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In particular, we show here how to extend the definition of conditional pro...

Citation Context ...nditional belief that appears in Theorem 3.4.

The Bayesian interpretation of probability can be seen as an extension of logic that enables reasoning with propositions whose truth or falsity is uncertain.

: We define a new notion of conditional belief, which plays the same role for Dempster-Shafer belief functions as conditional probability does for probability functions.

Our definition is different from the standard definition given by Dempster, and avoids many of the well-known problems of that def ..." : We define a new notion of conditional belief, which plays the same role for Dempster-Shafer belief functions as conditional probability does for probability functions.

Broadly speaking, there are two views on Bayesian probability that interpret the probability concept in different ways.

According to the objectivist view, the rules of Bayesian statistics can be justified by requirements of rationality and consistency and interpreted as an extension of logic.