Prior Analytics by the Greek philosopher Aristotle (384 – 322 BCE) and Laws of Thought by the English mathematician George Boole (1815 – 1864) are the two most important surviving original logical works from before the advent of modern logic. This article has a single goal: to compare Aristotle’s system with the system that Boole constructed over twenty-two centuries later intending to extend and perfect what Aristotle had started. This comparison merits an article itself. Accordingly, this article (...) does not discuss many other historically and philosophically important aspects of Boole’s book, e.g. his confused attempt to apply differential calculus to logic, his misguided effort to make his system of ‘class logic’ serve as a kind of ‘truth-functional logic’, his now almost forgotten foray into probability theory, or his blindness to the fact that a truth-functional combination of equations that follows from a given truth-functional combination of equations need not follow truth-functionally. One of the main conclusions is that Boole’s contribution widened logic and changed its nature to such an extent that he fully deserves to share with Aristotle the status of being a founding figure in logic. By setting forth in clear and systematic fashion the basic methods for establishing validity and for establishing invalidity, Aristotle became the founder of logic as formal epistemology. By making the first unmistakable steps toward opening logic to the study of ‘laws of thought’—tautologies and laws such as excluded middle and non-contradiction—Boole became the founder of logic as formal ontology. (shrink)

For Aristotle, demonstrative knowledge is the result of what he calls ‘intellectual learning’, a process in which the knowledge of a conclusion depends on previous knowledge of the premises. Since demonstrations are ultimately based on indemonstrable principles (the knowledge of which is called ‘νοῦς’), Aristotle is often described as advancing a foundationalist doctrine. Without disputing the nomenclature, I shall attempt to show that Aristotle’s ‘foundationalism’ should not be taken as a rationalist theory of epistemic justification, as if (...) the first principles of science could be known as such independently of their explanatory connections to demonstrable propositions. I shall argue that knowing first principles as such involves knowing them as explanatory of other scientific propositions. I shall then explain in which way noetic and demonstrative knowledge are in a sense interdependent cognitive states – even though νοῦς remains distinct from (and, in Aristotle’s words, more ‘accurate’ than) demonstrative knowledge. (shrink)

Demonstrative logic, the study of demonstration as opposed to persuasion, is the subject of Aristotle's two-volume Analytics. Many examples are geometrical. Demonstration produces knowledge (of the truth of propositions). Persuasion merely produces opinion. Aristotle presented a general truth-and-consequence conception of demonstration meant to apply to all demonstrations. According to him, a demonstration, which normally proves a conclusion not previously known to be true, is an extended argumentation beginning with premises known to be truths and containing a chain of (...) reasoning showing by deductively evident steps that its conclusion is a consequence of its premises. In particular, a demonstration is a deduction whose premises are known to be true. Aristotle's general theory of demonstration required a prior general theory of deduction presented in the Prior Analytics. His general immediate-deduction-chaining conception of deduction was meant to apply to all deductions. According to him, any deduction that is not immediately evident is an extended argumentation that involves a chaining of intermediate immediately evident steps that shows its final conclusion to follow logically from its premises. To illustrate his general theory of deduction, he presented an ingeniously simple and mathematically precise special case traditionally known as the categorical syllogistic. (shrink)

According to Aristotle, the medical art aims at health, which is a virtue of the body, and does so in an unlimited way. Consequently, medicine does not determine the extent to which health should be pursued, and “mental health” falls under medicine only via pros hen predication. Because medicine is inherently oriented to its end, it produces health in accordance with its nature and disease contrary to its nature—even when disease is good for the patient. Aristotle’s politician understands (...) that this inherent orientation can be systematically distorted, and so would see the need for something like the Hippocratic Oath. (shrink)

Aristotle’s theory of human happiness in the Nicomachean Ethics explicitly depends on the claim that contemplation (theôria) is peculiar to human beings, whether it is our function or only part of it. But there is a notorious problem: Aristotle says that divine beings also contemplate. Various solutions have been proposed, but each has difficulties. Drawing on an analysis of what divine contemplation involves according to Aristotle, I identify an assumption common to all of these proposals and argue (...) for rejecting it. This allows a straightforward solution to the problem and there is evidence that Aristotle would have adopted it. (shrink)

Aristotle is said to have held that any kind of actual infinity is impossible. I argue that he was a finitist (or "potentialist") about _magnitude_, but not about _plurality_. He did not deny that there are, or can be, infinitely many things in actuality. If this is right, then it has implications for Aristotle's views about the metaphysics of parts and points.

