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The Evolution of Logic


Part of The Evolution of Modern Philosophy

  • Author: W. D. Hart, University of Illinois, Chicago
  • Date Published: October 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521747721

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About the Authors
  • Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy (and mathematics) by excellent philosophers (and mathematicians) up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them (consistency and independence of the continuum hypothesis, Post's problem, and Morley's theorem) more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy.

    • A single source for otherwise scattered results
    • Written to maximize accessibility by philosophers to mathematical logic and its associated philosophical doctrines
    • Intended to revive the collaboration between philosophers and mathematical logicians
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    Reviews & endorsements

    'The aim of the author is to make these achievements more accessible to philosophers and in this way to make available for them the tools necessary to renew the dialogue between logic and philosophy.' Mathematical Reviews

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    Product details

    • Date Published: October 2010
    • format: Paperback
    • isbn: 9780521747721
    • length: 312 pages
    • dimensions: 227 x 155 x 18 mm
    • weight: 0.42kg
    • contains: 4 b/w illus.
    • availability: Available
  • Table of Contents

    1. Cantor's paradise
    2. Die urwahrheiten
    3. Expeditions: which sets exist?
    4. The universe and everything
    5. Truth eludes proof
    6. Accommodating Cantor
    7. Or not
    8. The critique of pure reason
    9. The ways of the world
    10. The zoology of reality.

  • Author

    W. D. Hart, University of Illinois, Chicago
    W. D. Hart is currently a Professor of Philosophy at the University of Illinois at Chicago, where he chaired the Philosophy department for 12 years. He has also taught at the University of Michigan, University College London, and the University of New Mexico. He is the author of The Engines of the Soul, now available in paperback (Cambridge University Press, 2009), and the editor of The Philosophy of Mathematics, and has published more than seventy articles and reviews in academic journals.

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