Philosophy of Mathematics and Its Logic: Introduction

Stewart Shapiro

in The Oxford Handbook of Philosophy of Mathematics and Logic

Published in print June 2007 | ISBN: 9780195325928
Published online September 2009 | e-ISBN: 9780199892082 | DOI:

Series: Oxford Handbooks

Philosophy of Mathematics and Its Logic: Introduction

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Mathematics plays an important role in virtually every scientific effort, no matter what part of the world it is aimed at. There is scarcely a natural or a social science that does not have substantial mathematics prerequisites. The burden on any complete philosophy of mathematics is to show how mathematics is applied to the material world, and to show how the methodology of mathematics (whatever it may be) fits into the methodology of the sciences (whatever it may be). In addition to its role in science, mathematics itself seems to be a knowledge-gathering activity. The philosophy of mathematics is, at least in part, a branch of epistemology. However, mathematics is at least prima facie different from other epistemic endeavors.

Keywords: mathematics; philosophy of mathematics; methodology of mathematics; epistemology; material world; logic

Article.  11718 words. 

Subjects: Philosophy of Mathematics and Logic

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