Classical logic and its rivals

Goodlin, Blair

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https://hdl.handle.net/2142/46768 Copy

Description

Title

Classical logic and its rivals

Author(s)

Goodlin, Blair

Issue Date

2014-01-16T18:01:50Z

Director of Research (if dissertation) or Advisor (if thesis)

McCarthy, Timothy G.

Doctoral Committee Chair(s)

McCarthy, Timothy G.

Committee Member(s)

• Chandler, Hugh S.
• Wagner, Steven J.
• Wengert, Robert G.

Department of Study

Philosophy

Discipline

Philosophy

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

Ph.D.

Degree Level

Dissertation

Keyword(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.

Graduation Semester

2013-12

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http://hdl.handle.net/2142/46768

Copyright and License Information

Copyright 2013 Blair F. Goodlin Jr.

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