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.

On Zeno Beach there are infinitely many grains of sand, each half the size of the last. Supposing Aristotle denied the possibility of Zeno Beach, did he have a good argument for the denial? Three arguments, each of ancient origin, are examined: the beach would be infinitely large; the beach would be impossible to walk across; the beach would contain a part equal to the whole, whereas parts must be lesser. It is attempted to show that none of these arguments (...) was Aristotle’s. Indeed, perhaps Aristotle’s finitism applied to magnitude only, not plurality. (shrink)

In Prior Analytics 1.15 Aristotle undertakes to establish certain modal syllogisms of the form XQM. Although these syllogisms are central to his modal system, the proofs he offers for them are problematic. The precise structure of these proofs is disputed, and it is often thought that they are invalid. We propose an interpretation which resolves the main difficulties with them: the proofs are valid given a small number of intrinsically plausible assumptions, although they are in tension with some claims found (...) elsewhere in Aristotle’s modal syllogistic. The proofs make use of a rule of propositional modal logic which we call the possibility rule. We investigate how this rule interacts and coheres with the core elements of the modal syllogistic. (shrink)

Abstract This paper illustrates how Aristotle's topological theses about change in Physics 5-6 can help address metaphysical issues. Two distinctions from Physics 5. 1 are discussed: changing per se versus changing per aliud ; motion versus change. Change from white to black is motion and alteration, whereas change from white to not white is neither. But is not every change from white to black identical with a change from white to not white? Theses from Physics 6 refute the identity. Is (...) change from white to black at least accompanied by change from white to not white? Perhaps, but given further theses from Physics 6, this supposition yields unwelcome consequences. Most likely, when something changes from white to black it changes merely per aliud , not per se , from white to not white. Genuine change between white and not white is found elsewhere; its admission has bearing on Aristotle's theory of perception. (shrink)

Aristotle offers several arguments in Physics viii.8 for his thesis that, when something moves back and forth, it does not undergo a single motion. These arguments occur against the background of a sophisticated theory, expounded in Physics v—vi, of the basic structure of motions and of other continuous entities such as times and magnitudes. The arguments in Physics viii.8 stand in a complex relation to that theory. On the one hand, Aristotle evidently relies on the theory in a number of (...) crucial steps. Yet in other steps he seems to contradict or misapply the theory. This situation offers the occasion to examine Aristotle’s views about some fundamentals in the metaphysics of motion, while also raising questions about the unity of the text which has come down to us as the Physics. (shrink)

We present an algorithm that can anticipate tax evasion by modeling the co-evolution of tax schemes with auditing policies. Malicious tax non-compliance, or evasion, accounts for billions of lost revenue each year. Unfortunately when tax administrators change the tax laws or auditing procedures to eliminate known fraudulent schemes another potentially more profitable scheme takes it place. Modeling both the tax schemes and auditing policies within a single framework can therefore provide major advantages. In particular we can explore the likely forms (...) of tax schemes in response to changes in audit policies. This can serve as an early warning system to help focus enforcement efforts. In addition, the audit policies can be fine tuned to help improve tax scheme detection. We demonstrate our approach using the iBOB tax scheme and show it can capture the co-evolution between tax evasion and audit policy. Our experiments shows the expected oscillatory behavior of a biological co-evolving system. (shrink)

Malink’s interpretation is designed to validate Aristotle’s claims of validity and invalidity of syllogistic-style arguments, as well as his conversion claims. The remaining sorts of claims in Aristotle's text are allowed to fall out as they may. Thus, not all of Aristotle’s examples turn out correct: on some occasions, Aristotle claims that a given pair of terms yields a true (false) sentence of a given type although, under Malink’s interpretation, the sentence in question is false (true). Similarly, some of Aristotle’s (...) claims of invalidity of nonsyllogistic-style arguments come out false. For example, under Malink’s interpretation, ‘A applies to all B’ and ‘B necessarily applies to all C’ entail ‘A necessarily applies to some B’, contrary to what Aristotle says. (shrink)

