Philosophy Lexicon of Arguments

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Cresswell, M.J.
 
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Second Order Logic, HOL I 134
Imbroglio / Geach / Cresswell: e.g. Each of two Turks fought against each of two Greeks. - Problem: the following does not work: each of two Greeks was F and each of two Turks was F.
I 135
E.g. most fundamentalists are creationists. - Problem:it is not easy with two predicates F and C - it is not possible in 1st order logic to bring it in an order.
I 137
Solution: 2nd order Logic: here we can say that there is a 1:1 function of F-creationists to fundamentalists, but not vice versa. - (> Everyday language).

Cr I
M. J. Cresswell
Semantical Essays (Possible worlds and their rivals) Dordrecht Boston 1988

Cr II
M. J. Cresswell
Structured Meanings Cambridge Mass. 1984


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Ed. Martin Schulz, access date 2017-03-24