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Philosophy of MathematicsStructure and Ontology$
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Stewart Shapiro

Print publication date: 2000

Print ISBN-13: 9780195139303

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0195139305.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 07 July 2020

Life Outside Mathematics

Life Outside Mathematics

Structure and Reality

(p.243) 8 Life Outside Mathematics
Philosophy of Mathematics

Stewart Shapiro (Contributor Webpage)

Oxford University Press

This final chapter extends structuralism beyond mathematics, to science and to ordinary discourse. Structuralism has a line on a partial account of how mathematics applies to the material world. The theorist postulates that a given area of the world exemplifies a given mathematical structure. One consequence of this perspective is a blurring of the boundary between mathematics and science. The book closes with some speculative remarks about the extent to which ordinary objects – tables, rocks, electrons – can be construed as places in structures.

Keywords:   application, object, science, structuralism, structure

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