Putnam’s vat argument is intended to show that I am not a permanently envatted brain. The argument holds promise as a response to vat scepticism, which depends on the claim that I do not know that I am not a permanently envatted brain. However, there is a widespread idea that the vat argument cannot fulfil this promise, because to employ the argument as a response to vat scepticism I would have to make assumptions about the content of the premises and/or (...) conclusion of the argument that beg the question against the sceptic. In this paper, I show that this idea is mistaken. (shrink)

This chapter has two main sections. In the first section I briefly sketch Immanuel Kant’s moral theory as laid out in his Groundwork of the Metaphysics of Morals (1785). I explain Kant’s claim that morality must be grounded on what he calls a categorical imperative and examine his three formulations of this categorical imperative. In the second section I explain the distinction between “deontological” and “teleological” ethical theories. Kantian ethics is often presented as the paradigm example of a deontological ethical (...) theory, but I question whether Kant’s ethics should be understood as purely deontological. (shrink)

If it works, I can use Putnam’s vat argument to show that I have not always been a brain-in-a-vat. It is widely thought that the vat argument is of no use against closure scepticism – that is, scepticism motivated by arguments that appeal to a closure principle. This is because, even if I can use the vat argument to show that I have not always been a BIV, I cannot use it to show that I was not recently envatted, and (...) it is thought that the claim that I am not justified in thinking that I was not recently envatted is all that the closure sceptic requires. In this paper I first argue that scenarios in which I have been recently envatted are inadequate for the sceptic’s purposes, and so the standard argument that the vat argument is of no use against closure scepticism fails. I then argue that it is not possible to revise the standard argument to meet my objection. I conclude that, if it works, I can use the vat argument as a defence against closure scepticism. (shrink)

The central idea behind this paper is the claim that Kant's moral idea of a realm of ends is modeled on the category of community examined in his theoretical works, and that understanding Kant's account of the category of community helps us understand certain features of the idea of a realm of ends, and in particular the fact that a member of a realm of ends must be an autonomous agent. For Kant the idea of a community is essentially the (...) idea of a multitude of individuals in interaction and in this paper I will attempt to show why Kant believes that only autonomous individuals can interact. (shrink)

On the surface Kant himself seems quite clear about who is deserving of respect: The morally relevant others are all “rational, free beings” or all “human beings.” It is clear, however, that Kant does not want to identify “human beings” in this sense with members of a particular biological species, for he is explicitly open to the idea that there might be non-biologically human rational beings. Thus, for example he is explicitly open to the possibility of extraterrestrial rational beings, who (...) would not be members of the same biological species as us, but who would, presumably be worthy of respect. And it would seem possible that there are members of our biological species who are not “human” in the morally relevant sense. Given these facts, a Kantian needs to give some account of how we are to recognize who or what counts as “human” in the morally relevant sense. I argue that to be “human” in the morally relevant sense is to have the capacity for morality, and that this involves: (a) the capacity to recognize others as ends rather than merely as means and (b) the capacity to enter into relations of ethical community with us. I defend a position I name moral reliabilism. According to this position: (a) We have a quasi-perceptual capacity to directly ascribe moral status to various bits of the world around us. I will argue that this capacity is best thought of in Gibsonian terms as a capacity to pick up on certain types of social affordances; morally relevant others have the capacity to engage in ethical interaction with us, and recognizing the humanity of others involves picking up on this capacity. Those beings who are “human” in the morally relevant sense, then, afford interaction based on mutual respect. (b) We should assume as a postulate of practical reason that this capacity is reliable (although fallible). (shrink)

