A number of authors have defended permissivism by appealing to rational supererogation, the thought that some doxastic states might be rationally permissible even though there are other, more rational beliefs available. If this is correct, then there are situations that allow for multiple rational doxastic responses, even if some of those responses are rationally suboptimal. In this paper, I will argue that this is the wrong approach to defending permissivism—there are no doxastic states that are rationally supererogatory. By the lights (...) of contemporary linguistics, ‘rational’ is an absolute gradable adjective, and as such, can only be applied to things that satisfy the top of the scale of rationality. For this reason, it is not possible to believe what is rational while also failing to believe what is rationally optimal. (shrink)

Formal epistemologists often claim that our credences should be representable by a probability function. Complete probabilistic coherence, however, is only possible for ideal agents, raising the question of how this requirement relates to our everyday judgments concerning rationality. One possible answer is that being rational is a contextual matter, that the standards for rationality change along with the situation. Just like who counts as tall changes depending on whether we are considering toddlers or basketball players, perhaps what counts as rational (...) shifts according to whether we are considering ideal agents or creatures more like ourselves. Even though a number of formal epistemologists have endorsed this type of solution, I will argue that there is no way to spell out this contextual account that can make sense of our everyday judgments about rationality. Those who defend probabilistic coherence requirements will need an alternative account of the relationship between real and ideal rationality. (shrink)

Externalists about epistemic justification have long emphasized the connection between truth and justification, with this coupling finding explicit expression in process reliabilism. Process reliabilism, however, faces a number of severe difficulties, leading disenchanted process reliabilists to find a new theoretical home. The conceptual flag under which such epistemologists have preferred to gather is that of dispositions. Just as reliabilism is determined by the frequency of a particular outcome, making it possible to characterize justification in terms of a particular relationship to (...) truth, dispositions are accompanied by concrete, worldly manifestations. By taking true beliefs as the result, not of certain processes but of particular dispositions, these epistemologists have attempted to respond to the numerous obstacles to reliabilism. Yet all this work has proceeded without regard to the wealth of contemporary work on the metaphysics of dispositions, making the new hope premature at best, ill-founded at worst. Combining contemporary dispositional accounts of justification with extant analyses of dispositions reveals that the latter is the case. The structural differences between epistemic justification and dispositions make it clear that not only should process reliabilism be abandoned, but the subsequent appeal to dispositions along with it. (shrink)

James Joyce's article “A Nonpragmatic Vindication of Probabilism” introduced an approach to arguing for credal norms by appealing to the epistemic value of accuracy. The central thought was that credences ought to accurately represent the world, a guiding thought that has gone on to generate an entire research paradigm on the rationality of credences. Recently, a number of epistemologists have begun to apply this same thought to full beliefs, attempting to explain and argue for norms of belief in terms of (...) epistemic value. This paper examines these recent attempts, showing how they interact with work on the accuracy of credences. It then examines how differing judgments about epistemic value give rise to distinct rational requirements for belief, concluding by considering some of the fundamental questions and issues yet to be fully explored. (shrink)

Much work on the sense of agency has focused either on abnormal cases, such as delusions of control, or on simple action tasks in the laboratory. Few studies address the nature of the sense of agency in complex natural settings, or the effect of skill on the sense of agency. Working from 2 case studies of mountain bike riding, we argue that the sense of agency in high-skill individuals incorporates awareness of multiple causal influences on action outcomes. This allows fine-grained (...) differentiation of the contributions of self and external factors to action outcomes. We further argue that the sense of agency incorporates prospective awareness of actions that are possible in a situation and awareness of the limits of control. These forms of sense of agency enable highly flexible, context-sensitive strategic control, and are likely to contribute to high interindividual variability in responses to complex tasks. (shrink)

In this paper, I explore Sally Haslanger’s (2000) proposed approach to modelling gender which she intends to overcome several problems for such a project. I specifically focus on what Haslanger calls the normativity problem, in which definitions meant to overcome oppression only reinforce oppressive norms. I argue that the normativity problem is a serious one for defining gender and that Haslanger does not successfully overcome it with her definitions of man and woman. In §§1 and 2, I offer background for (...) and explain her account of the problem before offering my own formal reconstruction of it as what I call the normativity argument that (a) we ought not marginalise individuals in our defining of social categories, (b) definitions encouraging normative behaviour do this, and (c) any model of gender encourages such behaviour. In §3 I then give an account of her proposed definitions of man and woman along with her theoretical objections to the normativity argument—suggesting that only certain kinds of marginalisation are undesirable within the constraints of a particular feminist project and that her definitions do not encourage normative behaviour. I then offer my responses to her objections in §4, suggesting that her definitions are normative and do marginalise in a way incongruous even with her particular feminist project. Before concluding, I briefly discuss in §5 where my criticisms of Haslanger’s approach to defining gender fit into some existing criticisms, in order to give my position an even clearer shape. This paper concludes in §6 by sketching some possible ways forward in the philosophy of gender responding to this problem. (shrink)

