Relevant Logic and the Philosophy of Mathematics

Philosophy Compass 7 (7):481-494 (2012)
Abstract
This paper sets out three programmes that attempt to use relevant logic as the basis for a philosophy of mathematics. Although these three programmes do not exhaust the possible approaches to mathematics through relevant logic, they are fairly representative of the current state of the field. The three programmes are compared and their relative strengths and weaknesses set out. At the end of the paper I examine the consequences of adopting each programme for the realist debate about mathematical objects
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DOI 10.1111/j.1747-9991.2012.00496.x
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Situations and Attitudes.Jon Barwise & John Perry - 1981 - Journal of Philosophy 78 (11):668-691.
Realism in Mathematics.Penelope Maddy - 1990 - Oxford University Prress.
Universal Logic.Ross Brady - 2006 - CSLI Publications.

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