London and Basingstoke: Palgrave-Macmillan (2013)

Authors
Andrea Sereni
Scuola Universitaria Superiore IUSS Pavia
Abstract
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.
Keywords Mathematics Philosophy
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Call number QA8.4.P35313 2013
ISBN(s) 9780230365490   0230365485   0230365493
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References found in this work BETA

Theory and Evidence.Clark N. Glymour - 1980 - Princeton University Press.
A Confutation of Convergent Realism.Larry Laudan - 1981 - Philosophy of Science 48 (1):19-49.

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Citations of this work BETA

The Epistemological Question of the Applicability of Mathematics.Paola Cantù - 2018 - Journal for the History of Analytical Philosophy 6 (3).

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