Event concepts are unstructured atomic concepts that apply to event types. A paradigm example of such an event type would be that of diaper changing, and so a putative example of an atomic event concept would be DADDY'S-CHANGING-MY-DIAPER.1 I will defend two claims about such concepts. First, the conceptual claim that it is in principle possible to possess a concept such as DADDY'S-CHANGING-MY-DIAPER without possessing the concept DIAPER. Second, the empirical claim that we actually possess such concepts and that they (...) play an important role in our cognitive lives. The argument for the empirical claim has the form of an inference to the best explanation and is aimed at those who are already willing to attribute concepts and beliefs to infants and nonhuman animals. Many animals and prelinguistic infants seem capable of re-identifying event-types in the world, and they seem to store information about things happening at particular times and places. My account offers a plausible model of how such organisms are able to do this without attributing linguistically structured mental states to them. And although language allows adults to form linguistically structured mental representations of the world, there is no good reason to think that such structured representations necessarily replace the unstructured ones. There is also no good reason for a philosopher who is willing to explain the behavior of an organism by appealing to atomic concepts of individuals or kinds to not use a similar form of explanation when explaining the organism's capacity to recognize events. -/- We can form empirical concepts of individuals, kinds, properties, event-types, and states of affairs, among other things, and I assume that such concepts function like what François Recanati calls ‘mental files’ or what Ruth Millikan calls ‘substance concepts’ (Recanati 2012; Millikan 1999, 2000, 2017). To possess such a concept one must have a reliable capacity to re-identify the object in question, but this capacity of re-identification does not fix the reference of the concept. Such concepts allow us to collect and utilize useful information about things that we re-encounter in our environment. We can distinguish between a perception-action system and a perception-belief system, and I will argue that empirical concepts, including atomic event concepts, can play a role in both systems. The perception-action system involves the application of concepts in the service of (often skilled) action. We can think of the concept as a mental file containing motor-plans that can be activated once the individual recognizes that they are in a certain situation. In this way, recognizing something (whether an object or an event) as a token of a type, plays a role in guiding immediate action. The perception-belief system, in contrast, allows for the formation of beliefs that can play a role in deliberation and planning and in the formation of expectations. I distinguish between two particular types of belief which I call where-beliefs and when-beliefs, and I argue that we can model the formation of such perceptual beliefs in nonlinguistic animals and human infants in terms of the formation of a link between an empirical concept and a position on a cognitive map. According to the account offered, seemingly complex beliefs, such as a baby's belief that Daddy changed her diaper in the kitchen earlier, will not be linguistically structured. If we think that prelinguistic infants possess such concepts and are able to form such beliefs, it is likely that adults do too. The ability to form such beliefs does not require the capacity for public language, and we can model them in nonlinguistic terms; thus, we have no good reason to think of such beliefs as propositional attitudes. Of course, we can use sentences to refer to such beliefs, and thus it is possible to think of such beliefs as somehow relations to propositions. But it is not clear to me what is gained by this as we have a perfectly good way to think about the structure of such beliefs that does not involve any appeal to language. (shrink)

The conclusion of the McKinsey paradox is that certain contingent claims about the external world are knowable a priori. Almost all of the literature on the paradox assumes that this conclusion is unacceptable, and focuses on finding a way of avoiding it. However, there is no consensus that any of these responses work. In this paper I take a different approach, arguing that the conclusion is acceptable. First, I develop our understanding of what Evans calls merely superficially contingent a priori (...) knowledge, and explain why there is no reason to deny that merely superficially contingent a priori knowledge of the external world is possible. I then argue that, properly understood, the conclusion of the McKinsey paradox is that merely superficially contingent knowledge of certain claims about the external world is possible, and so the conclusion is acceptable. Finally, I respond to the two main arguments that the conclusion of the paradox is unacceptable. (shrink)

A general trend in recent philosophical and empirical work aims to undermine various traditional claims regarding the distinctive nature of self-knowledge. So far, however, this work has not seriously threatened the Cartesian claim that (at least some) self-knowledge is immune to the sort of sceptical problem that seems to afflict our knowledge of the external world. In this paper I carry this trend further by arguing that the Cartesian claim is false. This is done by showing that a familiar sceptical (...) argument that targets my knowledge of the external world can be adapted to target my belief that I exist, along with any of my self-knowledge that I know entails my own existence. Thus, my self-knowledge and my knowledge of the external world are subject to the same sort of sceptical problem. (shrink)

I discuss the role of translatability in philosophical justification. I begin by discussing and defending Thomas Reid’s account of the role that facts about comparative linguistics can play in philosophical justification. Reid believes that common sense offers a reliable but defeasible form of justification. We cannot know by introspection, however, which of our judgments belong to common sense. Judgments of common sense are universal, and so he argues that the strongest evidence that a judgment is a part of common sense (...) is that it is to be found in all languages. For Reid, then, evidence that a certain distinction is to be found in all languages is evidence that the distinction is part of common sense rather than being a common local prejudice. From such a perspective, empirical work in comparative linguistics can play a defeasible justificatory role in philosophical arguments. I contrast Reid’s position with the more radical position of defenders of the Natural Semantic Metalanguage approach, such as Anna Wierzbicka, who argues that only judgments that are translatable into all natural languages are justifiable. I show how such a position is rooted in an implausible view, although one common among cognitive scientists and linguistics, about the nature of concepts, which does not allow for novel concepts. (shrink)

