Classicality Lost: K3 and LP after the Fall

Thought: A Journal of Philosophy 6 (1):43-53 (2017)
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Abstract

It is commonly held that the ascription of truth to a sentence is intersubstitutable with that very sentence. However, the simplest subclassical logics available to proponents of this view, namely K3 and LP, are hopelessly weak for many purposes. In this article, I argue that this is much more of a problem for proponents of LP than for proponents of K3. The strategies for recapturing classicality offered by proponents of LP are far less promising than those available to proponents of K3. This undermines the ability of proponents LP to engage in public reasoning in classical domains.

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Matthias Jenny
Massachusetts Institute of Technology

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References found in this work

Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
Relevance.D. Sperber & Deirdre Wilson - 1986 - Communication and Cognition: An Interdisciplinary Quarterly Journal 2.
The Thought: A Logical Inquiry.Gottlob Frege - 1956 - Mind 65 (259):289-311.

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