Platos Problem: An Introduction to Mathematical Platonism Marco Panza

Platos Problem: An Introduction to Mathematical Platonism by Marco Panza
January 21st 2013 | Hardcover | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 324 pages | ISBN: 9780230365483 | 4.65 Mb

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 theMoreWhat 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 Freges and Russells versions of logicism, Hilberts formalism, Gödels platonism, up to the the current debate on Benacerrafs 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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