Anyone who has read Plato’s Republic knows it has a lot to say about mathematics. But why? I shall not be satisfied with the answer that the future rulers of the ideal city are to be educated in mathematics, so Plato is bound to give some space to the subject. I want to know why the rulers are to be educated in mathematics. More pointedly, why are they required to study so much mathematics, for so long?

These five essays began a debate about the nature and scope of ancient scepticism which has transformed our understanding of what scepticism originally was. Together they provide a vigorous and highly stimulating introduction to the thought of the original sceptics, and shed new light on its relation to sceptical arguments in modern philosophy.

This is a close scrutiny of De Anima II 5, led by two questions. First, what can be learned from so long and intricate a discussion about the neglected problem of how to read an Aristotelian chapter? Second, what can the chapter, properly read, teach us about some widely debated issues in Aristotle's theory of perception? I argue that it refutes two claims defended by Martha Nussbaum, Hilary Putnam, and Richard Sorabji: that when Aristotle speaks of the perceiver becoming like (...) the object perceived, the assimilation he has in mind is ordinary alteration of the type exemplified when fire heats the surrounding air, that this alteration stands to perceptual awareness as matter to form. Claim is wrong because the assimilation that perceiving is is not ordinary alteration. Claim is wrong because the special type of alteration that perceiving is is not its underlying material realisation. Indeed, there is no mention in the text of any underlying material realisation for perceiving. The positive aim of II 5 is to introduce the distinction between first and second potentiality, each with their own type of actuality. In both cases the actuality is an alteration different from ordinary alteration. Perception exemplifies one of these new types of alteration, another is found in the acquisition of knowledge and in an embryo's first acquisition of the power of perception. The introduction of suitably refined meanings of 'alteration' allows Aristotle to explain perception and learning within the framework of his physics, which by definition is the study of things that change. He adapts his standard notion of alteration, familiar from Physics III 1-3 and De Generatione et Corruptione I, to the task of accounting for the cognitive accuracy of perception and second potentiality knowledge: both are achievements of a natural, inborn receptivity to objective truth. Throughout the paper I pay special attention to issues of text and translation, and to Aristotle's cross-referencing, and I emphasise what the chapter does not say as well as what it does. In particular, the last section argues that the textual absence of any underlying material realisation for perceiving supports a view I have defended elsewhere, that Aristotelian perception involves no material processes, only standing material conditions. This absence is as telling as others noted earlier. Our reading must respect the spirit of the text as Aristotle wrote it. (shrink)

It is a standing temptation for philosophers to find anticipations of their own views in the great thinkers of the past, but few have been so bold in the search for precursors, and so utterly mistaken, as Berkeley when he claimed Plato and Aristotle as allies to his immaterialist idealism. InSiris: A Chain of Philosophical Reflexions and Inquiries Concerning the Virtues of Tar-Water, which Berkeley published in his old age in 1744, he reviews the leading philosophies of antiquity and finds (...) them on the whole a good deal more sympathetic to his own ideas than the ‘modern atheism’, as he calls it, of Hobbes and Spinoza or the objectionable principles of ‘the mechanic and geometrical philosophers’ such as Newton. But his strongest and, I think, his most interesting claim is that neither Plato nor Aristotle admitted ‘an absolute actual existence of sensible or corporeal things’. (shrink)

The question contrasts two ways of expressing the role of the sense organ in perception. In one the expression referring to the sense organ is put into the dative case ; the other is a construction with the preposition δiá governing the genitive case of the word for the sense organ.

