Philosophy of Science 37 (1):64-80 (1970)
AbstractThe aim of the paper is to draw a connection between a semantical theory of conditional statements and the theory of conditional probability. First, the probability calculus is interpreted as a semantics for truth functional logic. Absolute probabilities are treated as degrees of rational belief. Conditional probabilities are explicitly defined in terms of absolute probabilities in the familiar way. Second, the probability calculus is extended in order to provide an interpretation for counterfactual probabilities--conditional probabilities where the condition has zero probability. Third, conditional propositions are introduced as propositions whose absolute probability is equal to the conditional probability of the consequent on the antecedent. An axiom system for this conditional connective is recovered from the probabilistic definition. Finally, the primary semantics for this axiom system, presented elsewhere, is related to the probabilistic interpretation
Similar books and articles
Conditional Probability and Pragmatic Conditionals: Dissociating Truth and Effectiveness.Eyvind Ohm & Valerie A. Thompson - 2006 - Thinking and Reasoning 12 (3):257 – 280.
On the Logic of Nonmonotonic Conditionals and Conditional Probabilities.James Hawthorne - 1996 - Journal of Philosophical Logic 25 (2):185-218.
Adams Conditionals and Non-Monotonic Probabilities.Richard Bradley - 2006 - Journal of Logic, Language and Information 15 (1-2):65-81.
Conditional Probabilities and Probabilities Given Knowledge of a Condition.Paul Weirich - 1983 - Philosophy of Science 50 (1):82-95.
Conditionals, Probability, and Nontriviality.Charles G. Morgan & Edwin D. Mares - 1995 - Journal of Philosophical Logic 24 (5):455-467.
Conditionals, Comparative Probability, and Triviality: The Conditional of Conditional Probability Cannot Be Represented in the Object Language.Charles G. Morgan - 1999 - Topoi 18 (2):97-116.
Conditioning Against the Grain.Stefan Kaufmann - 2004 - Journal of Philosophical Logic 33 (6):583-606.
Capturing the Relationship Between Conditionals and Conditional Probability with a Trivalent Semantics.Daniel Rothschild - 2014 - Journal of Applied Non-Classical Logics 24 (1-2):144-152.
Added to PP
Historical graph of downloads
Citations of this work
Evidence: A Guide for the Uncertain.Kevin Dorst - 2020 - Philosophy and Phenomenological Research 100 (3):586-632.
Assertion, Knowledge, and Rational Credibility.Igor Douven - 2006 - Philosophical Review 115 (4):449-485.
References found in this work
A Theory of Conditionals.Robert C. Stalnaker - 1968 - In Nicholas Rescher (ed.), Studies in Logical Theory (American Philosophical Quarterly Monographs 2). Oxford: Blackwell. pp. 98-112.
Knowledge and Belief: An Introduction to the Logic of the Two Notions.Jaakko Hintikka - 1962 - Studia Logica 16:119-122.
The Logic of Conditionals: An Application of Probability to Deductive Logic.Ernest Wilcox Adams - 1996 - Dordrecht, Netherland: D. Reidel Pub. Co..
The Logic of Conditionals.Ernest Adams - 1965 - Inquiry: An Interdisciplinary Journal of Philosophy 8 (1-4):166 – 197.
A Semantic Analysis of Conditional Logic.Robert C. Stalnaker & Richmond H. Thomason - 1970 - Theoria 36 (1):23-42.