Abstract
In this work we develop and examine a generalized account of David Lewis’s imaging in the same way as how Jeffrey’s Probability Kinematics generalizes Bayesian conditionalization. We show that this naturally leads to a rational account of probabilistic belief removal – a rather long standing problem in the area. It turns out that our generalization of imaging indeed is an account of probabilistic belief erasure as opposed to probabilistic belief contraction. In the process we also examine two other accounts of probabilistic belief removal which are rather novel and difficult to classify under the standard belief change taxonomy.
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References
Alchourrón, C.E., Gärdenfors, P., Makinson, D.: On the logic of theory change: Partial meet contraction and revision functions. Journal of Symbolic Logic 50, 510–530 (1985)
Boutilier, C.: On the revision of probabilistic belief states. Notre Dame J. Formal Logic 36(1), 158–183 (1995)
Chan, H., Darwiche, A.: On the revision of probabilistic beliefs using uncertain evidence. Artif. Intell. 163(1), 67–90 (2005)
Cozic, M.: Imaging and sleeping beauty: A case for double-halfers. International Journal of Approximate Reasoning (2009) (in press, corrected proof:–)
Cross, C.B.: A characterization of imaging in terms of popper functions. Philosophy of Science 67(2), 316–338 (2000)
Dubois, D., Prade, H.: Belief revision and updates in numerical formalisms: An overview, with new results for the possibilistic framework. In: IJCAI, pp. 620–625 (1993)
Elga, A.: Self-locating belief and the Sleeping Beauty problem. Analysis 60(2), 143–147 (2000)
Gärdenfors, P.: The dynamics of belief: Contractions and revisions of probability functions. Topoi 5(1), 29–37 (1986)
Gärdenfors, P.: Knowledge in Flux: Modeling the Dynamics of Epistemic States. Bradford Books, MIT Press, Cambridge Massachusetts (1988)
Jeffrey, R.C.: The Logic of Decision. The University of Chicago Press, Chicago (1983)
Katsuno, H., Mendelzon, A.O.: On the difference between updating a knowledge base and revising it. In: Gärdenfors, P. (ed.) Belief Revision, pp. 183–203. Cambridge University Press, Cambridge (1992)
Kern-Isberner, G., Rödder, W.: Belief revision and information fusion on optimum entropy. Int. J. Intell. Syst. 19(9), 837–857 (2004)
Lewis, D.: Counterfactuals. Harvard University Press, Cambridge (1973)
Lewis, D.: Probabilities of conditionals and conditional probabilities. The Philosophical Review 85(3), 297–315 (1976)
Lewis, D.: On the Plurality of Worlds. Basil Blackwell, Malden (1986)
Pearl, J.: From imaging and stochastic control to a calculus of actions. In: Symposium Notes of the 1994 AAAI Spring Symposium on Decision-Theoretic Planning, Stanford, CA, pp. 204–209 (1994)
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Ramachandran, R., Nayak, A.C., Orgun, M.A. (2010). Belief Erasure Using Partial Imaging. In: Li, J. (eds) AI 2010: Advances in Artificial Intelligence. AI 2010. Lecture Notes in Computer Science(), vol 6464. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17432-2_6
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DOI: https://doi.org/10.1007/978-3-642-17432-2_6
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