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UNINA9910813846503321 |
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Autore |
Marcus Russell <1966-> |
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Titolo |
Autonomy Platonism and the indispensability argument / / Russell Marcus |
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Pubbl/distr/stampa |
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Lanham, Maryland : , : Lexington Books, , 2015 |
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©2015 |
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ISBN |
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Descrizione fisica |
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1 online resource (259 p.) |
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Disciplina |
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Soggetti |
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Logic, Symbolic and mathematical |
Mathematics - Philosophy |
Platonists |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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; 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 PluralismBelieving Our Best Theory and the Double-Talk Argument; Quine's Procedure for Determining the Commitments of a Theory; Mathematization; 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; Traditional Platonism ; The Indispensabilist's Mathematics; Restriction; Ontic Blur and Causality; Modal Uniformity and Temporality; The |
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Indispensabilist's Methods; The Unfortunate Consequences; Other Quinean Indispensability Arguments; Embracing the Unfortunate Consequences ; The Way Forward; Putnam and the Quinean Argument; Putnam's Success Argument; Melia's Two Indispensability Arguments; Resnik's Pragmatic Argument; Other Non-Holistic Indispensability Arguments; 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; 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 PlenitudeFBP 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 |
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Sommario/riassunto |
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<span><span>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. </span></span> |
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