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  1. The Propositional Logic of Frege’s Grundgesetze: Semantics and Expressiveness.Eric D. Berg & Roy T. Cook - 2017 - Journal for the History of Analytical Philosophy 5 (6).
    In this paper we compare the propositional logic of Frege’s Grundgesetze der Arithmetik to modern propositional systems, and show that Frege does not have a separable propositional logic, definable in terms of primitives of Grundgesetze, that corresponds to modern formulations of the logic of “not”, “and”, “or”, and “if…then…”. Along the way we prove a number of novel results about the system of propositional logic found in Grundgesetze, and the broader system obtained by including identity. In particular, we show that (...)
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