David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 24 (5):455-467 (1995)
We show that the implicational fragment of intuitionism is the weakest logic with a non-trivial probabilistic semantics which satisfies the thesis that the probabilities of conditionals are conditional probabilities. We also show that several logics between intuitionism and classical logic also admit non-trivial probability functions which satisfy that thesis. On the other hand, we also prove that very weak assumptions concerning negation added to the core probability conditions with the restriction that probabilities of conditionals are conditional probabilities are sufficient to trivialize the semantics
|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
Peter Milne (2012). Probability as a Measure of Information Added. Journal of Logic, Language and Information 21 (2):163-188.
Similar books and articles
Paul Weirich (1983). Conditional Probabilities and Probabilities Given Knowledge of a Condition. Philosophy of Science 50 (1):82-95.
Richard Bradley (2002). Indicative Conditionals. Erkenntnis 56 (3):345-378.
Stefan Kaufmann (2004). Conditioning Against the Grain. Journal of Philosophical Logic 33 (6):583-606.
Robert C. Stalnaker (1970). Probability and Conditionals. Philosophy of Science 37 (1):64-80.
Daniel Rothschild (2013). Do Indicative Conditionals Express Propositions? Noûs 47 (1):49-68.
James Hawthorne (1996). On the Logic of Nonmonotonic Conditionals and Conditional Probabilities. Journal of Philosophical Logic 25 (2):185-218.
Richard Bradley (2006). Adams Conditionals and Non-Monotonic Probabilities. Journal of Logic, Language and Information 15 (1-2):65-81.
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.
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.
Added to index2009-01-28
Total downloads32 ( #53,295 of 1,098,884 )
Recent downloads (6 months)11 ( #16,496 of 1,098,884 )
How can I increase my downloads?