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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Reprint years 2004, 2005
DOI 10.1023/A:1004230028063
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References found in this work BETA
The Development of Logic.W. C. Kneale - 1962 - Oxford University Press.
Verification, Falsification, and Cancellation in ${\Rm KT}$.Timothy Williamson - 1990 - Notre Dame Journal of Formal Logic 31 (2):286-290.
Boethius' Thesis and Conditional Logic.Claudio Pizzi - 1977 - Journal of Philosophical Logic 6 (1):283 - 302.

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Citations of this work BETA
Logics of Nonsense and Parry Systems.Thomas Macaulay Ferguson - 2015 - Journal of Philosophical Logic 44 (1):65-80.
Contra-Classical Logics.Lloyd Humberstone - 2000 - Australasian Journal of Philosophy 78 (4):438 – 474.

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