Aristotle holds that individual substances are ontologically independent from nonsubstances and universal substances but that non-substances and universal substances are ontologically dependent on substances. There is then an asymmetry between individual substances and other kinds of beings with respect to ontological dependence. Under what could plausibly be called the standard interpretation, the ontological independence ascribed to individual substances and denied of non-substances and universal substances is a capacity for independent existence. There is, however, a tension between this interpretation and (...) the asymmetry between individual substances and the other kinds of entities with respect to ontological independence. I will propose an alternative interpretation: to weaken the relevant notion of ontological independence from a capacity for independent existence to the independent possession of a certain ontological status. (shrink)

Aristotle tells us that contemplation is the most self-sufficient form of virtuous activity: we can contemplate alone, and with minimal resources, while moral virtues like courage require other individuals to be courageous towards, or courageous with. This is hard to square with the rest of his discussion of self-sufficiency in the Ethics: Aristotle doesn't generally seek to minimize the number of resources necessary for a flourishing human life, and seems happy to grant that such a life will be (...) self-sufficient despite requiring a lot of external goods. In this paper I develop an interpretation of self-sufficiency as a form of independence from external contributors to our activity, and argue that this interpretation accounts both for Aristotle's views on contemplation and for the role self-sufficiency plays in his broader account of human happiness. (shrink)

Aristotle's cognitive ideal is a form of understanding that requires a sophisticated grasp of scientific first principles. At the end of the Analytics, Aristotle tells us that we learn these principles by induction. But on the whole, commentators have found this an implausible claim: induction seems far too basic a process to yield the sort of knowledge Aristotle's account requires. In this paper I argue that this criticism is misguided. I defend a broader reading of Aristotelian induction, (...) on which there's good sense to be made of the claim that we come to grasp first principles inductively, and show that this reading is a natural one given Aristotle's broader views on scientific learning. (shrink)

This presentation of Aristotle's natural deduction system supplements earlier presentations and gives more historical evidence. Some fine-tunings resulted from conversations with Timothy Smiley, Charles Kahn, Josiah Gould, John Kearns,John Glanvillle, and William Parry.The criticism of Aristotle's theory of propositions found at the end of this 1974 presentation was retracted in Corcoran's 2009 HPL article "Aristotle's demonstrative logic".

Virtue theories of argumentation (VTA) emphasize the roles arguers play in the conduct and evaluation of arguments, and lay particular stress on arguers’ acquired dispositions of character, that is, virtues and vices. The inspiration for VTA lies in virtue epistemology and virtue ethics, the latter being a modern revival of Aristotle’s ethics. Aristotle is also, of course, the father of Western logic and argumentation. This paper asks to what degree Aristotle may thereby be claimed as a forefather (...) by VTA. (shrink)

Aristotle analyses a large range of objects as composites of matter and form. But how exactly should we understand the relation between the matter and form of a composite? Some commentators have argued that forms themselves are somehow material, that is, forms are impure. Others have denied that claim and argued for the purity of forms. In this paper, I develop a new purist interpretation of Metaphysics Z.10-11, a text central to the debate, which I call 'hierarchical purism'. I (...) argue that hierarchical purism can overcome the difficulties faced by previous versions of purism as well as by impurism. Roughly, on hierarchical purism, each composite can be considered and defined in two different ways: From the perspective of metaphysics, composites are considered only insofar as they have forms and defined purely formally. From the perspective of physics, composites are considered insofar as they have forms and matter and defined with reference to both. Moreover, while the metaphysical definition is a definition in the strict sense of 'definition', the physical definition is a definition in a loose sense. Analogous points hold for intelligible composites and geometry. Finally, neither sort of definitional practice implies that, for Aristotle, forms are impure. (shrink)

