Abstractionism: Essays in Philosophy of Mathematics - Hardcover

 
9780199645268: Abstractionism: Essays in Philosophy of Mathematics
Hardcover
ISBN 10: 0199645264 ISBN 13: 9780199645268
Publisher: OUP Oxford, 2016

Synopsis

Abstractionism, which is a development of Frege's original Logicism, is a recent and much debated position in the philosophy of mathematics. This volume contains 16 original papers by leading scholars on the philosophical and mathematical aspects of Abstractionism. After an extensive editors' introduction to the topic of abstractionism, five contributions deal with the semantics and meta-ontology of Abstractionism, as well as the so-called Caesar Problem. Four papers then discuss abstractionist epistemology, focusing on the idea of implicit definitions and non-evidential warrants (entitlements) to account for a priori mathematical knowledge. This is followed by four chapters concerning the mathematics of Abstractionism, in particular the issue of impredicativity, the Bad Company objection, and the question of abstractionist set theory. Finally, the last section of the book contains three contributions that discuss Frege's application constraint within an abstractionist setting.

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About the Author

Philip A. Ebert received his PhD in Philosophy from the University of St Andrews in 2006 and was a Post Doctoral Fellow at the Arché Centre from 2005-2007. He is currently a Senior Lecturer at the University of Stirling.
; Marcus Rossberg received his PhD in Philosophy from the University of St Andrews in 2006 and was a Post Doctoral Fellow at the Arché Centre from 2005-2008. He is currently an Associate Professor at the University of Connecticut.

"About this title" may belong to another edition of this title.

Publisher
OUP Oxford
Publication date
2016
Language
English
ISBN 10 
0199645264
ISBN 13 
9780199645268
Binding
Hardcover
Number of pages
368
Editor
Ebert Philip A, Rossberg Marcus