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A formalization of the C-O propositional calculus

Published online by Cambridge University Press:  24 October 2008

Alan Rose
Alan Rose
Affiliation:
King's CollegeAberdeen
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Extract

In this paper we formalize the two-valued propositional calculus with implication and the logical constant 0 (denoting a false statement), as primitives. We can define the logical constant 1 (denoting a true statement), by

and we can define negation by NP = df. CP0.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 4 , October 1951 , pp. 635 - 636
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

* Łukasiewicz, Jan, ‘The shortest axiom of the implicational calculus of propositions’, Proc. Roy. Irish Acad. (A), 52 (1948), 25–33.Google Scholar

* Łukasiewiez, Jan and Tarski, Alfred, ‘Untersuchungen über den Aussagenkalkül’, C.R. Soc. Sci. Varsovie, Classe iii, 23 (1930), 30–50.Google Scholar