David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 37 (1):64-80 (1970)
The 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
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Alan Hájek (2012). The Fall of “Adams' Thesis”? Journal of Logic, Language and Information 21 (2):145-161.
Robert C. Stalnaker & Richmond H. Thomason (1970). A Semantic Analysis of Conditional Logic. Theoria 36 (1):23-42.
Chase Wrenn (2010). A Puzzle About Desire. Erkenntnis 73 (2):185-209.
Igor Douven, Leon Horsten & Jan-Willem Romeijn (2010). Probabilist antirealism. Pacific Philosophical Quarterly 91 (1):38-63.
Gerhard Schurz & Paul D. Thorn (2012). REWARD VERSUS RISK IN UNCERTAIN INFERENCE: THEOREMS AND SIMULATIONS. Review of Symbolic Logic 5 (4):574-612.
Similar books and articles
Eyvind Ohm & Valerie A. Thompson (2006). Conditional Probability and Pragmatic Conditionals: Dissociating Truth and Effectiveness. Thinking and Reasoning 12 (3):257 – 280.
Daniel Rothschild (2014). Capturing the Relationship Between Conditionals and Conditional Probability with a Trivalent Semantics. Journal of Applied Non-Classical Logics 24 (1-2):144-152.
Stefan Kaufmann (2004). Conditioning Against the Grain. Journal of Philosophical Logic 33 (6):583-606.
Charles G. Morgan (1999). Conditionals, Comparative Probability, and Triviality: The Conditional of Conditional Probability Cannot Be Represented in the Object Language. Topoi 18 (2):97-116.
Igor Douven (2008). Kaufmann on the Probabilities of Conditionals. Journal of Philosophical Logic 37 (3):259 - 266.
Charles G. Morgan & Edwin D. Mares (1995). Conditionals, Probability, and Non-Triviality. Journal of Philosophical Logic 24 (5):455-467.
Paul Weirich (1983). Conditional Probabilities and Probabilities Given Knowledge of a Condition. Philosophy of Science 50 (1):82-95.
Richard Bradley (2006). Adams Conditionals and Non-Monotonic Probabilities. Journal of Logic, Language and Information 15 (1-2):65-81.
James Hawthorne (1996). On the Logic of Nonmonotonic Conditionals and Conditional Probabilities. Journal of Philosophical Logic 25 (2):185-218.
Added to index2009-01-28
Total downloads87 ( #15,585 of 1,099,934 )
Recent downloads (6 months)8 ( #33,415 of 1,099,934 )
How can I increase my downloads?