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,
Godel'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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