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Abstractionism: Essays in Philosophy of Mathematics

Philip A Ebert and Marcus Rossberg

Abstract

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 development of Frege’s original Logicism. The collection is structured as follows: After an extensive editors’ introduction to the topic of abstractionism, part II contains five contributions that deal with semantics and metaontology of Abstractionism, as well as the so-called Caesar Problem. Part III collects four contributions that discuss abstractionist epistemology, focusing on the idea of implicit de ... More

Keywords: Abstractionism, abstraction principles, metaontology, semantics, epistemology, logic, application

Bibliographic Information

Print publication date: 2016 Print ISBN-13: 9780199645268
Published to Oxford Scholarship Online: January 2017 DOI:10.1093/acprof:oso/9780199645268.001.0001

Authors

Affiliations are at time of print publication.

Philip A Ebert, editor
University of Stirling

Marcus Rossberg, editor
University of Connecticut

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