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Writing the Book of the World$
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Theodore Sider

Print publication date: 2011

Print ISBN-13: 9780199697908

Published to Oxford Scholarship Online: January 2012

DOI: 10.1093/acprof:oso/9780199697908.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 03 December 2021

Logic

Logic

Chapter:
(p.216) 10 Logic
Source:
Writing the Book of the World
Author(s):

Theodore Sider

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199697908.003.0010

The highly general notion of structure lets us raise metaphysical questions about logic. Is it conjunction or disjunction that is most fundamental? (An uncomfortable question! ‐ fortunately we may answer “both”; the joint‐carving notions can contain some redundancy.) Do logical notions carve at the joints? (Surely yes, since they are indispensable in fundamental theories.) Do metalogical notions ‐ such as logical truth and logical consequence ‐ carve at the joints? (Probably not; unlike logical notions they are not needed in fundamental theories.) Is logic classical? (At the fundamental level, yes; but in nonfundamental languages perhaps we should say not, because of vagueness and the liar paradox.)

Keywords:   metalogic, logical consequence, logical truth, logical pluralism, intuitionism, dialetheism, vagueness, liar paradox, classical logic

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