Plato's Problem: An Introduction to Mathematical Platonism by M. PanzaPlato's Problem: An Introduction to Mathematical Platonism by M. Panza

Plato's Problem: An Introduction to Mathematical Platonism

byM. Panza, A. Sereni

Paperback | January 21, 2013

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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.
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...
Title:Plato's Problem: An Introduction to Mathematical PlatonismFormat:PaperbackDimensions:324 pages, 8.5 × 5.51 × 0 inPublished:January 21, 2013Publisher:Palgrave Macmillan UKLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0230365493

ISBN - 13:9780230365490


Table of Contents

Terminological Conventions
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