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Palgrave Macmillan

Plato's Problem

An Introduction to Mathematical Platonism

  • Book
  • © 2013

Overview

Authors:
  1. Marco Panza

    1. CNRS, IHPST, Paris, France

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    You can also search for this author in PubMed   Google Scholar

  2. Andrea Sereni

    1. San Raffaele University, Italy

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Introduction

    • Marco Panza, Andrea Sereni
    Pages 1-15

  3. The Origins

    • Marco Panza, Andrea Sereni
    Pages 16-44

  4. From Frege to Gödel (Through Hilbert)

    • Marco Panza, Andrea Sereni
    Pages 45-98

  5. Benacerraf’s Arguments

    • Marco Panza, Andrea Sereni
    Pages 99-111

  6. Non-conservative Responses to Benacerraf’s Dilemma

    • Marco Panza, Andrea Sereni
    Pages 112-148

  7. Conservative Responses to Benacerraf’s Dilemma

    • Marco Panza, Andrea Sereni
    Pages 149-195

  8. The Indispensability Argument: Structure and Basic Notions

    • Marco Panza, Andrea Sereni
    Pages 196-216

  9. The Indispensability Argument: The Debate

    • Marco Panza, Andrea Sereni
    Pages 217-249

  10. Concluding Remarks

    • Marco Panza, Andrea Sereni
    Pages 250-254

  11. Back Matter

    Pages 255-306
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Keywords

About this book

What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism.

Authors and Affiliations

  • CNRS, IHPST, Paris, France

    Marco Panza

  • San Raffaele University, Italy

    Andrea Sereni

About the authors

MARCO PANZA is Research Professor at the CNRS. He is the author and editor of several books and papers in the domains of history and philosophy of mathematics. Including Analysis and sinthesis in Mathematics (ed., with M. Otte), 1997; Isaac Newton, 2003; Newton et l'origine de l'analyse, 1664-1666, 2005; Nombres. Eléments de mathématiques pour philosophes, 2007.
ANDREA SERENI is Lecturer at San Raffaele University, Milan, Italy. He has been a visiting scholar at Arché Centre at the University of St. Andrews. He has taught courses at the Universities of Modena and Reggio Emilia, Parma, and Bologna. His teaching, research and publications cover philosophy of mathematics, epistemology, and philosophy of language.

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