Autonomy Platonism and the indispensability argument /

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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.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Marcus, Russell, 1966- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Lanham : Lexington Books, [2015]
Temas:
Quine, W. V. > (Willard Van Orman)
Benacerraf, Paul.
Benacerraf, Paul
Logic, Symbolic and mathematical.
Mathematics > Philosophy.
Platonists.
Logique symbolique et mathématique.
Mathématiques > Philosophie.
PHILOSOPHY > Logic.
Logic, Symbolic and mathematical
Mathematics > Philosophy
Platonists
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.
  • 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.
  • British Library Cataloguing in Publication Information Available
  • Library of Congress Cataloging-in-Publication Data
  • Printed in the United States of America.

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