Aristotle’s discussions of natural slavery, ‘barbarian kingship’, and the natural characteristics of barbarians or non-Greeks are usually read as calling into question the intellectual, ethical, and political accomplishments of non-Greeks. Such accounts of non-Greek inferiority or inability to self-govern also appear to presuppose a climatic or environmental account that on the whole would imply severe limitations on the possibility of political flourishing for peoples living outside the Greek Mediterranean basin. In light of such accounts, it is somewhat astounding to (...) find Aristotle praising the social and political institutions of Carthage within his discussion of the best constitution in the second book of the Politics. In the 4th century BCE, Carthage (modern day Tunis) was a Phoenician commercial empire that culturally and linguistically was Semitic and clearly non-Greek. That Aristotle contrasts Carthage, a non-Greek polis, favorably with both Sparta and Crete undermines both the claim that Aristotle embraced a categorical opposition between Greeks and non-Greeks and the claim that he was dismissive of the achievements of non-Greeks. (shrink)

I argue that a study of the Nicomachean Ethics and of the Parva Naturalia shows that Aristotle had a notion of attention. This notion captures the common aspects of apparently different phenomena like perceiving something vividly, being distracted by a loud sound or by a musical piece, focusing on a geometrical problem. For Aristotle, these phenomena involve a specific selectivity that is the outcome of the competition between different cognitive stimuli. This selectivity is attention. I argue that (...) class='Hi'>Aristotle studied the common aspects of the physiological processes at the basis of attention and its connection with pleasure. His notion can explain perceptual attention and intellectual attention as voluntary or involuntary phenomena. In addition, it sheds light on how attention and enjoyment can enhance our cognitive activities. (shrink)

Aristotle sometimes claims that the perception of special perceptibles by their proper sense is unerring. This claim is striking, since it might seem that we quite often misperceive things like colours, sounds and smells. Aristotle also claims that the perception of common perceptibles is more prone to error than the perception of special perceptibles. This is puzzling in its own right, and also places constraints on the interpretation of. I argue that reading Alexander of Aphrodisias on perceptual error (...) can help to make good sense of both of Aristotle’s claims. (shrink)

This paper examines Aristotle’s analysis of unenacted capacities to show the role they play in his discovery of the concept of actuality. I first argue that Aristotle begins Metaphysics IX by focusing on active and passive capacities, after which I discuss Aristotle’s confrontation with the Megarians, the philosophers who maintain that a capacity is present only insofar as it is being enacted. Using Heidegger’s interpretation as a guide, I show that Aristotle’s rejection of the Megarian position (...) leads him to propose that presence cannot be confined to activity. I also argue that this provides the context for Aristotle to realize that the relation between capacity and activity can be generalized as the relation between two ways of being. (shrink)

It is widely agreed that Aristotle holds that the best moral education involves habituation in the proper pleasures of virtuous action. But it is rarely acknowledged that Aristotle repeatedly emphasizes the social and political sources of good habits, and strongly suggests that the correct law‐ordained education in proper pleasures is very rare or non‐existent. A careful look at the Nicomachean Ethics along with parallel discussions in the Eudemian Ethics and Politics suggests that Aristotle divided public moral education (...) or law‐ordained habituation into two types. One type is a defective form practiced by the Spartans, producing civic courage and similar defective virtue‐ like states motivated by external incentives. By contrast Aristotle endorses the law‐ordained musical education described in Politics 8. The chapter argues that Aristotle considers the well‐habituated state of proper pleasures in virtue to be best cultivated by this kind of musical education; and that this explains both his emphasis on good laws and on their scarcity. (shrink)

In this paper, I argue that the widely held view that Aristotle's vicious agent is a principled follower of a wrong conception of the good whose soul, just like the soul of the virtuous agent, is marked by harmony between his reason and non-rational desires is an exegetical mistake. Rather, Aristotle holds – consistently and throughout the Nicomachean Ethics – that the vicious agent lacks any real principles of action and that his soul lacks unity and harmony even (...) more than the soul of the uncontrolled agent. (shrink)

In what ways and how far does virtue shield someone against suffering evils? In other words, how do non-moral evils affect the lives of virtuous people and to what extent can someone endure evils while staying happy? The central purpose of this chapter is to answer these questions by exploring what Aristotle has to say about the effects of evils in human well-being in general and his treatment of extreme misfortunes.

