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An example of strongly finite consequence operation with 2ℵ0 standard strengthenings
Studia Logica 39 (4):375 - 379 (1980)
Abstract
Using ideas from Murskii [3], Tokarz [4] and Wroski [7] we construct some strongly finite consequence operation having 2%0 standard strengthenings. In this way we give the affirmative answer to the following question, stated in Tokarz [4]: are there strongly finite logics with the degree of maximality greater than 0?My notes
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References found in this work
Matrix approach in methodology of sentential calculi.Ryszard Wójcicki - 1973 - Studia Logica 32 (1):7 - 39.
The logics stronger than Łukasiewicz's three valued sentential calculus-the notion of degree of maximality versus the notion of degree of completeness.Ryszard Wójcicki - 1974 - Studia Logica 33 (2):201-214.
A strongly finite logic with infinite degree of maximality.Marek Tokarz - 1976 - Studia Logica 35 (4):447 - 451.
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