Information functions with applications

Studia Logica 49 (3):387 - 400 (1990)
In the first place, we present the definition and fundamental properties of information functions — functions which establish a correspondence between sets of formulas and the information contained in them. The intuitions for the notion of information stem from the conception of Bar-Hillel and Carnap in [3]. In § 2 we will briefly show how those notions can be applied to the logic of theory change. In § 3 we will use them for proving two theorems about the lattices of classical subtheories and their content.
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