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Set Theory and its Philosophy
Language: en
Pages: 362
Authors: Michael Potter
Categories: Philosophy
Type: BOOK - Published: 2004-01-15 - Publisher: Clarendon Press

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Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must unde
Quine, New Foundations, and the Philosophy of Set Theory
Language: en
Pages: 221
Authors: Sean Morris
Categories: History
Type: BOOK - Published: 2018-12-13 - Publisher: Cambridge University Press

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Provides an accessible mathematical and philosophical account of Quine's set theory, New Foundations.
The Philosophy of Set Theory
Language: en
Pages: 258
Authors: Mary Tiles
Categories: Mathematics
Type: BOOK - Published: 2012-03-08 - Publisher: Courier Corporation

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DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinali
Set Theory
Language: en
Pages: 82
Authors: John P. Burgess
Categories: Philosophy
Type: BOOK - Published: 2022-03-10 - Publisher: Cambridge University Press

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Set theory is a branch of mathematics with a special subject matter, the infinite, but also a general framework for all modern mathematics, whose notions figure
Defending the Axioms
Language: en
Pages: 161
Authors: Penelope Maddy
Categories: Philosophy
Type: BOOK - Published: 2011-01-27 - Publisher: OUP Oxford

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Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have played th