Logicality and Invariance

Bulletin of Symbolic Logic 14 (1):29-68 (2006)
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What is a logical constant? The question is addressed in the tradition of Tarski's definition of logical operations as operations which are invariant under permutation. The paper introduces a general setting in which invariance criteria for logical operations can be compared and argues for invariance under potential isomorphism as the most natural characterization of logical operations.
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Compositionality Solves Carnap’s Problem.Bonnay, Denis & Westerståhl, Dag
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