Hostname: page-component-77f85d65b8-8wtlm Total loading time: 0 Render date: 2026-04-18T16:39:39.854Z Has data issue: false hasContentIssue false
  • English
  • Français

Mental probability logic

Published online by Cambridge University Press:  12 February 2009

Niki Pfeifer  and
Gernot D. Kleiter
Niki Pfeifer
Affiliation:
Department of Psychology, University of Salzburg, A-5020 Salzburg, Austria. niki.pfeifer@sbg.ac.athttp://www.users.sbg.ac.at/~pfeifern/gernot.kleiter@sbg.ac.atwww.users.sbg.ac.at/~gdkleiter/
Gernot D. Kleiter
Affiliation:
Department of Psychology, University of Salzburg, A-5020 Salzburg, Austria. niki.pfeifer@sbg.ac.athttp://www.users.sbg.ac.at/~pfeifern/gernot.kleiter@sbg.ac.atwww.users.sbg.ac.at/~gdkleiter/
Get access Rights & Permissions [Opens in a new window]

Abstract

We discuss Oaksford & Chater's (O&C's) probabilistic approach from a probability logical point of view. Specifically, we comment on subjective probability, the indispensability of logic, the Ramsey test, the consequence relation, human nonmonotonic reasoning, intervals, generalized quantifiers, and rational analysis.

Information

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 32 , Issue 1 , February 2009 , pp. 98 - 99
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Adams, E. W. (1975) The logic of conditionals: An application of probability to deductive logic. Reidel.Google Scholar
Biazzo, V., Gilio, A., Lukasiewicz, T. & Sanfilippo, G. (2005) Probabilistic logic under coherence: Complexity and algorithms. Annals of Mathematics and Artificial Intelligence 45 (1–2):35–81.CrossRefGoogle Scholar
Coletti, G. & Scozzafava, R. (2002) Probabilistic logic in a coherent setting. Kluwer.Google Scholar
de Finetti, B., (1974/1975) Theory of probability, vols. 1 & 2. Wiley.Google Scholar
Evans, J. St. B. T. & Over, D. E. (2004) If. Oxford University Press.CrossRefGoogle Scholar
Gilio, A. (2002) Probabilistic reasoning under coherence in System P. Annals of Mathematics and Artificial Intelligence 34:5–34.CrossRefGoogle Scholar
Hawthorne, J. & Makinson, D. (2007) The quantitative/qualitative watershed for rules of uncertain inference. Studia Logica 86:247–97.CrossRefGoogle Scholar
Kraus, S., Lehmann, D. & Magidor, M. (1990) Nonmonotonic reasoning, preferential models and cumulative logics. Artificial Intelligence 44:167–207.Google Scholar
Lindley, D. V. (2006) Understanding uncertainty. Wiley.Google Scholar
Lukasiewicz, T. (2005) Weak nonmonotonic probabilistic logics. Artificial Intelligence 168:119–61.Google Scholar
Murphree, W. A. (1991) Numerically exceptive logic: A reduction of the classical syllogism. Peter Lang.Google Scholar
Oaksford, M. & Chater, N. (2007) Bayesian rationality: The probabilistic approach to human reasoning. Oxford University Press.CrossRefGoogle Scholar
Peters, S. & Westerståhl, D. (2006) Quantifiers in language and logic. Oxford University Press.Google Scholar
Peterson, P. L. (2000) Intermediate quantifiers. Logic, linguistics, and Aristotelian semantics. Ashgate.Google Scholar
Pfeifer, N. & Kleiter, G. D. (2005a) Coherence and nonmonotonicity in human reasoning. Synthese 146 (1–2):93–109.CrossRefGoogle Scholar
Pfeifer, N. & Kleiter, G. D. (2005b) Towards a mental probability logic. Psychologica Belgica 45 (1):71–99. Updated version available at: www.users.sbg.ac.at/~pfeifern/problog.htm.CrossRefGoogle Scholar
Pfeifer, N. & Kleiter, G. D. (2006) Inference in conditional probability logic. Kybernetika 42:391–404.Google Scholar
Pfeifer, N. & Kleiter, G. D. (in press a) Framing human inference by coherence based probability logic. Journal of Applied Logics.Google Scholar
Pfeifer, N. & Kleiter, G. D. (in press b) The conditional in mental probability logic. In: Cognition and conditionals: Probability and logic in human thoughts, ed. Oaksford, M. & Chater, N.. Oxford University Press.Google Scholar