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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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(p.216) 10 Logic
Writing the Book of the World

Theodore Sider

Oxford University Press

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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