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Naturalism in mathematics and the authority of philosophy

Abstract:

Naturalism in the philosophy of mathematics is the view that philosophy cannot legitimately gainsay mathematics. I distinguish between reinterpretation and reconstruction naturalism: the former states that philosophy cannot legitimately sanction a reinterpretation of mathematics (i.e. an interpretation different from the standard one); the latter that philosophy cannot legitimately change standard mathematics (as opposed to its interpretation). I begin by showing that neither form of naturali...

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Publication status:
Published

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Publisher copy:
10.1093/bjps/axi123

Authors


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Institution:
University of Oxford
Division:
HUMS
Department:
Philosophy Faculty
Role:
Author
Journal:
BRITISH JOURNAL FOR THE PHILOSOPHY OF SCIENCE More from this journal
Volume:
56
Issue:
2
Pages:
377-396
Publication date:
2005-06-01
DOI:
EISSN:
1464-3537
ISSN:
0007-0882
Language:
English
Pubs id:
pubs:144080
UUID:
uuid:f4f96825-0065-4ba7-86c9-5399c1db69f2
Local pid:
pubs:144080
Source identifiers:
144080
Deposit date:
2012-12-19

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