The purpose of this paper is to investigate a variant of David Lewis’ imaging and to explore their relationship with conditionalization, a basic notion of belief change in Bayesianism, in terms of AGM-style postulates. This paper gives a formulation of conservative imaging restricting the selection function of possible worlds and its probabilistic postulates as an “intermediate” type of belief change in the sense that it has both the essential features of Lewis’ imaging and the significant property of conditionalization, namely, conservativity and compares it with types of them, including the clarification of non-trivial and immediate condition under which conditionalization and conservative imaging coincide within a certain convex combination.

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Conservative Imaging and AGM Postulates

  • Hayato Ito

摘要

The purpose of this paper is to investigate a variant of David Lewis’ imaging and to explore their relationship with conditionalization, a basic notion of belief change in Bayesianism, in terms of AGM-style postulates. This paper gives a formulation of conservative imaging restricting the selection function of possible worlds and its probabilistic postulates as an “intermediate” type of belief change in the sense that it has both the essential features of Lewis’ imaging and the significant property of conditionalization, namely, conservativity and compares it with types of them, including the clarification of non-trivial and immediate condition under which conditionalization and conservative imaging coincide within a certain convex combination.