The Infinite - Couverture souple

Moore, A. W.

 
9780415070485: The Infinite

Synopsis

This historical study of the infinite covers all its aspects from the mathematical to the mystical. Anyone who has ever pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognise the special fascination of the subject. Beginning with an entertaining account of the main paradoxes of the infinite, including those of Zeno, A.W. Moore traces the history of the topic from Aristotle to Kant, Hegel, Cantor, and Wittgenstein. Recent technical work is examined in the light of Cantor's remarkable discovery that infinity comes in degrees: some infinite sets are much bigger than others. Moore also gives a crisp sketch of Godel's celebrated proof, his clear presentation enabling the non-mathematical reader to grasp deep mathematical issues. Drawing on these technical results and on the early work of Wittgenstein, Moore outlines his own original account of the infinite. He argues that there are fundamental links between the infinite and the ineffable. In a final chapter on human finitude, these and other links are traced out, and the book concludes with a moving discussion of death and the poignancy of human finitude.

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Présentation de l'éditeur

Anyone who has pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of this question. Adrian Moore's historical study of the infinite covers all its aspects, from the mathematical to the mystical.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780415252850: The Infinite

Edition présentée

ISBN 10 :  0415252857 ISBN 13 :  9780415252850
Editeur : Routledge, 2001
Couverture souple