Logical operations |
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Authors: | Vann McGee |
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Affiliation: | (1) Philosophy Department, Rutgers University, 08903 New Brunswick, NJ, USA |
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Abstract: | 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.Thanks to Shaughan Levine, Gila Sher, and the referee for their help. |
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