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E, R AND γ

Published online by Cambridge University Press:  12 March 2014

Robert K. Meyer and
J. Michael Dunn
Robert K. Meyer
Affiliation:
Indiana University
J. Michael Dunn
Affiliation:
Indiana University
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Extract

By γ, we mean the rule, “From ├ A and ├ Ā V B, infer ├ B”.1 This rule has played an important and a controversial role in a set of relevant logics free of certain well-known paradoxes of implication, like AĀ-→B and A-→(B-→B). Among these logics we count the pioneering systems of strenge Implikation presented by Ackermann in [1],2 as well as the Anderson-Belnap systems E of entail-ment and R of relevant implication.3

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Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 3 , 17 November 1969, pp. 460 - 474
Copyright
Copyright © Association for Symbolic Logic 1969

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References

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