2015
Varieties of Belief and Probability
Publication
Publication
For reasoning about uncertain situations, we have probability theory, and we have logics
of knowledge and belief. How does elementary probability theory relate to epistemic
logic and the logic of belief? The paper focuses on the notion of betting belief, and
interprets a language for knowledge and belief in two kinds of models: epistemic neighbourhood
models and epistemic probability models. It is shown that the first class of
models is more general in the sense that every probability model gives rise to a neighbourhood
model, but not vice versa. The basic calculus of knowledge and betting belief
is incomplete for probability models. These formal results were obtained in Van Eijck
and Renne [9].
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College Publications | |
S. Ghosh (Surjya) , J. Szymanik | |
Tributes | |
Organisation | Software Analysis and Transformation |
van Eijck, J. (2015). Varieties of Belief and Probability. In S. Ghosh & J. Szymanik (Eds.), The Facts Matter --- Essays on Logic and Cognition in Honour of Rineke Verbrugge (pp. 67–87). College Publications. |