Thomas Reid argues that both perception and memory involve a conception of an object and usually cause a corresponding belief. According to defenders of the constitutive interpretation, such as Rebecca Copenhaver, the belief is constitutive of acts of perception and memory. I instead argue for a causal interpretation: although in normal circumstances perceiving and remembering cause a corresponding belief, the belief is not constitutive of perception or memory. Copenhaver's strongest argument for the constitutive interpretation is that perception essentially represents objects (...) as present, while memory essentially represents objects as past; since such tense markers can only occur within the beliefs, the beliefs must be an essential aspect of perception and memory. I argue, in contrast, that temporal markers are contained in our conceptions of objects, so beliefs do not play an essential role in distinguishing between perception and memory. Such a reading presupposes a “thick” interpretation of what Reid means by a conception, according to which a Reidian conception is a mode of presentation of the object apprehended. (shrink)

There are at least five ‘core’ notions of community found in Kant's works: 1. The scientific notion of interaction. This concept is introduced in the Third Analogy and developed in the Metaphysical Foundations of Natural Science. 2. A metaphysical idea. The idea of a world of individuals (monads) in interaction. This idea was developed in Kant’s precritical period and can be found in his metaphysics lectures. 3. A moral ideal. The idea of a realm of ends. 4. A political ideal. (...) The idea of a juridical community (or community of communities) governed by juridical laws. 5. A theological ideal. What Kant calls ‘the kingdom of heaven’, and which can be thought of as a community of holy beings, or angels. In this paper I focus on the relationship between the first, second and fourth of these notions. My argument is that Kant’s notion of a juridical community governed by juridical laws is modelled on the metaphysical idea of the world. This metaphysical idea of a world is, in turn, modelled on the category of community introduced in the first Critique and developed in his logic lectures. (shrink)

Davidson argues that his version of interpretivism entails that sceptical scenarios are impossible, thus offering a response to any sceptical argument that depends upon the possibility of sceptical scenarios. It has been objected that Davidson’s interpretivism does not entail the impossibility of sceptical scenarios due to the possibility that interpreter and speaker are in a shared state of massive error, and so this response to scepticism fails. In this paper I show that the objection from the possibility of shared error (...) rests on a misunderstanding of Davidson’s interpretivist position. Properly understood, Davidson’s view does entail that sceptical scenarios are impossible. I also give a reason independent of its anti-sceptical implications to prefer Davidson’s interpretivism over the version of interpretivism erroneously attributed to him by those who object to his anti-sceptical argument. (shrink)

Many readers of Kant’s ethical writings take him to be primarily concerned with offering guidelines for action. At the least, they write about Kant as if this were the purpose of his ethical writings. For example, Christine Korsgaard, in her influential article Kant’s Analysis of Obligation: The Argument of Groundwork I, writes that, ‘‘the argument of Groundwork I is an attempt to give what I call a ‘motivational analysis’ of the concept of a right action, in order to discover what (...) that concept applies to, that is, which actions are right.’’ Similar comments are not hard to find in the secondary literature. This, however, is a fundamentally misguided way of reading Kant, since he repeatedly asserts that we do not need to do moral philosophy in order to discover which actions are right. We already know how to behave morally and do not need philosophers to tell us this. ‘‘Common human reason,’’ Kant argues, ‘‘knows very well how to distinguish in every case that comes up what is good and what is evil, what is in conformity to duty or contrary to duty.’’ Because people with pre-philosophical understanding know how to act morally, the purpose of moral philosophy cannot be to provide us with a set of rules for correct behavior. If we take Kant’s claims about common human reason seriously, then his aim in the Groundwork of the Metaphysics of Morals cannot be to discover which actions are right. (shrink)

The ideal of the United Nations was first put forward by Immanuel Kant in his 1795 essay Perpetual Peace. Kant, in the tradition of Locke and Rousseau is a liberal who believes that relations between individuals can either be based upon law and consent or upon force and violence. One way that such the ideal of world peace could be achieved would be through the creation of a single world state, of which every human being was a citizen. Such an (...) ideal was advocated by a number of eighteenth century liberals. Kant, however, rejects this ideal and instead argues that the universal rule of law can be achieved through the establishment a federation of independent states. I examine the relevance of Kant’s arguments today, focusing on two questions: Firstly, as advocates of the rule of law, why advocate a federation of independent nations rather than a single world state. Secondly, is this ideal realizable? Is Kant right to think that republics are natural and are likely to live peacefully with one another? Kant’s arguments on this issue have been taken up again in recent decades by defenders of the theory of the “democratic peace”, the theory that democracies are more likely to live at peace with one another. (shrink)

