Conditionals, comparative probability, and triviality: The conditional of conditional probability cannot be represented in the object language
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Topoi 18 (2):97-116 (1999)
In this paper we examine the thesis that the probability of the conditional is the conditional probability. Previous work by a number of authors has shown that in standard numerical probability theories, the addition of the thesis leads to triviality. We introduce very weak, comparative conditional probability structures and discuss some extremely simple constraints. We show that even in such a minimal context, if one adds the thesis that the probability of a conditional is the conditional probability, then one trivializes the theory. Another way of stating the result is that the conditional of conditional probability cannot be represented in the object language on pain of trivializing the theory.
|Keywords||Philosophy Philosophy Philosophy of Science Philosophy of Technology|
|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
Igor Douven & Richard Dietz (2011). A Puzzle About Stalnaker's Hypothesis. Topoi 30 (1):31-37.
Similar books and articles
James Hawthorne (1996). On the Logic of Nonmonotonic Conditionals and Conditional Probabilities. Journal of Philosophical Logic 25 (2):185-218.
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.
Eyvind Ohm & Valerie A. Thompson (2006). Conditional Probability and Pragmatic Conditionals: Dissociating Truth and Effectiveness. Thinking and Reasoning 12 (3):257 – 280.
Robert C. Stalnaker (1970). Probability and Conditionals. Philosophy of Science 37 (1):64-80.
Teddy Seidenfeld, Remarks on the Theory of Conditional Probability: Some Issues of Finite Versus Countable Additivity.
Richard Bradley (2006). Adams Conditionals and Non-Monotonic Probabilities. Journal of Logic, Language and Information 15 (1-2):65-81.
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.
David E. Over & Jonathan St B. T. Evans (2003). The Probability of Conditionals: The Psychological Evidence. Mind and Language 18 (4):340–358.
Added to index2009-01-28
Total downloads34 ( #94,109 of 1,725,168 )
Recent downloads (6 months)4 ( #167,174 of 1,725,168 )
How can I increase my downloads?