Chapter

Mathematics and Its Applications

Mark Colyvan

in The Indispensability of Mathematics

Published in print April 2001 | ISBN: 9780195137545
Published online November 2003 | e-ISBN: 9780199833139 | DOI: http://dx.doi.org/10.1093/019513754X.003.0001
                   Mathematics and Its Applications

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Indispensability arguments are introduced and their connection to scientific realism is discussed. The Quine–Putnam indispensability argument for mathematical realism is then outlined. In particular, the argument's dependence on the doctrines of naturalism and holism is established.

Keywords: holism; indispensability argument; mathematical realism; naturalism; Putnam; Quine; realism

Chapter.  7928 words. 

Subjects: Philosophy of Mathematics and Logic

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