Kantian ethics today is dominated followers of Rawls, many of them his former students. Following Rawls they interpret Kant as a moral constructivist who defines the good in terms of the reasonable. Such readings give priority to the first formulation of the categorical imperative and argue that the other two formulations are (ontologically or definitionally) dependent upon it. In contrast the aim of my paper will be to show that Kant should be interpreted firstly as a moral idealist and secondly (...) as, it least in a certain sense a particularist who takes morality to involve the exercise of recognitional capacities rather than following principles or rules. In claiming that Kant is a moral idealist we won’t mean to imply that he is an anti-realist, indeed we believe that he is a realist. Instead, by ‘moral idealism’ it is meant the position that maintains that to be moral is to instantiate an ideal. And so understood moral idealism can be seen as offering an alternative to both constructivism and utilitarianism. (shrink)

Kant and Leibniz are interested in explaining how a number of individuals can come together and form a single unified composite substance. Leibniz does not have a convincing account of how this is possible. In his pre-critical writings and in his later metaphysics lectures, Kant is committed to the claim that the idea of a world is the idea of a real whole, and hence is the idea of a composite substance. This metaphysical idea is taken over into his ethical (...) writings and becomes the idea of a realm of ends. I explain why a realm of ends, should be thought of as both a unum per se and as a real whole. A realm of ends is a whole of individuals unified by laws they have given themselves, that is, it is a community of autonomous individuals. Only such a community can be thought of as a composite individual. Such a whole will be real rather than ideal because the source of the unity of the whole is intrinsic to the whole, for what gives unity to the realm are laws and the sources of the laws are the individual members of the whole. It will be a unum per se because both the laws and the individuals constituting the realm are incomplete without one another. If this reading is correct, this requires a fundamental reevaluation of Kant’s notion of autonomy. To be autonomous is not, primarily, to be understood in terms of ruling oneself, but instead must be thought of primarily in terms of being a generative source of laws for an ideal community. (shrink)

In this paper I focus on the work of Sayyid Qutb and in particular his book Milestones, which is often regarded as the Communist Manifesto of Islamic fundamentalism. This paper has four main sections. First I outline Qutb’s political position and in particular examine his advocacy of offensive jihad. In section two I argue that there are a number of tendencies that make his position potentially more liberal that it is often taken to be. I here argue that there are (...) at least six reasons why Qutb’s position is not intrinsically as anti-liberal as it might at first appear. First, many western liberals, influenced by the social contract tradition, regard the legitimacy of their societies as based on popular sovereignty. Qutb, however, regards a society based on popular sovereignty, where law emerges from the will of man rather than the will of God, as a form of tyranny, so it would seem that he is in principle opposed to Western liberal societies. It is not clear, however, that we, or Islamic fundamentalist, need to regard Western liberal societies as based on popular sovereignty, for it is always possible to interpret Western political institutions through the lens of natural law theory, which was one of the main sources of the liberal tradition. In this section I will compare Qutb’s political philosophy with that of Aquinas to illustrate this point and suggest the possibility of secularists and puritan Islamists being able to form an overlapping consensus on the legitimacy of liberal Western societies. Secondly, there is an analogue to the social contract in Qutb’s own position as he believes that legitimate authority requires the free submission of the governed. Thirdly, Qutb is in principle a fallibilist about human reason; this fallibilism extends even to our capacity to interpret divine revelation. Fourthly, Islamic universalism requires that Muslims regard enemies they might be fighting as potential converts. Fifthly, Qutb, like most Sunni fundamentalists, is an implacable enemy of theocracy. And finally, Qutb is a gradualist. In the third section I argue that the real danger for liberal societies from believers in a position like Qutb’s is sociological rather than intrinsic to the ideology – specifically, that there is a danger that such groups may develop in a ‘Leninist’ direction. In the final section I argue that one of the main reasons for this danger is the lack of a consensus in the Islamic world about what it is to be a good, or even a true, Muslim, and that the slow emergence of some sort of consensus will require a vigorous public debate amongst Muslims. Western liberals should welcome such debate rather than fearing such, and should do all they can to ensure that civil society, both in Western societies and in predominantly Islamic societies, is open to such debate. (shrink)

