Mathematical Knowledge

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Oxford, England: Oxford University Press (2007)
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Abstract

What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions.

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QA8.4.M385 2007

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9780199228249   0199228248

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Chapters

What is the problem of mathematical knowledge?Michael Potter
What's there to know? A Fictionalist Approach to Mathematical Knowledge.Mary Leng
Is there a problem of induction for mathematics?  (pages 57-71)Alan Baker
Mathematical recreation versus mathematical knowledge.  (pages 109--122)Mark Colyvan
Scientific Platonism.  (pages 123-149)Alexander Paseau
On quantifying into predicate position: Steps towards a new (tralist) perspective.  (pages 150--74)Crispin Wright

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Mathematical Knowledge, edited by Mary Leng, Alexander Paseau, and Michael Potter. [REVIEW]E. Chudnoff - 2009 - Mind 118 (471):846-850.
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Author Profiles

Michael Potter
Cambridge University
A. C. Paseau
University of Oxford
Mary Leng
University of York

Citations of this work

What is the Benacerraf Problem?Justin Clarke-Doane - 2017 - In Fabrice Pataut Jody Azzouni, Paul Benacerraf Justin Clarke-Doane, Jacques Dubucs Sébastien Gandon, Brice Halimi Jon Perez Laraudogoitia, Mary Leng Ana Leon-Mejia, Antonio Leon-Sanchez Marco Panza, Fabrice Pataut Philippe de Rouilhan & Andrea Sereni Stuart Shapiro (eds.), New Perspectives on the Philosophy of Paul Benacerraf: Truth, Objects, Infinity (Fabrice Pataut, Editor). Springer.
There is No Easy Road to Nominalism.M. Colyvan - 2010 - Mind 119 (474):285-306.
What Are Mathematical Coincidences ?M. Lange - 2010 - Mind 119 (474):307-340.
Predication as Ascription.David Liebesman - 2015 - Mind 124 (494):517-569.

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