Chapter

Monism and Beyond

Penelope Maddy

in Realism in Mathematics

Published in print September 1992 | ISBN: 9780198240358
Published online November 2003 | e-ISBN: 9780191597978 | DOI: http://dx.doi.org/10.1093/019824035X.003.0005

Series: Clarendon Paperbacks

 Monism and Beyond

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Outlines a physicalistic version of set theoretic realism (a sort of monism), and compares and contrasts it with Field's nominalism, with structuralism, and with modalism. I conclude that, despite metaphysical differences, versions of all these views share the new challenge raised in Ch. 4: how are new axiom candidates to be rationally evaluated?

Keywords: Field; modalism; monism; nominalism; physicalism; set theoretic realism; structuralism

Chapter.  12751 words. 

Subjects: Philosophy of Mathematics and Logic

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