Manifest invalidity: Neil Tennant's new argument for intuitionism

Synthese 134 (3):353 - 362 (2003)
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Abstract

In Chapter 7 of The Taming of the True, Neil Tennant provides a new argument from Michael Dummett's ``manifestation requirement'' to the incorrectness of classical logic and the correctness of intuitionistic logic. I show that Tennant's new argument is only valid if one interprets crucial existence claims occurring in the proof in the manner of intuitionists. If one interprets the existence claims as a classical logician would, then one can accept Tennant's premises while rejecting his conclusion of logical revision. Thus, Tennant has provided no evidence that should convince anyone who is not already an intuitionist. Since his proof is a proof for the correctness of intuitionism, it begs the question.

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Jon Cogburn
Louisiana State University

Citations of this work

The logic of logical revision formalizing Dummett's argument.Jon Cogburn - 2005 - Australasian Journal of Philosophy 83 (1):15 – 32.

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References found in this work

The seas of language.Michael Dummett - 1993 - New York: Oxford University Press.
The taming of the true.Neil Tennant - 1997 - New York: Oxford University Press.
Anti-realism and logic: truth as eternal.Neil Tennant - 1987 - New York: Oxford University Press.
The justification of deduction.Michael Dummett - 1978 - In Truth and other enigmas. Cambridge: Harvard University Press.
What is a theory of meaning?Michael Dummett - 1975 - In Samuel D. Guttenplan (ed.), Mind and language. Oxford [Eng.]: Clarendon Press.

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