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A Determination of all Possible Systems of Strict Implication

Ward, Morgan (1935) A Determination of all Possible Systems of Strict Implication. American Journal of Mathematics, 57 (2). pp. 261-266. ISSN 0002-9327. https://resolver.caltech.edu/CaltechAUTHORS:20200327-154919811

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Abstract

It is known that the postulates chosen by C. I. Lewis for his "system of strict implication" are not categorical, since three distinct types of such a system have been shown to exist. I shall prove here that the three types already discovered are the only ones possible. The inclusion of an additional modal postulate. will therefore make the system categorical, and allow it to be exhibited as a four-valued truth-value system. The corresponding entscheidung problem may then be solved by the matrix method.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.2307/2371202DOIArticle
https://www.jstor.org/stable/2371202JSTORArticle
Additional Information:© 1935 Johns Hopkins University Press.
Issue or Number:2
Record Number:CaltechAUTHORS:20200327-154919811
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200327-154919811
Official Citation:Ward, Morgan. “A Determination of All Possible Systems of Strict Implication.” American Journal of Mathematics, vol. 57, no. 2, 1935, pp. 261–266. JSTOR, www.jstor.org/stable/2371202. Accessed 27 Mar. 2020
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102158
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Mar 2020 22:55
Last Modified:27 Mar 2020 22:55

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