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An Introduction to Paraconsistent Dialetheism

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0025
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter introduces ‘dialetheic’ approaches, according to which Liar sentences are both true and false, indeed both true and not true. (Some contradictions are accepted.) Dialetheism provides ... More


Some Dialetheic Theories

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0026
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter surveys a number of dialetheic theories, pointing out some difficulties with each. The theories differ over the kind of conditionals they contain. The dialetheic theory that in some ways ... More


Intersubstitutivity and the Purpose of Truth

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0014
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter investigates the importance of the intersubstitutivity of True(p) with p, which has to be abandoned in all classical-logic theories. It concedes that minor exceptions to ... More


Kripke's Theory of Truth (Strong Kleene Version)

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter is an exposition of the strong Kleene version of Kripke's fixed point semantics, and the theories of truth that can be obtained from it. Emphasis is put on the distinction between ... More


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