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.

Other Versions

reprint Angell, R. B. (1970) "A Propositional Logic with Subjunctive Conditionals". Journal of Symbolic Logic 35(3):464-465

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Citations of this work

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Off-Topic: A New Interpretation of Weak-Kleene Logic.Jc Beall - 2016 - Australasian Journal of Logic 13 (6).

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References found in this work

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

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