Naturalism in mathematics (Broché)

Penelope Maddy

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  • Oxford University Press

  • Paru le : 10/07/2000
  • 1 million de livres à découvrir
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'This book represents the culmination of Penelope Maddys recent work in the philosophy of mathematics.... We ... see a dramatic change in her views on the ontology of mathematics, as well as a subtle but significant change in her approach to metaphysics generally. These differences, however, should not overshadow the continuity this book bas with Maddy's previous work: her central concern has always been the vindication of the pursuit of independent questions in set theory and their bearing on new set-theoretic axiom candidates. She continues her investigation of this important topic in Naturalism in Mathematics, albeit with a different philosophical outlook. The book is beautifully written, tightly argued and makes compelling reading. I believe the position Maddy introduces and defends - set theoretic naturalism - is a significant and original addition to the philosophy of mathematics landscape, and one that will certainly attract a great deal of attention.... In sum, this is a very important book covering some fascinating terrain on the border between philosophy and mathematics. The book will thus be of considerable interest to philosophers of mathematics and mathematicians alike. Indeed, Maddy's engaging style and clear explanations of the more technical material make this book, like her last, accessible and of interest to the non-specialist as well. Naturalism in Mathematics should enjoy a wide readership and it will no doubt promote fruitful debate on the many important issues it raises.' Mind 'This is a powerful book: wonderfully erudite and a pleasure to read.' Gideon Rosen, British Journal for the Philosophy of Science 'The book is written in a lively, engaging style. We hope that it serves to stimulate others to think seriously about issues in philosophy of mathematics because, as Maddy claims, these issues bear directly on mainstream philosophy.' Philosophy of Science
  • THE PROBLEM
    • The origins of set theory
    • Set theory as a foundation
    • The standard axioms
    • Independent questions
    • New axiom candidates
  • V=L
  • REALISM
    • Gödelian realism
    • Quinean realism
    • Set theoretic realism
    • A realist's case against V=L
    • Hints of trouble
    • Indispensability and scientific practice
    • Indispensability and mathematical practice
  • NATURALISM
    • Wittgensteinian anti-philosophy
    • A second Gödelian theme
    • Quinean naturalism
    • Mathematical naturalism
    • The problem revisited
    • A naturalist's case against V=L.
  • Date de parution : 10/07/2000
  • Editeur : Oxford University Press
  • ISBN : 0-19-825075-4
  • EAN : 9780198250753
  • Présentation : Broché
  • Nb. de pages : 254 pages
  • Poids : 0.315 Kg
  • Dimensions : 10,2 cm × 17,8 cm × 2,3 cm

Biographie de Penelope Maddy

Penelope Maddy is Professor of Logic and Philosophy of Science at the University of California, Irvine.

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Naturalism in mathematics
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