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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.

Information

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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References

[1]Ackermann, W., Begründung einer strengen Implikation, this Journal, vol. 21 (1956), pp. 113–128.Google Scholar
[2]Anderson, Alan Ross and Belnap, Nuel D., A modification of Ackermann's “rigorous implication,” [abstract], this Journal, vol. 23 (1958), pp. 457–458.Google Scholar
[3]Belnap, Nuel D. Jr., Entailment and relevance, forthcoming in this Journal.Google Scholar
[4]Burks, Arthur, The logic of causal propositions, Mind, n.s. vol. 60 (1951), pp. 363–383.CrossRefGoogle Scholar
[5]Church, Alonzo, Introduction to mathematical logic, Vol. 1 (1956).Google Scholar
[6]Copi, Irving, Symbolic logic (1954).Google Scholar
[7]Downing, P. B., Subjunctive conditionals, time order and causation, Proceedings of the Aristotelian Society, n.s. vol. LIX (1959).Google Scholar
[8]Lewis, C. I., Implication and the algebra of logic, Mind, vol. 21 (1912), pp. 522–531.CrossRefGoogle Scholar
[9]Lewis, C. I., Survey of symbolic logic (1918).CrossRefGoogle Scholar
[10]Lewis, C. I. and Langford, C. H., Symbolic logic (1932).Google Scholar
[11]Nelson, Everett J., Intensional relations, Mind, n.s. vol. 39 (1930), pp. 440–453.CrossRefGoogle Scholar
[12]Nelson, Everett J., Three logical principles of intension, Monist, vol. 43 (1933), pp. 268–284.CrossRefGoogle Scholar
[13]Rosser, J. Barkley, Logic for mathematicians (1953).Google Scholar
[14]Strawson, P. F., Introduction to logical theory (1952).Google Scholar
[15]Whitehead, A. N. and Russell, Bertrand, Principia mathematica, Vol. 1 (1925).Google Scholar