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Truth and the Absence of Fact$
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Hartry Field

Print publication date: 2001

Print ISBN-13: 9780199242894

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0199242895.001.0001

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Indeterminacy, Degree of Belief, and Excluded Middle

Indeterminacy, Degree of Belief, and Excluded Middle

Chapter:
(p.278) 10 Indeterminacy, Degree of Belief, and Excluded Middle
Source:
Truth and the Absence of Fact
Author(s):

Hartry Field (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0199242895.003.0010

Discusses the question of how to reconcile the acceptance of indeterminacy in one's own language with the acceptance of a minimal notion of truth. Argues that regarding a sentence of one's own language as indeterminate involves adopting non‐standard laws of thought for it: not necessarily a non‐standard logic, but non‐standard degrees of belief that do not obey the laws of classical probability. (A postscript gives an alternative, somewhat similar in spirit, where the laws of logic are revised as well.) The view is compared to a recent suggestion by Stephen Leeds, that we not recognize any indeterminacy in our own language other than indeterminacy as to how to translate it into a privileged sub‐part of the language, the vocabulary we take seriously even in our most serious theorizing.

Keywords:   continuum hypothesis, degree of belief, excluded middle, indeterminacy, Stephen Leeds, probability, supervaluation, vagueness

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