This is a close scrutiny of "De Anima II 5", led by two questions. First, what can be learned from so long and intricate a discussion about the neglected problem of how to read an Aristotelian chapter? Second, what can the chapter, properly read, teach us about some widely debated issues in Aristotle's theory of perception? I argue that it refutes two claims defended by Martha Nussbaum, Hilary Putnam, and Richard Sorabji: (i) that when Aristotle speaks of the perceiver becoming (...) like the object perceived, the assimilation he has in mind is ordinary alteration of the type exemplified when fire heats the surrounding air, (ii) that this alteration stands to perceptual awareness as matter to form. Claim (i) is wrong because the assimilation that perceiving is is not ordinary alteration. Claim (ii) is wrong because the special type of alteration that perceiving is is not its underlying material realisation. Indeed, there is no mention in the text of any underlying material realisation for perceiving. The positive aim of II 5 is to introduce the distinction between first and second potentiality, each with their own type of actuality. In both cases the actuality is an alteration different from ordinary alteration. Perception exemplifies one of these new types of alteration, another is found in the acquisition of knowledge and in an embryo's first acquisition of the power of perception. The introduction of suitably refined meanings of 'alteration' allows Aristotle to explain perception and learning within the framework of his physics, which by definition is the study of things that change. He adapts his standard notion of alteration, familiar from "Physics" III 1-3 and "De Generatione et Corruptione" I, to the task of accounting for the cognitive accuracy of (proper object) perception and second potentiality knowledge: both are achievements of a natural, inborn receptivity to objective truth. Throughout the paper I pay special attention to issues of text and translation, and to Aristotle's cross-referencing, and I emphasise what the chapter does not say as well as what it does. In particular, the last section argues that the textual absence of any underlying material realisation for perceiving supports a view I have defended elsewhere, that Aristotelian perception involves no material processes, only standing material conditions. This absence is as telling as others noted earlier. Our reading must respect the spirit of the text as Aristotle wrote it. (shrink)

The 2008 Aquinas Lecture, Aristotle's Divine Intellect, was delivered on February 24, 2008, by Myles F. Burnyeat, Emeritus Fellow of All Souls College, Oxford University, and Honorary Fellow of Robinson College, Cambridge University.

THE PROTAGONISTS David Sedley The primary object of this historical introduction1 is to enable a reader encountering Hellenistic philosophy for the first ...

The key phrase eikōs muthos is standardly translated ‘a likely tale’, suggesting an empiricist philosophy of science quite alien to Plato’s outlook. I argue for translating, in the first instance, ‘a reasonable myth’, and focus on the point that the reason involved in world-making is practical, not theoretical. This should make a significant differenceto how we assess the Demiurgic arguments reported to us in the dialogue.

Theaetetus, asked what knowledge is, replies that geometry and the other mathematical disciplines are knowledge, and so are crafts like cobbling. Socrates points out that it does not help him to be told how many kinds of knowledge there are when his problem is to know what knowledge itself is, what it means to call geometry or a craft knowledge in the first place—he insists on the generality of his question in the way he often does when his interlocutor, asked (...) for a definition, cites instead cases of the concept to be defined. (shrink)

This volume, including sixteen contributions, analyses ancient and medieval theories of intentionality in various contexts: perception, imagination, and intellectual thinking. It sheds new light on classical theories and examines neglected sources, both Greek and Latin.

M. F. Burnyeat taught for 14 years in the Philosophy Department of University College London, then for 18 years in the Classics Faculty at Cambridge, 12 of them as the Laurence Professor of Ancient Philosophy, before migrating to Oxford in 1996 to become a Senior Research Fellow in Philosophy at All Souls College. The studies, articles and reviews collected in these two volumes of Explorations in Ancient and Modern Philosophy were all written, and all but two published, before that decisive (...) change. Whether designed for a scholarly audience or for a wider public, they range from the Presocratics to Augustine, from Descartes and Bishop Berkeley to Wittgenstein and G. E. Moore. Their subject-matter falls under four main headings: 'Logic and Dialectic' and 'Scepticism Ancient and Modern', which are contained in this first volume; 'Knowledge' and 'Philosophy and the Good Life' make up the second volume. The title 'Explorations' well expresses Burnyeat's ability to discover new aspects of familiar texts, new ways of solving old problems. In his hands the history of philosophy becomes itself a philosophical activity. (shrink)

M. F. Burnyeat; XII—Belief in Speech, Proceedings of the Aristotelian Society, Volume 68, Issue 1, 1 June 1968, Pages 227–248, https://doi.org/10.1093/aristotel.