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The Infinite - Third edition (Paperback, 3rd edition)
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The Infinite - Third edition (Paperback, 3rd edition)
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We are all captivated and puzzled by the infinite, in its many
varied guises; by the endlessness of space and time; by the thought
that between any two points in space, however close, there is
always another; by the fact that numbers go on forever; and by the
idea of an all-knowing, all-powerful God. In this acclaimed
introduction to the infinite, A. W. Moore takes us on a journey
back to early Greek thought about the infinite, from its inception
to Aristotle. He then examines medieval and early modern
conceptions of the infinite, including a brief history of the
calculus, before turning to Kant and post-Kantian ideas. He also
gives an account of Cantor's remarkable discovery that some
infinities are bigger than others. In the second part of the book,
Moore develops his own views, drawing on technical advances in the
mathematics of the infinite, including the celebrated theorems of
Skolem and Goedel, and deriving inspiration from Wittgenstein. He
concludes this part with a discussion of death and human finitude.
For this third edition Moore has added a new part, 'Infinity
superseded', which contains two new chapters refining his own ideas
through a re-examination of the ideas of Spinoza, Hegel, and
Nietzsche. This new part is heavily influenced by the work of
Deleuze. Also new for the third edition are: a technical appendix
on still unresolved questions about different infinite sizes; an
expanded glossary; and updated references and further reading. The
Infinite, Third Edition is ideal reading for anyone interested in
an engaging and historically informed account of this fascinating
topic, whether from a philosophical point of view, a mathematical
point of view, or a religious point of view.
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