Biosemiotics argues that “sign” and “meaning” are two essential concepts for the explanation of life. Peircean biosemiotics, founded by Tomas Sebeok from Peirce’s semiotics and Jacob von Uexkül’s studies on animal communication, today makes up the mainstream of this discipline. Marcello Barbieri has developed an alternative account of meaning in biology based on the concept of code. Barbieri rejects Peircean biosemiotics on the grounds that this discipline opens the door to nonscientific approaches to biology through its use of the (...) concept of “interpretation.” In this article, it is noted that Barbieri does not adequately distinguish among Peirce’s semiotics, Peircean biosemiotics, and “interpretation-based” biosemiotics. Two key arguments of Barbieri are criticized: his limited view of science and his rejection of “interpretation-based” biosemiotics. My argument is based on tools taken from a different approach: Robert Rosen’s relational biology. Instead of “signs” and “meanings,” the study begins in this case from the “components” and “functions” of the organism. Rosen pursues a new definition of a law of nature, introduces the anticipatory nature of organisms, and defines the living being as a system closed to efficient cause. It is shown that Code Biosemiotics and Peircean biosemiotics can share a common field of study. Additionally, some proposals are suggested to carry out a reading of Rosen’s biology as a biosemiotic theory. (shrink)

Stanley Rosen's book is the first full-length study of the Sophist in English and one of the most complete in any language. He follows the stages of the dialogue in sequence and offers an exhaustive analysis of the philosophical questions that come to light as Theaetetus and the Eleatic Stranger pursue the sophist through philosophical debate. Rosen finds the central problem of the dialogue in the relation between original and image; he shows how this distinction underlies all subsequent (...) technical themes and analyzes in detail such problems as non-being or negation and false statement. Arguing that the dialogue must be treated as a dramatic unity, he pays careful attention throughout to the setting, the events, the language used, and the relations between the natures of the speakers and the topics under discussion. (shrink)

In this insightful and controversial book, the eminent philosopher Stanley Rosen takes a new look at the famous 'quarrel' that the moderns have with the ancients, analyzing and comparing ancient philosophers and modern Continental and analytical thinkers from Plato, Descartes, and Kant to Fichte, Nietzsche, and Rorty. He urges that we do not dismiss the classical heritage but appropriate it, for this appropriation is an indispensable step in the process of legitimizing our historical experience.

Plato's great attempt to define the nature of the sophist -- the false image of the philosopher -- has perplexed readers from classical times to the present. The dialogue has been central in the ongoing debate about the theory of forms, and it remains a crucial text for Plato scholars in both the analytical and the phenomenological traditions. Stanley Rosen's book is the first full-length study of the Sophist in English and one of the most complete in any language. (...) He follows the stages of the dialogue in sequence and offers an exhaustive analysis of the philosophical questions that come to light as Theaetetus and the Eleatic Stranger pursue the sophist through philosophical debate. Rosen finds the central problem of the dialogue in the relation between original and image; he shows how this distinction underlies all subsequent technical themes and analyzes in detail such problems as non-being or negation and false statement. Arguing that the dialogue must be treated as a dramatic unity, he pays careful attention throughout to the setting, the events, the language used, and the relations between the natures of the speakers and the topics under discussion. Rosen's new approach to the technical issues in the dialogue will be of interest to Plato scholars of all schools, and his analysis of the sophistical dimension of the world will engage all who have puzzled over what it means to be a philosopher. (shrink)

Region R Question: How many objects — entities, things — are contained in R? Ignore the empty space. Our question might better be put, 'How many material objects does R contain?' Let's stipulate that A, B and C are metaphysical atoms: absolutely simple entities with no parts whatsoever besides themselves. So you don't have to worry about counting a particle's top half and bottom half as different objects. Perhaps they are 'point-particles', with no length, width or breadth. Perhaps they are (...) extended in space without possessing spatial parts (if that is possible). Never mind. We stipulate that A, B and C are perfectly simple. We also stipulate that they are connected as follows. A and B are stuck together in such a way that when a force is applied to one of them, they move together 'as a unit'. Moreover, the two of them together exhibit behavior that neither would exhibit on its own — Perhaps they emit a certain sound, or glow in the dark — whereas C is.. (shrink)

