ad infinitum. ii) Secondary accidental predication. It is a predication in which an accident is predicated of another accident. Such a predication, Aristotle asserts, cannot go ad infinitum because even more than two accidents cannot be combined. Now what is the meaning of Aristotle’s assertion that we cannot continue this ad infinitum? Does it mean that we cannot continue the predication ‘The musician is white’ and say ‘The white is Athenian?’ But why not? Or maybe he means that by adding any predication, we are still in a condition of predicating two accidents of a substance on each other. -/- As primary subjects, substances can also take the position of predicate though not essentially but accidentally. In propositions like ‘the white is a log’ or ‘That big thing is a log’ we observe substance taking the position of predicate but this is only accidentally: ‘When I affirm ‘the white is a log,’ I mean that something which happens to be white is a log- not that white is the subject in which log inheres (οὐχ ὡς τὸ ὑποκείμενον τῷ ξύλῳ τὸ λευκόν ἐστι), for it was not qua white or qua a species of white that the white (thing) came to be a log (οὔτε λευκὸν ὄν οὔθ᾿ ὃπερ λευκόν τι ἐγἐνετο ξύλον), and the white (thing) is consequently not a log except incidentally.’ (PsA., 22, 83a3-9) Aristotle compares this accidental use of substance in the position of predicate with the substantial use of it in the place of a subject: ‘On the other hand, when I affirm ‘the log is white,’ I do not mean that something else, which happens to be a log, is white (οὐχ ὃτι ἓτερόν τί ἐστι λευκόν, ἐκείνῳ δὲ συμβέβηκε ξύλῳ εἶναι), (as I should if I said ‘the musician is white,’ which would mean ‘The man who happens also to be a musician is white’); on the contrary, log is here the subject- the subject which actually came to be white, and did so qua wood or qua a species of wood and qua nothing else.’ (PsA., 22, 83a8-14) Aristotle asks us not to call propositions like ‘The white is a log’ a predication at all or at least call them accidental predication instead of simple (ἁπλως) predication. (PsA., A, 22, 83a14-17) An accidental predication, in which we have a substance in the place of predicate, is different from an essential predication in that while the subject of an accidental predication is said to be the predicate not by itself but as something different with which it coincides, the subject of an essential predicate is said to be the predicate by itself and not because it is something else: ‘Since there are attributes which are predicated of a subject essentially and not accidentally- not, that is, in the sense in which we say ‘That white (thing) is a man,’ which is not the same mode of predication as when we say ‘The man is white’: the man is white not because he is something else but because he is man, but the white is man because ‘being white’ coincides with ‘humanity’ within one subject. Therefore, there are terms such as are essentially subjects of predicates. (PsA., A, 19, 81a24-29) This capability of ‘non-essentially and only accidentally’ being a subject does belong, in fact, to all sensible things. (PsA., A, 27a32-36) d) Coincidental predication. this is a predication in which none of the subject and predicate are a substance or an individual. In this predication, one of the accidents of a substance or individual is predicated of one of the other accidentals of the same substance or individual. For example, when it is said that ‘The white is musical,’ there is an individual, say Socrates, for which both of white and musical are accidents. e) Absolute predication. This is a predication in which a form or a substance is predicated of a matter or a material substance. Some commentators like Loux and Lewis regarded this predication as close to accident predication, both based on inherence. As R.M. Dancy points out, these predications make Aristotle’s theory of predication immanentist: not only accident predications are explained by the immanence of accidents in substances, some of the substantial predications, which were not explained in Categories, are also explained by the immanence of form in matter. It is interesting that in this kind of predication, it is the predicate and not the subject, which is in the strictest sense substance. As the central books of Metaphysics claim, the form is the substance. Thus, in this predication, substance gets away from the sense of ὑποκείμενον. Corkum mentiones 68a19 as the only instance where Aristotle explicitly claims that a term may be predicated of itself, a passage that is, in Corkum’s view, problematic. 6) Demonstrable predicates Those predicates are demonstrable that are so related to their subjects that there are other predicates prior to them predicable of their subjects (ἔτι δ᾿ ἄλλος, εἰ ὧν πρότερα ἄττα κατηγορεῖται). (PsA., A, 22, 83b32-34) 7) Series of predications Since it is possible for a predicate to be itself the subject of another predication, we can have a series of predications in which the predicate of a predication is the subject of the next predication. This series has the following features: a) It has a limit (in number) (PsA., A, 22, 83b14-16) on the side of subjects: there are subjects that cannot themselves be predicated (PsA., A, 27, 43a39-41), which are, as we noted, prime subjects: particulars, i.e. prime substances and other individuals. (PsA., A, 19-22) Aristotle calls them ultimate (ὓστατον). (PsA., 21, 82a36-b1) b) It has a limit (in number of kinds) (PsA., A, 22, 83b14-16) also on the side of predicates: there must be predicates that cannot be subjects. (PsA., A, 19-22; PsA., A, 27, 43a36-39) Aristotle calls them primary (πρῶτον). (PsA., A, 21, 82b1-4) These are the highest categories or the highest genera of categories. (PsA., A, 22, 83b14-16) c) The series has an escalating shape from mere subjects at its downside to mere predicates at its upside. It is Aristotle himself whos uses the words up and down in this sense. (e.g. PsA., A, 22, 83b2-3) d) The predications that lie between lowest and highest ones must be finite in number. (PsA., A, 19-22 especially: 20, 82a21-35) These have subjects and predicates, each capable of both of the roles of being subject and being predicated. A result of this fitness is that neither demonstration can go to infinity nor everything is demonstrable, the two points Aristotle always insist on. e) The upward side includes the more universal ones and the downward the more particular ones. (PsA., 20, 82a21-23) f) It follows from the above features that ‘neither the ascending nor the descending series of predications … are infinite.’ (PsA., A, 22, 83b24-25) g) Reciprocation and convertibility. Except in case of terms (i.e. subjects and predicates) that are at each of the ends of series of predications, namely ultimates and primaries, it is possible to reciprocate (ἀντιστρέφειν) terms and convert the predication. (PsA., A, 19, 82a15-20) h) Antipredication. Antipredication means that in a predication (S is P), the subject becomes the predicate of its predicate (P is S) in the same category its predicate was predicated on it. For example, if P is in the category of quality, antipredication means that S be predicated of P in the category of quality. In other words, P is a quality of S and S is a quality of P. Aristotle rejects this. (PsA., A, 22, 83a36-b3) i) Self-predication versus other-predication. Aristotle distinguishes between a predication in which a term is said of itself and a predication in which a term is said of another. (Phy., Δ, 2, 209a31-33) j) Predicablity (Cat., 5, 3a36-b2): 1) Primary substances and individuals are not predicable. 2) Secondary substances are of two kinds: genus and species i) Genus is predicable able both of the species and of the individuals. ii) Species is predicable of the individual. 3) Differentiae are predicable both of the species and of the individuals. 8) Predication as classification a) Richard Patterson believes that Aristotle’s so repeated construction using hoper (estin A hoper B) in Topics (120a23 sq., 122b19, 26sq., 123a, 124a18, 125a29, 126a21, 128a35. Also in Posterior Analytics (83a24-30) (Brunschwig’s list. ‘expresses the fact that A is a kind of B (esti A B tis), that A is a species of the genus B.’ 9) Universal predication Aristotle defines universal predication (κατὰ παντὸς κατηγορεῖσθαι) as such: ‘wherever no instance of the subject (τῶν τοῦ ὑποκειμέμνου) can be found of which the other term cannot be asserted.’ (PrA., A, 24b27-29) In this predication, the subject is included in another as in a whole (ἐν ὃλῳ εἶναι) and the predicate is predicated of all of the subject (κατὰ παντὸς κατηγορεῖσθαι). (PrA., A, 24b26-27) Attach another discussion we had about ἐν ὃλῳ here. 10) Quantity of predication A predication, truly stated, has a quantity, which is the number of objects under the name of the subject of which the predicate is predicated. The quantity of subject can be stated in four ways: a. Indefinite: when the predicate belongs or does not belong to the subject without any mark to show to haw many of the particulars under the name of the subject it does or does not belong. E.g. ‘Man is white’; ‘Man is not white.’ (PrA., A, 24a20; OI., I, 7, 17b8-12) b. Universal quantity: When the predicate belongs to all or none of the subject. E.g. ‘Every man is animal’; ‘No man is animal.’ (PrA., A, 24a18-19; OI., I, 7, 17b5-6) The contrary of a predication of a universal quality is a predication of a universal quality. E.g. the contrary of ‘Every man is white’ is ‘No man is white.’ (OI., I, 7, 17b20-23) c. Particular quantity: When the predicate belongs (or does not belong) to some of the subject. E.g. ‘Some men are white’; ‘Some men are not white.’ (PrA., A, 24a19-20) d. Single quantity: when the subject is a proper name of only one object. E.g. ‘Socrates is white’; ‘Socrates is not white.’ The contrary of this predication is of a single quantity: ‘Socrates is not white.’ (OI., I, 7, 17b38-18a4) 11) Convertibility of predication. Some predications are convertible, that is, it is possible to change the place of subject and predicate in a true proposition so that the converted proposition remains true. This is supposed to mean that given the truth of a predication, the truth of the converted predication is inferable. The convert form of a predication depends on its quantity. a. Indefinite quantity: This predication has no strictly true convert because its quantity is not stated. b. Universal quantity: It can be converted in two ways: i) A negative universal can be converted to a negative universal in which the terms are changed. E.g. ‘No pleasure is good’ can be converted to ‘No good is pleasure.’ (PrA., A, 2, 25a5-8 and a14-19) ii) An affirmative universal can be converted to an affirmative particular in which the terms are changed. E.g. ‘Every pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a7-9) c. Particular quantity: If it is negative, it cannot be converted but if it is affirmative, it can be converted to an affirmative predication with particular quantity. E.g. ‘Some pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a10-13 and a20-24) d. Single quantity: It cannot be converted. 12) Characteristics of relations between subject and predicate 1. A predicate is of a wider range than its subject. It is based on this fact that Aristotle: a) Prevents individuals to be predicate because there is nothing of which an individual be of a wider range. In other words, it is due to the fact that since an individual is only ‘one particular’ thing and, thus, cannot be of a wider extent than anything that Aristotle prevents them of being a predicate. Matthews, however, thinks we cannot use Socrates, a substance and an individual, in the place of predicate and say it of Socrates because ‘Socrates does not classify Socrates: it names him.’ b) Prevents differentia, species and things under species to be predicated of genus. (To., Z, 6, 144a27-) c) Prevents the species and the things under it to be predicated of the differentia. (To., Z, 6, 144b1-4) d) Also about the effect because it is wider than its subject. (PsA., B, 17, 99a) e) Each attribute is wider than every individual it is predicated on, though several attributes, collectively considered, might not be wider but exactly the substance of a thing. (PsA., B, 13, 96a32-b1) 2. The predicate of a predicate of a subject will be predicated of the subject too: ‘whenever one thing is predicated of another as of a subject, all things said of what is predicated will be said of the subject too.’ (Cat., 3, 1b10-15) In fact, it is due to its predication of the subject that it is predicated of its predicate. (Cat., 5, 2a36-b1) Moreover, what is not predicated of the predicate of a subject cannot be predicated of it as well. (PrA., A, 27, 43b22-27) Thus, what, for example, is not predicated of animal, cannot be predicated of man. 3. The predicate of a subject can be predicated of its predicates as well. (Cat., 5, 3a1-6) For example, you call the individual man grammatical and, thence, you call both a man and an animal grammatical. Nonetheless, the predicate of a subject belongs to it more properly than to its higher predicates. (PrA., A, 27, 43a27-32) 4. It is only the subject that can be distributed and not the predicate. (PrA., A, 27, 43b16-22; OI, I, 7, 17b12-16) Therefore, we can say e.g. ‘Every man is animal’ but we cannot say ‘Every man is every animal.’ 5. It is the reason of the relation between subjects and predicates, that is the reason of predication, which is the subject of inquiry. (Met., Z, 1041a20-24) In other words, since it is a meaningless inquiry to ask why a thing is itself (Met., Z, 1041a14-15), the only remaining meaningful inquiry is to ask why something is something else, i.e. to ask about the reason of predication. 6. A subject cannot categorize its predicate in the same category in which it is categorized by it. If e.g. A is a quality of B, B cannot be a quality of A. Therefore, there is no reciprocation in the same category. (PsA., A, 22, 83a36-39) 13) Characteristics of series of predications 1. A series of secondary accidental predication cannot go ad infinitum for not even more than two terms can be comnbined. For an accident is not an accident of an accident, unless it be because both are accidents of the same subject. (Met., Γ, 1007b1-4) 2. Infinite series cannot be traversed in thought. (PsA., A, 22, 83b6-7) 3. The predications of genera on each other must be ended and cannot go to infinity because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) Therefore, a series of predication of genera on each other must be limited on both sides. There must be an upward limit in general categories as well as a downward limit in individual because they cannot be predicated of others. Whatever lies between these limits can both be predicated of others and others be predicated of them. (PrA., A, 27, 43a36-43) 4. The order of predicates matters: it makes a difference whether the series be ABC or BAC. (PsA., B, 13, 96b25-32) . (shrink)

We have a basic definition of genus in Topics (I, 5, 102a31-35): ‘A genus is what is predicated in what a thing is of a number of things exhibiting differences in kind. We should treat as predicate in what a thing is all such things as it would be appropriate to mention in reply to the question “what is the object in question?”; as, for example, in the case of man, if asked that question, it is appropriate to say “He (...) is an animal.”’ He indicates that ‘of the common predicates that which is most definitely predicated in what the thing is, is likely to be the genus.’ (To. , I, 18, ^108b22) From this definition, what is demonstrative in the definition of genus, Aristotle asserts, is ‘what is common to all the cases.’ (To., I, 18, ^108b22) This common thing is ‘one identical thing which is predicated of both and is differentiated in no merely accidental way.’ (Met., I, 1057b37) This means that the things in which the genus is common must be essentially different. In fact, this very common genus must be essentially different in the things it is their genus. Therefore, things that are identical in a genus are at the same time different in that very genus. This means that though the genus is the same in them, it is indeed different in them and they are not the same as each other in that very same genus but specifically different from each other: ‘For not only must the common nature attach to the different things, e.g. not only must both be animals, but this very animal must also be different for each (e.g. in the one case horse, in the other man), and therefore this common nature is specifically different for the two things (διὰ τοῦτο τὸ κοινὸν ἓτερον ἀλλήλων ἐστι τῷ εἴδει). One then will be in virtue of its own nature one sort of animal, and the other another, e.g. one a horse and the other a man. This difference then must be an otherness of the genus. For I give the name of ‘difference in the genus’ to an otherness which makes the genus itself other.’ A. Characteristics of genera The following are the characteristics of genera: 1. Those to which the same figure of predication applies are one in genus. (Met. , Δ, 1016b32-35) 2. Things that are one in genus are all one by analogy while things that are one by analogy are not all one in genus. (Met, Δ, 1016b35-1017a3) 3. A genus includes contraries. (Met., Δ, 1018a25-31) 4. All the intermediates are in the same genus as one another and as the things they stand between. (Met., I, 1057a18-30; 1057b31-34) 5. Not every predicate is a genus of what it is predicated on; for this would equate a genus with one of its own species. (PsA., A, 22, 83b7-10) 6. The opposite of the genus should always be the genus of the opposite. (To., Δ, 4, ^125a27-29) 7. A genus divides the object from other things. (To., Z, 3, 140a^24) 8. None of unity and being is a genus. (Met., B, 998b22-27; Met., K, 1059b31-34; PsA., B, 7, 92b12-14) 9. There is no necessity or even no possibility that things that are the same specifically or generically should be numerically the same. (To., H, I, 152b30-) 10. To be called one due to having one genus is in a way similar to be one due to having the same matter. (Met., Δ, 1016a24-28) 11. The substance of a thing involves its genus, and thereby all the higher genera are predicated of the lower. (To., Z, 5, 143a^20- ) 12. Being falls immediately into genera. (Met., Γ, 1004a4-6) 13. They do not exist apart from the individuals. (Met., B, 999a29-32; Met., I, 1053b21-22) 14. A genus is not a simple qualification but marks off the qualification of substance. (Cat., 5, 3b18-21) 15. Genera are criteria of difference when ‘the things have not their matter in common and are not generated out of each other.’ (Met., I, 1054b27-31) 16. The genus of a thing is its matter (ὓλη). (Met., I, 1058a23-25) 17. A genus is applicable to a wider range than its species. (Cat., 5, 3b21-23) 18. A genus is prior to its species in existence: while a genus reciprocates on the existence of its species, they do not reciprocate on the existence of their genus. (Cat., 13, 15a3- ) Aristotle’s example is this: if there is a fish there is an animal, but if there is an animal, there is not necessarily a fish. 19. The genus of a thing expresses ‘what it is’ and its essence. (To., I, 5, 102a31- ; To., Z, 5, 143a^20- ) 20. A genus is most familiar than its differentia and may be them all. (To., Z, 9, 149a16) 21. The genus is more substantial than its species. (Met., H, 1042a13-16) 22. One, being and substance cannot be classes. (Met., I, 1053b21-24; cf. 1054a8-11) 23. Aristotle draws a distinction between a simple and a composite concept in their falling within a genus. While a simple one can, a composite one cannot. He discusses this between ‘justice’ and ‘just man’: ‘the former falls within the genus, whereas the other does not … for nothing which does not happen to belong to the genus is essentially the genus; e.g. a white man is not essentially a color.’ (To., Γ, 1, ^116a24) 1) Genus and universal ‘Genera are universals’ (Met., Λ, 1069a26-27; Δ, 1014b9-10) and more universal than differentia and species (Met., Δ, 1014b9-12), but it is evident that not all universals are genera. (Met., A, 992b10-13) 2) Co-ordinate species The species resulting from the same division are co-ordinate species. They are the results of the same division in the same genus. Thus, none of them is prior or posterior to others but they are simultaneous by nature. (Cat., 13, 14b33-15a3) 3) Priority of genus to species Aristotle defines prior (λοιπόν) based on reciprocation as to implication of existence: ‘Τhat from which the implication of existence does not hold reciprocally is thought to be prior.’ (Cat., 12, 14a32-34) His examples are genera and species: ‘genera are always prior to species since they do not reciprocate as to implication of existence.’ (Cat., 13, 15a4-6) Τhus, if there is a fish, there is an animal, but if there is an animal, there is not necessarily a fish. 4) Generic versus non-generic attributes As the above discussions illustrates, not all attributes can be genera of their subjects. Thus, we ought to distinguish between generic and non-generic attributes of each subject. K. J. Spalding distinguishes between substantive and classificatory attributes, a distinction that, he believes, is absent from the Aristotelian logic. Classificatory attributes are those that originate and exist in class alone, and are generic like ‘human’ and ‘animal.’ These attributes do not belong to the individual as individual. For example, animal belongs to the Socrates not as Socrates but as man. Substantive attributes, on the other hand, are those that belong to Socrates as Socrates and not as a class. Attributes like sense attributes that originate independently of generic structure and ‘do not involve a necessary relation to or dependence on a class’ are substantive attributes. (shrink)

A. Accident 1. We call an accident (συμβεβηκὸς) that which attaches to something and can be truly asserted, but neither of necessity nor usually.’ (Met. , Δ, 1025a14-16) 2. Whenever an accident attaches to a subject, it attaches to it not because it is that subject (μὴ διότι τοδὶ ἧν). (Met., Δ, 1025a21-24) 3. ‘There is no definite cause for an accident, but a chance cause, i.e. an indefinite one.’ (Met., Δ, 1025a24-25) 4. ‘The accident has happened or exists, -not (...) in virtue of itself, however, but of something else. (Met., Δ, 1025a28-29) 5. ‘What attaches to each thing in virtue of itself but is not in its substance is an accident.’ (Met., Δ, 1025a30-32) 6. ‘An accident is something which, though it is … neither a definition nor a property nor a genus, yet belongs to the thing.’ (To., I, 5, 102b4-) 7. An accident is ‘something which may either belong or not belong to any one and the self-same thing, as (e.g.) being seated may belong or not belong to some self-same thing.’ (To., I, 5, 102b4-) 8. ‘There is nothing to prevent an accident from becoming a temporary or relative property … [and] there is nothing to prevent an accident from becoming both a relative and a temporary property; but a property absolutely it will never be.’ Aristotle’s example is ‘being seated.’ That it is a temporary property is evident. It is also a relative property to those who are not seating when he is the only person sitting. Therefore, it is a temporary and also a relative property. 9. ‘In the case of accidents and in no other it is possible for something to be true in a certain respect and not universally’ and ‘there is nothing to prevent an attribute belonging in part’ so that it is open to dispute accidents e.g. being white or just about a man because he might be white or just in part only. Thus, ‘conversion is not a necessary process in the case of accidents.’ (To., B, 1, 109a9-) B. Essential versus accidental Aristotle distinguishes between two senses of being (τὸ ὄν): accidental sense (κατὰ συμβεβηκός) and essential sense (καθ᾿ αὑτό). The accidental sense happens when something is said to be another thing while there is in fact a third thing which is both of them. Thus, being the first thing is not by itself the second thing. a) Aristotle speaks of three ways in which one thing is said in an accidental sense to be another. (Met., Δ, 1017a8-22) i) When both the subject and the predicate are accidents of a third thing and it is in fact the third thing which ‘is’ by its own. Thus, when it is said e.g. that ‘The just is musical’ it is said accidentally because it is in fact a third thing, Socrates for example, which is just and musical. (Met., Δ, 1017a13-19) ii) When that to which the attribute belongs is. The example of this must be ‘the man is musical’ because it is in fact the man which is. iii) When the subject which has as an attribute that of which it is itself predicated, itself is. The example of this must be Aristotle’s third example: ‘The musical is man.’ b) Aristotle rejects the essential sense to categories: ‘Those things are said in their own right to be that are indicated by the figures of predication; for the senses of ‘being’ are just as many as these figures.’ (Met., Δ, 1017a22-24) Aristotle does not give us any example of the essential sense. Daniel W. Graham suggests that while essential predication is of the logical form of ‘S is P,’ the logical form of the accidental predication is ‘S has P.’ Although he concedes that the is/has contrast is not Aristotle’s, for which he thinks Aristotle prefers ‘said of’/’in’ terminology, he points to the discussion of ‘have’ in Cat. 15 as an evidence of its potential value for an analysis of predication. Kirwan analyses the distinction of essential and accidental predicate as such: while essential predicates ‘are identical with the subjects of which they are predicated; other predications are true in virtue of the fact that two distinct items, e.g. a substance and a quality, ‘coincide.’ Herman Weidemann believes ‘what divides a predicative statement which predicates essentially from a predicative statement which predicates accidentally is the fact that the former does- whereas the latter does not- answer the question what its subject cannot fail to be without ceasing to exist, as the somewhat its subject goes on existing, no matter what happens to be true of it during its existence, or, what kind of things its subject must be in order to be identifiable as one and the same object as long as it exists.’ C. Essential 1. Either the formula or the name of the subject of an essential attribute is involved in it. For example, animal is involved in female but not in white. (Met., Z, 1030b23-26) 2. Essential attributes, combined together, form a unity. Thus, e.g. animal and biped form a unity because they are both essential of man. (OI., II, 11, 21a14-16) 3. Aristotle distinguishes between two kinds of essential attributes (PsA., A, 4, 73a34-b3; 22, 84a12-17): a) Those attributes that belong to their subject as elements in its essential nature as e.g. line belongs to triangle or point to line. Here the very being of triangle is composed of line or that of line is composed of points: line is contained in the formula of triangle and point in that of line. b) Those attributes whose subjects are contained in their own defining formula as e.g. straight is an essential attribute of line because line is part of the defining formula of straight or odd belongs to number because number is part of the defining formula of odd. Every attribute that is related in neither of these two ways to its subject, it is not an essential but an accidental attribute. (PsA., A, 4, 73b3-5) 4. That attribute which is not predicated of a subject other than itself is an essential attribute. A substance cannot be predicated of anything but itself and is, thus, essential. (PsA., A, 4, 73b5-10) 5. A thing consequently co-stated with anything is essential. For example, if a beast dies when its throat is being cut, its death is also essentially connected with the cutting because the cutting was the cause of death, not death a coincidence of cutting. (PsA., A, 4, 73b10-15) 6. Essential attributes in both of this sense, either in the sense that their subjects are contained in them or in the sense that they are contained in their subjects, are necessary as well as consequently co-stated with their subjects. The reason is that it is impossible for them to inhere in their subjects either simply or in the qualified sense (that one or other of a pair of opposites must inhere in the subject as e.g. one of straight or curve must be necessarily predicable of a line or one of odd or even of number). (PsA., A, 4, 73b16-21; 6, 74b5-12; B, 96b1-5) 7. Only those attributes that are within a genus are essential and possessed by their respective subjects as such and, thus, are necessary. Thereupon, both the conclusion and the premises of demonstrations which produce scientific knowledge are essential. (PsA., A, 6, 75a28-31) Therefore, ‘the extreme and the middle terms must be drawn from the same genus; otherwise, as predicated, they will not be essential and will thus be accidents.’ (PsA., A, 6, 75b10-12) Also, the theorems of a science can be demonstrated by means of another science only when they are related as subordinate to superior. (PsA., A, 6, 75b13-) 8. Our knowledge of the connexion of an attribute with a subject is essential only when ‘we know that connexion through the middle term in virtue of which it inheres (καθ᾿ὃ ὑπἀρχει), and as an inference from basic premises essential and ‘appropriate’ to the subject.’ The essential belonging of the middle to the minor has a necessary connexion with its belonging to the same genus of the major and minor: ‘If that middle term also belongs essentially to the minor, the middle must belong to the same genus as the major and minor terms (ἀνάγκη τὸ μέσον ἐν τῇ αὐτῇ συγγενείᾳ εἶναι). (PsA., A, 9, 76a4-9) 9. In an essential predication, the predicate is signified of a subject identical with itself or with a species of itself. Since only predicates which signify substance signify that the subject is identical with the predicate or with a species of the predicate, predicates signifying substance are essentially predicated and any other predicate is accidental or coincidental. Thus, while animal is essentially predicated of man because man is identical with a species of animal, white is accidentally predicated of man because man is neither identical with white nor a species of it. (PsA., A, 22, 83a24-32) Weidemann discusses the confusion between essential predications and statements of identity. He warns that the expression ‘(to be) just what a man is’ (analogous to the Greek phrase ‘(εἶναι) ὃπερ ἀνθρώπον) ought not to be confused with the expression ‘just what it is for a man to be,’ which renders the phrase τὸ ὃπερ ἀνθρώπῳ εἶναι’ (1007a22, 23, 27-28); a confusion Kirwan discusses. 10. ‘Demonstration proves the inherence of essential attributes in things.’ (PsA., A, 22, 84a11-12) 11. ‘Nothing which does not happen to belong to the genus is essentially the genus; e.g. a white man is not essentially a color.’ Thus, while justice falls within the genus, a just man does not. (To., Γ, 1, ^116a24-) 12. There is no syllogism of essence (ti esti). Nevertheless, we come to know ti esti through a demonstration. (93b15-20; cf. 93b25-28) D. Accidental 1. An accidental attribute cannot be predicated of a subject universally. Thus, we cannot say ‘Every man is musical.’ The reason is that ‘universal attributes belong to things in virtue of their nature.’ Therefore, accidental predicates are predicated only of the individuals. (Met., Δ, 1017b33-1018a2) 2. An accidental is a mere name. (Met., E, 1026b13-) 3. An accidental is obviously akin to non-being. (Met., E, 1026b21) 4. ‘That which is neither always nor for the most part we call accidental.’ (Met., E, 1026b27-33) 5. The matter (ὕλη) is the cause of the accidental because it is matter which is capable of being otherwise than as it for the most part is. (Met., E, 1027a13-16) In fact, there is cause or principle of the incidental of the same kind as there are of the essential because if there were, everything would be of necessity. (Met., K, 1065a6-8) The causes of accidental are unordered and indefinite. (Met., K, 1065a25-26) 6. Since all science is either of that which is always or of that which is for the most part, there is no science of the accidental. (Met., E, 1027a19-24; K, 1064b30-1065a6) Therefore, since an accident may also not inhere and, thus, it is impossible to prove its inherence as a necessary conclusion, there is no demonstrative knowledge of accidents. (PsA., A, 6, 75a18-23) 7. The accidental is not necessary but indeterminate. (Met., K, 1065a24-26) 8. The co-positing of a subject and a predicate which are accidental either to the same subject or to one another, whiteness and being musical for instance, does not form a unity. (OI, II, 11, 21a7-14) 9. Negative predicates, i.e. predicates including a ‘not,’ are accidental predicates. Thus, if good be an essential predicate of a subject, ‘not bad’ cannot be essential but is accidental. (OI., II, 14, 23b15-20) 10. Every attribute which does not belong to its subject in either of two senses of essential attribute (cf. PsA., A, 4, 73a34-b3), namely, belonging to their subjects as an element of its formula or their subjects belonging to them as an element of them, is an accidental attribute. (PsA., A, 4, 73b3-5) 11. Those attributes that are predicated of a subject other than themselves are accidental attributes. Thus, everything except substance is an accidental in this sense. (PsA., A, 4, 73b5-10) 12. A thing not consequentially connected with anything is accidental. For example, in ‘while he was walking it lightened,’ the lightening was not due to his walking but was a coincidence. (PsA., A, 4, 73b10-15) 13. Those attributes that are not within a genus are accidental attributes. (PsA., A, 6, 75a28-31) Therefore, the extreme and middle terms that are not drawn from the same genus are accidents. (PsA., A, 6, 75b10-12) Moreover, to apply an attribute to subjects in different genera afford knowledge of the attribute, only as inhering accidentally, not as belonging to its subject as such.’ (PsA., A, 9, 75b38-76a3) . (shrink)

There are four ways in which things are said to oppose (ἀντικεῖσθαι) each other: as relatives (τὰ πρός τι), as contraries (τὰ ἐναντία), as privation and possession (στρέσις καὶ ἓξις) and as affirmation and negation (κατάφασις καὶ ἀπόφασις). (Cat. , 10, 11b15-23) Aristotle’s examples are: double and half for relatives, good and bad for contraries, blindness and sight for privation and possession and ‘He is sitting’ and ‘he is not sitting’ for affirmation and negation. We discussed relatives separately thus we (...) ignore it here. A. Contraries Contraries (ἐναντία) have the following features: 1) They are not said of each other (οὐδαμῶς πρὸς ἄλληλα λέγεται) as relatives are said of each other. (Cat., 10, 11b15-23) 2) Contraries are of two kinds: a) Non-intermediables: Those that it is necessary for one or the other of them to belong to the things they naturally occur in or predicated of and accept no intermediate between themselves. Since it is necessary for one of e.g. health and sickness to occur in an animal’s body or odd and even to belong to a number, there is no intermediate between health and sickness or odd and even. (Cat., 10, 11b38-12a9; 12b28-34) b) Intermediables: Those that it is not necessary for one of them to belong to the things they naturally occur in or predicated of and accept intermediates between themselves. It is not necessary for one of e.g. black and white to belong to a body and there may be some intermediates between them. (Cat., 10, 12a9-25; 12b34-40) 3) Contraries can change to one another when the thing capable of receiving them is there. (Cat., 13a18-21) The only exception is when one of the contraries belongs to something by nature. In such cases, change is not possible as the hotness of fire cannot change to coldness while fire is still there. 4) Contraries belong to the same thing, either the same in species or in genus as e.g. sickness and health in an animal’s body or whiteness and blackness in body simply. (Cat., 10, 14a15- ) In Metaphysics (I, 1058a8-10) Aristotle asserts that contraries are in the same genus. 5) There are three possibilities about the genera of contraries: they either are in the same genus, e.g. black and white, or in the contrary genera, e.g. justice and injustice, or are themselves genera, e.g. good and bad. (Cat., 11, 14a19-25) 6) Doing and being affected admit of contrariety, e.g. heating is contrary to cooling. (Cat., 9, 11b1-4) 7) Substances only are able to receive contraries. (Cat., 5, 4a10-17) 8) There is nothing contrary to a substance, whether primary or secondary. (Cat., 5, 3b24-27) Thus, neither man nor an individual man has a contrary. 9) There is no contrary to a quantity: e.g. four-foot ot ten has no contrary. (Cat., 5, 3b27-32) 10) Otherness in species means to be contraries. (Met., I, 1058a17-20) 11) Contrariety is complete difference. Two things that have the same genus but are different in species are other than one another in the highest degree and their difference is complete, i.e. they cannot be present along with one another. (Met., I, 1058a10-16) 12) One of the contraries is a privation, which is a denial of a predicate to a determinate genus. (Met., Γ, 1011b18-20) 13) ‘Neither true judgments nor true propositions can be contrary the one to the other.’ (OI., II, 14, 24b6-7) B. Privation and possession Privation and possession are said in connection with the same thing in which the possession naturally occurs. Only that thing which is capable of receiving a possession and only when it is entirely absent from that which naturally has it and only at the time when it is natural for it to have it, is called to be deprived of it. (Cat., 10, 12a26-30) A thing is not called e.g. blind if it has never had or was not supposed to have sight. That privation and possession are not relatives is obvious from the fact that none is called just what it is, of its opposite. (Cat., 10, 12b16-21) Moreover, while relatives reciprocate, they do not. (Cat., 10, 12b21-25) That they are not contraries is explained by the classification of contraries to intermediable and non-intermediable contraries. The latter are different from privation and possession because it is necessary for one of such contraries to be predicated of absolutely everything while it is not the case about privation and possession because they are necessary only in things naturally capable of their predication. Intermediable contraries are different from privation and possession because while the former are not necessary the latter are necessary in their subject matters. (Cat., 13a3-17) Unlike contraries for each of which it is possible to change to the other, change in privation and possession is allowed only from possession to privation and not vice versa: neither a blind man gets sight nor a bald man regain his hair. (Cat., 13a18-36) C. Affirmation and negation Aristotle regards the reception of truth and falsity as the main difference affirmation and negation opposition has in respect of other three kinds of opposition: it is only affirmation and negation that it is always necessary for one of them to be true and the other to be false (Cat., 13a37-b26), no matter the subject of affirmation or negation exists or not. (Cat., 10, 13b27-35) ‘It is impossible that contradictory propositions should both be true of the same subject.’ (OI., II, 12, 21b17-18) It is evident both about relatives and those contraries that include no co-positing, e.g. health and sickness. The only cases that resemble affirmation and negation are those contraries that are said with co-positing, e.g. ‘Socrates is well’ and ‘Socrates is sick.’ Yet, Aristotle points, not even with these is it necessary always for one to be true and the other false because if Socrates does not exist, neither will be true. (Cat., 10, 13b12-19) This is true also about privation and possession: neither ‘Socrates has sight’ nor ‘Socrates is blind’ are true if he does not exist. Moreover, it is not necessary for one or the other of them to be true or false even if he exists because until the time when it is natural for Socrates to have sight, both are false. (Cat., 10, 13b20-26) . (shrink)

The main objective of this PhD Thesis is to present a method of obtaining strong normalization via natural ordinal, which is applicable to natural deduction systems and typed lambda calculus. The method includes (a) the definition of a numerical assignment that associates each derivation (or lambda term) to a natural number and (b) the proof that this assignment decreases with reductions of maximal formulas (or redex). Besides, because the numerical assignment used coincide with the length of a specific sequence of (...) reduction - the worst reduction sequence - it is the lowest upper bound on the length of reduction sequences. The main commitment of the introduced method is that it is constructive and elementary, produced only through analyzing structural and combinatorial properties of derivations and lambda terms, without appeal to any sophisticated mathematical tool. Together with the exposition of the method, it is presented a comparative study of some articles in the literature that also get strong normalization by means we can identify with the natural ordinal methods. Among them we highlight Howard[1968], which performs an ordinal analysis of Godel’s Dialectica interpretation for intuitionistic first order arithmetic. We reveal a fact about this article not noted by the author himself: a syntactic proof of strong normalization theorem for the system of typified lambda calculus λ⊃ is a consequence of its results. This would be the first strong normalization proof in the literature. (written in Portuguese). (shrink)

At the very beginning of On Interpretation (I, 1, 16a3-14) Aristotle distinguishes four levels and discusses their relationships. From this text, we can infer the following: 1. There are four levels: writing, speaking, mental experience and external world. Since writing and speaking can truly be taken as belonging to the same realm, we can reduce Aristotle’s distinction to three realms: language, thought and external world. 2. The realm of language, in both levels of writing and speaking, is different for different (...) people but both of the other realms of thought and external world are the same for them. By this Aristotle must mean that though people of different languages have different writings and speaking words, the things that are in the world and their affections on people’s thought are the same. 3. The relations both between language and thought and in language itself is symbolization: ‘Spoken words are the symbols of mental experience and written words are the symbols of spoken words.’ 4. The relation between external world and thought is similarity: ‘Those things of which our mental experiences are similarities (παθἠματα τῆς ψυχῆς ... ὁμοιώματα).’ (ΟΙ., 16a7) In de Anima (16a8-9; II, 5, 418a4-5; II, 4, 429a10-11; 429a13-16; 429a23) Aristotle describes thoughts as ‘likenesses of objects.’ Paolo Crivelli says that in these addresses Aristotle believe that ‘a thought is of an object just if it is a likeness of it’ and ‘to be a likeness of an object is to be the result of a process of likening of which that object is a cause.’ This, Crivelli believes, is indeed the basis of the sameness of the objects of thoughts: they are results of the same processes of likening by the same objects. 5. There is a correspondence between nouns and verbs on the one hand and objects of thought without co-positing and positing away on the other hand: ‘Nouns themselves and verbs are like objects of thought (νοἠματι) without co-positing and positing away.’ (OI, I, 1, 16a13-14) A. Relationship between external world and thought The following can be inferred from Aristotle’s works about the relationship between thought and external world: 1. ‘The soul is in a way all existing things; for existing things are either sensible or thinkable, and knowledge is in a way what is knowable, and sensation is in a way what is sensible.’ (So., Γ, 8, 431b21-23) In fact, ‘within the soul the faculties of knowledge and sensation are potentially these objects, the one what is knowable, the other what is sensible.’ (So., Γ, 8, 431b26-27) 2. It is the form of the external objects that are in thought (So., Γ, 8, 431b26-29) and the objects of thought are in the sensible forms, viz. both the abstract objects and all the states and affections of sensible things (ἐν τοῖς εἴδεσι τοῖς αἰσθητοῖς τὰ νοητὰ ἐστι, τά τε ἐν ἀφαιρέσει λεγόμενα, καὶ ὃσα τῶν αἰσθητῶν ἓξις καὶ πάθη). (So., Γ, 8, 432a3-6) 3. While external objects are perishable, objects of thought seem to be eternal. (PrA., A, 33, 47b21-22) B. Relationship between language and the external world 1. There is a correspondence between the external world and the true statements about them: ‘If it is true to say that a thing is white, it must necessarily be white; if the reverse proposition is true, it will of necessity not be white.’ (OI, I, 9, 18a39-b5) 2. While external objects ‘does seem in some way the cause of’ the truth or falsity of lingual statements, ‘the true statement is in no way the cause of the actual thing’s existence.’ (Cat., 12, 14b18-22; cf. OI, I, 9, 18b36-19a6) Thus, the external objects reciprocate as to implication of existence with the corresponding true statement about them and thus are prior to them.’ (Cat., 12, 14b11-23) 3. The opposition between an affirmation and negation corresponds to an opposition in the external world between the objects underlying those statements. (Cat., 10, 12b6-15) 4. The correspondence of the whole structure of the external world and language for Aristotle is so that in analyzing the language he shows himself as analyzing the external world. It is in fact a very crucial and controversial dispute whether Aristotle’s philosophy in its very decisive parts is theorizing about language or about external world. In most of his important theories, he begins with discussing language. In fact, language is where he enters the discussion and, in many cases, where he finishes it. In these cases, he either does not discuss external world at all or only derives some principles or conclusions about it. In some other cases he begins from language but ends in external world. a) Daniel W. Graham thinks that language is Aristotle’s ‘model of the world.’ He refers to ‘subjecthood’ as what formally characterizes primary substance and explains how it bases reality in Aristotle: while to be an absolute subject is equal to be fully real, to be a predicate of a subject is equal to be real. ‘Language is not merely a tool to get around in the world; it reveals the structure of the world … the deep structure of language is isomorphic with the world… In this word, logic can reveal connections between elements because language and the world have a form in common. He lists Trendelenburg (1846, 11-13), Gillespie (1925) and (Ackrill (1963, 78-81) as those who have the same idea. b) Emphasizing on the force of τί in Aristotle’s statement when he says that assertions affirm something (τί) of something (τί) makes Peter Simpson (p. 85) to stress, in his interpretation of Jacob’s theory, on the ontological aspect of Aristotle’s philosophy. Jacob says that in his theory of predication, Aristotle focuses on ‘things’ and not words or concepts and predication is a relationship between extralinguistic entities rather than merely linguistic ones; something extralinguistic and ontological. c) Quoting Ackrill ((1963, 73): ‘the categories classify things, not words’) and Kahn ((1978, 248): ‘Aristotle never regards predication as a grammatical or linguistic relation of word to word, nor does he ever speak of subject and predicate as concepts united in judgment’), Fabio Morales says that Aristotle is not classifying predication in Categories but the attributes or properties these stand for.’ d) Graham thinks that the theory of synonymity-homonimity is not purely linguistic, since it is things rather than words that have these properties. (shrink)

The following are the characteristics of a genus: 1. Those to which the same figure of predication applies are one in genus. (Met. , Δ, 1016b32-35) 2. Things that are one in genus are all one by analogy while things that are one by analogy are not all one in genus. (Met, Δ, 1016b35-1017a3) 3. A genus includes contraries. (Met., Δ, 1018a25-31) 4. All the intermediates are in the same genus as one another and as the things they stand between. (...) (Met., I, 1057a18-30; 1057b31-34) 5. Not every predicate is a genus of what it is predicated on; for this would equate a genus with one of its own species. (PsA., A, 22, 83b7-10) 6. The opposite of the genus should always be the genus of the opposite. (To., Δ, 4, ^125a27-29) 7. A genus divides the object from other things. (To., Z, 3, 140a^24) 8. None of unity and being is a genus. (Met., B, 998b22-27; Met., K, 1059b31-34; PsA., B, 7, 92b12-14) 9. There is no necessity or even no possibility that things that are the same specifically or generically should be numerically the same. (To., H, I, 152b30-) 10. To be called one due to having one genus is in a way similar to be one due to having the same matter. (Met., Δ, 1016a24-28) 11. The substance of a thing involves its genus, and thereby all the higher genera are predicated of the lower. (To., Z, 5, 143a^20- ) 12. Being falls immediately into genera. (Met., Γ, 1004a4-6) A. Characteristics of relations between genera The characteristics of relations between genera, the relations between genera and species excluded, are as follows: 1. Genus is not an element in the composition of things. (Met., I, 1057b20-22) 2. Things resulting from the same division of the same genus are simultaneous by nature. (Cat., 13, 15a3-4) 3. Processes of proof cannot pass from one genus to another. (PsA., A, 23, 84b14-18) 4. It is not necessary for subordinate genera to have different accounts. (To., I, 15, ^107a19-) E.g. when we say a raven is a bird, we also say it is a certain kind of animal. 5. It is necessary for genera that are not subordinate one to the other to have different accounts. (To., I, 15, ^107a27-30) E.g. whenever we call a thing an engine, we do not call it an animal, nor vice versa. 