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The substitutional analysis of logical consequence

Abstract:

A substitutional account of logical validity for formal first‐order languages is developed and defended against competing accounts such as the model‐theoretic definition of validity. Roughly, a substitution instance of a sentence is defined as the result of uniformly substituting nonlogical expressions in the sentence with expressions of the same grammatical category and possibly relativizing quantifiers. In particular, predicate symbols can be replaced with formulae possibly containing ad...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1111/nous.12256

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Institution:
University of Oxford
Division:
HUMS
Department:
Philosophy Faculty
Oxford college:
New College
Role:
Author
Publisher:
Wiley Publisher's website
Journal:
Noûs Journal website
Volume:
54
Issue:
2
Pages:
431-450
Publication date:
2018-06-08
Acceptance date:
2018-05-19
DOI:
EISSN:
1468-0068
ISSN:
0029-4624
Language:
English
Pubs id:
pubs:848198
UUID:
uuid:3eb5fbd1-ef1b-4204-9542-98b0edfaf0b1
Local pid:
pubs:848198
Source identifiers:
848198
Deposit date:
2018-05-19

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