Chapter

Relevance in Reasoning

Neil Tennant

in The Oxford Handbook of Philosophy of Mathematics and Logic

Published in print March 2005 | ISBN: 9780195148770
Published online July 2005 | e-ISBN: 9780199835560 | DOI: http://dx.doi.org/10.1093/0195148770.003.0023

Series: Oxford Handbooks in Philosophy

Relevance in Reasoning

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This chapter explains an approach to relevantization of logical reasoning that seeks to maximize epistemic gain. It does so by retaining Disjunctive Syllogism and making admissible only a restricted rule of Cut. The virtue of this approach is that one can show that the resulting relevant logic is adequate for mathematics and science. In the course of explaining this kind of relevant logic, we compare and contrast our approach with the Anderson-Belnap tradition.

Keywords: logic; disjunctive syllogism; cut; relevant logic; mathematics; science; Anderson; Belnap

Chapter.  11861 words. 

Subjects: Philosophy of Mathematics and Logic

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