6. If one of the genera is predicated in what it is, all of them, both higher and lower than this one, if predicated at all of the species, will be predicated of it in what it is; so that what has been given as genus is also predicated in what it is. (To., Δ, 2, ^122a10) 7. The same object cannot occur in two genera of which neither contains the other. (To., Z, 139b32-140a2) 8. Those to which the same figure (σχῆμα) of predication applies, are the same in genus. (Met., Δ, 1016b32-35) 9. Attributes that inhere always in each several things can be divided to two groups: those that are wider in extent but not wider than its genus and those wider than its genus. (PsA., B, 13, 96a24-27) 10. The relation between A and B must be extendable in respect of all the genera of A. Thus, if A is double of B, it must also be in excess, the genus of double, to B. Aristotle accepts, however, that this may be objectable in some cases: while knowledge is called knowledge of an object of knowledge, it cannot be called a state and disposition (which is the genus of knowledge) of an object of knowledge. In fact, it is a state and disposition of the soul. (To., Δ, 4, 124b28-34) B. Characteristics of species The following are the characteristics of species: 1. Things are said to be other in species if they are of the same genus but are not subordinate the one to the other. (Met., Δ, 1018a38-b2; Met., I, 1057b35-37) 2. Contraries are other than one another in species. (Met., Δ, 1018b5-7; Met., I, 1058b26-) 3. It is not sufficient for a difference to be the basis of distinguishing species in a genus because it belongs to the genus in virtue of its nature as, e.g., the difference between men and women belongs to animal in virtue of its nature. It must also be a modification peculiar to the genus (οἰκεῖα πάθη τοῦ γένους) in the strongest sense. (Met., I, 1058a29-37) Thus, contraries which are in the formula (ἐν τῷ λόγῳ) make a difference in species, but those which are in the compound material thing do not make one as e.g. being male and female is a difference in matter. (Met., I, 1058a37-b23) 4. Some things are peculiar to the species as distinct from genus: there are attributes peculiar to each distinct species. (PrA., A, 27, 43b27-29) 5. There is no necessity or even no possibility that things that are the same specifically should be the same numerically. (To., H, I, 155b30-) C. Characteristics of relations between genera and species The following are the characteristics of relations between genera and their species: 1. Although species predicated of individuals seem to be principles rather than the genera, it is hard to say, Aristotle asserts, in what sense species are to be taken as principles. (Met., B, 999a14-21) 2. Things that are one in species are all one in genus, while things that are one in genus are not all one in species. (Met., Δ, 1016b35a1) 3. The relation of a species to its genus is like the relation of primary substance to all others: the species is a subject for the genus (ὑπόκειται γὰρ τὸ εἴδος τῷ γένει) and the genera are predicated of the species but the species are not predicated of them. (Cat., 5, 2b17-22) 4. Of the species themselves- those which are not genera- one is no more a substance than another: a certain horse is no more a substance than another horse. (Cat., 5, 2b22-26) 5. Genera are prior to species since they do not reciprocate as to implication of existence (κατὰ τὴν τοῦ εἶναι ἀκολούθησιν). For example, if there is a fish there is an animal, but if there is an animal there is not necessarily a fish. (Cat., 13, 15a4-7) 6. What belongs both to a species and to its genus, it belongs to the species more properly indeed than to the genus. (PrA., A, 27, 43b29-32) 7. A predicate drawn from the genus is never ascribed to the species in a derived form and as its genus. Thus, e.g. coloured cannot be a genus of ‘white’ when we say ‘white is coloured.’ (To., B, I, ^109b1-5) 8. Genera are predicated of their species synonymously because the species take on both the name and the account of their genera. (To., B, I, ^109b3-6) 9. All the attributes that belong to the species belong to the genus as well but there is no necessity that all the attributes that belong to the genus should belong also to the species. (To., B, 4, 111a20-32) 10. Those things of which the genus is predicated must also of necessity have one of its species predicated of them. (To., B, 4, 111a33-) 11. The higher genus should be predicated of the species in what it is. (To., Δ, 2, ^122a6) 12. The species, or any of the things which are under the species, is not predicated of the genus because the genus is the term with the widest range of all. (To., Z, 6, 144a27f.) 13. The same species cannot be in two genera neither of which contains the other. (To., Z, 6, 144b14f.) 14. None of the species of a genus is prior or posterior to other species but they are thought to be simultaneous by nature. (Cat., 13, 14b38-15a1) 15. Daniel W. Graham points that sometimes Aristotle speaks of species as classes (Cat., 5, 2a14-17) and sometimes as properties or a certain character (ποιόν τι) of substances, which is difficult to be distinguished from the category of quality. (Cat., 3b13-22) D. Characteristics of differentia 1. The last differentia will be the substance, the definition and the form of the thing. (Met., Z, 1038a18-28) 2. If we divide according to accidental qualities, there will be as many differentiae as there are processes of division. (Met., Z, 1038a25-28) 3. The differentia divides the object from any of the things contained in the same genus. (To., Z, 3, 140a24-) 4. A. C. Lloyd argues that Aristotle’s logic of classification contains a vicious circle because: ‘For a genus to be predicated unequivocally and essentially of a species the specific differentiae have to be ‘appropriate’; but in order to know whether a proposed differentia is appropriate we have to know whether the genus is predicable essentially of the species thus defined.’ The predication of differentia on primary substance seems to make difficulties in Aristotle’s system, as Terence Irwin points out. It seems to violate the distinction of strong predication and inherence, a distinction between predication of count-nouns and predication of characterizing adjectives. Irwin says that this violation is only apparent because although the differentia-term is an adjective, its gender agrees with the gender of the understood genus-term and not with that of the subject term. ‘Man is biped’ is indeed ‘Man is a biped animal.’ This shows, Irwin asserts, ‘why Aristotle can still mention that strong predication is nominal and inherence is adjectival.’ Differentiae are not, however, secondary substances, as Aristotle himself insists. A differentia does not say what the thing is, as secondary substances do, but only what it is like or what sort it is. (ποιον: To., 122b12-17; 128a20-29; 139a28-31; 142b25-29) Nonetheless, differentiae are not qualities because they are not inherent. Thus, they cannot be regarded in any of the ten categories. Irwin thinks that this anomaly is unnecessary because Aristotle could give good reasons for taking differentiae to be second substances. E. Characteristics of relations between differentia and genera or species 1. It is not possible for the genus to be predicated of the differentia taken apart from the species. (Met., B, 998b23-25; Met., K, 1059b31-33; To., VI, 6, 144a32-b1) 2. It is not possible for the species of the genus to be predicated of the proper differentiae of the genus. (Met., B, 998b24-26) 3. Where the differentia is present, the genus accompanies it, but where the genus is, the differentia is not always present. (Met., Δ, 1014b12-14) 4. The number of species are equal to the number of differentiae. (Met., Z, 1038a15-18) 5. The differentiae of genera which are different and not subordinate one to the other are themselves different in kind. (Cat., 3, 1b16-20; To., I, 15, ^107b19-) 6. There is nothing to prevent genera subordinate one to the other from having the same differentia. (Cat., 3, 1b20-22) 7. Since the higher genera are predicated of the genera below them, all differentiae of the predicated genus will be differentia of the subject also. (Cat., 3, 1b21-24) 8. The definition of the differentia is predicated of that of which the differentia is said. (Cat., 5, 3a25-28) 9. In giving what a thing is it is more fitting to state the genus than the differentia. For example, anyone who says that man is an animal shows what man is better than who describes him as terrestrial. (To., Δ, 6, ^128a24-27) 10. The differentia always signifies a quality of the genus, but the genus does not do this of the differentia. (To., Δ, 6, 128a27-29; To., Z, 6, 144a20-23) 11. A specific differentia, along with the genus, always makes a species. (To., Z, 6, 143b^1-) 12. A genus is always divided by the differentiae that are co-ordinate with it in a division and the differentiae that are co-ordinate in a division are all true of the genus. (To., Z, 6, 143b^1-) 13. Differentia cannot be predicated of the genus because genus is the term with the wider range. (To., Z, 6, 144a27-) In fact, genus is predicated, not of the differentia, but of the object of which the differentia is predicated. (To., Z, 6, 144a^31-b3) 14. Neither species nor the objects under it can be predicated of the differentia because the differentia is a term with a wider range than the species. (To., Z, 6, 144b4-) 15. The differentia is posterior to genus but prior to the species. (To., Z, 6, 144b^9-) 16. The same differentia cannot be used of two genera neither of which contains the other and if they do not both fall under the same genus. Otherwise, the same species will be in two genera neither of which contains the other, which is impossible. (To., Z, 6, 144b14-) 17. Genus and differentia are prior to and more familiar than the species: ‘For annul the genus and the differentia; and the species too is annulled, so that they are prior to the species. They are also more familiar; for if the species is known, the genus and differentia must of necessity be known as well (for anyone who knows what a man is knows also what animal and terrestrial are), whereas if the genus or the differentia is known it does not follow of necessity that the species is known as well; thus the species is less intelligible.’ (To., Z, 4, 141b15-) F. Characteristics of relations in series of classes 1. Mutually exclusive series. If no term in the series ACD… is predicable of any term in the series BEF…, and if G- a term in the former series- is the genus of A, clearly G will not be the genus of B; since, if it were, the series would not be mutually exclusive. (PsA., A, 15, 79b6-11) 2. Atomic disconnection of series. Of two mutually exclusive series ACD and BEF, if neither A nor B has a genus and A does not inhere in B, this disconnection must be atomic. (PsA., A, 15, 79b6-14) G. Characteristics of relations of individuals 1. No individual in a species is more substance than another individual in another species. (Cat., 5, 2b26-28) An individual man, for instance, is no more a substance than an individual ox. 2. Each attribute is wider than every individual it is predicated on, though several attributes, collectively considered, might not be wider but exactly the substance of a thing. (PsA., B, 13, 96a32-b1) 3. Not distinguishing between class membership and class inclusion? Some commentators like Vlastos and Ackrill (1963, 76) criticized Aristotle because he, they believe, did not distinguish between class membership (between species and particulars) and class inclusion (between genera and their species). Having accepted this point, Daniel W. Graham believes it is ‘question-begging in a curious way.’ Phil Corkum thinks that Aristotle employs mereological notions. (This criticism seems so strange because all the Aristotle’s point in distinguishing species 2 from genera is strictly the distinction of class membership and class inclusion as they call them so. (shrink)