Most business in the Philippines is mostly in the microenterprise. Hence, this research was accomplished in order to assess the effectiveness of financial management practices of microenterprises in Quezon City. The city was selected as the locale of the research since there were various microenterprises built in this location. The respondents were classified according to the number of years in operation of their business, the number of employees, capitalization, and their source of funds. Additionally, the individual profile was also classified (...) into their age, highest educational attainment, and the number of seminars or trainings related to their business that they had attended. The assessment was specified into aspects of financial planning, financial control, and cash management. The result shows that most businesses were newly established and only operating for zero (0) to two (2) years. The result also showed that most of the respondents only had a capitalization of PHP 100,000.00 and they were utilizing their personal savings as a source of funds. Most of them are aged from twenty-one (21) to thirty (30) years with no bachelor’s degrees. They only attended seminars and training less than three (3) times. The result of this study was beneficial to business owners, local government units, government, government agencies, banks, and other financial institutions, academe, and future researchers. (shrink)

In this paper I examine the genesis of Kant’s conception of a realm of ends, arguing that Kant first started to think of morality in terms of striving to be a member of a realm of ends, understood as an ideal community, in the early 1760s, and that he was influenced in this by his encounter with the Swedish mystic Emanuel Swedenborg. In 1766 Kant published Dreams of a Spirit Seer, a commentary on Swedenborg’s magnum opus, Heavenly Secrets. Most commentators (...) take Kant’s attitude towards Swedenborg to have been entirely negative, and argue that, at the most, Kant’s encounter with him had a purely negative impact on Kant’s development, inducing him to reject certain of his early metaphysical positions. I argue, in contrast, that Swedenborg had a positive influence on Kant’s development, particularly on his ethics, for Kant’s conception of a realm of ends is modeled on Swedenborg’s conception of heaven as a community of spirits governed by moral laws. (shrink)

This thesis examines the theoretical foundations of Kant's moral philosophy. I argue that Kant's moral ideal of a kingdom of ends is to be identified with the theoretical idea of a community, and that this idea can be traced back to the category of community introduced in his table of categories. In particular I argue that, for the mature Kant, the only application of the theoretical idea of community is the moral idea of a kingdom of ends, the only way (...) we can conceive of a kingdom of ends is as a political community governed by juridical laws, and the only way we can conceive of a member of a community is as an autonomous agent. To support my interpretation I show how an understanding of Kant's theoretical work on community and interaction helps us understand the motivation behind the theory of property Kant offers in the Metaphysics of Morals. In addition, I trace the development of Kant's ethics back to his reading of Swedenborg in the early 1760s. (shrink)

Color-motion asynchrony (CMA) refers to an apparent lag of direction of motion when a dynamic stimulus changes both color and direction at the same time. The subjective order of simultaneous events, however, is not only perceptual but also subject to illusions during voluntary actions. Self-initiated actions, for example, seem to precede their sensory outcomes following an adaptation to a delay between the action and the sensory feedback. Here, we demonstrate that the extent of the apparent asynchrony can be substantially reduced (...) when direction change is induced by a voluntary key press following a delay adaptation regime. We also show that the reduced color-motion asynchrony effect size following a motor-sensory recalibration is not a result of a change in the onset of perceived direction change relative to that of the color. This is particularly important as it implies, for the first time in the literature, that voluntary action is not only important in forming action-sensory outcome associations but may also act as a binding factor between the two perceptual features of a sensory event. (shrink)

Sacrificial dilemmas such as the trolley problem play an important role in experimental philosophy (x-phi). But it is increasingly argued that, since we are not likely to encounter runaway trolleys in our daily life, the usefulness of such thought experiments for understanding moral judgments in more ecologically valid contexts may be limited. However, similar sacrificial dilemmas are experienced in real life by animal research decision makers. As part of their job, they must make decisions about the suffering, and often the (...) death, of many non-human animals. For this reason, a context-specific investigation of so-called “3R dilemmas” (i.e., dilemmas where there is a conflict between the principles of replacement, reduction, and refinement of the use of animals in research) is essential to improve the situation of both non-human animals and human stakeholders. An approach well suited for such investigation is experimental philosophical bioethics (“bioxphi”), which draws on methods similar to x-phi to probe more realistic, practical scenarios with an eye to informing normative debates and ethical policy. In this article, we argue for a need to investigate 3R dilemmas among professional decision-makers using the tools of bioxphi. In a first step, we define 3R dilemmas and discuss previous investigations of professionals’ attitudes in such cases. In a second step, we show how bioxphi is a promising method to investigate the whys and hows of professional decision-making in 3R dilemmas. In a last step, we provide a bioxphi template for 3R dilemmas, give recommendations on its use, explore the normative relevance of data collected by such means, and discuss important limitations. (shrink)

