| Description |
1 online resource (xi, 246 pages) |
| Contents |
Intro -- Preface -- Chapter 1 -- Platonism Overview -- Chapter One Platonism: An Overview -- Benacerraf's Dilemma -- Anti-Platonistic Responses to Benacerraf's Dilemma -- Access Problem -- Platonistic Responses to Benacerraf's Dilemma: Indispensability Platonism -- Platonistic Responses to Benacerraf's Dilemma: Autonomy Platonism -- Chapter Two The Quinean Indispensability Argument -- Quine's Argument -- Quine's Naturalism -- Quine's Holism -- Physicalism and Pluralism -- The Aesthetics of Theory Construction -- Believing Our Best Theory and the Double-Talk Argument -- Quine's Procedure for Determining the Commitments of a Theory -- Mathematization -- Chapter Three Problems for QI -- Confirmation Holism and Disciplinary Boundaries -- Problems for the Quinean Method for Determining Ontological Commitment -- Names and Quantifiers -- First-Order Logic and Higher-Order Logics -- The Regimentation of Commitment -- Whither QI? -- Chapter 4 -- The Weasel -- Chapter Four The Weasel -- The Original Weasel -- Melia's Weaseling Strategy -- Leng's Recreational Weasel -- The Weasel at Work -- Speaking Seriously in Mathematics -- Quine against the Weasel -- Autonomy Platonism and the Weasel -- Chapter Five The Unfortunate Consequences -- Traditional Platonism -- The Indispensabilist's Mathematics -- Restriction -- Ontic Blur and Causality -- Modal Uniformity and Temporality -- The Indispensabilist's Methods -- The Unfortunate Consequences -- Other Quinean Indispensability Arguments -- Embracing the Unfortunate Consequences -- The Way Forward -- Chapter Six The Putnamian Indispensability Argument -- Putnam and the Quinean Argument -- Putnam's Success Argument -- Melia's Two Indispensability Arguments -- Resnik's Pragmatic Argument -- Other Non-Holistic Indispensability Arguments -- Chapter Seven The Explanatory Indispensability Argument |
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Indispensability, Theories, and Explanations -- The Explanatory Indispensability Argument -- The Origins of the Explanatory Argument -- Mathematical Explanations in Science -- Two Concepts of Explanation -- Epistemic Explanation and the Explanatory Indispensability Argument -- Weaseling Away the Explanatory Argument (But Not the Standard Argument) -- Toward an Autonomy Platonist Solution -- Chapter Eight Motivating Autonomy Platonism -- From Indispensability to Autonomy Platonism -- From Fictionalism to Autonomy Platonism -- Mathematics as Logic -- Chapter 9 -- Plenitudinous Platonism -- Chapter Nine Plenitudinous Platonism -- Two Versions of Autonomy Platonism -- Plenitudinous Platonism -- FBP and Plenitude -- FBP and Necessity -- Chapter 10 -- Intuition-Based Autonomy Platonism -- Chapter Ten Intuition-Based Autonomy Platonism -- McEvoy's Sketch -- Mathematical Intuition -- A Fallibilist Account of Mathematical Intuition -- Mathematical Intuition and Philosophical Intuition -- Unhelpful Characterizations of Mathematical Intuition -- Mathematical Intuition and Mysterianism -- The Unsurprising Reliability of Mathematical Intuition -- From Mathematical Intuition to Mathematical Theory -- On What Mathematical Objects There Are -- The Yield of Intuition-Based Autonomy Platonism -- Security and Fallibility -- Chapter 11 -- Circles -- Chapter Eleven Circles and Justification -- Bootstrapping -- The Problem of Circularity in Philosophy -- Pragmatic Analyses -- Ungrounded Circles in Philosophy -- Vicious Circles in Science -- Virtuous Circles and the Demarcation Problem -- Autonomy Platonism and the Demarcation Problem -- Intuition-Based Autonomy Platonism and Naturalism -- Chapter 12 -- Conclusion -- Chapter Twelve Conclusions -- Bibliography -- References -- Index -- Index -- About -- Blank Page -- Blank Page -- Copyright © 2015 by Lexington Books |
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British Library Cataloguing in Publication Information Available -- Library of Congress Cataloging-in-Publication Data -- Printed in the United States of America |
| Summary |
This book includes detailed critical analysis of a wide variety of versions of the indispensability argument, as well as a novel approach to traditional views about mathematics |
| Bibliography |
Includes bibliographical references (pages 225-239) and index |
| Notes |
English |
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Description based on print version record and CIP data provided by publisher; resource not viewed |
| Subject |
Quine, W. V. (Willard Van Orman)
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Benacerraf, Paul
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| SUBJECT |
Benacerraf, Paul fast |
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Quine, W. V. (Willard Van Orman) fast |
| Subject |
Logic, Symbolic and mathematical.
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Mathematics -- Philosophy.
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Platonists.
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PHILOSOPHY -- Logic.
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Logic, Symbolic and mathematical
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Mathematics -- Philosophy
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Platonists
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| Form |
Electronic book
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| LC no. |
2021675692 |
| ISBN |
9780739173138 |
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0739173138 |
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