Logical operations

Journal of Philosophical Logic 25 (6):567 - 580 (1996)
Tarski and Mautner proposed to characterize the "logical" operations on a given domain as those invariant under arbitrary permutations. These operations are the ones that can be obtained as combinations of the operations on the following list: identity; substitution of variables; negation; finite or infinite disjunction; and existential quantification with respect to a finite or infinite block of variables. Inasmuch as every operation on this list is intuitively "logical", this lends support to the Tarski-Mautner proposal.
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DOI 10.1007/BF00265253
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Charles Parsons (2004). Structuralism and Metaphysics. Philosophical Quarterly 54 (214):56--77.
Charlie Kurth (2011). Logic for Morals, Morals From Logic. Philosophical Studies 155 (2):161-180.
Agustín Rayo (2007). Plurals. Philosophy Compass 2 (3):411–427.
Enrique Casanovas (2007). Logical Operations and Invariance. Journal of Philosophical Logic 36 (1):33 - 60.

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