The goal of this paper is to present a new reconstruction of Aristotle's assertoric logic as he develops it in Prior Analytics, A1-7. This reconstruction will be much closer to Aristotle's original...

The paper discusses the active part in the process of perceiving, usually expressed by the Greek word krinein. It is argued that krinein in one of its uses means "to judge" in the sense of judging a case, i. e. deciding it. It is not used for making statements. A second meaning of the Greek word is that of discerning or discriminating, and it is this meaning that plays a central part in Aristotle's theory of perception.

This paper sets out to evaluate the claim that Aristotle’s Assertoric Syllogistic is a relevance logic or shows significant similarities with it. I prepare the grounds for a meaningful comparison by extracting the notion of relevance employed in the most influential work on modern relevance logic, Anderson and Belnap’s Entailment. This notion is characterized by two conditions imposed on the concept of validity: first, that some meaning content is shared between the premises and the conclusion, and second, that the (...) premises of a proof are actually used to derive the conclusion. Turning to Aristotle’s Prior Analytics, I argue that there is evidence that Aristotle’s Assertoric Syllogistic satisfies both conditions. Moreover, Aristotle at one point explicitly addresses the potential harmfulness of syllogisms with unused premises. Here, I argue that Aristotle’s analysis allows for a rejection of such syllogisms on formal grounds established in the foregoing parts of the Prior Analytics. In a final section I consider the view that Aristotle distinguished between validity on the one hand and syllogistic validity on the other. Following this line of reasoning, Aristotle’s logic might not be a relevance logic, since relevance is part of syllogistic validity and not, as modern relevance logic demands, of general validity. I argue that the reasons to reject this view are more compelling than the reasons to accept it and that we can, cautiously, uphold the result that Aristotle’s logic is a relevance logic. (shrink)

Many philosophers working on virtue theory have resisted the idea that the virtues are practical skills, apparently following Aristotle’s resistance to that idea. Bucking the trend, Matt Stichter defends a strong version of this idea in The Skillfulness of Virtue by marshaling a wide range of conceptual and empirical arguments to argue that the moral virtues are robust skills involving the cognitive-conative unification of Aristotelian phronêsis (‘practical intelligence’). Here I argue that Aristotle overlooks a more delimited kind of (...) practical intelligence, strongly analogous to his own account of phronêsis, that unifies complex forms of expertise such as medicine or even high-level sports. Insofar as the skill model of virtue is compelling, it must draw on a robust conception of practical expertise (technê) like the one developed here rather than the ordinary, anemic conception of practical skills. (shrink)

Although there is much scholarship on Aristotle’s account of friendship (φιλία), almost all of it has focused on inter-personal relationships between human animals. Nonetheless, in both Aristotle’s ethical and zoological writings, he documents the intra- and inter-species friendship between many kinds of animals, including between human and non-human animals. Such non-human animal friendships establish both an indirect basis for establishing moral ties between humans and non-human animals (insofar as we respect their capacity to love and befriend others) and (...) a direct basis for establishing such ties (insofar as Aristotle provides a framework for thinking about utility and pleasure friendships between human and non-human animals). My paper defends Aristotle’s limitation of inter-species friendships to only utility and pleasure friendships and responds to scholars who claim that Aristotle recognizes no moral ties between human and non-human animals. (shrink)

In Nicomachean Ethics X.5, Aristotle gives a series of arguments for the claim that pleasures differ from one another in kind in accordance with the differences in kind among the activities they arise in connection with. I develop an interpretation of these arguments based on an interpretation of his theory of pleasure (which I have defended elsewhere) according to which pleasure is the perfection of perfect activity. In the course of developing this interpretation, I reconstruct Aristotle’s phenomenology of (...) pleasure, arguing that while he denies that all pleasures share any given phenomenal element, he does think that all pleasures have a common phenomenal structure. Finally, I argue that Aristotle’s view that pleasures differ in kind does not imply that they cannot be compared in pleasantness. (shrink)

