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Synopsis
This historical study of the infinite covers all its aspects from the mathematical to the mystical. 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 discovery that infinity comes in degrees: some infinite sets are much bigger than others. Moore gives a clear sketch of Godel's celebrated proof, his accessible 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, these and other links are traced out, as the book concludes with a discussion of death and the poignancy of human finitude.
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About the Author
A. W. Moore is Tutorial Fellow in Philosophy at St. Hugh's College, Oxford.
Review
". . . Moore's book provides us with an instructive and authoritative overview of a topic of considerable philosophical importance." -- Roger Penrose, Times Literary Supplement
"The importance of Moore's book lies. . . in its highly stimulating account of the nature of infinity and its bold defence of finitism." -- International Philosophical Quarterly
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- PublisherRoutledge
- Publication date1991
- ISBN 10 0415070481
- ISBN 13 9780415070485
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages296
- Rating
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The Infinite
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ISBN 13: 9780415070485
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