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Logical constants and invariance

Conference contribution
Authors Fredrik Engström
Publication year 2009
Published at Department of Philosophy, Linguistics and Theory of Science
Language en
Keywords Logical constants, quantifiers, invariance
Subject categories Mathematical logic, Logic, Theoretical philosophy


According to Tarski an operation on a domain should be counted as a logical constant iff it is invariant under all permutations of the domain, thus defining logic as the study of permutation invariant operations. Tarski's thesis has been heavily criticized (on good grounds) for generating way to many logical constants. In the last twenty years there have been some alternative suggestions for characterizing logical constancy in terms of invariant operators. I will try to give an introduction to this field and also prove some new results.

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