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A propositional logic with subjunctive conditionals

Published online by Cambridge University Press:  12 March 2014

R. B. Angell
R. B. Angell*
Affiliation:
Ohio Wesleyan University
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Extract

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 the principle of subjunctive contrariety, i.e., the principle that ‘If p were true then q would be true’ and ‘If p were true then q would be false’ are incompatible.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 27 , Issue 3 , September 1962 , pp. 327 - 343
Copyright
Copyright © Association for Symbolic Logic 1962

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