It is commonly assumed that Aristotle denies any real existence to infinity. Nothing is actually infinite. If, in order to resolve Zeno’s paradoxes, Aristotle must talk of infinity, it is only in the sense of a potentiality that can never be actualized. Aristotle’s solution has been both praised for its subtlety and blamed for entailing a limitation of mathematic. His understanding of the infinite as simply indefinite (the “bad infinite” that fails to reach its accomplishment), his conception of the cosmos (...) and even its prime mover as finite (in the sense of autarchic/self-contained) have been contrasted with the subsequent claim of God as ens infinitum (understood as a “positive” infinity). The goal of this essay is to reexamine the major texts (notably De caelo) and to demonstrate that (1) Aristotle’s claim according to which there is no actual infinite concerns only substances, not processes. (2) That Aristotle does not deny an actual infinite as such. (3) That when considering time and God (qua eternal) Aristotle acknowledges an actual infinite. (shrink)

The master argument posits a metaphysical thesis: Diodorus does away with Aristotle’s dunamis understood as a power simultaneously oriented toward being and non-being and proclaims that possibilities that fail to actualize are simply nothing. My contention is that this claim is not a mere application of Diodorus’ contribution to modal logic. Rather, Diodorus creates an ontologico-temporal concept of possibility and impossibility. Diodorus envisions the future as the past that the future will become. Since what will have been can never be (...) the accomplishment of a possibility that did not obtain, and since the future is destined to become past, any futural possibility that doesn’t actualize is neither futural nor even possible. (shrink)

It is surprisingly difficult to justify private property. Two questions are at stake: (a) a metaphysical and juridical one concerning the nature of property and (b) an ethical one concerning our attitude toward wealth. This issue reached an unprecedented importance during the 12th and 13th centuries as a new moral ideal emerged. This essays analyses the controversy (with emphasis on Bonaventure’s Defense of the Mendicants) by first locating it in relation to the philosophical and theological authorities as well as the (...) Roman law. It argues that the dispute between the defenders of paupertas altissima and their opponents concerns the limit of the law. Gerard of Abbeville and John XXII saw a contradiction in a right to use that would exclude ownership. Yet, what the Franciscans were seeking was use without right. To relate to the world as something that is essentially inappropriable is to seek a form of life (a rule) prior to the law. Centuries after, such a possibility remains to be discovered. (shrink)

This essay is concerned with two interrelated questions. First, a broad question: in what sense is Skepticism a philosophy− or in what sense is it “philosophy” (as we will see, these are not identical questions)? Second, a narrow one: how should we understand the process whereby ataraxia (freedom from disturbance) emerges out of epochē (suspension of judgment)? The first question arises because Skepticism is often portrayed as anti-philosophy. This depiction, I contend, surreptitiously turns a Skeptical method into a so-called Skeptical (...) doctrine which is then either condemned for being self-refuting or salvaged as a plausible (albeit odd) epistemological theory. Instead, philosophy, for the Skeptics, is a matter of practice. Skepticism is not so much a philosophy that has a worldview to proclaim as it is a philosophy that invites us to perform something. (shrink)

Ageing brings together biological, personal, and social horizons. Attempts to reduce it or to privilege one of these dimensions over the others fail to fully capture the phenomenon. The temporality of ageing presents an irreducible complexity. It is the inextricable intertwinement of three temporalities, three rhythms on different scales: biological time, personal-narrative time, and historical time. In all these dimensions something is of crucial concern: time and temporality. Yet, many philosophers who have thought about time (even those who take seriously (...) the lived experience of temporality) have paid little attention to ageing. Drawing from Heidegger, Scheler, and Schutz, this paper argues that ageing is an irreducible complex of different temporalities where one encounters the historicity of the world through a process of losing touch with it. (shrink)

Aristotle’s treatment of tactility is at odds with the hierarchical order of psyche’s faculties. Touching is the commonest and lowest power; it is possessed by all sentient beings; thinking is, on the contrary, the highest faculty that distinguishes human beings. Yet, while Aristotle maintains against some of his predecessors that to think is not to sense, he nevertheless posits a causal link between practical intelligence and tactility and even describes noetic activity as a certain kind of touch. This essay elucidates (...) Aristotle’s analysis of the sense of touch in De anima and argues that tactility provides a paradigm for sensitivity in general and in particular for the reflexivity of sensation whereby the senses disclose not only what they are sensing but also that they are sensing. This feature, it is argued, has epistemological and ontological consequences. The sense of touch testifies to the physical presence of material beings and provides an empirical verification of substance’s essential feature, namely, self-reference. (shrink)

