E, R AND γ

Author:

Meyer Robert K.,Michael Dunn J.

Abstract

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

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference18 articles.

1. Topological representation of distributive lattices and Brouwerian logics;Stone;Časopis pro peštování matematiky a fysiky,1937

2. A System for Strict Implication

3. Modalities in Ackermann's “rigorous implication”;Anderson;this Journal,1959

4. Intensional models for first-degree formulas;Belnap;this Journal,1967

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