Chapter

Life Outside Mathematics

Stewart Shapiro

in Philosophy of Mathematics

Published in print October 2000 | ISBN: 9780195139303
Published online November 2003 | e-ISBN: 9780199833658 | DOI: http://dx.doi.org/10.1093/0195139305.003.0009
 Life Outside Mathematics

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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

Chapter.  10451 words. 

Subjects: Philosophy of Mathematics and Logic

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