Knowledge implies the presence of a positive relation between a person and a fact. Factual ignorance, on the other hand, implies the absence of some positive relation between a person and a fact. The two most influential views of ignorance hold that what is lacking in cases of factual ignorance is knowledge or true belief, but these accounts fail to explain a number of basic facts about ignorance. In their place, we propose a novel and systematic defense of the view (...) that factual ignorance is the absence of awareness, an account that both comes apart from the dominant views and overcomes their deficiencies. Given the important role that ignorance plays in moral and legal theory and our understanding of various epistemic injustices, a precise and theoretically unproblematic account of the nature of ignorance is important not only for normative epistemology, but also for law, ethics, and applied epistemology. (shrink)

How demanding is the virtuous life? Can virtue exist alongside hints of vice? Is it possible to be virtuous within a vicious society? A line of thinking running through Diogenes and the Stoics is that even a hint of corruption is inimical to virtue, that participating in a vicious society makes it impossible for a person to be virtuous. One response to this difficulty is to claim that virtue is a threshold concept, that context sets a threshold for what is (...) considered virtuous. On this way of thinking, what counts as virtuous in one society may be more demanding than what passes for virtuous in another. This response seems plausible when considering that virtue-theoretic terms like `honest' are gradable adjectives. Many gradable adjectives, like `tall' and `expensive,' have contextual thresholds that shift depending on the situation, and so is tenable that virtue-theoretic adjectives might function with contextual thresholds as well. A major difficulty for this response, however, is that virtue terms are absolute gradable adjectives, a variety of gradable adjectives that do not require a contextual threshold. Absolute gradable adjectives instead draw their truth conditions from their maximal degree, suggesting that Diogenes and the Stoics were correct to think that virtue is incompatible with even a small degree of vice. (shrink)

A number of formal epistemologists have argued that perfect rationality requires probabilistic coherence, a requirement that they often claim applies only to ideal agents. However, in “Rationality as an Absolute Concept,” Roy Sorensen contends that ‘rational’ is an absolute term. Just as Peter Unger argued that being flat requires that a surface be completely free of bumps and blemishes, Sorensen claims that being rational requires being perfectly rational. When we combine these two views, though, they lead to counterintuitive results. If (...) being rational requires being perfectly rational, and only the probabilistically coherent are perfectly rational, then this indicts all ordinary agents as irrational. In this paper, I will attempt to resolve this conflict by arguing that Sorensen is only partly correct. One important sense of ‘rational’, the sanctioning sense of ‘rational’, is an absolute term, but another important sense of ‘rational’, the sense in which someone can have rational capacities, is not. I will, then, show that this distinction has important consequences for theorizing about ideal rationality, developing an account of the relationship between ordinary and ideal rationality. Because the sanctioning sense of ‘rational’ is absolute, it is rationally required to adopt the most rational attitude available, but which attitude is most rational can change depending on whether we are dealing with ideal agents or people more like ourselves. (shrink)

How are justified belief and rational belief related? Some philosophers think that justified belief and rational belief come to the same thing. Others take it that justification is a matter of how well a particular belief is supported by the evidence, while rational belief is a matter of how well a belief coheres with a person’s other beliefs. In this paper, I defend the view that justification is a dimension of rationality, a view that can make sense of both of (...) these conflicting accounts. When it modifies belief, ‘rational’ is a multidimensional adjective, as there are multiple dimensions along which a belief can be rational. I will argue that one of these dimensions is justification, an account that can not only explain why philosophers give diverging theories of the relationship between justified belief and rational belief, but can also reveal why rational belief and justified belief are closely related despite being distinct. (shrink)

