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The Relevance Properties of Core Logic

Neil Tennant

in Core Logic

Published in print:
2017
Published Online:
October 2017
ISBN:
9780198777892
eISBN:
9780191823367
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198777892.003.0010
Subject:
Philosophy, Logic/Philosophy of Mathematics

Ironically Anderson and Belnap argue for the rejection of Disjunctive Syllogism by means of an argument that appears to employ it. We aim to establish a ‘variable-sharing’ result for Classical Core ... More


Epistemic Gain

Neil Tennant

in Core Logic

Published in print:
2017
Published Online:
October 2017
ISBN:
9780198777892
eISBN:
9780191823367
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198777892.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics

Core Logic avoids the Lewis First Paradox, even though it contains ∨-Introduction, and a form of ∨-Elimination that permits core proof of Disjunctive Syllogism. The reason for this is that the method ... More


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