The diversity of interpretations of Aristotle’s treatment of chance and luck springs from an apparent contradiction between the claims that “chance events are for the sake of something” and that “chance events are not for the sake of their outcome.” Chance seems to entail the denial of an end. Yet Aristotle systematically refers it to what is for the sake of an end. This paper suggests that, in order to give an account of chance, a reference to “per accidens causes” (...) is not sufficient. Chance occurs as a parody of teleology; it is a“for-no-purpose” that looks like a purpose. The notion of “irony” is suggested as a way of accounting for a situation that keeps an ambiguity open. The fact that chance is thought of in relation to teleology does not mean that it is “reappropriated” by teleology. Rather,chance reveals a hiatus that betrays the limitation of a language concerned with substances to account for events. (shrink)

This paper focuses on Aristotle’s discussion of PNC in Metaphysics Gamma and argues that the argument operates at three different levels: ontological, doxastic, and semantic through the invocation of three philosophical personae: the first one can only state what is otherwise unprovable, the second one can only confirm that we should trust PNC, the third one denies PNC and must be silenced. Aristotle cannot prove what is beyond proof. This situation results in a fundamental ambiguity in the figure of the (...) philosopher. The Metaphysics is written from the standpoint of an investigative thinker who admits her puzzlement before a question that will forever remain open and imagines another philosopher who has achieved a god-like insight into the first principles of all things. The path from the first figure to the second one, however, remains an enigmatic leap. (shrink)

This study examines problems related to the representation of music. It constructs the sender/message/perceiver/result model, a prototype broad enough to incorporate a large variety of music and other notation systems, including those having to do with computers. The work defines music notation itself, describes various models for studying the subject--including the binary types prescriptive/descriptive, and symbolic/iconic--and assesses music notation as a contemporary practice. It encompasses a review of the actions and intentions of composers, performers, and audiences, and a consideration of (...) the message and how it is affected by media , reference systems , and meanings. Finally, through an examination of the possibilities of the self acting as a notation system within models posited by feminist and queer theory, I attempt to demonstrate the power of notation to affect other systems and worlds, including the worlds of music, art, and politics. ;The consideration of these topics draws on theories from linguistics, semiotics, structuralism, post-structuralism, cybernetics, and music, as well as the philosophies of John Cage, Jean-Jacques Nattiez, Nelson Goodman, and others. The work examines various languages and applications used to program computers for musical purposes, though this examination does not incorporate programs dedicated exclusively to printing music. Nor does the study focus on non-Western notations, suggestions for reforms of notation, or encyclopedic lists of notation devices. ;The expository writing is augmented by excerpts from material I gathered in numerous interviews. There are separate sections containing interviews of Leonard Meyer, Allan Kaprow, John Cage, Earle Brown, Roger Reynolds, and Heidi von Gunden. There is also a large, partially-annotated bibliography. ;My hope is that an inclusive, interdisciplinary exploration of music notation will be useful in broadening the theoretical and creative boundaries of the field, as well as bridging gaps among musicians using various music technologies, and artists and theorists from diverse fields and perspectives. (shrink)

Western liberal democracies praise themselves for protecting a full range of differences among individuals and groups. The origin of this ongoing process is thought to be Locke’s Epistola de Tolerantia. Before the Reformation, it is assumed, “a multiplicity of beliefs was deemed to be dangerous, as well as evil; diversity was, so to speak, the devil’s work, and where it existed it was to be stamped out”. Yet, although flattering to liberalism, the conceit of a modern liberal discovery of liberty (...) of conscience is both conceptually simplistic and historically misleading. The main virtue of this volume is to challenge this tale of Western political history. The essays presented seek to demonstrate that premodern thinkers generated alternative theories of toleration; and to contribute to a philosophical analysis of tolerance. (shrink)