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Logical Pluralism

ISBN-10: 0199288410

ISBN-13: 9780199288410

Edition: 2005

Authors: Greg Restall, J. C. Beall

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Description:

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them. In particular, they argue that broadly classical, intuitionistic, and relevant accounts of deductive logic are genuine logical consequence relations; we should not search for one true logic, since there are many. Their conclusions have profound implications for manylinguists as well as for philosophers.
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Book details

Copyright year: 2005
Publisher: Oxford University Press, Incorporated
Publication date: 2/2/2006
Binding: Paperback
Pages: 160
Size: 5.25" wide x 8.25" long x 0.50" tall
Weight: 0.440
Language: English

Preliminaries
Introduction
Logical Consequence
Propositions
Arguments
Necessity
Normativity
Formality
Cases
Pluralism Defined
What Kind of Claim is Logical Pluralism?
Logical Pluralism in a Nutshell
The Case for Logical Pluralism
What Lies Ahead?
Logics
Classical Logic
Specification of Cases
Admissibility
Emergence of Plurality
Applications
Summary
Relevant Logic
Specification of Cases
Relevant Consequence
Admissibility
Pluralism
Applications
Summary
Constructive Logic
Cases as Stages
Admissibility
Applications
Variations & Loose Ends
Free Logics
Second- and Higher-Order Logics
Languages and Logics
Loose Ends
Objections, Replies, Other Directions
General Objections
Specific Objections
Other Directions
Recognising Plurality
Exploiting Plurality
Plurality and Proofs
Index