Classical second-order intensional logic with maximal propositions

Journal of Philosophical Logic 6 (1):1 - 31 (1977)
By the standards presented in the Introduction, CMFC2 is deficient on at least one ontological ground: ‘∀’ is a syncategorematic expression and so CMFC2 is not an ideal language. To some there may be an additional difficulty: any two wffs provably equivalent in the classical sense are provably identical. We hope in sequel to present systems free of these difficulties, free either of one or the other, or perhaps both.This work was done with the aid of Canada Council Grant S74-0551-S1
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DOI 10.1007/BF00262046
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Alonzo Church (1944). Introduction to Mathematical Logic. London, H. Milford, Oxford University Press.

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