A propositional logic with subjunctive conditionals

Journal of Symbolic Logic 27 (3):327-343 (1962)
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Abstract

In this paper a formalized logic of propositions, PA1, is presented. It is proven consistent and its relationships to traditional logic, to PM ([15]), to subjunctive (including contrary-to-fact) implication and to the “paradoxes” of material and strict implication are developed. Apart from any intrinsic merit it possesses, its chief significance lies in demonstrating the feasibility of a general logic containing theprinciple of subjunctive contrariety, i.e., the principle that ‘Ifpwere true thenqwould be true’ and ‘Ifpwere true thenqwould be false’ are incompatible.

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References found in this work

The logic of causal propositions.Arthur W. Burks - 1951 - Mind 60 (239):363-382.
Intensional relations.Everett J. Nelson - 1930 - Mind 39 (156):440-453.

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