Chapter

Toward a Defensible Empiricism

Philip Kitcher

in The Nature of Mathematical Knowledge

Published in print April 1985 | ISBN: 9780195035414
Published online November 2003 | e-ISBN: 9780199833368 | DOI: http://dx.doi.org/10.1093/0195035410.003.0006
Toward a Defensible Empiricism

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The next stage is to set up the main question for the rest of the book: How is empirical mathematical knowledge possible? The outline of an answer is given: relatively simple experiences provide knowledge of elementary mathematics; the historical process extends the basic mathematical knowledge in extraordinary ways.

Keywords: a priori; apriorism; evolutionary theory; history of mathematics; mathematical knowledge

Chapter.  6102 words. 

Subjects: Philosophy of Mathematics and Logic

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