Ontological separation plays a key role in Aristotle’s metaphysical project: substances alone are ontologically χωριστόν. The standard view identifies Aristotelian ontological separation with ontological independence, so that ontological separation is a non-symmetric relation. I argue that there is strong textual evidence that Aristotle employs an asymmetric notion of separation in the Metaphysics—one that involves the dependence of other entities on the independent entity. I argue that this notion allows Aristotle to prevent the proliferation of substance-kinds and thus to secure the (...) unity of his metaphysical system. (shrink)

There are two distinct but interrelated questions concerning Aristotle’s account of infinity that have been the subject of recurring debate. The first of these, what I call here the interpretative question, asks for a charitable and internally coherent interpretation of the limited pieces of text where Aristotle outlines his view of the ‘potential’ (and not ‘actual’) infinite. The second, what I call here the philosophical question, asks whether there is a way to make Aristotle’s notion of the potential infinite coherent (...) and rigorous with modern tools that can stand as a rival to the widely-accepted view of the infinite as characterized in a mathematical theory of sets. In this paper, I argue that the theoretical roles that Aristotle intends his account of the potential infinite to fulfill lead to a deep and irresoluble tension that can help explain the persistence of debates on both of these questions. I do so by turning to the places where Aristotle attempts to argue for or against the existence of particular infinite processes to show that he slides between different underlying notions of when changes are possible. Making these underlying notions clear can help us better understand the role of Aristotle’s account in the history of philosophy, the possible pitfalls for a contemporary theory of the potential infinite, and what each of these debates might learn from each other. (shrink)

In this paper, I compare the Megarian thesis of Metaphysics IX 3 with other sources on the Megarians in order to clarify two questions: that of the unity and nature of the so-called Megarian school and that of Aristotle’s broader argument in IX 3. I first review the disputed issue of the status of the Megarian school and then examine two hypotheses regarding the identity behind Aristotle’s allusion in IX 3. Third, I explore the connection between Megarianism and Plato’s Euthydemus, (...) a task that helps us to contextualize Aristotle’s anti-Megarian polemic. Lastly, I build on the preceding argument in a re-examination of the Eleatic hypothesis with regard both to the Megarians as a whole and to the thesis that Aristotle transmits. (shrink)

While Aristotle provides the crucial testimonies for the paradoxes of motion, topos, and the falling millet seed, surprisingly he shows almost no interest in the paradoxes of plurality. For Plato, by contrast, the plurality paradoxes seem to be the central paradoxes of Zeno and Simplicius is our primary source for those. This paper investigates why the plurality paradoxes are not examined by Aristotle and argues that a close look at the context in which Aristotle discusses Zeno holds the answer to (...) this question. (shrink)

In this paper, I defend a new theory of the nature and individuation of perceptual capacities. I argue that we need a theory of perceptual capacities to explain modal facts about what sorts of perceptual phenomenal states one can be in. I defend my view by arguing for three adequacy constraints on a theory of perceptual capacities: perceptual capacities must be individuated at least partly in terms of their place in a hierarchy of capacities, where these capacities include the senses (...) themselves; an adequate account of perceptual capacities must be sensitive to empirical considerations; and an adequate account should accommodate the nature of the capacity to perceive. I arrive at these constraints by considering how Schellenberg’s view fails, before defending and developing my alternative in line with the constraints. I defend a view on which there are few, coarse-grained perceptual capacities which can fulfil complex explanatory roles because they are evaluatively gradable on many axes. Finally, on my view, perceptual capacities bear a particularly close relation to the sensory modalities themselves. (shrink)

Zeno’s arguments are generally regarded as ingenious but downright unsound paradoxes, worth of attention mainly to disclose why they go wrong or, alternatively, to recognise them as clever, even if crude, anticipations of modern views on the space, the infinite or the quantum view of matter. In either case, the arguments lose any connection with the scientific and philosophical problems of Zeno’s own time and environment. In the present paper, I argue that it is possible to make sense of Zeno’s (...) arguments if we recognise that Zeno was indeed a close follower of Parmenides, who wanted to show that, if the plurality of beings existed, then various absurd consequences would follow. He intended to highlight the compact and inarticulate nature of the being, and the human character of the system of world partitions producing the entities and the objects on which our knowledge is based. (shrink)

Constitutivism locates the ground of practical normativity in features constitutive of rational agency and rests on the concept of a constitutive norm – a norm that is internal to a thing such that...