I argue that, for Aristotle, virtue of character is a state of the non-rational part of the soul that makes one prone to making and acting on decisions in virtue of that part’s standing in the right relation to (correct) reason, namely, a relation that qualifies the agent as a true self-lover. In effect, this central feature of virtue of character is nothing else than love of practical wisdom. As I argue, it not only explains how reason can hold (...) direct authority over non-rational desires but also why Aristotle defines virtue of character as hexis prohairetikē. (shrink)

This paper is on Aristotle's conception of the continuum. It is argued that although Aristotle did not have the modern conception of real numbers, his account of the continuum does mirror the topology of the real number continuum in modern mathematics especially as seen in the work of Georg Cantor. Some differences are noted, particularly as regards Aristotle's conception of number and the modern conception of real numbers. The issue of whether Aristotle had the notion of (...) open versus closed intervals is discussed. Finally, it is suggested that one reason there is a common structure between Aristotle's account of the continuum and that found in Cantor's definition of the real number continuum is that our intuitions about the continuum have their source in the experience of the real spatiotemporal world. A plea is made to consider Aristotle's abstractionist philosophy of mathematics anew. (shrink)

This book investigates what change is, according to Aristotle, and how it affects his conception of being. Mark Sentesy argues that change leads Aristotle to develop first-order metaphysical concepts such as matter, potency, actuality, sources of being, and the teleology of emerging things. He shows that Aristotle’s distinctive ontological claim—that being is inescapably diverse in kind—is anchored in his argument for the existence of change. -/- Aristotle may be the only thinker to have given a noncircular (...) definition of change. When he gave this definition, arguing that change is real was a losing proposition. To show that it exists, he had to rework the way philosophers understood reality. His groundbreaking analysis of change has long been interpreted through a Platonist lens, however, in which being is conceived as unchanging. Offering a comprehensive reexamination of the relationship between change and being in Aristotle, Sentesy makes an important contribution to scholarship on Aristotle, ancient philosophy, the history and philosophy of science, and metaphysics. (shrink)

In Metaphysics Z.6, Aristotle argues that each substance is the same as its essence. In this paper, I defend an identity reading of that claim. First, I provide a general argument for the identity reading, based on Aristotle’s account of sameness in number and identity. Second, I respond to the recent charge that the identity reading is incoherent, by arguing that the claim in Z.6 is restricted to primary substances and hence to forms.

In the De Anima, Aristotle claims that the five senses are infallible about their proper objects. I contend that this claim means that sight is infallible about its proper object in its most specific form, i. e. sight is infallible about red or green and not merely about color in general. This robust claim is justified by Aristotle’s teleological principle that nature does nothing in vain. Additionally, drawing on Aristotle’s comparison of perception and one’s understanding of the (...) essences, I defend a conception of the senses in which the structure of their contents is simple rather than predicative and show how this coheres better with the rest of my interpretation. (shrink)

There are several passages in the Metaphysics where Aristotle explains ontological priority in terms of ontological dependence, but there are others where he seems to adopt a teleological conception of ontological priority. It is sometimes maintained that the latter priority too must be construed in terms of the former, or that the priorities in question are not both endorsed (or simultaneously endorsed) by Aristotle. The goal of this paper is to show otherwise; I argue that what is at (...) issue are two distinct priorities that Aristotle simultaneously endorses. (shrink)

For Aristotle, human cognition has a lot in common both with non-human animal cognition and with divine cognition. With non-human animals, humans share a non-rational part of the soul and non-rational cognitive faculties (DA 427b6–14, NE 1102b29 and EE 1219b24–6). With gods, humans share a rational part of the soul and rational cognitive faculties (NE 1177b17– 1178a8). The rational part and the non-rational part of the soul, however, coexist and cooperate only in human souls (NE 1102b26–9, EE 1219b28–31). In (...) this chapter, I show that a study of this cooperation helps to uncover some distinctive aspects of human cognition and desire. (shrink)

