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Logical Pluralism$
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JC Beall and Greg Restall

Print publication date: 2005

Print ISBN-13: 9780199288403

Published to Oxford Scholarship Online: October 2011

DOI: 10.1093/acprof:oso/9780199288403.001.0001

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Variations & Loose Ends

Variations & Loose Ends

Chapter:
(p.75) Chapter 7 Variations & Loose Ends
Source:
Logical Pluralism
Author(s):

JC Beall

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199288403.003.0007

This chapter presents variations on logical consequence and logical pluralism. If the arguments presented so far are sound, then there are different ways to settle the notion of logical consequence, each equally deserving the title ‘logic’. In this chapter, some other degrees of variation possible for the logical pluralist are considered. It examines an issue raised by such variations, as well as by variations considered in earlier chapters: whether plurality in logic comes only by way of plurality of languages. The chapter concludes by tying up some loose ends, especially with respect to paraconsistency, dialetheism, and the notion of endorsing a logic. Free logic, second-order logic, and higher-order logic are also discussed.

Keywords:   logical consequence, logical pluralism, plurality, languages, paraconsistency, dialetheism, free logic, second-order logic, higher-order logic

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