This is the first full-length study of the Symposium to be published in English, and one of the first English works on Plato to take its bearings by the dramatic form of the Platonic dialogue, a thesis that was regarded as heterodox at the time but which today is widely accepted by scholars of the most diverse standpoint. Rosen was also one of the first to study in detail the philosophical significance of the phenomenon of concrete human sexuality, as (...) it is presented by Plato in the diverse characters of the main speakers in the dialogue. His analysis of the theoretical significance of pederasty in the dialogue was highly controversial at the time, but is today accepted as central to Plato's dramatic phenomenology of human existence. Rosen discusses a variety of topics that had previously been neglected in the secondary literature, including the problem of the hybristic nature of the philosopher, the poetical dimension of Plato's conception of philosophy, and the theoretical implication of the difference between Platonic writing and Socratic conversation. (shrink)

History, as we all know, is written by the victors. But in political theory the writing of history is a part of the struggle. Joshua Cherniss’s Liberalism in Dark Times makes a distinguished additi...

Are there key respects in which character and character defects are voluntary? Can agents with serious vices be rational agents? Jonathan Jacobs answers in the affirmative. Moral character is shaped through voluntary habits, including the ways we habituate ourselves, Jacobs believes. Just as individuals can voluntarily lead unhappy lives without making unhappiness an end, so can they degrade their ethical characters through voluntary action that does not have establishment of vice as its end. Choosing Character presents an account of ethical (...) disability, expanding the domain of responsibility and explicating the role of character in ethical cognition. Jacobs contends that agents become ethically disabled voluntarily when their habits impair their ability to properly appreciate ethical considerations. Such agents are rational, responsible individuals who are yet incapable of virtuous action. The view develops and modifies Aristotelian claims concerning the fixity of character. Jacobs' interpretation is developed in contrast to the overlooked work of Maimonides, who also used Aristotelian resources but argued for the possibility of character change. The notion of ethical disability has profound ramifications for ethics and for current debates about blame and punishment. (shrink)

The Dreaming Mind provides an insightful, interdisciplinary approach to the study of dreaming, exploring its nature and examining some of the implications of dream states for theories of consciousness, cognition and the self. Offering an integrative approach into our understanding of dreams and the mind, it is essential reading for students and researchers of consciousness, dreams, philosophy and cognitive sciences, as well as anyone who is curious about dreaming.

In the 1980s, a number of philosophers argued that perception is analog. In the ensuing years, these arguments were forcefully criticized, leaving the thesis in doubt. This paper draws on Weber’s Law, a well-entrenched finding from psychophysics, to advance a new argument that perception is analog. This new argument is an adaptation of an argument that cognitive scientists have leveraged in support of the contention that primitive numerical representations are analog. But the argument here is extended to the representation of (...) non-numerical magnitudes, such as luminance and distance, and shown to apply to perception and not just cognition. The relevant sense of ‘analog’ is also clarified, and two powerful objections are addressed. Finally, the question whether perception’s analog vehicles are located in conscious experience is explored and related to a well-known controversy within psychophysics. (shrink)

Jacobs' interpretation is developed in contrast to the overlooked work of Maimonides, who also used Aristotelian resources but argued for the possibility of ...

Philosophy, scientific psychology, and common sense all distinguish perception from cognition. While there is little agreement about how the perception–cognition boundary ought to be drawn, one prominent idea is that perceptual states are dependent on a stimulus, or stimulus-dependent, in a way that cognitive states are not. This paper seeks to develop this idea in a way that can accommodate two apparent counterexamples: hallucinations, which are prima facie perceptual yet stimulus-independent; and demonstrative thoughts, which are prima facie cognitive yet stimulus-dependent. (...) The payoff is not only a specific proposal for marking the perception–cognition boundary, but also a deeper understanding of the natures of hallucination and demonstrative thought. (shrink)

According to the Generality Constraint, mental states with conceptual content must be capable of recombining in certain systematic ways. Drawing on empirical evidence from cognitive science, I argue that so-called analogue magnitude states violate this recombinability condition and thus have nonconceptual content. I further argue that this result has two significant consequences: it demonstrates that nonconceptual content seeps beyond perception and infiltrates cognition; and it shows that whether mental states have nonconceptual content is largely an empirical matter determined by the (...) structure of the neural representations underlying them. (shrink)

This study of the Jewish legal system (the Halakhah) demonstrates that the law embraces every corner of life.

