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David Hume s Critique of Infinity (Hardback)

Dale Jacquette

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ISBN 10: 9004116494 / ISBN 13: 9789004116498
Edité par Brill, Netherlands, 2000
Neuf(s) Etat : New Couverture rigide
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A propos de cet article

Language: English . Brand New Book. This new study of David Hume s philosophy of mathematics critically examines his objections to the concept of infinity. Although infinity raises some of the most challenging paradoxes for Hume s empiricism, there have been few detailed and no fully comprehensive systematic discussions of Hume s critique. In a series of eight interrelated arguments, Hume maintains that we cannot experience and therefore can have no adequate idea of infinity or of the infinite divisibility of extension. He proposes to replace the notion of infinity with an alternative phenomenalist theory of space and time as constituted by minima sensibilia or sensible extensionless indivisibles. The present work considers Hume s critique of infinity in historical context as a product of Enlightenment theory of knowledge, and assesses the prospects of his strict finitism in light of contemporary mathematics, science, and philosophy. N° de réf. du libraire AAN9789004116498

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Détails bibliographiques

Titre : David Hume s Critique of Infinity (Hardback)

Éditeur : Brill, Netherlands

Date d'édition : 2000

Reliure : Hardback

Etat du livre :New

A propos de ce titre

Synopsis :

This new study of David Hume's philosophy of mathematics critically examines his objections to the concept of infinity. Although infinity raises some of the most challenging paradoxes for Hume's empiricism, there have been few detailed and no fully comprehensive systematic discussions of Hume's critique. In a series of eight interrelated arguments, Hume maintains that we cannot experience and therefore can have no adequate idea of infinity or of the infinite divisibility of extension. He proposes to replace the notion of infinity with an alternative phenomenalist theory of space and time as constituted by minima sensibilia or sensible extensionless indivisibles. The present work considers Hume's critique of infinity in historical context as a product of Enlightenment theory of knowledge, and assesses the prospects of his strict finitism in light of contemporary mathematics, science, and philosophy.

About the Author:

Dale Jacquette, Ph.D. (1983) in Philosophy, Brown University, is Professor of Philosophy at The Pennsylvania State University. He has written numerous books and articles on logic, metaphysics, philosophy of mind, and aesthetics, and has recently published Wittgenstein's Thought in Transition (Purdue University Press, 1998).

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