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Deductive theories and non-deductive knowledge

Abstract:
I start by briefly considering three different epistemological conceptions associated with deductive theories. I then relate the conceptions to the debate about whether non-deductive knowledge of mathematical claims is possible. The hope is that getting clearer about the different types of deductive science sheds light on whether a mathematical statement can be known without anyone having a proof of it.
Publication status:
Accepted
Peer review status:
Reviewed (other)

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Institution:
University of Oxford
Division:
HUMS
Department:
Philosophy Faculty
Oxford college:
Wadham College
Role:
Author
ORCID:
0000-0001-7610-8606


Acceptance date:
2023-02-20
Event title:
The Heuristic View: Logic, Mathematics, and Science
Event location:
Rome, Italy
Event website:
https://philevents.org/event/show/103346
Event start date:
2023-02-20
Event end date:
2023-02-23


Language:
English
Keywords:
Pubs id:
1556929
Local pid:
pubs:1556929
Deposit date:
2023-11-01
ARK identifier:

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