About death, grief, mourning, life after death and immortality. Why should we die like humans to survive as a species. -/- "No one wants to die. Even people who want to go to heaven don't want to die to get there. And yet death is the destination we all share. No one has ever escaped it. And that is as it should be, because Death is very likely the single best invention of Life. It is Life's change agent. It clears (...) out the old to make way for the new." (Steve Jobs) -/- CONTENTS: -/- Death - Philosophy of death - Religions - - Animism - - Atheism - - Buddhism - - Christianity - - Hinduism - - Islam - - Jainism - - Jehovah's Witnesses - - Judaism - - Latter-day Saints - - Spiritism - Symbolism - Personification of Death - - Notable personifications - - In mythologies - - - Hindu mythology - - - In Japan - - - Slavic paganism - - - Lithuanian paganism - - In the three monotheistic religions - - - Judaism - - - Christianity - - - In Mexico - - - Islam - Axiochos - - The characters of dialogue - - Dialogue - - Prologue - - Arguments - - Citations - Paradise - - Greco-Roman mythology - - Mesopotamian mythology and influences - - According to Judaism - - According to Christianity - - - According to Catholicism - - - According to Protestantism - - - According to the Church of Jesus Christ of Latter-day Saints - - According to Islam - - According to Hinduism - - According to modern spiritualities - - - According to the esoteric - Hell - - Mesopotamian origins - - According to Christianity - - - Names appearing in the biblical texts - - - Medieval artistic representations - - - Concepts according to Christian movements - - According to Judaism - - According to Islam - - According to Buddhism - - According to Hinduism - - According to modern esotericism - - - According to Aïvanhov - - - According to Allan Kardec - - Philosophy - - - Jewish Kabbalah - - - Sartre - - - Popular wisdom Funerals - The funeral ritual: a rite of passage - Prehistory - Ancient death customs - - The family bereavement - - Mummification - - Sarcophagi - - Funerals - - Ancient Greece - - Ancient Rome - - Celts, Germans and Scandinavians - Religious funeral rites - - Buddhism - - Judaism - Christianity - - Protestantism - - Islam - Funeral rites by continent - - In Africa - - In Europe - The contemporary era - Mourning (Grief) - - Steps - - - Death of a close - - Loss events without mourning value (white factors) - - Duration and manifestations - - Risks - - Colors - Graveyards (Cemeteries) - - First cemeteries - - Cemeteries today - Funerary art - Dolmens - - Types of dolmens - - Function - - Location - Passage graves - Cenotaphs - - Famous cenotaphs - Lanterns of the Dead Afterlife - History - Questions about death and immortality - Testimonials - - Spiritualistic experiences - - Popular literature on the afterlife - - "Memories" and reminiscences - - Early studies of the science of the 19th century and early 20th century - Types of scenarios - Some religious and philosophical concepts - - Afterlife in Buddhism - - Afterlife in Christianity - - According to Hinduism - - According to Islam - - According to Judaism - - According to Mormonism - - According to the ancient philosophies - - According to Spiritism - - According to Native American traditions - - According to Vedism - - According to Esotericism - In science - Near-death experiences - - Clinical death - - NDE frequency - - Effects of depth of NDE on survival - - Near-death experiences and shared-death experience - - - The first contemporary testimonials - - - Experience according to Moody - - - The concept of "shared death" - - - The NDE scales - - The study of Pim van Lommel - - Spiritual and patient point of view - - - Survivalists studies - - - The religious understanding of the phenomenon - - Scientific views - - - Physiological explanation - - - Psychological explanation - Reincarnation - - Religions - - - In Hinduism - - - In Jainism - - - In Buddhism - - - In Judaism - - - In Christianity - - - In Islam - - In contemporary times - - - Esotericism - - - Works of the psychiatrist Ian Stevenson - - - Radical increase in life expectancy and artificial reincarnation - - Criticism - - - Arthur Schopenhauer - - - Ramana Maharshi - - - Rene Guenon - - - Ananda Kentish Coomaraswamy - Metempsychosis - - Theories - - Ideas - Maschalismos Immortality - Immortality of the soul and religious traditions - - Buddhism - - Christianity - - Islam - - Mormonism - Contemporary perception of the immortality of the body - - Observation in the animal kingdom - - Perspectives for mankind - Immortality in science - - Alexis Carrel - - Jean Rostand - - Hayflick limit - - Étienne-Émile Baulieu and DHEA - - Aubrey de Grey - - Professor Skulachev - - Regenerative medicine - - Professor Christopher Jaeger - Eternal Return - - According to the Mesopotamians - - According to Heraclitus and the Stoics - Fountain of Youth - - History of myth and relatives myths - - - In Roman mythology, Germanic, Celtic and Irish - - - In the Middle-East - - - In Spain - - - In the Bible - - The fountain in art and literature - - Painting - - - Literature and cinema - - Persistent of the myth until today - Senescence - - Why do we age? - - Gene regulation - - Cellular senescence Undead - Ghoul - Lich - Mummy - Skeleton - Vampire - Zombie - Other legendary creatures - Creatures specific to a particular universe - Spiritism - - Point out - - Origins of spiritism - - - The traditions through the ages - - - Advent of Christianity in Europe - - - The survival of necromancy - - - The precursors - - - Relations of spiritualism to science - Mediumship - - History - - Skeptical point of view - - Favorable doctor's viewpoint - Ghosts - - Appearance - - Belief in ghosts - - Origin - - - Duality and return dead - - - Ancient roots - - Typology - - - Poltergeists - - - Revenants - - - Ghosts - - - Banshees - - - Apparitions of crisis - - - Phantasms of the living - - - Vision of his own double - - - Ghost armies - - - Ghosts of animals - - - Means of transport - - Science perspective - - - Hallucinations - - - Sleep paralysis - - - Induced ghosts - - - Aches and infrasounds - - - Magnetic fields - Vampires - - Characteristics - - - Vampire transformation - - - Identification - - - Faculties - - Protection against the vampires - - - Precautions at death and burial - - - Apotropaic objects and places - - Destruction of vampires - Zombie - - The concept - - Africa and voodoo - - - West Africa - - - South Africa - - - In Haiti (and the Caribbean) - - - Scientific research - - The "revenants" in the Western imaginary Death in art - Memento mori - - History - - - Antiquity - - - Christianity - - - Mexican syncretism - - Performing arts - - - In painting - - - In literature - - - In movies - - - In video games - - - In Japanese animation - - - In music - The iconography of Weighing of souls (Particular judgment) - - Origin - - Written sources - - Weighing in Romanesque art - - Weighing in Gothic art - - Weighing in the late Middle Ages: to a new iconography - - Weighing of souls or actions? - Poems - - Charlotte Brontë, “On the Death of Anne Brontë” - - Edgar Allan Poe, “Annabel Lee” - - Edna St. Vincent Millay, “And you as well must die” - - Emily Dickinson, “Because I could not stop for Death” - - Emily Dickinson, “If I Should Die” - - Lord Byron, “Epitaph to a Dog” - - Pablo Neruda, “Only Death” - - Stephen Crane, “God Lay Dead in Heaven” - - W. B. Yeats, “He Wishes His Beloved Were Dead” - - Rainer Maria Rilke, “Death” - Paintings - - The Three Dead Kings - - The Death of Nelson - - Beata Beatrix - Sculptures - - The Kiss of Death - - Background - - Imagery - - Angel of Grief - - Fallen Astronaut - Quotes References About the author - Nicolae Sfetcu - - By the same author - - Contact Publishing House - MultiMedia Publishing -/- DOI: 10.58679/TW44411. (shrink)

MANEJO NA AVICULTURA: POSTURA, ILUMINAÇÃO E INCUBAÇÃO DOS OVOS -/- MANAGEMENT IN POULTRY: POSTURE, ILUMINATION AND INCUBATION OF THE EGGS -/- 1. INTRODUÇÃO A produção de ovos no Brasil está próxima de 45 bilhões de unidades por ano, mantendo um desenvolvimento constante em todos os seus aspectos: genética, instalações, patologia, alimentação, etc. Ao longo do presente trabalho, pretende-se estabelecer os conceitos que estão ligados à produção de ovos, distribuição de ovoprodutos e refletir as ideias básicas sobre os programas de iluminação (...) nas galinhas. Num segundo bloco serão analisados aspectos relacionados com a incubação dos ovos, como a higiene e o manejo, o tratamento do ovo e, por último, a caracterização dos fatores envolvidos no processo da incubação. 2. PREPARAÇÃO/POSTURA DOS OVOS A galinha começa a ovulação normalmente a partir das 20-22 semanas de vida, se bem que mediante práticas de manejo (alimentação, programas de luz, etc.) pode-se adiantar ou atrasar o momento do início das primeiras ovulações. A genética tem, logicamente, um papel importante na idade em que se alcança a puberdade das aves. Mencionamos ritmos de postura por ser a oviposição facilmente verificável, já que nem toda ovulação é seguida de oviposição, como nos casos de queda da gema na cavidade intraperitoneal. Aos primeiros sinais de postura de ovos em frangas jovens, frequentemente observam-se certas irregularidades como: a) Postura irregular: longos intervalos entre dois ovos ou mais de um ovo por dia (geralmente são anormais). b) Ovos com casca mole («soft shelled eggs»), sem a adequada classificação de cálcio. c) Ovos com duas gemas. Talvez estes fenômenos sejam provenientes de uma excessiva estimulação do ovário e disfunções do oviduto. Em suma, tudo isto pode ser consequência da falta de sincronização dos complexos mecanismos que regulam o processo. Uma vez regularizada a postura dos ovos, verifica-se que a galinha coloca um número de ovos sucessivos, seguido de uma pausa ou descanso na postura (choco) de um ou vários dias. O número de ovos que põe seguidos é chamado de sequência ou série de postura. Normalmente, essa “pausa” acontece após uma sequência de quatro a seis ovos postos. A sequência de postura de uma galinha pode ser regular, ou seja, que se repete sucessivamente o número de ovos postos de forma contínua, ou irregular quando essa sequência não obedece ao padrão normal, sendo ela derivada. O mesmo aconteceria com os dias de descanso. Como exemplo podemos encontrar: XXXX - XXXX - série e repouso regular XXX — XX — série e descanso irregular O espaço de tempo entre dois ovos de cada série é um caráter individual. Verificações de Menher (1969) indicam que o intervalo médio entre dois ovos sucessivos de uma série depende da duração desta. Em grandes séries diminui o tempo entre dois ovos sucessivos. À medida que a idade da galinha aumenta, as séries diminuem. Também observa-se que o tempo transcorrido entre dois ovos sucessivos é menor na metade da série e máximo no final da série. Uma galinha com uma série regular do tipo: XXXX - XXXX durante um período de tempo concreto permite-nos estabelecer que tem uma intensidade de postura de 80%. A intensidade de postura é definida como a porcentagem de ovos de um efetivo de galinhas num determinado período de tempo. A evolução da porcentagem de postura ao longo da vida produtiva do rebanho nos dá a curva de postura com três fases: crescimento, constância retilínea e decrescente. Define-se como período de postura o intervalo de tempo entre o início da postura da galinha (20-22 semanas) e o fim da mesma. A duração deste período pode ser variável (entre 12 e 20 meses), dependendo de vários fatores. Se observarmos a hora de oviposição dos diferentes ovos de uma série de galinhas, verificaríamos que a mesma se atrasa dia após dia. Este é um fato lógico, tendo em conta que a formação do ovo é superior a 24 horas. Também se comprova que em nenhum caso há oviposições nos períodos de escuridão quando se mantêm programas clássicos de iluminação (porém, é frequente comprovar que uma porcentagem de ovos podem ser postos durante o período de escuridão). O controle dos mecanismos que regulam os ritmos de ovulação e que definirão as séries é muito complexo, então tento fazer um pequeno resumo. Uma vez produzida a ovulação, a presença de um ovo em formação colocaria em funcionamento um sistema «Feedback» negativo da seguinte forma: gema → gera estímulos nervosos → hipotálamo → suprime RH → sem estimulação da hipófise → bloqueio de uma nova ovulação Esta ideia não é tão simples e se desconhecem em profundidade os mecanismos que a regulam. Observe uma figura que detalha melhor a formação do ovo e a passagem pelos respectivos compartimentos reprodutivos da galinha. 3. DISTRIBUIÇÃO DAS OVIPOSIÇÕES Com programas de iluminação clássicos (17L:7N) já assinalámos que a oviposição na galinha realiza-se no período de luz, e que diariamente o momento de tal oviposição irá sendo regredido (atrasado). No entanto, existe algumas horas onde a frequência máxima de postura é concentrada, que normalmente coincide com as 2-4 horas após a iluminação. Se, experimentalmente, fornecermos 24 horas de luz às galinhas, a postura ocorre durante todo o período, seja de forma aleatória ou através os estímulos a determinados pontos de referência de fatores externos periódicos: ruídos, entradas, fala de pessoas, etc., então podemos estabelecer que existe um certo sincronismo. Quando os programas de iluminação que se seguem nas granjas de galinhas poedeiras não se ajustam às 24 horas ou que seguem programas fraccionados, a resposta é diversificada e deixamos sua avaliação até não conhecer os distintos programas especiais de iluminação. 