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Autonomy Platonism and the indispensability argument / / Russell Marcus



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Autore: Marcus Russell <1966-> Visualizza persona
Titolo: Autonomy Platonism and the indispensability argument / / Russell Marcus Visualizza cluster
Pubblicazione: Lanham, Maryland : , : Lexington Books, , 2015
©2015
Descrizione fisica: 1 online resource (259 p.)
Disciplina: 160
Soggetto topico: Logic, Symbolic and mathematical
Mathematics - Philosophy
Platonists
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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 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
Sommario/riassunto: <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>
Titolo autorizzato: Autonomy Platonism and the indispensability argument  Visualizza cluster
ISBN: 0-7391-7313-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910813846503321
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