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The Logic in Philosophy of Science

$28.00 USD

  • Date Published: July 2019
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781108601948

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  • Major figures of twentieth-century philosophy were enthralled by the revolution in formal logic, and many of their arguments are based on novel mathematical discoveries. Hilary Putnam claimed that the Löwenheim-Skølem theorem refutes the existence of an objective, observer-independent world; Bas van Fraassen claimed that arguments against empiricism in philosophy of science are ineffective against a semantic approach to scientific theories; W. V. O. Quine claimed that the distinction between analytic and synthetic truths is trivialized by the fact that any theory can be reduced to one in which all truths are analytic. This book dissects these and other arguments through in-depth investigation of the mathematical facts undergirding them. It presents a systematic, mathematically rigorous account of the key notions arising from such debates, including theory, equivalence, translation, reduction, and model. The result is a far-reaching reconceptualization of the role of formal methods in answering philosophical questions.

    • Examines the role of formal logic in key debates in twentieth-century philosophy
    • Applies cutting-edge mathematical techniques to philosophical questions, providing philosophers with new tools to aid their analysis
    • Contains an introduction to metalogic, basic topology, set theory, and category theory
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    Reviews & endorsements

    'This book offers a masterful and comprehensive treatment of the metalogical concepts, distinctions and theorems with which modern philosophy of science is so heavily involved. Both students and professionals in the field can expect to learn much from Halvorson's patient and lucid exposition. Any serious student of general philosophy of science will want to refer to it repeatedly.' Arif Ahmed, University of Cambridge

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    Product details

    • Date Published: July 2019
    • format: Adobe eBook Reader
    • isbn: 9781108601948
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Introduction:
    1. Invitation to metatheory
    2. The category of sets
    3. The category of propositional theories
    4. Syntactic metalogic
    5. Syntactic metalogic redux
    6. Semantic metalogic
    7. Semantic metalogic redux
    8. From metatheory to philosophy.

  • Author

    Hans Halvorson, Princeton University, New Jersey
    Hans Halvorson is Stuart Professor of Philosophy at Princeton University, New Jersey. He has written extensively on philosophical issues in physics and the other sciences, on mathematical logic, and on the relationship between science and religion.

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