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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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Relevance in Reasoning

Relevance in Reasoning

Chapter:
(p.696) Relevance in Reasoning
Source:
The Oxford Handbook of Philosophy of Mathematics and Logic
Author(s):

Neil Tennant (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0195148770.003.0023

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

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