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A notion of coherence for books on conditional events in many-valued logic. (English) Zbl 1252.03042

Summary: We introduce a new approach to conditional probability over many-valued events, which is based on bets. Then we show that this approach fits with Kroupa’s approach, and we give two characterizations of coherence for books on conditional many-valued events, the first one based on states, and the second one based on logical coherence of a suitable theory on many-valued logic.

MSC:

03B48 Probability and inductive logic
03B50 Many-valued logic
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