Platonism, Naturalism, and Mathematical Knowledge

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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 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 Plat…

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Title Statements

Full title :Platonism, Naturalism, and Mathematical Knowledge / James Robert Brown.

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Edition Statements

Publication Date:2010.

Publication Statements

Publisher(s):Routledge
Place of Publication:Platonism, Naturalism, and Mathematical
Language:eng
Publication Date:2010.

Notes

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.