Reference and perspective in intuitionistic logics

Journal of Logic, Language and Information 16 (1):91-115 (2006)
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Abstract

What an intuitionist may refer to with respect to a given epistemic state depends not only on that epistemic state itself but on whether it is viewed concurrently from within, in the hindsight of some later state, or ideally from a standpoint “beyond” all epistemic states (though the latter perspective is no longer strictly intuitionistic). Each of these three perspectives has a different—and, in the last two cases, a novel—logic and semantics. This paper explains these logics and their semantics and provides soundness and completeness proofs. It provides, moreover, a critique of some common versions of Kripke semantics for intuitionistic logic and suggests ways of modifying them to take account of the perspective-relativity of reference.

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John Nolt
University of Tennessee, Knoxville

Citations of this work

Free logic.John Nolt - 2021 - Stanford Encyclopedia of Philosophy.
Truth as an epistemic ideal.John Nolt - 2008 - Journal of Philosophical Logic 37 (3):203 - 237.

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References found in this work

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Intuitionism.A. Heyting - 1956 - Amsterdam,: North-Holland Pub. Co..
Semantical Analysis of Intuitionistic Logic I.Saul A. Kripke - 1963 - In Michael Dummett & J. N. Crossley (eds.), Formal Systems and Recursive Functions. Amsterdam,: North Holland. pp. 92-130.
Proof Methods for Modal and Intuitionistic Logics.Melvin Fitting - 1985 - Journal of Symbolic Logic 50 (3):855-856.
Intuitionistic logic, model theory and forcing.Melvin Fitting - 1969 - Amsterdam,: North-Holland Pub. Co..

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