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Abstractionism: Essays in Philosophy of Mathematics

Philip A Ebert and Marcus Rossberg (eds)

Published in print:
2016
Published Online:
January 2017
ISBN:
9780199645268
eISBN:
9780191755330
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199645268.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

The collection contains an extensive introduction and 16 original papers on the philosophical and mathematical aspects of Abstractionism—a position in the philosophy of mathematics which is a ... More


Introduction to Abstractionism

Philip A. Ebert and Marcus Rossberg

in Abstractionism: Essays in Philosophy of Mathematics

Published in print:
2016
Published Online:
January 2017
ISBN:
9780199645268
eISBN:
9780191755330
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199645268.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

We offer a general introduction to Abstractionism by outlining its history and by presenting the core philosophical and mathematical tenets of the abstractionist projects. We then locate the 16 ... More


Abstraction and Epistemic Entitlement: On the Epistemological Status of Hume’s Principle

Crispin Wright

in Abstractionism: Essays in Philosophy of Mathematics

Published in print:
2016
Published Online:
January 2017
ISBN:
9780199645268
eISBN:
9780191755330
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199645268.003.0008
Subject:
Philosophy, Logic/Philosophy of Mathematics

The abstractionist program of foundations for classical mathematical theories is, like its traditional logicist ancestors, first and foremost an epistemological project. Its official aim is to ... More


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