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Title:Classical logic and its rivals
Author(s):Goodlin, Blair
Director of Research:McCarthy, Timothy G.
Doctoral Committee Chair(s):McCarthy, Timothy G.
Doctoral Committee Member(s):Chandler, Hugh S.; Wagner, Steven J.; Wengert, Robert G.
Department / Program:Philosophy
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Philosophy of Logic
Philosophy of Language
Abstract:Classical logic and a given nonclassical logic are, by definition, incompatible in some sense. In some cases, this incompatibility is innocuous. In other cases, the nonclassical logic is incompatible with classical logic on a fundamental level, such that the two logics can be seen as rival theories of logical entailment and only one of them can succeed. I will explore the structure of these cases of logical rivalry by considering three examples: Dummett’s antirealism, Putnam’s response to results of quantum mechanics, and Tye’s response to vagueness. I will show that, despite the differences between these cases’ motivations and methods, they nevertheless all conform to a particular framework in challenging classical logic. Moreover, these diverse cases all characterize classical logic as the result of an unwarranted generalization from a limited and apparently privileged realm of entailment.
Issue Date:2014-01-16
Rights Information:Copyright 2013 Blair F. Goodlin Jr.
Date Available in IDEALS:2014-01-16
Date Deposited:2013-12

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