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Mental probability logic

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

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.

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E. W Adams . (1975) The logic of conditionals: An application of probability to deductive logic. Reidel.

V. Biazzo , A. Gilio , T. Lukasiewicz & G Sanfilippo . (2005) Probabilistic logic under coherence: Complexity and algorithms. Annals of Mathematics and Artificial Intelligence 45 (1–2):3581.

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A Gilio . (2002) Probabilistic reasoning under coherence in System P. Annals of Mathematics and Artificial Intelligence 34:534.

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D. V Lindley . (2006) Understanding uncertainty. Wiley.

T Lukasiewicz . (2005) Weak nonmonotonic probabilistic logics. Artificial Intelligence 168:119–61.

M. Oaksford & N Chater . (2007) Bayesian rationality: The probabilistic approach to human reasoning. Oxford University Press.

N. Pfeifer & G. D Kleiter . (2005a) Coherence and nonmonotonicity in human reasoning. Synthese 146 (1–2):93109.

N. Pfeifer & G. D Kleiter . (2005b) Towards a mental probability logic. Psychologica Belgica 45 (1):7199. Updated version available at:

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Behavioral and Brain Sciences
  • ISSN: 0140-525X
  • EISSN: 1469-1825
  • URL: /core/journals/behavioral-and-brain-sciences
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