In The Border between Seeing and Thinking, Ned Block argues that the distinction between perception and cognition should be grounded in representational format. I object that cognition is multifaceted, and includes representations with the same format as some perceptual representations. We can save Block’s view by interpreting it as concerning the border between one elite species of cognition—namely, propositional thought—and everything below it, including perception. But that leaves the border between perception and cognition in general unexplained. To fill this gap, (...) I recommend my stimulus-dependence account of the border and reply to objections Block raises against it. This brings into relief a category of mind that is crucial to understanding human infants and nonhuman animals—namely, nonpropositional cognition, which sits between perception and propositional thought. (shrink)

John Morrison has argued that confidences are assigned in perceptual experience. For example, when you perceive a figure in the distance, your experience might assign a 55-percent confidence to the figure’s being Isaac. Morrison’s argument leans on the phenomenon of ‘completely trusting your experience’. I argue that Morrison presupposes a problematic ‘importation model’ of this familiar phenomenon, and propose a very different way of thinking about it. While the article’s official topic is whether confidences are assigned in perceptual experience, it (...) is also about two more general issues: how we can determine which properties are assigned in perceptual experience; and how we transition from perception to belief. (shrink)

Business ethics, corporate social responsibility, corporate citizenship, values-driven management, corporate governance, and ethical leadership are necessary ...

The ‘expropriation of the expropriators’ is a delicious turn of phrase, one that Marx even compares to Hegel’s infamous ‘negation of the negation’. But what does it mean, and is it still relevant today? Before I analyse the content of Marx’s expression, I briefly consider contemporary legal understandings of expropriation, as well as some examples of it. In the remainder of the essay, I spell out different kinds of expropriation in Marx and focus on an ambiguity at the core of (...) the notion of ‘expropriating the expropriators’, namely, whether it describes an immanent and objective tendency within the development of the capitalist mode of production or else actively prescribes a form of revolutionary political praxis for the working class. My answer is that it does both, though not without tension. Finally, I develop some implications of these reflections by showing how the concept of expropriation can be put to use today, in struggles around housing, climate and work. (shrink)

I offer here a new hypothesis about the nature of implicit attitudes. Psy- chologists and philosophers alike often distinguish implicit from explicit attitudes by maintaining that we are aware of the latter, but not aware of the former. Recent experimental evidence, however, seems to challenge this account. It would seem, for example, that participants are frequently quite adept at predicting their own perfor- mances on measures of implicit attitudes. I propose here that most theorists in this area have nonetheless overlooked (...) a commonsense distinction regarding how we can be aware of attitudes, a difference that fundamentally distinguishes implicit and explicit attitudes. Along the way, I discuss the implications that this distinction may hold for future debates about and experimental investigations into the nature of implicit attitudes. (shrink)

Integrative and naturalistic philosophy of mind can both learn from and contribute to the contemporary cognitive sciences of dreaming. Two related phenomena concerning self‐representation in dreams demonstrate the need to bring disparate fields together. In most dreams, the protagonist or dream self who experiences and actively participates in dream events is or represents the dreamer: but in an intriguing minority of cases, self‐representation in dreams is displaced, disrupted, or even absent. Working from dream reports in established databanks, we examine two (...) key forms of polymorphism of self‐representation: dreams (or dream episodes) in which I take an external visuospatial perspective on myself, and those in which I take someone else's perspective on events. In remembering my past experiences or imagining future or possible experiences when awake, I sometimes see myself from an external or ‘observer’ perspective. By relating the issue of perspective in dreams to established research traditions in the study of memory and imagery, and noting the flexibility of perspective in dreams, we identify new lines of enquiry. In other dreams, the dreamer does not appear to figure at all, and the first person perspective on dream events is occupied by someone else, some other person or character. We call these puzzling cases ‘vicarious dreams’ and assess some potential ways to make sense of them. Questions about self‐representation and perspectives in dreams are intriguing in their own right and pose empirical and conceptual problems about the nature of self‐representation with implications beyond the case of dreaming. (shrink)

