ENGLISH

Plato's Problem: An Introduction to Mathematical Platonism

By Marco Panza , Andrea Sereni

Book information

Publisher
Palgrave Macmillan
Year
2013
ISBN
0230365485, 9780230365483
Google Books ID
4Zq3DchGVR4C
Language
english
Format
PDF
Filesize
5 MB (5022118 bytes)
Pages
xvi+306\323
Orientation
yes
Paginated
yes
Scanned
portrait
Time added
2014-12-06 11:28:53
Математика;Философия математики

Description

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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