Given the significant exculpatory power that ignorance has when it comes to moral, legal, and epistemic transgressions, it is important to have an accurate understanding of the concept of ignorance. According to the Standard View of factual ignorance, a person is ignorant that p whenever they do not know that p, while on the New View, a person is ignorant that p whenever they do not truly believe that p. On their own though, neither of these accounts explains how ignorance (...) can often be a degreed notion—how we can sometimes be slightly ignorant, quite ignorant, or completely ignorant that p. In this paper, I will argue that there is a route for advocates of the Standard View and the New View to accommodate the gradability of ignorance. On the view I defend, ‘ignorant’ picks out everyone that is ignorant to some degree, making it possible that ignorance can be both degreed and characterized as a lack of knowledge or true belief. Even though we can be ignorant to a greater or lesser extent, the only way to avoid being ignorant that p is to know or truly believe. (shrink)

Many political philosophers have held that democracy has epistemic benefits. Most commonly, this case is made by arguing that democracies are better able to track the truth than other political arrangements. Truth, however, is not the only epistemic good that is politically valuable. A number of other epistemic goods – goods including evidence, intellectual virtue, epistemic justice, and empathetic understanding – can also have political value, and in ways that go beyond the value of truth. In this paper, I will (...) survey those who have argued that democracy can be valuable because of these other epistemic benefits, considering (1) the ways in which these epistemic goods can be of political value and (2) the challenges that democracies face in producing them. (shrink)

Inspired by the practice of dialogue in ancient philosophical schools, the Philosophy as a Way of Life (PWOL) Project at the University of Notre Dame has sought to put dialogue back at the center of philosophical pedagogy. Impromptu philosophical dialogue, however, can be challenging for students who are new to philosophy. Anticipating this challenge, the Project has created a series of manuals to help instructors conduct dialogue groups with novice philosophy students. Using these guidelines, we incorporated PWOL-style dialogue groups into (...) our Spring 2021 course “The Philosophy of Race, Class, and Gender” with the hope that, through having conversations about these challenging topics, our students would both be able to practice having philosophical dialogues as well as form their views on race and gender in light of contributions from their diverse peers. This article examines several strategies for how instructors can seek to incorporate similar dialogues into their own introductory classroom. (shrink)

In order to serve their citizens well, democracies must secure a number of epistemic goods. Take the truth, for example. If a democratic government wants to help its impoverished citizens improve their financial position, then elected officials will need to know what policies truly help those living in poverty. Because truth has such an important role in political decision-making, many defenders of democracy have highlighted the ways in which democratic procedures can lead to the truth. But there are also a (...) number of other epistemic goods – goods like evidence, intellectual virtue, epistemic justice, and empathetic understanding – that democracies can benefit from producing as well. In this teaching and learning guide, I chart a course through the literature that considers the importance of truth, along with these other political goods, for the healthy functioning of democracies. (shrink)

We investigate flexibility and problem solving in skilled action. We conducted a field study of mountain bike riding that required a learner rider to cope with major changes in technique and equipment. Our results indicate that relatively inexperienced individuals can be capable of fairly complex 'on-the-fly' problem solving which allows them to cope with new conditions. This problem solving is hard to explain for classical theories of skill because the adjustments are too large to be achieved by automatic mechanisms and (...) too complex and rapid to be achieved by cognitive processes as they are usually understood. A recent theory, Mesh, can explain these results because it posits that skill-specific cognitive abilities develop during skill learning and that control typically involves an interplay between cognitive and automatic mechanisms. Here we develop Mesh further, providing a detailed explanation for these problem solving abilities. We argue that causal representation, metacognitive awareness and other forms of performance awareness combine in the formulation and control of action strategies. We also argue that the structure of control present in this case is inconsistent with Bratman's model of intentions, and that, in the face of high uncertainty and risk, intentions can be much more labile than Bratman recognises. In addition, we found limitations and flaws in problem solving which illuminate the representations involved. Finally, we highlight the crucial role of social and cultural learning in the development of complex skills. (shrink)

Philosophical orthodoxy holds that Thomas Reid is an externalist concerning epistemic justification, characterizing Reid as holding the key to an externalist response to internalism. These externalist accounts of Reid, however, have neglected his work on prejudice, a heretofore unexamined aspect of his epistemology. Reid’s work on prejudice reveals that he is far from an externalist. Despite the views Reid may have inspired, he exemplifies internalism in opting for an accessibility account of justification. For Reid, there are two normative statuses that (...) a belief might satisfy, being blameless and having a just ground. Through reflection, a rational agent is capable of satisfying both of these statuses, making Reid an accessibility internalist about epistemic justification. (shrink)

