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2017 | 46 | 3/4 |
Tytuł artykułu

Bayesian Propositional Logic

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We define and investigate from a logical point of view a family of consequence relations defined in probabilistic terms. We call them relations of supporting, and write: |≈w where w is a probability function on a Boolean language. A |≈w B iff the fact that A is the case does not decrease a probability of being B the case. Finally, we examine the intersection of |≈w , for all w, and give some formal properties of it.
Rocznik
Tom
46
Numer
3/4
Opis fizyczny
Daty
wydano
2017-12-30
Twórcy
  • Department of Logic, Nicolaus Copernicus University in Toruń
  • Institute of Philosophy and Sociology, Polish Academy of Sciences
Bibliografia
  • [1] R. Carnap, Logical Foundation of Probability, Routledge and Kegan Paul, London (1951).
  • [2] C. Howson, P. Urbach Scientific reasoning: the Bayesian approach, La Salle, Illinois (1990).
  • [3] A. N. Kolmogorov, Foundations of the theory of probability second english edition, Chelsea Publishing Company, New York (1956).
  • [4] S. Kraus, D. Lehmann and M. Magidor, Nonmonotonic Reasoning, Preferential Models and Cumulative Logics, Artificial Intelligence 44 (1990), pp. 167–207.
  • [5] T. Kuipers, Studies in Inductive Probability and Rational Expectation, Reidel, Dordrecht (1978).
  • [6] T. Kuipers, From Instrumentalism to Constructive Realism, Synthese Library 287, Kluwer Academic Press, Dordrecht (2000).
  • [7] D. Makinson, Bridges from Classical to Nonmonotonic Logic, Texts in Computing, Kings College, London (2005).
  • [8] J. Pearl, Probabilistic Reasoning in Intelligent Systems, Morgan Kaufman, San Mateo, CA (1978).
  • [9] J. Pearl, On Two Pseudo-Paradoxes in Bayesian Analysis, Annals of Mathematics and Artificial Intelligence 32(2001), pp. 171–177.
  • [10] K. Popper, The Logic of Scientific Discovery, revised edition, Hutchinson, London (1968).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ojs-doi-10_18778_0138-0680_46_3_4_01
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