An example of strongly finite consequence operation with 2ℵ0 standard strengthenings

Studia Logica 39 (4):375 - 379 (1980)
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?
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