Aims: Companies that should operate in competitive business environments must be able to sustain competitive responses over time. Making such responses, however, typically necessitates the firm's managerial capacity to constantly integrate its properties, ensuring that they are all matched with changing market needs. Based on the literature of Knowledge Management and Dynamic managerial capabilities, this paper contributes to our understanding by developing an Integrative Managerial Capabilities concept, which refers to “managers’ ability to orchestrate a firm resource base through the processes (...) of search, selection, configuration and deployment to achieve and sustain a firm competitive response”. Integration mechanisms are described which provide a key managerial capability. According to the literature on strategic management, limited past studies research has focused on facets of the firm's integrative capabilities. In the current literature, there is a notable lack of comprehensive insight into how companies actually orchestrate "integrate" resources and principal to achieve sustained success in complex environments. -/- Method/Approach: To answer the research questions, the study employed two data collection strategies: qualitative interviews; “semi-structured interviews”, and an openended survey, “online questionnaire”. -/- Findings: The relationship among managerial integrative capabilities and various levels of a firm's systemic structure, in particular, has never been clearly explained. The research concludes that the incorporation process is highly relevant to the case study examples, and that middle management can be seen to have a substantial effect on company change as a result of top and lower-level management integration. -/- Originality: this study argued that better and faster integration between the three main integrative mechanisms “search and selection, configuration and deployment” should itself be a potential source of sustained competitive respond; and that usually that integration will need to traverse “high, middle, and low managerial levels” of management structure. Implications: we recommend that future research into managerial integration processes, such as particular types of transition programs, be undertaken. (shrink)

The notion that the family is the unit of care for family doctors has been enigmatic and controversial. Yet systems theory and the biopsychosocial model that results when it is imported into medicine make the family system an indispensable and important component of family medicine. The challenge, therefore, is to provide a coherent, plausible account of the role of the family in family practice. Through an extended case presentation and commentary, we elaborate two views of the family in family medicine (...) — treating the patient in the family and treating the family in the patient — and defend both as appropriate foci for care by family doctors. The practical problem that arises when the family is introduced into health care is deciding when to concentrate on the family system. The moral problems that arise concern how extensively doctors may become involved in the personal lives of their patients and families. The patient-centered clinical method provides a strategy for handling both problems. Thus, making the family a focus of care in family medicine can be justified on theoretical, practical, and moral grounds. (shrink)

Do factive mental states come in degrees? If so, what is their underlying structure, and what is their theoretical significance? Many have observed that ‘knows that’ is not a gradable verb and have taken this to be strong evidence that propositional knowledge does not come in degrees. This paper demonstrates that the adjective ‘aware that’ passes all the standard tests of gradability, and thus strongly motivates the idea that it refers to a factive mental state that comes in degrees. We (...) will explore a range of structural questions that have been overlooked in regard to our awareness of facts, showing that the degreed structure of awareness has significant implications for our understanding of knowledge. (shrink)

Nosotres, biólogues, ecologistas y otres profesionales dedicados a proteger la vida, les escribimos con una solicitud urgente. Les pedimos muy comedidamente que su organización o institución emita un comunicado oficial condenando la crisis en curso y abordando los impactos ambientales y humanitarios en Palestina.

What lies behind Aristotle’s declarations that an attribute or feature that is demonstrated to belong to a scientific subject is proper to that subject? The answer is found in APo. 2.8-10, if we understand these chapters as bearing not only on Aristotle theory of definition but also as clarifying the logical structure of demonstration in general. If we identify the basic subjects with what has no different cause, and demonstrable attributes (the kath’ hauta sumbebēkota) with what do have ‘a (...) different cause’, the definitions of demonstrable attributes necessarily have the minor terms of the appropriate demonstrations in their definitions, for which reason the subjects and demonstrable attributes are coextensive. (shrink)

This article examines Gilles Deleuze’s concept of the simulacrum, which Deleuze formulated in the context of his reading of Nietzsche’s project of “overturning Platonism.” The essential Platonic distinction, Deleuze argues, is more profound than the speculative distinction between model and copy, original and image. The deeper, practical distinction moves between two kinds of images or eidolon, for which the Platonic Idea is meant to provide a concrete criterion of selection “Copies” or icons (eikones) are well-grounded claimants to the transcendent Idea, (...) authenticated by their internal resemblance to the Idea, whereas “simulacra” (phantasmata) are like false claimants, built on a dissimilarity and implying an essential perversion or deviation from the Idea. If the goal of Platonism is the triumph of icons over simulacra, the inversion of Platonism would entail an affirmation of the simulacrum as such, which must thus be given its own concept. Deleuze consequently defines the simulacrum in terms of an internal dissimilitude or “disparateness,” which in turn implies a new conception of Ideas, no longer as self-identical qualities (the auto kath’hauto), but rather as constituting a pure concept of difference. An inverted Platonism would necessarily be based on a purely immanent and differential conception of Ideas. Starting from this new conception of the Idea, Deleuze proposes to take up the Platonic project anew, rethinking the fundamental figures of Platonism (selection, repetition, ungrounding, the question-problem complex) on a purely differential basis. In this sense, Deleuze’s inverted Platonism can at the same time be seen as a rejuvenated Platonism and even a completed Platonism. (shrink)

