The logic of conditionals

Abstract
The standard use of the propositional calculus ('P.C.?) in analyzing the validity of inferences involving conditionals leads to fallacies, and the problem is to determine where P.C. may be ?safely? used. An alternative analysis of criteria of reasonableness of inferences in terms of conditions of justification rather than truth of statements is proposed. It is argued, under certain restrictions, that P. C. may be safely used, except in inferences whose conclusions are conditionals whose antecedents are incompatible with the premises in the sense that if the antecedent became known, some of the previously asserted premises would have to be withdrawn
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DOI 10.1080/00201746508601430
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References found in this work BETA

Symbolic Logic.Clarence Irving Lewis - 1932 - Dover Publications.
Methods of Logic.P. L. Heath & Willard Van Orman Quine - 1955 - Philosophical Quarterly 5 (21):376.
A Formalization of the Logic of Ordinary Conditionals.William Secord Cooper - 1964 - Dissertation, University of California, Berkeley

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Citations of this work BETA

Reason and the Grain of Belief.Scott Sturgeon - 2008 - Noûs 42 (1):139–165.
Possible World Semantics and True-True Counterfactuals.Lee Walters - 2016 - Pacific Philosophical Quarterly 97 (3):322-346.
A Probabilistic Semantics for Counterfactuals. Part B.Hannes Leitgeb - 2012 - Review of Symbolic Logic 5 (1):85-121.
Probabilities of Conditionals in Context.Justin Khoo - 2016 - Linguistics and Philosophy 39 (1):1-43.

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