4. BASES DA ILUMINAÇÃO PARA GALINHAS POEDEIRAS O estabelecimento de programas de iluminação começa na fase de recria da franga e dada a influência que a luz exerce sobre o desenvolvimento da maturidade sexual, os programas que se instauram terão um impacto sobre o futuro produtivo das frangas. As considerações que devem ser levadas em conta no estabelecimento dos programas de iluminação são as seguintes: a) Os programas devem ser considerados como uma "globalidade" durante toda a vida da galinha. A instauração de programas de iluminação das galinhas poedeiras deve estar em conformidade com o programa seguido durante a fase de recria. b) Os aumentos no fotoperíodo durante a fase de recria implica um adiantamento no aparecimento da maturidade sexual da galinha. Este efeito deve ser considerado prejudicial, uma vez que esta postura precoce é acompanhada de tamanhos inferiores de ovos (cuja avaliação no mercado é reduzida). Este avanço no início da postura pode levar a uma falta de harmonia entre puberdade e o desenvolvimento corporal (aponta-se para uma maior incidência de prolapsos). Também indica-se que uma maturidade sexual precoce pode ser acompanhada de irregularidades na postura, pior qualidade da casca e até a um maior índice de mortalidade. c) A redução do fotoperíodo durante a recria permite atrasar o momento do início da postura e a produção de ovos é de uma maior dimensão inicial, o que compensa a ligeira diminuição do número de ovos na sua vida produtiva. d) Estabelecido um programa e posto em prática não pode alterar-se o mesmo. e) Nunca diminuir o fotoperíodo na fase de produção de ovos. f) As alterações do fotoperíodo (aumentos ou diminuições) não passam de um conceito de sensibilidade ao fato do que da magnitude dessas alterações. g) As alterações no fotoperíodo afetam inicialmente o consumo de ração das frangas, mas estas adaptam-se rapidamente aos seus níveis de ingestão e suprimento de exigências ao novo fotoperíodo. h) Ações qualitativas (limitação de um nutriente) ou quantitativas na ração fornecida podem permitir, em si mesmas, o atraso da maturidade sexual das frangas, embora não se apliquem normalmente para este fim. O controle quantitativo do gênero alimentício obedece a estratégias destinadas a obter o peso ideal para uma determinada idade de acordo com as normas fornecidas pelo fornecedor das diferentes estirpes comerciais. i) Na decisão final, ao se definir um programa deve-se ter presente: Tipo de alojamento: — Galpão com ambiente controlado. — Galpão convencionais com janelas. Neste último caso a época de nascimento das frangas será um fator relevante a ser levado em consideração. Como aspectos a destacar poderíamos citar: — Durante os primeiros dias de vida da galinha convém fornecer-lhe luz durante as 24 horas, a fim de facilitar a adaptação ao seu novo habitat (localização de comedouros e bebedouros, etc.). — Durante a fase de recria devem ser evitadas falhas que estabeleçam períodos fotocrescentes, já que alterarão a resposta produtiva posterior de tais frangas (especialmente se altera-se na última fase do período decrescente). 4.1 Programas práticos de iluminação na recria Ao longo do trabalho consideraremos sempre uma recria de 20 semanas, embora este dado possa ser variável de acordo com: a) Melhoria genética das estirpes atuais, as quais tendem a ser mais precoces. b) Tentativa de uma maior produção de ovos. No caso de reprodutoras semipesadas, a duração do período de recria pode ser de 21-22 semanas. 4.1.1 Galpões convencionais com janelas Neste tipo de galpão a iluminação externa incide no interior do navio e devem ser estabelecidos programas para combater o aumento de luz natural que se apresenta de janeiro a junho. 1. Programa de fotoperíodo decrescente Para realizar este tipo de programa pode-se seguir esta rotina: a) Verificar na tabela as horas de luz natural (x) que vão dispor-se quando as frangas cumprirem as 20 semanas de vida. b) Aumentar em 6 horas o valor observado na tabela (x + 6 horas) e fornecê-las aos 4 ou 5 dias de vida. c) Diminuir semanalmente a iluminação artificial, de tal forma que quando chegarem às 20 semanas de vida, a luz fornecida coincida com a luz solar. Exemplo prático: frangas nascidas em 8 de janeiro: a) Observa-se em tabela que cumprirão as 20 semanas em 28 de maio, tendo um comprimento do dia de 14 horas e 45 minutos. b) aumentamos em 6 horas e fornecemos 20 horas e 45 minutos a partir do quarto dia. c) Diminuímos semanalmente 360 minutos/20 semanas = 18 minutos e quando cumprirem as 20 semanas de vida, o fotoperíodo de que dispõem (14 horas e 45 minutos) coincide com o comprimento do dia. 2. Programa de fotoperíodo constante a) Para levar a cabo este tipo de programa deve-se verificar na tabela o comprimento do dia mais longo durante as 20 semanas que dura a recria. b) Proporcionar essas horas de luz a partir dos primeiros 3-4 dias durante as 20 semanas. O uso de programas de luz constante em galpões convencionais com janelas não é muito frequente, apesar da certa poupança energética que acarreta. 4.1.2 Galpões com ambiente controlado Neste tipo de galpão considera-se que a luz solar não exerce nenhuma ação no interior do mesmo. No entanto, é necessário atentar-se para que o conceito de galpão totalmente escuro seja levado até às suas últimas consequências, evitando que por sistemas de ventilação, etc., possam existir fugas de luz que alterariam os programas de iluminação propostos. Nos galpões com ambiente controlado seguem-se dois tipos de programas: 1. Programa decrescente-constante Durante as primeiras semanas vai-se diminuindo o fotoperíodo paulatinamente (1 ou 2 horas) até chegar a 8 ou 10 horas, que ficariam constantes até as 20 semanas de idade. Uma variável deste programa consiste em ir diminuindo lentamente as horas de luz e por volta da 12ª semana fazer uma diminuição brusca, deixando um fotoperíodo de 7-8 horas, que se perduraria até às 20 semanas de vida. 2. Programa constante Consiste em proporcionar de 7 a 10 horas de luz constante durante toda a fase de recria (com exceção dos primeiros dias, os quais se consideram de adaptação). Na hora de estabelecer a intensidade luminosa nesta fase de recria nos encontramos com intervalos muito amplos. Diferentes fornecedores de frangas recomendam de 20 a 40 lux durante os primeiros dias e ir diminuindo de tal forma que ao primeiro mês de vida estejam a 10-20 lux. A partir da 5 semana e até 3-4 meses vem sendo recomendada 5-10 lux para que possa, assim, aumentar a intensidade a partir dessa data para níveis de 10-30 lux. 4.2 Programas clássicos de iluminação na fase de postura Uma vez que as frangas tenham atingido as 20 semanas de idade, é preciso estabelecer os programas de iluminação para o período de postura. É necessário considerar, como se fazia no período de recria, o tipo de galpão em que vão residir durante todo o período de postura, bem como o programa seguido na fase de recria. Recordando novamente que ao longo do período de postura nunca se deve diminuir a duração do fotoperíodo, passamos a definir os programas de iluminação mais usuais em função do tipo de galpão: 4.2.1 Galpões convencionais com janelas 1. Programa crescente Consiste em ir incrementando o fotoperíodo a partir da 20ª semana. Podem existir várias opções: a) Aumento do fotoperíodo semanal de forma constante até atingir as 16-17 horas de iluminação. b) Aumento brusco do fotoperíodo às 21 e 23 semanas até atingir as 15,5 horas de iluminação, que ficariam fixas em toda a fase de postura. Esta é uma recomendação clássica de algumas casas comerciais. Em galpões convencionais com janelas, os programas de iluminação constante não costumam ser utilizados. 4.2.2 Galpões de ambiente controlado Neste tipo de galpão deve ser instaurado um programa de fotoperíodo crescente. Às 20 semanas e em função do fotoperíodo que seguiram na fase de recria o incremento pode ser brusco (caso de frangas recriadas com 8-10 horas de iluminação, pode-se passar a 12-13 horas) e seguir posteriormente com incrementos de 20-30 minutos até atingir as 16-17 horas de iluminação. A intensidade da luz durante a fase de produção de ovos é unânime em considerar os valores de 10-15 lux como os mais adequados, desde que exista homogeneidade na sua distribuição. Atualmente, as recomendações das diferentes casas comerciais de estirpes de poedeiras são mais elevadas: na ordem de 20 a 30 lux. Níveis muito superiores não têm efeito sobre a produção de ovos e podem desencadear problemas de arranque de penas quando a intensidade é excessiva. 4.3 Outros programas de iluminação Em instalações de ambiente controlado os custos energéticos representam um capítulo importante dentro dos custos de uma exploração avícola. A fim de economizar energia, uma série de programas de iluminação vem sendo ensaiada, especialmente para a fase de postura, que poderíamos englobar em dois grupos: a) intermitentes ou fracionados. b) Não ajustados a 24 horas. 5. HIGIENE E MANEJO DA INCUBAÇÃO A higiene de todo o processo de incubação deve servir para estabelecer uma primeira medida de ruptura da cadeia de infecção. Há uma série de doenças como Marek, pulorose, encefalomielite aviária, micoplasmose, etc., que estão associadas ao processo de incubação. A higiene de todo o processo deve corresponder inicialmente ao controle na exploração, de tal forma que os reprodutores devem estar, do ponto de vista sanitário, em perfeitas condições e estendê-las ao manejo mecânico do ovo, regulação de entradas e saídas e igualmente a todas as instalações. Antes de continuar com o manejo do ovo para a incubadora, convém recordar alguns aspectos do desenvolvimento embrionário que ocorre dentro da própria galinha: o ovo é fertilizado na parte distal do infundíbulo cerca de 15 minutos após a ovulação, e quando se encontra no istmo (às 5 horas) já se produzem as primeiras divisões celulares. Às 9 horas da ovulação, o blastodermo cresce até um estágio de 256 células e antes da oviposição a formação do tubo digestivo (gastrulação) já está completada no embrião (PARKHURST e MOUNTNEY, 2012). As divisões celulares continuam após a oviposição, desde que as temperaturas estejam acima de 26,8ºC (zero fisiológico). 6. MANEJO DO OVO PARA A INCUBAÇÃO A colheita dos ovos nas explorações de reprodução deve ser efetuada com uma certa periodicidade (três a cinco vezes por dia), a fim de evitar problemas de roturas e de ovos sujos. Não devemos esquecer que a colocação em um mesmo ninho de vários ovos originam modificações nas temperaturas dos mesmos (superiores a zero fisiológico), que poderiam estar associadas a um reinício das divisões celulares no embrião. Uma vez recolhidos, os ovos devem ser instalados num armazém que permita manter uma temperatura de 15-18ºC (nunca inferior a 10ºC) e uma umidade de 70-75% para evitar uma perda de peso excessiva. A temperatura de armazenagem dos ovos para incubação pode variar em função do tempo em que permanecerão armazenados, pelo que é conveniente programar temperaturas mais baixas para um período de armazenagem mais longo. Alguns autores estabelecem que os ovos que permanecerem 3 dias na incubadora podem ser programados com temperaturas de 15ºC, enquanto que os que se armazenam por mais de 9 dias a temperatura recomendada é de 12ºC. Os ovos com problemas de casca, tais como calcificações defeituosas, quebra ou fissura, ovos com formas anormais e ovos com casca lisa e bem formada, devem ser eliminados na própria instalação. A uniformidade do tamanho dos ovos é um aspecto a destacar e o intervalo de peso mais adequado é de 55-65 g. Os ovos de maior tamanho sempre apresentam níveis mais elevados de problemas de casca e o período de incubação do mesmo é superior (até mais de 12 horas), por isso não é aconselhável introduzi-los na incubadora, assim como os ovos pequenos e os de gema dupla. Os trabalhos de Ron Jones (1978) evidenciam a importância do tamanho dos ovos ao considerar que as perdas de peso por evaporação são mais rápidas nos ovos de menor peso, e inclusive assinala que os ovos de casca branca são mais porosos, sugerindo sua incubação separada em função do tamanho. A desinfecção dos ovos (fumigação) com uma solução de formalina é prática corrente (45 ml de uma solução de formalina a 40% e 30 g de permanganato de potássio por metro cúbico de espaço ou 10 g/m3 de paraformaldeído aquecido num fumigador eléctrico), segundo as recomendações do Guia Cobb (1991). Um excesso de gás formaldeído pode ser neutralizado através da introdução de amoníaco líquido concentrado, 20 ml/m3. Pode também utilizar-se uma solução de cloro (500 ppm) a 43ºC durante 2 minutos, bem como produtos com amônio quaternário. Quando o tempo de armazenamento dos ovos para incubação é inferior a uma semana, a posição dos ovos para incubação dificilmente influencia a incubabilidade posterior. No entanto, quando o tempo de armazenamento excede 2 semanas, a incubabilidade dos ovos melhora se eles são virados diariamente. Romanoff, em 