Towards a probability logic based on statistical reasoning
In Proceedings of the 11 T H Ipmu International Conference (Information Processing and Management of Uncertainty in Knowledge-Based Systems) (2006)
| Abstract | Logical argument forms are investigated by second order probability density functions. When the premises are expressed by beta distributions, the conclusions usually are mixtures of beta distributions. If the shape parameters of the distributions are assumed to be additive (natural sampling), then the lower and upper bounds of the mixing distributions (P´olya-Eggenberger distributions) are parallel to the corresponding lower and upper probabilities in conditional probability logic | |||||||||
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Niki Pfeifer & G. D. Kleiter (2006). Towards a Probability Logic Based on Statistical Reasoning. In Proceedings of the 11th IPMU Conference (Information Processing and Management of Uncertainty in Knowledge-Based Systems.
Niki Pfeifer & G. D. Kleiter (2010). The Conditional in Mental Probability Logic. In M. Oaksford & N. Chater (eds.), Cognition and Conditionals: Probability and Logic in Human Thought. Oxford University Press.
Henry E. Kyburg (1992). Getting Fancy with Probability. Synthese 90 (2):189-203.
Henry E. Kyburg Jr (1992). Getting Fancy with Probability. Synthese 90 (2):189 - 203.
Niki Pfeifer & G. D. Kleiter (2007). Human Reasoning with Imprecise Probabilities: Modus Ponens and Denying the Antecedent. In Proceedings of the 5 T H International Symposium on Imprecise Probability: Theories and Applications.
Peter Milne (1993). The Foundations of Probability and Quantum Mechanics. Journal of Philosophical Logic 22 (2):129 - 168.
Niki Pfeifer & G. D. Kleiter (2002). Experiments on Nonmonotonic Reasoning. The Coherence of Human Probability Judgments. In H. Leitgeb & G. Schurz (eds.), Pre-Proceedings of the 1 s T Salzburg Workshop on Paradigms of Cognition.
Niki Pfeifer & Gernot D. Kleiter (2005). Coherence and Nonmonotonicity in Human Reasoning. Synthese 146 (1-2):93 - 109.
Niki Pfeifer & Gernot D. Kleiter (2009). Mental Probability Logic. Behavioral and Brain Sciences 32 (1):98-99.
Niki Pfeifer & G. D. Kleiter (2005). Towards a Mental Probability Logic. Psychologica Belgica 45 (1):71--99.
Niki Pfeifer (2006). On Mental Probability Logic. Dissertation, Department of Psychology
Manfred Jaeger (2005). A Logic for Inductive Probabilistic Reasoning. Synthese 144 (2):181 - 248.
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