This paper discusses whether there is room for knowledge of causal relations between events in Aristotle's theory of science as developed in the Posterior Analytics. My focus is on Aristotle's analysis of the fourth sense of kath' hauto or per se predication.

Recent critics (Andrew Light, Bryan Norton, Anthony Weston, and Bruce Morito, among others) have argued that we should give up talk of intrinsic value in general and that of nature in particular. While earlier theorists might have overestimated the importance of intrinsic value, these recent critics underestimate its importance. Claims about a thing’s intrinsic value are claims about the distinctive way in which we have reason to care about that thing. If we understand intrinsic value in this manner, we (...) can capture the core claims that environmentalists want to make about nature while avoiding the worries raised by contemporary critics. Since the distinction between intrinsic and extrinsic value plays a critical role in our understanding of the different ways that we do and should care about things, moral psychology, ethical theory in general, and environmental ethics in particular shouldn’t give up on the concept of intrinsic value. (shrink)

In De Anima II.6, Aristotle divides the objects of perception into three kinds: “special perceptibles" (idia aisthêta) such as colours, sounds and flavours, which can be perceived in their own right by only one sense; “common perceptibles" (koina aisthêta) such as shapes, sizes and movements, which can be perceived in their own right by multiple senses; and “incidental perceptibles,” such as the son of Diares, which can be perceived only “incidentally” (kata sumbebêkos). In this paper, I examine this division of (...) perceptibles and consider what it amounts to. First, I argue that Aristotle’s distinction between perceiving something in its own right (kath' hauto) and perceiving it incidentally marks a causal distinction: what is perceived in its own right causes perception as such, whereas what is perceived incidentally coincides with what is perceived in its own right. Second, I argue that for Aristotle special perceptibles, unlike common perceptibles, belong to homogeneous bodies on account of their chemical composition. Finally, I explain the primacy Aristotle assigns to special perceptibles and his claim that perception of them alone is free from error. I conclude with some brief remarks on Aristotle and the primary/secondary quality distinction. (shrink)

How do we prepare engineering students to make ethical and responsible decisions in their professional work? This paper presents an approach that enhances engineering students’ engagement with ethical reasoning by simulating decision-making in a complex scenario. The approach has two principal inspirations. The first is Anthony Weston’s scenario-based teaching. Weston’s concept of a scenario is a situation that changes in response to choices made by participants, according to an inner logic. Scenarios can dynamically explore open-ended complex problems without (...) imposing predetermined results, allowing students to apply their ethical reasoning in a more realistic fashion. The second inspiration is Thi Nguyen’s theory of games. According to Nguyen, games are the “art of agency,” meaning that they provide a structure under which some result is agreed to be valuable, along with prescribed ways of achieving that result, in a relatively low-stakes and temporary social arrangement. By playing many games, Nguyen argues, we can develop a “library of agency,” that is to say, a set of values and means to achieving them that can inform how we make high-stakes decisions in real life. Engaging with carefully designed game scenarios, then, can enable students to practice making ethical decisions within a structured framework, which unfolds in response to their choices, while their decisions are driven by some defined goal. This roleplaying game–based approach thus allows students to build their own ethical libraries of agency, in preparation for professional decision-making. The approach is illustrated using a specific example recently deployed in a seminar on engineered living materials (building materials that incorporate living tissues). The scenario uses techniques from tabletop roleplaying games (e.g. Dungeons & Dragons) for outcome resolution, adventure design, and character creation. Through the game, students practice making difficult decisions in a humanitarian context. (shrink)

