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Naturalism and Scientific Practice

Mary Leng

in Mathematics and Reality

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199280797
eISBN:
9780191723452
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199280797.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This chapter considers a tension between Quine's naturalism and his confirmational holism that has been pointed out by Penelope Maddy, amongst others. Naturalism requires us to look to science to ... More


The Quinean Backdrop

Mark Colyvan

in The Indispensability of Mathematics

Published in print:
2001
Published Online:
November 2003
ISBN:
9780195137545
eISBN:
9780199833139
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019513754X.003.0002
Subject:
Philosophy, Logic/Philosophy of Mathematics

The thesis that philosophy is continuous with science is defended and distinguished from another influential version of naturalism. Holism is then discussed with particular emphasis on the kind of ... More


Introduction

Mary Leng

in Mathematics and Reality

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199280797
eISBN:
9780191723452
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199280797.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This chapter introduces the indispensability argument for the existence of mathematical objects, presenting it as relying on three premises: (P1) Naturalism, (P2) Confirmational Holism, and (P3) ... More


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