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
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 and Anti-Platonism in Mathematics
Language: en
Pages: 234
Authors: Mark Balaguer
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: Oxford University Press, USA

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In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and
Mathematical Knowledge
Language: en
Pages: 199
Authors: Mary Leng
Categories: Language Arts & Disciplines
Type: BOOK - Published: 2007-11-15 - Publisher: Oxford University Press, USA

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What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathem
Autonomy Platonism and the Indispensability Argument
Language: en
Pages: 259
Authors: Russell Marcus
Categories: Philosophy
Type: BOOK - Published: 2015-06-11 - Publisher: Lexington Books

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Mathematical platonism is the view that mathematical statements are true of real mathematical objects like numbers, shapes, and sets. One central problem with p