Kant and the Concept of Community, edited by Charlton Payne and Lucas Thorpe, gathers together some of the best known figures in contemporary Kant scholarship. This fine collection traces Kant’s concept of community from its Precritical roots to its role in The Critique of Pure Reason, before going on to investigate the subsequent transformations it would undergo in Kant’s later works on ethics, religion, history, politics, and aesthetics. With very few exceptions, all of the essays in this collection are (...) interesting and informative, with signature pieces by Béatrice Longuenesse, Paul Guyer, Allen Wood, Onora O’Neill, and Susan Shell. This is a highly recommended collection suitable for advanced undergraduates, graduate students, and professionals. (shrink)

Concerns of moral distress in health care have never been more relevant. In her book, Health Care Ethics Through the Lens of Moral Distress, Kristen Jones-Bonofiglio provides a comprehensive review of the effects of moral distress on providers and health care delivery, while highlighting the complexities of making ethical decisions in practice. Jones-Bonofiglio’s thoroughness and use of interdisciplinary, historical, and cultural scholarship makes this book an excellent introductory resource on moral distress for health care providers and researchers alike.

Erarbeitet von Dominik Balg, Anne Burkard, Henning Franzen, Aenna Frottier, David Lanius, David Löwenstein, Hanna Lucks, Kirsten Meyer, Donata Romizi, Katharina Schulz, Stefanie Thiele und Annett Wienmeister. -/- Die Entwicklung argumentativer Fähigkeiten ist ein zentrales Ziel des Ethik- und Philosophieunterrichts, ja überhaupt ein zentrales Bildungsziel. Wie aber kann das gelingen? In vielen verfügbaren Unterrichtsmaterialien werden argumentative Fähigkeiten eher vorausgesetzt als systematisch gefördert. Auch curriculare Vorgaben bleiben zumeist sehr unspezifisch. Lehrpersonen werden so weitgehend allein gelassen mit der Aufgabe, Lernende beim (...) Erwerb argumentativer Fähigkeiten zu fördern. Die vorliegende Aufgabensammlung soll dazu beitragen, diese Lücke zu schließen. Sie bietet Lehrpersonen reichhaltige Materialien für die spiralcurricular angelegte, systematische Förderung argumentativer Fähigkeit anhand exemplarischer Inhalte. Orientiert an klaren fachlichen Standards finden sich hier Aufgaben auf vier Niveaustufen, jeweils in Verbindung mit übersichtlichen Merkblättern. Die Aufgaben der beiden unteren Niveaustufen lassen sich bereits für jüngere Lernende der Sekundarstufe einsetzen, Aufgaben der obersten Niveaustufe richten sich an Lernende von Abschlussklassen oder der Studieneingangsphase. Für die Hand der Lehrpersonen werden die Aufgaben und Merkblätter durch fachliche und didaktische Kommentare sowie Lösungshinweise ergänzt. (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)

Suppose you can save only one of two groups of people from harm, with one person in one group, and five persons in the other group. Are you obligated to save the greater number? While common sense seems to say ‘yes’, the numbers skeptic says ‘no’. Numbers Skepticism has been partly motivated by the anti-consequentialist thought that the goods, harms and well-being of individual people do not aggregate in any morally significant way. However, even many non-consequentialists think that Numbers Skepticism (...) goes too far in rejecting the claim that you ought to save the greater number. Besides the prima facie implausibility of Numbers Skepticism, Michael Otsuka has developed an intriguing argument against this position. Otsuka argues that Numbers Skepticism, in conjunction with an independently plausible moral principle, leads to inconsistent choices regarding what ought to be done in certain circumstances. This inconsistency in turn provides us with a good reason to reject Numbers Skepticism. Kirsten Meyer offers a notable challenge to Otsuka’s argument. I argue that Meyer’s challenge can be met, and then offer my own reasons for rejecting Otsuka’s argument. In light of these criticisms, I then develop an improved, yet structurally similar argument to Otsuka’s argument. I argue for the slightly different conclusion that the view proposed by John Taurek that ‘the numbers don’t count’ leads to inconsistent choices, which in turn provides us with a good reason to reject Taurek’s position. (shrink)