Journal of Symbolic Logic 62 (4):1057-1069 (1997)

Philip Kremer
University of Toronto at Scarborough
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+ lp . We show that relevant implication can in some sense be defined in the modal system S4π+ lp , although it cannot be defined in S4π+
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DOI 10.2307/2275626
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References found in this work BETA

On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
Semantical Analysis of Modal Logic I. Normal Propositional Calculi.Saul A. Kripke - 1963 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (5‐6):67-96.
Symbolic Logic.C. I. Lewis & C. H. Langford - 1934 - Erkenntnis 4 (1):65-66.
Propositional Quantifiers in Modal Logic.Kit Fine - 1970 - Theoria 36 (3):336-346.

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Citations of this work BETA

Logical Consequence as Truth-Preservation.Stephen Read - 2003 - Logique and Analyse 183 (4):479-493.
A Modal Perspective on Monadic Second-Order Alternation Hierarchies.Antti Kuusisto - 2008 - In Carlos Areces & Robert Goldblatt (eds.), Advances in Modal Logic, Volume 7. CSLI Publications. pp. 231-247.

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