1. Carnap's Problem for Intuitionistic Propositional Logic.
- Author
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Tong, Haotian and Westerståhl, Dag
- Subjects
- *
HEYTING algebras , *KRIPKE semantics , *TRUTH functions (Mathematical logic) , *NUCLEAR fragmentation - Abstract
We show that intuitionistic propositional logic is Carnap categorical: the only interpretation of the connectives consistent with the intuitionistic consequence relation is the standard interpretation. This holds with respect to the most well-known semantics relative to which intuitionistic logic is sound and complete; among them Kripke semantics, Beth semantics, Dragalin semantics, topological semantics, and algebraic semantics. These facts turn out to be consequences of an observation about interpretations in Heyting algebras. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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