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Defining relevant implication in a propositionally quantified S4

Published online by Cambridge University Press:  12 March 2014

Philip Kremer
Philip Kremer*
Affiliation:
Department of Philosophy, Yale University, P.O. Box 208306, New Haven Ct 06520-8306, USA, E-mail: kremer@minerva.cis.yale.edu
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Abstract

R. K. Meyer once gave precise form to the question of whether relevant implication can be defined in any modal system, and his answer was ‘no’. In the present paper, we extend S4, first with propositional quantifiers, to the system S4π+; and then with definite propositional descriptions, to the system S4π+ip. We show that relevant implication can in some sense be defined in the modal system S4π+ip, although it cannot be defined in S4π+.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 62 , Issue 4 , December 1997 , pp. 1057 - 1069
Copyright
Copyright © Association for Symbolic Logic 1997

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References

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