1960, estabeleceu os valores de incubabilidade dos ovos em função do tempo de armazenagem, verificando-se que, à medida que o período de tempo entre a postura dos ovos e a colocação na incubadora aumenta, os resultados de incubação diminuem, como pode ser observado na tabela 1: Tabela 1: Valores de incubalidade dos ovos em função do tempo de armazenamento -/- Período de armazenamento (dias) Incubalidade (%) 14 80 21 70 28 30 32 < 10 Fonte: ROMANOFF, 1960. Para evitar mudanças bruscas de temperatura (da sala de armazenamento da incubadora), que podem causar transpirações nos ovos, recomenda-se um aumento gradual da temperatura (12 a 18 horas antes de serem introduzidos na incubadora). Os ovos fecundados que são submetidos a longos percursos até chegarem ao incubatório devem ser mantidos no armazém durante 1 ou 2 dias antes de serem colocados nas incubadoras, melhorando assim os resultados de incubação. Através dos poros há uma troca de gases durante o armazenamento. O dióxido de carbono difunde-se no exterior e a sua concentração no ovo diminui rapidamente nas primeiras 12 horas após a postura. Se juntarmos as perdas de vapor de água, descobriremos que o armazenamento tem um impacto negativo nos resultados finais do processo de incubação. Experimentalmente, o tempo de armazenagem dos ovos fertilizados pode ser prolongado através da embalagem hermética em atmosfera de nitrogênio ou de anidrido carbônico, incluindo o revestimento de óleos. Alguns incubatórios testam o revestimento dos ovos com materiais plásticos para evitar tais perdas, todavia não é muito indicado, uma vez que lacra a passagem do oxigênio exterior para o embrião interior. No caso de nos depararmos com ovos sujos, e apesar dos condicionantes sanitários que vão associados, pode-se recorrer à sua limpeza e lavá-lo com água e algum desinfetante. Se a limpeza for excessiva, deve considerar-se a alteração que pode ter sofrido a cutícula da casca, pelo que não se recomenda a raspagem manual ou mecânica da mesma. De acordo com o estabelecido pelo Guia Cobb (1991), os efeitos mais importantes do armazenamento dos ovos são: a) O armazenamento prolonga o tempo de incubação e, em média, um dia de armazenamento prolonga o tempo de incubação por 1 hora. b) A armazenagem reduz a incubabilidade dos ovos. Este efeito, descrito acima, é quantificado de forma que a partir do quinto dia de armazenamento, cada dia de armazenamento adicional representa perdas de 0,5 a 1% na incubabilidade. c) O peso dos ovos pode diminuir quando o armazenamento dos ovos é de 14 dias ou mais. 6.1 Carregamento dos ovos na incubadora Embora ainda existam incubatórios que introduzem os ovos diretamente do armazém para a incubadora, recomenda-se um pré-aquecimento suave dos ovos até atingir temperaturas próximas dos 23ºC em 6 horas, independentemente da temperatura de partida. Duas horas antes de serem colocados na incubadora, a temperatura considerada ideal é de 28ºC. 6.2 Tempo de incubação Como já foi explicado acima, o tempo necessário para a incubação dos ovos de galinha deriva de uma função de vários fatores, de modo que os 21 dias e 4 horas (508 horas) que são definidos como tempo de referência podem ser ligeiramente modificados. 7. FATORES ENVOLVIDOS NO PROCESSO DE INCUBAÇÃO Os resultados obtidos por diferentes incubatórios variam consideravelmente de um para outros. As causas destas variações podem estar relacionadas ao manejo dos reprodutores, fertilidade dos ovos e na própria incubação. Cada empresa que dispõe de incubatórios desenvolve seu próprio método de operação no processo de incubação e seus padrões de qualidade exigidos nos pintainhos são geralmente variáveis. Vários fatores que desempenham um papel importante no processo de incubação já foram descritos ao comentar o manejo do ovo para incubação: uniformidade de pesos, qualidade de casca, armazenamento, etc., por isso é necessário assinalar os parâmetros a controlar na incubadora e no nascedouro. Em suma, podem ser estabelecidas as seguintes condições: Parâmetros Incubadora Nascedouro Temperatura (ºC) 37,5 – 37,7 37,1 Umidade relativa (%) 55 – 60 < 75 Ventilação (m3/minuto/1000 ovos) 0,14 0,23 – 0,28 Nível de CO2 0,3 – 0,4 0,5 – 0,6 Nível de O2 21 21 Número de viagens/dia < 4 – 6 — Tabela 2: Condições aceitas para a incubação dos ovos e nascimento dos pintainhos. 7.1 Manejo com os pintainhos de 1 dia – do incubatório para os galpões Numa sala convenientemente climatizada, 22-25 ºC e 70-80% de umidade, procedem-se as seguintes operações: a) Triagem dos pintainhos - Eliminando os que apresentem anomalias ou tenham pouca viabilidade/vitalidade, problemas nos membros, bico, olhos, se apresentam-se fracos, etc. b) Sexagem dos pintainhos - A separação dos sexos tem um interesse relativo no caso dos criadouros e criadores, mas é uma operação obrigatória quando o que interessa é produzir galinhas de postura ou reprodutores. Para o processo de separação por sexo podem ser utilizados dois sistemas: — Exame da cloaca, seguindo o método de Masui e Hashimoto, no qual é preciso evaginar a cloaca, mediante pressão, e através de uma luz direta observar as protuberâncias que correspondem a cada sexo. A aplicação desta técnica requer um elevado grau de especialização e os erros daí resultantes são insignificantes. Como regra a seguir, quando se aplica esta técnica, é que sua realização deve estar o mais próximo possível ao momento do nascimento. — Mediante o exame de caracteres ligados ao sexo, os caracteres usados para a determinação do sexo nas aves são vários: cores da plumagem (prateados frente a dourados: lisos frente a barrados), mas o mais empregado na atualidade faz referência à comparação dos comprimentos das penas primárias frente às de cobertura (quando as penas primárias são mais longas que as de cobertura, é uma fêmea). Esta técnica também é realizada dentro de poucas horas de nascimento. c) Vacinação dos pintainhos - Durante as primeiras horas de vida, as aves são normalmente alimentadas por via oral (spray) ou por injeção (com vacina manual ou automática). Vacina-se, também, contra várias doenças no primeiro dia de vida dos pintainhos, como a Marek, Gumboro e Bouba Aviária. d) Embalagem - Desenvolvidas as anteriores operações e já dentro da zona de expedição, realiza-se a última triagem e classificação (no caso dos reprodutores e das frangas, o processo pode ter conotações comerciais e podem apresentar-se no mercado várias classes em função da qualidade do produto, que, neste caso, é normalmente o peso), para posteriormente, contar e introduzi-las nas embalagens correspondentes, que podem ser retornáveis ou não. Nas embalagens normalmente introduz-se uma centena de aves (2 por 100) sem custo como regra de compensação às baixas iniciais. Em todas estas operações, o controle da temperatura e da humidade deve ser rigoroso, tal como descrito acima. e) Transporte - Os veículos de transporte devem estar equipados com sistemas auxiliares de calor e arrefecimento que permitam garantir condições estabelecidas, independentemente da situação atmosférica externa. A temperatura do ar fornecido no transporte deve ser de 28ºC quando as frangas estão em embalagens de plástico, enquanto que se forem de papelão a temperatura requerida pode ser bastante inferior (20ºC), segundo o Guia Cobb (1991). A distribuição da carga no transporte (para que a distribuição térmica seja homogénea), o controle contínuo das condições ambientais e os cuidados na condução e na descarga da mercadoria são os últimos aspectos importantes a assinalar. 8. RESUMO E PRIMEIRAS CONCLUSÕES No presente trabalho, tentou-se expor de forma sucinta os aspectos relacionados com a postura dos ovos: irregularidades no início da postura, sequência de postura, intensidade de postura, curva de postura, período de postura e distribuição de oviposições. O controle da iluminação, com seus diferentes programas, tanto em recria como em postura, é objeto de especial desenvolvimento. Uma terceira parte trata da questão da incubação artificial, começando pela higiene e manejo da incubação. É feita especial referência ao manejo dos ovos a serem incubados, e se resume os fatores que controlam o processo de incubação. -/- Emanuel Isaque Cordeiro da Silva – Departamento de Zootecnia da UFRPE. Recife, 2020. -/- REFERÊNCIAS BIBLIOGRÁFICAS -/- ABAD, M. et al. Reproducción e incubación en avicultura. Real Escuela de Avicultura. España, 2003. CAMPOS, Egladson João. Avicultura: razões, fatos e divergências. São Paulo: FEP-MVZ, 2000. COBB. Manual de manejo de frangos Cobb 500: guia de manejo. São Paulo: Cobb-Vantress Brasil, 2001 CONTO, L. A. Avicultura de postura. Avicultura Industrial, v. 1121, n. 95, 2004. ENSMINGER, M. Eugene. Zootecnia general. Buenos Aires: Centro Regional de Ayuda Técnica, 1973. ESTEBAN, José María Lasheras; ROCHA, Luís Oliveira. Manual de avicultura. Lisboa: Litexa, 1951. LANA, Geraldo Roberto Quintão. Avicultura. Recife: Livraria e Editora Rural Ltda, 2000. LOPES, Jackeline Cristina Ost. Caderno Didático de Avicultura (UFRN/UFPI). Cadernos Pronatec Goiás, v. 1, n. 1, p. 74-173, 2018. MENHER, A. La gallina. Zaragoza: Acribia, 1969. MACARI, Marcos. Manejo da incubação. Campinas: Facta, 2003. MALAQUIAS, Jessica Dantas. Manejo de galinhas poedeiras. 2019. Trabalho de Conclusão de Curso. Graduação em Zootecnia, UFRPE. 42f. Brasil. MALAVAZZI, Gilberto. Avicultura: manual prático. São Paulo: NBL Editora, 1983. PARKHURST, Carmen; MOUNTNEY, George J. Poultry meat and egg production. Berlim: Springer Science & Business Media, 2012. ROMANOFF, A.L. The Avian Embryo. New York: The Macmillan Co., 1960. RON JONES. A closer look at incubation. Poultry International. Vol 17. n° 2. ROSE, S. P. et al. Principles of poultry science. Nova Iorque: CAB International, 1997. WHITE, Fred N.; KINNEY, James L. Avian incubation. Science, v. 186, n. 4159, p. 107-115, 1974. (shrink)

Truth in a correspondence sense is objective in two ways. It is objective because the relation of correspondence is objective and because the facts to which truths correspond are objective. Truth about artifacts is problematic because artifacts are intentionally designed to perform certain functions, and so are not entirely mind independent. Against this, it is argued in this paper that truth about artifacts is perfectly objective despite the role played by intention and purpose in the production of artifacts.

This paper brings Sellars’ synoptic vision of philosophy into contact with elements of Quine’s naturalism. The implications of the synoptic view for the method of analysis are presented. Sellars’ metaphysical naturalism is supplemented with the meta-philosophical and epistemological naturalism of Quine. The issue of epistemic normativity is addressed within a naturalistic context. The possibility of a conflict between naturalism and realism is considered.

When people are making certain medical decisions – especially potentially transformative ones – the specter of regret may color their choices. In this paper, I ask: can predicting that we will regret a decision in the future serve any justificatory role in our present decision-making? And if so, what role? While there are many pitfalls to such reasoning, I ultimately conclude that considering future retrospective emotions like regret in our decisionmaking can be both rational and authentic. Rather than indicating that (...) one is about to make a mistake or that there is some underlying value that one already cares about but is overlooking, the prediction that one will regret a decision in the future makes one confront how her present values and priorities may change as a result of her choice in ways she cannot presently anticipate. (shrink)

What is faith? Lara Buchak has done as much as anyone recently to answer our question in a sensible and instructive fashion. As it turns out, her writings reveal two theories of faith, an early one and a later one (or, if you like, two versions of the same theory). In what follows, we aim to do three things. First, we will state and assess Buchak’s early theory, highlighting both its good-making and bad-making features. Second, we will do the same (...) for her later theory, noting improvements on the early one. Third, we will mark various choice points in theorizing about faith, and we will argue for specific choices at those points, culminating in what we regard as a better, alternative theory of faith. Our critical aims, therefore, are ultimately constructive. By theorizing about faith with Lara Buchak, we aim to contribute to our common understanding of what faith is. (shrink)

The New Zealand philosopher, Robert Nola (1940-2022), has died. He was a kind man, a good friend, and a fine philosopher. Here is how I remember him.