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Mental probability logic
Published online by Cambridge University Press: 12 February 2009
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.
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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
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
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
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