Aristotle thinks that an account, alogos, of some sort is characteristic of craft,technē. Some scholars think that thelogoselement oftechnēis tagged onto experience as a theoretical element not directly engaged in successful production: I argue instead that thelogosgrounds the productive ability of craft, and also that is practically orientated in a way that distinguishes it from thelogosof theoretical science. Understanding thelogosof craft thus helps us explain how the craftsman differs both from the merely experienced practitioner and from the theoretical scientist.

According to current interpretations of Parmenides, he either embraces a token-monism of things, or a type-monism of the nature of each kind of thing, or a generous monism, accepting a token-monism of things of a specific type, necessary being. These interpretations share a common flaw: they fail to secure commensurability between Parmenides’ alētheia and doxa. We effect this by arguing that Parmenides champions a metaphysically refined form of material monism, a type-monism of things; that light and night are allomorphs of (...) what-is ; and that the key features of what-is are entailed by the theory of material monism. (shrink)

Proclus defends the Platonic view that the heavens consist in (the highest gradations) of all four elements. He attacks Aristotle's view that the heavens consist in a distinct, fifth element.

There is little agreement about Aristotle’s philosophy of geometry, partly due to the textual evidence and partly part to disagreement over what constitutes a plausible view. I keep separate the questions ‘What is Aristotle’s philosophy of geometry?’ and ‘Is Aristotle right?’, and consider the textual evidence in the context of Greek geometrical practice, and show that, for Aristotle, plane geometry is about properties of certain sensible objects—specifically, dimensional continuity—and certain properties possessed by actual and potential compass-and-straightedge drawings qua quantitative and (...) continuous. For their part, the objects of stereometry are potential sensible three-dimensional figures qua quantitative and continuous. (shrink)

This essay aims to analyze the structure of Aristotle's Metaphysics Θ by explicating various senses of the term δύναµις at issue in the treatise. It is argued that Aristotle's central innovation, the sense of δύναµις most useful to his project in the treatise, is the kind of capacity characteristic of the pre-existent matter for substance. It is neither potentiality as a mode of being, as recent studies maintain, nor capacity for `complete' activity. It is argued further that, in starting with (...) the κύριος sense of δύναµις as capacity for change, Aristotle begins with the most familiar and acknowledged kind of capacity, in order to move to the less familiar but ultimately more useful notion of capacity for substance, and to bring these two kinds together through an analogical relation. (shrink)

El objetivo de este trabajo es discutir la interpretación tradicional según la cual los razonamientos de Zenón de Elea en contra de la multiplicidad constituyen una defensa de la tesis monista. Intentaré demostrar que las objeciones zenonianas a la multiplicidad suponen una critica previa a la existencia de "lo uno". Por este motivo, Zenón no es monista ni pluralista, sino, más bien, un crítico de las perspectivas metafísicas que consideran al ser en términos numéricos, i. e. como uno o como (...) múltiple. Para ello me concentraré en el análisis de la interpretación que Aristóteles desarrolla sobre la filosofía de Zenón, considerando algunos pasajes de Física, Refutaciones sofísticas y, fundamentalmente, Metafísica, III. 4. 1001b7-13. También incluiré algunos testimonios del comentario a la Física de Simplicio, en los que se discuten las interpretaciones de Eudemo de Rodas y Alejandro de Afrodisia, que ratifican el punto de vista aristotélico sobre la filosofía de Zenón. The aim of this paper is to discuss the traditional interpretation according to which the arguments of Zeno of Elea against multiplicity constitute a defense of monism. I will try to prove that Zeno's objections on plurality suppose a previous critique to the existence of the one. Therefore Zeno is neither a monist nor a pluralist but a philosopher who criticizes metaphysical theories that consider being in numerical terms, i. e. as many or as one. I will focus on the analysis of the interpretation of Zeno's philosophy developed by Aristotle. I will consider some passages from Physics, Sophistical Refutations and mainly Metaphysics III. 4. 1001b7-13. I will also include some testimonies from Simplicius' commentary on Aristotle's Physics, where he discusses the interpretations of Eudemus of Rhodes and Alexander of Aphrodisias that support the Aristotelian point of view on Zeno's philosophy. (shrink)