This paper examines Aristotle’s vocabulary of pain, that is the differences and relations of the concepts of pain expressed by synonyms in the same semantic field. It investigates what is particularly Aristotelian in the selection of the pain-words in comparison with earlier authors and specifies the special semantic scope of each word-cluster. The result not only aims to pin down the exact way these terms converge with and diverge from each other, but also serves as a basis for further (...) understanding Aristotle’s philosophical conception of pain. (shrink)

how does one inquire into the truth of first principles? Where does one begin when deciding where to begin? Aristotle recognizes a series of difficulties when it comes to understanding the starting points of a scientific or philosophical system, and contemporary scholars have encountered their own difficulties in understanding his response. I will argue that Aristotle was aware of a Platonic solution that can help us uncover his own attitude toward the problem.Aristotle's central problem with first principles (...) arises from the fact that they cannot be demonstrated in the same way as other propositions. Since demonstrations proceed from prior and better-known principles, if the principles themselves were in need of... (shrink)

A generally ignored feature of Aristotle’s famous function argument is its reliance on the claim that practitioners of the crafts (technai) have functions: but this claim does important work. Aristotle is pointing to the fact that we judge everyday rational agency and agents by norms which are independent of their contingent desires: a good doctor is not just one who happens to achieve his personal goals through his work. But, Aristotle argues, such norms can only be binding (...) on individuals if human rational agency as such is governed by objective teleological norms.
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In this paper I explore Aristotle’s views on natural kinds and the compatibility of pluralism and realism, a topic that has generated considerable interest among contemporary philosophers. I argue that, when it came to zoology, Aristotle denied that there is only one way of organizing the diversity of the living world into natural kinds that will yield a single, unified system of classification. Instead, living things can be grouped and regrouped into various cross-cutting kinds on the basis of (...) objective similarities and differences in ways that subserve the explanatory context. Since the explanatory aims of zoology are diverse and variegated, the kinds it recognizes must be equally diverse and variegated. At the same time, there are certain constraints on which kinds can be selected. And those constraints derive more from the causal structure of the world than from the proclivities of the classifier (hence the realism). This distinguishes Aristotle’s version of pluralistic realism from those contemporary versions (like Dupré’s “promiscuous realism”) that treat all or most classifications of a given domain as equally legitimate and not just a sub-set of kinds recognized by the science that studies it. By contrast, Aristotle privileges scientifically important kinds on the basis of their role in causal investigations. On this picture natural kinds are those kinds with the sort of causal structure that allows them to enter into scientific explanations. In the final section I argue that Aristotle’s zoology should remain of interest to philosophers and biologists alike insofar as it combines a pluralistic form of realism with a rank-free approach to classification. (shrink)

The paper defends three claims about Aristotle’s theory of uncontrolled actions (akrasia) in NE 7.3. First, I argue that the first part of NE 7.3 contains the description of the overall state of mind of the agent while she acts without control. Aristotle’s solution to the problem of uncontrolled action lies in the analogy between the uncontrolled agent and people who are drunk, mad, or asleep. This analogy is interpreted as meaning that the uncontrolled agent, while acting without (...) control, is still in possession of her knowledge but she is unable to use it as knowledge due to the temporary disablement of her reason by appetite. Due to this disablement, the uncontrolled agent is temporarily unable to be motivated to act by her knowledge and acts merely on her appetite. Second, I argue that the second part of NE 7.3 provides an analysis of the particular mental state from which the uncontrolled action issues. Its central passage is a description of the uncontrolled agent’s state of mind before the uncontrolled action and not, as it has been traditionally understood, a description of her state of mind during the uncontrolled action. Third, I argue that, on Aristotle’s view, the transition from the state before the uncontrolled action to the state in which the agent already acts without control does not involve any psychological state that would constitute the agent’s choice to abandon her decision and give in to her desires but proceeds on a purely physiological level. (shrink)

Aristotle, De Anima: Translation, Introduction, and Commentary. By Shields Christopher.