When we dream, we feel emotions in response to objects and events that exist only in the dream. What should we say about these emotions? One key question is whether these emotions can be said to be ‘fitting’, that is, appropriate to the evoking scenario. However, how we evaluate these emotions for fittingness may depend on the nature of dreams. According to the imagination model, dreamers do not believe that dream objects are real or that dream events are really happening. (...) In contrast, the hallucination model suggests that we falsely believe dream events are real and many of these beliefs are irrational. Under these conditions, an interesting possibility arises: dream emotions may be “essentially unfitting”, or in other words, feeling emotions in response to dream events is always unfitting. If fittingness requires a match between emotion and evaluative properties of objects or events, it is prima facie plausible that dream emotions could fail to fit under the imagination model because it is unfitting to have an emotion towards an object we do not believe to be real. Further, under the hallucination model, dream emotions could be unfitting because their objects do not exist even if we believe them to be real, or alternatively, because of the irrational nature of dream beliefs. More nuance, however, is required. By comparing dream emotions to the emotions we experience while imagining, engaging with fiction, and hallucinating, we evaluate the possibility of essential unfittingness of dream emotions. We conclude that although there are compelling arguments in support of the claim that dream emotions are essentially unfitting, these arguments are not entirely convincing, and it is more plausible that particular dream emotions can be assessed for fittingness under either model of dreaming. (shrink)

Empirical discussions of mental representation appeal to a wide variety of representational kinds. Some of these kinds, such as the sentential representations underlying language use and the pictorial representations of visual imagery, are thoroughly familiar to philosophers. Others have received almost no philosophical attention at all. Included in this latter category are analogue magnitude representations, which enable a wide range of organisms to primitively represent spatial, temporal, numerical, and related magnitudes. This article aims to introduce analogue magnitude representations to a (...) philosophical audience by rehearsing empirical evidence for their existence and analysing their format, their content, and the computations they support. 1 Background1.1 Evidence of analogue magnitude representations1.2 Weber’s law1.3 Scepticism about analogue magnitude representations2 Format2.1 Carey’s analogy2.2 Neural realization2.3 Analogue representation2.4 Analogue magnitude representation components3 Content3.1 Do analogue magnitude representations have representational content?3.2 What do analogue magnitude representations represent?3.3 What content types do analogue magnitude representations have?4 Computations4.1 Arithmetic computation4.2 Practical deliberation5 Conclusion. (shrink)

The animal agriculture industry causes animals a tremendous amount of pain and suffering. Many ethical vegans argue that we therefore have an obligation to abstain from animal products in order to reduce this suffering. But this argument faces a challenge: thanks to the size and structure of the animal agriculture industry, any individual’s dietary choices are overwhelmingly unlikely to make a difference. In this paper, we criticize common replies to this challenge and develop an alternative argument for ethical veganism. Specifically, (...) we argue that individuals should abstain from animal products because vegans, as a group, successfully reduce animal suffering, and individuals are obligated to participate in, rather than free ride on, this collective endeavor. Or, at the very least, individuals have strong reasons to purchase fewer inhumanely raised animal products—even if they are not obligated to go vegan per se. (shrink)

Wigner's quantum-mechanical classification of particle-types in terms of irreducible representations of the Poincaré group has a classical analogue, which we extend in this paper. We study the compactness properties of the resulting phase spaces at fixed energy, and show that in order for a classical massless particle to be physically sensible, its phase space must feature a classical-particle counterpart of electromagnetic gauge invariance. By examining the connection between massless and massive particles in the massless limit, we also derive a classical-particle (...) version of the Higgs mechanism. (shrink)