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The Oxford Handbook of Philosophy of Mathematics and Logic$
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Stewart Shapiro

Print publication date: 2005

Print ISBN-13: 9780195148770

Published to Oxford Scholarship Online: July 2005

DOI: 10.1093/0195148770.001.0001

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No Requirement of Relevance

No Requirement of Relevance

Chapter:
(p.727) No Requirement of Relevance
Source:
The Oxford Handbook of Philosophy of Mathematics and Logic
Author(s):

John P. Burgess (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0195148770.003.0024

There are schools of logicians who claim that an argument is not valid unless the conclusion is relevant to the premises. In particular, relevance logicians reject the classical theses that anything follows from a contradiction and that a logical truth follows from everything. This chapter critically evaluates several different motivations for relevance logic, and several systems of relevance logic, finding them all wanting.

Keywords:   logic, validity, contradiction, logical truth, relevance logic

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