The sense of smell occupies a peculiar intermediate position within Aristotle's theory of sense perception: odours, like colours and sounds, are perceived at a distance through an external medium of air or water; yet in their nature they are intimately related to flavours, the proper objects of taste, which for Aristotle is a form of touch. In this paper, I examine Aristotle's claims about odour and smell, especially in De Anima II.9 and De Sensu 5, to see (...) what light they shed on his theory of sense perception more generally. In the first half, I argue that neither of the two most influential recent ways of understanding Aristotle's theory of perception can adequately account for what he says about the sense of smell. In the second half, I offer my own positive account, considering and resolving various puzzles raised by Aristotle's claims about the nature of odour and its relation to flavour. Finally, I conclude that Aristotle's discussions of odour and smell suggest a plausible and interesting way of understanding the relationship, on his view, between ordinary, material changes in the sense organs and the activation of the capacity to perceive, considered merely as such. (shrink)

Both literalism, the view that mathematical objects simply exist in the empirical world, and fictionalism, the view that mathematical objects do not exist but are rather harmless fictions, have been both ascribed to Aristotle. The ascription of literalism to Aristotle, however, commits Aristotle to the unattractive view that mathematics studies but a small fragment of the physical world; and there is evidence that Aristotle would deny the literalist position that mathematical objects are perceivable. The ascription of (...) fictionalism also faces a difficult challenge: there is evidence that Aristotle would deny the fictionalist position that mathematics is false. I argue that, in Aristotle's view, the fiction of mathematics is not to treat what does not exist as if existing but to treat mathematical objects with an ontological status they lack. This form of fictionalism is consistent with holding that mathematics is true. (shrink)

In recent decades, it has been argued that the modern concept of forgiveness is absent from Aristotle’s conception of συγγνώμη as it appears in his Rhetoric and Nicomachean Ethics. In this paper, I argue that Aristotle’s view is more modern than it might appear. I defend the idea that Aristotle’s treatment of συγγνώμη, when seen in conjunction with his theory of ethical decision, involuntary action, and character alteration, commits him to a cognitive and emotional theory of forgiveness (...) that is both well-grounded and thoroughly modern. I go on to claim that Aristotle’s view of συγγνώμη helps to solve at least four controversial problems about the nature of forgiveness raised by modern philosophers: how one can forgive a wrong without condoning it, whether forgiveness is a duty, whether moral luck requires us to forgive more widely, and whether forgiveness ought to be unconditional. (shrink)

A predicate logic typically has a heterogeneous semantic theory. Subjects and predicates have distinct semantic roles: subjects refer; predicates characterize. A sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. Traditional term logic, by contrast, has a homogeneous theory: both subjects and predicates refer; and a sentence is true if the subject and predicate name one and the same thing. In this paper, I will examine evidence for ascribing to Aristotle (...) the view that subjects and predicates refer. If this is correct, then it seems that Aristotle, like the traditional term logician, problematically conflates predication and identity claims. I will argue that we can ascribe to Aristotle the view that both subjects and predicates refer, while holding that he would deny that a sentence is true just in case the subject and predicate name one and the same thing. In particular, I will argue that Aristotle's core semantic notion is not identity but the weaker relation of constitution. For example, the predication ‘All men are mortal’ expresses a true thought, in Aristotle's view, just in case the mereological sum of humans is a part of the mereological sum of mortals. (shrink)

_ Source: _Volume 63, Issue 3, pp 229 - 256 I argue that, for Aristotle, akratic actions are against one’s general commitment to act in accordance with one’s correct conception of one’s ends overall. Only some akratic actions are also against one’s correct decision to perform a particular action. This thesis explains Aristotle’s views on impetuous _akrasia_, weak _akrasia_, stubborn opinionated action and inverse _akrasia_. In addition, it sheds light on Aristotle’s account of practical rationality. Rational actions (...) are coherent primarily with one’s commitments to one’s conception of the good and only secondarily with one’s decisions to perform a particular action. (shrink)

