Plato's Problem: An Introduction to Mathematical Platonism

Paperback | January 21, 2013

byMarco Panza, Andrea Sereni

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What is mathematics about? And if it is about some sort of mathematical reality, how can we have access to it? This is the problem raised by Plato, which still today is the subject of lively philosophical disputes. This book traces the history of the problem, from its origins to its contemporary treatment. It discusses the answers given by Aristotle, Proclus and Kant, through Frege's and Russell's versions of logicism, Hilbert's formalism, Gödel's platonism, up to the the current debate on Benacerraf's dilemma and the indispensability argument. Through the considerations of themes in the philosophy of language, ontology, and the philosophy of science, the book aims at offering an historically-informed introduction to the philosophy of mathematics, approached through the lenses of its most fundamental problem.

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What is mathematics about? And if it is about some sort of mathematical reality, how can we have access to it? This is the problem raised by Plato, which still today is the subject of lively philosophical disputes. This book traces the history of the problem, from its origins to its contemporary treatment. It discusses the answers give...

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 mathémati...

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Format:PaperbackDimensions:324 pages, 10.65 × 5.66 × 0.66 inPublished:January 21, 2013Publisher:Palgrave MacmillanLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0230365493

ISBN - 13:9780230365490

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Extra Content

Table of Contents

Preface
Terminological Conventions
Introduction
The Origins
From Frege to Gödel (through Hilbert)
Benacerraf's Arguments
Non-conservative Responses to Benacerraf's Dilemma
Conservative Responses to Benacerraf's Dilemma
The Indispensability Argument: Structure and Basic Notions
The Indispensability Argument: The Debate
Conclusion
Notes
References
Index