Comparative religion scholar Thomas Berry’s influential concept of “Earth jurisprudence” has been helpfully elaborated in three principal books. My first section identifies four of their common themes, deriving therefrom an implicit narrative: (1) the basis of ecology is autopoiesis, which (2) originally generated human communities and Indigenous vernacular laws, which were (3) later reasserted by forest defenders who fought to create the Magna Carta’s “Charter of the Forest,” which is (4) now championed globally by the Indian physicist and eco-activist Vandana (...) Shiva’s Earth Democracy movement. My next three sections identify mutually exclusive elements of the three books, deriving the following alternative narrative: self-conscious new dancing rituals (Cullinan) could empower an historically informed reconstruction of private property (Burdon) via commons-based vernacular law (Weston and Bollier). And my conclusion offers one template for such a strategy, namely a new environmental variation on my dancing-poetic conception of legal justice, christened “emerald star-law.”. (shrink)

The present study aims at understanding how Ethica Nicomachea V.6 relates to its preceding chapters, V.1-5. On the one hand, the interpreter wonders for what purpose Aristotle introduces a topic named ‘the civic just’ (to politikon dikaion) in V.6, since V.1-5 treats extensively of matters of justice in the city. On the other hand, the same text posits that there is a certain ‘just without qualification’ (to haplōs dikaion), which may or may not be the civic just itself; compared to (...) the just without qualification, other forms of just are so by similitude (kath’homoiteta). In attempting to clear the confusion around those two points, the present study proposes the following: (1) the civic just is the just without qualification insofar as it is the primordial form of the just, in which only humans who are cumulatively free, equals and self-sufficient have a share; (2) the description of the civic just recapitulates several aspects of the discussions of justice in V.1-5 – the laws, the kinds of equality, rule, the legal suit - because the civic just encompasses all the forms of just (dikaion) related to the virtues of universal justice (V.1) and partial justice (V.2-5); (3) the expression to politikon dikaion is introduced in V.6 in order to contrast everything treated in V.1-5 with the domestic just, to oikonomikon dikaion, mentioned for the first time in V.6; (4) the forms of the domestic just are just only by similitude with the civic just because justice loses density outside the civic sphere, a situation which can be explained by the shortcomings Aristotle ascribes to women, children and slaves in EN V.6 (lack either of freedom or equality or yet self-sufficiency) as well as in Politica I (varying degrees of defective deliberation and virtue). (shrink)

In this Précis, I provide an overview of my Monograph Knowing and Checking: An Epistemological Investigation (Melchior 2019), which is subject to a book symposium organized by the University of Maribor. This volume in Acta Analytica contains contributions by Peter Baumann, Kelly Becker, Marian David, Nenad Miščević, Robert Weston Siscoe, and Danilo Šuster along with my replies.

This volume contains new and original papers on Martin Heidegger's complex relation to Friedrich Nietzsche's philosophy. The authors not only critically discuss the many aspects of Heidegger's reading of Nietzsche, they also interpret Heidegger's thought from a Nietzschean perspective. Here is presented for the first time an overview of not only Heidegger's and Nietzsche's philosophy but also an overview of what is alive - and dead - in their thinking. Many authors through a reading of Heidegger and Nietzsche deal with (...) current issues such as technology, ecology, and politics. This volume is of interest for everyone interested in Heidegger's and Nietzsche's thought. Contributors include: Babette Babich, Charles Bambach, Robert Bernasconi, Virgilio Cesarone, Stuart Elden, Michael Eldred, Markus Enders, Charles Feitosa, Véronique Fóti, Luanne T. Frank, Jeffery Kinlaw, Theodore Kisiel, William D. Melaney, Eric Sean Nelson, Abraham Olivier, Friederike Rese, Karlheinz Ruhstorfer, Harald Seubert, Robert Sinnerbrink, Robert Switzer, Jorge Uscatescu Barrón, Nancy A. Weston, Dale Wilkerson, Angel Xolocotzi, Jens Zimmermann. (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)

In this paper, I consider the use of mathematical results in philosophical arguments arriving at conclusions with non-mathematical content, with the view that in general such usage requires additional justification. As a cautionary example, I examine Kreisel’s arguments that the Continuum Hypothesis is determined by the axioms of Zermelo-Fraenkel set theory, and interpret Weston’s 1976 reply as showing that Kreisel fails to provide sufficient justification for the use of his main technical result. If we take the perspective that mathematical (...) results are used in the context of a modelling of something not necessarily mathematical, then the situation is clarified somewhat, and the procedure for arriving at justification for the use of such results becomes clear. I give an example of a particularly strong form this justification might take, using the idea of formalism independence due to Gödel and Kennedy. (shrink)