Skip to main content
×
Home
    • Aa
    • Aa

Mental probability logic

  • Niki Pfeifer (a1) and Gernot D. Kleiter (a1)
Abstract
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.

Copyright
References
Hide All
Adams E. W. (1975) The logic of conditionals: An application of probability to deductive logic. Reidel.
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):3581.
Coletti G. & Scozzafava R. (2002) Probabilistic logic in a coherent setting. Kluwer.
de Finetti B., (1974/1975) Theory of probability, vols. 1 & 2. Wiley.
Evans J. St. B. T. & Over D. E. (2004) If. Oxford University Press.
Gilio A. (2002) Probabilistic reasoning under coherence in System P. Annals of Mathematics and Artificial Intelligence 34:534.
Hawthorne J. & Makinson D. (2007) The quantitative/qualitative watershed for rules of uncertain inference. Studia Logica 86:247–97.
Kraus S., Lehmann D. & Magidor M. (1990) Nonmonotonic reasoning, preferential models and cumulative logics. Artificial Intelligence 44:167207.
Lindley D. V. (2006) Understanding uncertainty. Wiley.
Lukasiewicz T. (2005) Weak nonmonotonic probabilistic logics. Artificial Intelligence 168:119–61.
Murphree W. A. (1991) Numerically exceptive logic: A reduction of the classical syllogism. Peter Lang.
Oaksford M. & Chater N. (2007) Bayesian rationality: The probabilistic approach to human reasoning. Oxford University Press.
Peters S. & Westerståhl D. (2006) Quantifiers in language and logic. Oxford University Press.
Peterson P. L. (2000) Intermediate quantifiers. Logic, linguistics, and Aristotelian semantics. Ashgate.
Pfeifer N. & Kleiter G. D. (2005a) Coherence and nonmonotonicity in human reasoning. Synthese 146 (1–2):93109.
Pfeifer N. & Kleiter G. D. (2005b) Towards a mental probability logic. Psychologica Belgica 45 (1):7199. Updated version available at: www.users.sbg.ac.at/~pfeifern/problog.htm.
Pfeifer N. & Kleiter G. D. (2006) Inference in conditional probability logic. Kybernetika 42:391404.
Pfeifer N. & Kleiter G. D. (in press a) Framing human inference by coherence based probability logic. Journal of Applied Logics.
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.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Behavioral and Brain Sciences
  • ISSN: 0140-525X
  • EISSN: 1469-1825
  • URL: /core/journals/behavioral-and-brain-sciences
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Metrics

Full text views

Total number of HTML views: 4
Total number of PDF views: 17 *
Loading metrics...

Abstract views

Total abstract views: 156 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 22nd October 2017. This data will be updated every 24 hours.