Five observations concerning the intended meaning of the intuitionistic logical constants
Journal of Philosophical Logic 29 (4):409-424 (2000)
| Abstract | This paper contains five observations concerning the intended meaning of the intuitionistic logical constants: (1) if the explanations of this meaning are to be based on a non-decidable concept, that concept should not be that of `proof"; (2) Kreisel"s explanations using extra clauses can be significantly simplified; (3) the impredicativity of the definition of can be easily and safely ameliorated; (4) the definition of in terms of `proofs from premises" results in a loss of the inductive character of the definitions of and and (5) the same occurs with the definition of in terms of `proofs with free variables". | |||||||||
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Ole T. Hjortland (2009). The Structure of Logical Consequence : Proof-Theoretic Conceptions. Dissertation, University of St Andrews
Peter Pagin (1994). Knowledge of Proofs. Topoi 13 (2):93-100.
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Francesco Paoli (2007). Implicational Paradoxes and the Meaning of Logical Constants. Australasian Journal of Philosophy 85 (4):553 – 579.
Enrico Martino & Gabriele Usberti (1994). Temporal and Atemporal Truth in Intuitionistic Mathematics. Topoi 13 (2):83-92.
Gustavo Fernández Díez (2000). Kolmogorov, Heyting and Gentzen on the Intuitionistic Logical Constants. Crítica 32 (96):43 - 57.
Alexander Yashin (1999). New Intuitionistic Logical Constants and Novikov Completeness. Studia Logica 63 (2):151-180.
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