Platonism, naturalism, and mathematical knowledge

James Robert Brown

This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the Platonist-Naturalist debate over mathematics in a comprehensive fashion, but it also sheds considerable light on non-mathematical aspects of a dispute that is central to contemporary philosophy.

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[目次]

  • Preface 1. Mathematical Explanation 2. What is Naturalism? 3. Perception, Practice, and Ideal Agents: Kitcher's Naturalism 4. Just Metaphor?: Lakoff's Language 5. Semi-Naturalists and Reluctant Realists 6. A Life of its Own?: Maddy and Mathematical Autonomy 7. Seeing with the Mind's Eye: The Platonist Alternative 8. Afterword

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この本の情報

書名 Platonism, naturalism, and mathematical knowledge
著作者等 Brown, James Robert
シリーズ名 Routledge studies in the philosophy of science
出版元 Routledge
刊行年月 2012
ページ数 x, 182 p.
大きさ 24 cm
ISBN 9780415872669
NCID BB08657495
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言語 英語
出版国 アメリカ合衆国

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