Aristotle's Philosophy of Mathematics

Lear, Jonathan

doi:10.2307/2184625

Cited by 196 publications

(35 citation statements)

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“…This places Annas in perfect agreement with Lear that "the geometer studies physical objects, but not or physical objects" (Lear [1982], p. 175). Lear goes on to discuss the passages in Met.…”

supporting

confidence: 80%

Intelligible Matter and Geometry in Aristotle

Jones¹

1983

Apeiron

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supporting

confidence: 80%

Intelligible Matter and Geometry in Aristotle

Jones¹

1983

Apeiron

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“…According to Burnyeat, Aristotle does indeed accept premises (P.1) and (P'.1) -by ruling out option (iii) above, then -and in Metaphysics, XIII, 3 -he gives arguments for the claim that mathematical objects exist and theorems of mathematics are true of them, while arguing that mathematical objects are just physical objects differently considered. Lear (1982) also endorses this reading, and adds that geometry, for Aristotle, is about physical objects in so far as they have certain properties: its theorems would assert that insofar as physical objects have certain (spatial) properties, they also have other properties. Let F be one of these properties, for example the property of being a triangle.…”

Section: Aristotle Between Platonism and Anti-platonismmentioning

confidence: 98%

Plato's Problem

Panza

Sereni

2013

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Palgrave Macmillan is the global academic imprint of the above companies and has companies and representatives throughout the world. Palgrave® and Macmillan® are registered trademarks in the United States, the United Kingdom, Europe and other countries. ISBN 978-0-230-36548-3 hardback ISBN 978-0-230-36549-0 paperbackThis book is printed on paper suitable for recycling and made from fully managed and sustained forest sources. Logging, pulping and manufacturing processes are expected to conform to the environmental regulations of the country of origin.

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“…Still, animal as a genus CHAPTER ONE 151 For Aristotle's philosophy of mathematics, see Annas (1976, 26-41). For an extensive study, see Cleary (1995) and Lear (1982) for a shorter article. 152 It is likely that to this class also belongs such principles as that of non-contradiction discussed in Metaphysics IV and that according to which, if two things are the same as a third, they are the same as each other (Soph.…”

Section: Do the Sciences Have Something In Common?mentioning

confidence: 99%

Apprehension and Argument

Tuominen

2007

Studies in the History of Philosophy of Mind

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Aims and ScopeThe aim of the series is to foster historical research into the nature of thinking and the workings of the mind. The volumes address topics of intellectual history that would nowadays fall into different disciplines like philosophy of mind, philosophical psychology, artificial intelligence, cognitive science, etc. The monographs and collections of articles in the series are historically reliable as well as congenial to the contemporary reader. They provide original insights into central contemporary problems by looking at them in historical contexts, addressing issues like consciousness, representation and intentionality, mind and body, the self and the emotions. In this way, the books open up new perspectives for research on these topics. (HB) ISBN 13: 978-1-4020-5042-8 (HB) ISBN 10: 1-4020-5043-7 (e-book) ISBN 13: 978-1-4020-5043-5 (e-book)Published by Springer,

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Aristotle's Philosophy of Mathematics

Cited by 196 publications

References 0 publications

Intelligible Matter and Geometry in Aristotle

Intelligible Matter and Geometry in Aristotle

Plato's Problem

Apprehension and Argument

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