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On an implication function in many-valued systems of logic

Published online by Cambridge University Press:  12 March 2014

Z. P. Dienes
Z. P. Dienes*
Affiliation:
The University of Manchester
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Extract

In a paper J. Łukasiewicz and A. Tarski study the systems arising out of the implication function C (x, y) = min(1, 1 – x + y) and the negation function Nx = 1 – x, where x, y are real numbers between 0 and 1 inclusive. Let us then writeСxy = min(1, 1 – x + y) and Nx = 1 – x. (1)

In this note we shall consider another implication function, namelyС′xy = ССNxyy, (2)

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 14 , Issue 2 , 23 June 1949 , pp. 95 - 97
Copyright
Copyright © Association for Symbolic Logic 1949

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References

1 Comptes rendus des séances de la Société des Sciences et des Lettres de Varsovie, Classe III, vol. 23 (1930) pp. 30–50.