Lexicon of Arguments

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Berka I187
Completeness/intuitionistic predicate calculus/Berka: the completeness with regard to the semantics of Kripke and Lorenzen has been proved several times, but always with classical means.
Cf. >Kripke Semantics.
An intuitionist completeness proof has not yet been found. On the contrary. Kreisel (1962)(2) proved that the intuitionist predicate calculus follows intuitionistically from the intuitionist Church thesis.
>Church thesis, >Intuitionism, >Predicate calculus.


2. G. Kreisel. On Weak Completeness of Intuitionistic Predicate Logic. J.Symbolic Logic Volume 27, Issue 2 (1962), 139-158.

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