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Reply to Øystein Linnebo and Stewart Shapiro

Abstract:

In reply to Linnebo, I defend my analysis of Tait's argument against the use of classical logic in set theory, and make some preliminary comments on Linnebo's new argument for the same conclusion. I then turn to Shapiro's discussion of intuitionistic analysis and of Smooth Infinitesimal Analysis (SIA). I contend that we can make sense of intuitionistic analysis, but only by attaching deviant meanings to the connectives. Whether anyone can make sense of SIA is open to doubt: doing so would inv...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1080/0020174x.2018.1530829

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Institution:
University of Oxford
Division:
HUMS
Department:
Philosophy Faculty
Oxford college:
All Souls College
Role:
Author
Publisher:
Routledge
Journal:
Inquiry More from this journal
Volume:
62
Issue:
7
Pages:
842-858
Publication date:
2018-11-17
Acceptance date:
2018-03-07
DOI:
EISSN:
1502-3923
ISSN:
0020-174X
Language:
English
Keywords:
Pubs id:
pubs:951468
UUID:
uuid:caabc48d-adea-49cb-a219-bd1c2ecf7146
Local pid:
pubs:951468
Source identifiers:
951468
Deposit date:
2019-01-28

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