Inquiry: An Interdisciplinary Journal of Philosophy 11 (1-4):295 – 320 (1968)
AbstractThe logical properties of the 'if-then' connective of ordinary English differ markedly from the logical properties of the material conditional of classical, two-valued logic. This becomes apparent upon examination of arguments in conversational English which involve (noncounterfactual) usages of if-then'. A nonclassical system of propositional logic is presented, whose conditional connective has logical properties approximating those of 'if-then'. This proposed system reduces, in a sense, to the classical logic. Moreover, because it is equivalent to a certain nonstandard three-valued logic, its decision procedure is almost as efficient as that of the classical logic. It therefore provides a rational and convenient system in which to formalize English arguments.
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References found in this work
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Aristotle's Syllogistic From the Standpoint of Modern Formal Logic.Jan Łukasiewicz - 1951 - Oxford, England: Garland.
The Logic of Conditionals.Ernest Adams - 1965 - Inquiry: An Interdisciplinary Journal of Philosophy 8 (1-4):166 – 197.
Citations of this work
Uncertainty and the de Finetti Tables.Jean Baratgin, David E. Over & Guy Politzer - 2013 - Thinking and Reasoning 19 (3-4):308-328.
New Foundations for Imperative Logic I: Logical Connectives, Consistency, and Quantifiers.Peter B. M. Vranas - 2008 - Noûs 42 (4):529-572.
The Psychology of Uncertainty and Three-Valued Truth Tables.Jean Baratgin, Guy Politzer, David E. Over & Tatsuji Takahashi - 2018 - Frontiers in Psychology 9.
Relevant Restricted Quantification.J. C. Beall, Ross T. Brady, A. P. Hazen, Graham Priest & Greg Restall - 2006 - Journal of Philosophical Logic 35 (6):587-598.
De Finettian Logics of Indicative Conditionals Part I: Trivalent Semantics and Validity.Paul Égré, Lorenzo Rossi & Jan Sprenger - 2021 - Journal of Philosophical Logic 50 (2):187-213.
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