On the logic of nonmonotonic conditionals and conditional probabilities: Predicate logic [Book Review]
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 27 (1):1-34 (1998)
In a previous paper I described a range of nonmonotonic conditionals that behave like conditional probability functions at various levels of probabilistic support. These conditionals were defined as semantic relations on an object language for sentential logic. In this paper I extend the most prominent family of these conditionals to a language for predicate logic. My approach to quantifiers is closely related to Hartry Field's probabilistic semantics. Along the way I will show how Field's semantics differs from a substitutional interpretation of quantifiers in crucial ways, and show that Field's approach is closely related to the usual objectual semantics. One of Field's quantifier rules, however, must be significantly modified to be adapted to nonmonotonic conditional semantics. And this modification suggests, in turn, an alternative quantifier rule for probabilistic semantics
|Keywords||Conditionals Nonmonotonic Logic Popper Functions Probability Semantics|
|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
James Hawthorne (2014). A Primer on Rational Consequence Relations, Popper Functions, and Their Ranked Structures. Studia Logica 102 (4):731-749.
Similar books and articles
Ernest W. Adams (1975). The Logic of Conditionals: An Application of Probability to Deductive Logic. D. Reidel Pub. Co..
Edwin D. Mares & André Fuhrmann (1995). A Relevant Theory of Conditionals. Journal of Philosophical Logic 24 (6):645 - 665.
Frank Jackson (ed.) (1991). Conditionals. Oxford University Press.
Niki Pfeifer (2006). On Mental Probability Logic. Dissertation, Department of Psychology
Robert C. Stalnaker (1970). Probability and Conditionals. Philosophy of Science 37 (1):64-80.
Niki Pfeifer & G. D. Kleiter (2006). Is Human Reasoning About Nonmonotonic Conditionals Probabilistically Coherent? In Proceedings of the 7 T H Workshop on Uncertainty Processing. 138--150.
Charles G. Morgan & Edwin D. Mares (1995). Conditionals, Probability, and Non-Triviality. Journal of Philosophical Logic 24 (5):455-467.
James Hawthorne (2007). Nonmonotonic Conditionals That Behave Like Conditional Probabilities Above a Threshold. Journal of Applied Logic 5 (4):625-637.
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 downloads31 ( #59,360 of 1,099,913 )
Recent downloads (6 months)9 ( #28,004 of 1,099,913 )
How can I increase my downloads?