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Naturalism in Mathematics

by Penelope Maddy

  • ISBN: 9780198235736
  • ISBN10: 0198235739

Naturalism in Mathematics

by Penelope Maddy

  • Binding: Hardcover
  • Publisher: Oxford Univ Pr on Demand
  • Publish date: 01/01/1998
  • ISBN: 9780198235736
  • ISBN10: 0198235739
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Description: PART I: THE PROBLEM1. The origins of set theory2. Set theory as a foundation3. The standard axioms4. Independent questions5. New axiom candidates6. V = LPART II: REALISM1. Godelian realism2. Quinean realism3. Set-theoretic realism4. A realist's case against V = L5. Hints of trouble6. Indispensability and scientific practice7. Indispensability and mathematical practicPART III: NATURALISM1. Wittgensteinian anti-philosophy2. A second Godelian theme3. Quinean naturalism4. Mathematical naturalism5. The problem revisited6. A naturalist's case against V = LConclusionBibliographyIndex
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