This chapter offers a complete account of Aristotle’s underexplored treatment of the virtue of wittiness (eutrapelia) in Nicomachean Ethics IV.8. It addresses the following questions: (1) What, according to Aristotle, is this virtue and what is its structure? (2) How do Aristotle’s moral psychological views inform Aristotle’s account, and how might Aristotle’s discussions of other, more familiar virtues, enable us to understand wittiness better? In particular, what passions does the virtue of wittiness concern, and how (...) might the virtue (and its attendant vices) be related to the virtue of temperance (and its attendant vices)? (3) How does wittiness, as an ethical virtue, benefit its possessor? (4) How can Aristotle resolve some key tensions that his introducing a virtue of wittiness apparently generates for his ethics? In addition to exploring these questions, this chapter challenges some commonly accepted accounts of Aristotle’s views on the nature of the laughable. (shrink)

Aristotle contrasts episteme and doxa through the key notions of universal and necessary. These notions have played a central role in Aristotle’s characterization of scientific knowledge in the previous chapters of APo. They are not spelled out in APo I.33, but work as a sort of reminder that packs an adequate characterization of scientific knowledge and thereby gives a highly specified context for Aristotle’s contrast between episteme and doxa. I will try to show that this context introduces (...) a contrast in terms of explanatory claims: on the one hand, episteme covers those claims which capture explanatory connections that are universal and necessary and thereby deliver scientific understanding; on the other hand, doxa covers the explanatory attempts that fail at doing so. (shrink)

This paper investigates the identity and function of τὰ μεταξύ in Aristotle and the Early Academy by focussing primarily on Aristotle’s criticisms of Xenocrates of Chalcedon, the third scholarch of Plato’s Academy and Aristotle’s direct competitor. It argues that a number of passages in Aristotle’s Metaphysics (at Β 2, Μ 1-2, and Κ 12) are chiefly directed at Xenocrates as a proponent of theories of mathematical intermediates, despite the fact that Aristotle does not mention Xenocrates (...) there. Aristotle complains that the advocates for mathematical intermediates produce theories that are ontologically and epistemologically inefficient (related to, but not confined by, the “Uniqueness Problem”); that their so-called “intermediates” feature properties opposed to those of the forms on which those intermediates are thought to depend; and that what is μεταξύ must be between objects of a different genus. In all three cases, Aristotle’s criticisms are shown to be reactions to the metaphysics and cosmology of Xenocrates, especially his doctrine of the intermediary demonic isosceles triangle souls. Xenocrates emerges as a prime candidate for Aristotle’s critique of Platonist τὰ μεταξύ theories – equal to, and possibly even exceeding, Plato as target. (shrink)

Exceptions are often cited as a counterargument against formal causation. Against this I argue that Aristotle explicitly allows for exceptions to essences in his biological writings, and that he has a means of explaining them through formal causation – though this means that he has to slightly elaborate on his general case theory from the Posterior Analytics, by supplementing it with a special case application in the biological writings. Specifically for Aristotle an essential predication need not be a (...) universal predication. Rather an essential predication is where a property belongs essentially to a species or genus. This essential predication serves a causal and explanatory role, and is not dependent on a corresponding universal predication. (shrink)

In Physics 4.11, Aristotle discusses a sophistical puzzle in which "being Coriscus-in-the-Lyceum is different from being Coriscus-in-the-market-place." I take this puzzle to threaten the persistence of changing entities. Aristotle's answer to the puzzle is that the changing thing "is the same in respect of that, by (means of) being which at any time it is (what it is), S but in definition it is different." That is, Coriscus may be described as either a persisting substrate or as one (...) or more accidental unities. Described as the former, Coriscus persists, but described as the latter, he does not. (shrink)

Since the 1970s, at least, and presumably under the influence of the later Wittgenstein, certain advocates of Aristotle’s ethics have insisted that a proper validation of the virtues of character must proceed only from within, or be internal to, the particular evaluative outlook provided by possession of the virtues themselves. The most influential advocate of this line of thinking is arguably John McDowell, although Rosalind Hursthouse and Daniel C. Russell have also more recently embraced it. Here I consider whether (...) a distinction between the ‘substantive virtues’ and the ‘virtues of will power’ ultimately threatens that way of thinking about Aristotle’s ethics. If so, it would encourage a different reading of Aristotle’s ethics, one that McDowell has described as a “historical monstrosity”. (shrink)