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A note concerning the paradoxes of strict implication and Lewis's system SI

Published online by Cambridge University Press:  12 March 2014

Sören Halldén
Sören Halldén*
Affiliation:
Upsala University
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Extract

It has been shown by Lewis and Langford that the postulate B8,

is not deducible in SI. From this it follows that neither are the paradoxes of strict implication deducible in that system. However, the following weaker—but perhaps philosophically equally important—analogues are deducible:

Type
Articles
Information
The Journal of Symbolic Logic , Volume 13 , Issue 3 , December 1948 , pp. 138 - 139
Copyright
Copyright © Association for Symbolic Logic 1948

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References

2 From Symbolic logic.

3 This interesting fact was pointed out by Nelson, E. J. in his paper, Intensional relations, Mind, n. s. vol. 39 (1930), pp. 440–453.CrossRefGoogle Scholar