Strong Boethius' thesis and consequential implication

Journal of Philosophical Logic 26 (5):569-588 (1997)
Abstract
The paper studies the relation between systems of modal logic and systems of consequential implication, a non-material form of implication satisfying "Aristotle's Thesis" (p does not imply not p) and "Weak Boethius' Thesis" (if p implies q, then p does not imply not q). Definitions are given of consequential implication in terms of modal operators and of modal operators in terms of consequential implication. The modal equivalent of "Strong Boethius' Thesis" (that p implies q implies that p does not imply not q) is identified
Keywords Philosophy
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DOI 10.1023/A:1004230028063
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References found in this work BETA
Claudio Pizzi (1977). Boethius' Thesis and Conditional Logic. Journal of Philosophical Logic 6 (1):283 - 302.

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Citations of this work BETA
Lloyd Humberstone (2000). Contra-Classical Logics. Australasian Journal of Philosophy 78 (4):438 – 474.

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