If-then and strict implication: A response to Grandy's note

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In response to R. E. Grandy's (see record 1979-28135-001) criticism of the author's (see record 1979-22515-001) article on natural logic, the properties of “if” and of C. I. Lewis's (1918) connective of “strict implication” are compared. First, several examples indicate that “if” does not require that the consequent clause be deducible from the antecedent or that any necessity inhere in the antecedent-consequent relation. Second, a conditional-proof schema discussed by Grandy, which is not valid for strict implication, is valid for if-then. The dissimilarities are such as to make strict implication a poor model for “if.” (8 ref) (PsycINFO Database Record (c) 2006 APA, all rights reserved)

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