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Three Tools of Belief Change: Selection, Retention and Distribution

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Three Tools of Belief Change: Selection, Retention and Distribution

Abhaya Nayak

Intelligent Systems Group Department of Computing Macquarie University, Australia

Abstract

Belief Change deals with how a belief state should rationally be modified in response to some observation made or evidence received. There are several re- lated approaches to deal with different issues relevant to belief change. A body of knowledge could be a finite set or infinite, the modification method could be used on a one off basis or repeatedly, the body of knowledge could be probabilis- tic or non-probabilistic, the modification could involve removal of knowledge or addition of knowledge, and so on. There are some standard tools that are used in modifying a body of knowledge. The “selection” tool is possibly the best known among them. It comes in the form of epistemic entrenchment, plausi- bility ordering or other such tie breaking mechanisms, and used mostly in the context of non-probabilistic belief change. In the probabilistic context we need two more tools, Retention and Distribution that will help with rational modi- fication of probabilistic knowledge. In this talk I will briefly touch upon some ideas in this context.

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