Manifest invalidity: Neil Tennant's new argument for intuitionism

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

Jon Cogburn
Louisiana State University
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.
Keywords Philosophy   Philosophy   Epistemology   Logic   Metaphysics   Philosophy of Language
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Reprint years 2004
DOI 10.1023/A:1022921622763
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The Logic of Logical Revision Formalizing Dummett's Argument.Jon Cogburn - 2005 - Australasian Journal of Philosophy 83 (1):15 – 32.

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