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Naturalism in Mathematics
Language: en
Pages: 265
Authors: Penelope Maddy
Categories: Philosophy
Type: BOOK - Published: 1997-11-13 - Publisher: Clarendon Press

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Our much-valued mathematical knowledge rests on two supports: the logic of proof and the axioms from which those proofs begin. Naturalism in Mathematics investi
Platonism, Naturalism, and Mathematical Knowledge
Language: en
Pages: 195
Authors: James Robert Brown
Categories: Philosophy
Type: BOOK - Published: 2013-06-17 - Publisher: Routledge

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This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussin
Defending the Axioms
Language: en
Pages: 161
Authors: Penelope Maddy
Categories: Mathematics
Type: BOOK - Published: 2011-01-27 - Publisher: Oxford University Press

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Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the q
Mathematics and Reality
Language: en
Pages: 288
Authors: Mary Leng
Categories: Philosophy
Type: BOOK - Published: 2010-04-22 - Publisher: OUP Oxford

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Mary Leng offers a defense of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects. Perhaps the mo
Believing in Dawkins
Language: en
Pages: 412
Authors: Eric Steinhart
Categories: Science
Type: BOOK - Published: 2020-09-16 - Publisher: Springer Nature

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Dawkin's militant atheism is well known; his profound faith less well known In this book, atheist philosopher Eric Steinhart explores the spiritual dimensions o