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Bayesian reasoning is a probabilistic approach to inductive and abductive reasoning, based on Bayes' rule, that posits when one event implies a second event is likely, that given the second event occurring, that increases the likelihood of the first event.

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Bayesian conditional probability and material implication

Jaynes' Confidence Intervals vs Bayesian Intervals (available here), and I came across this statement regarding Boole's The Laws of Thought: Boole's own work on probability theory... contains ludicrous … Does it even make sense to talk about material implication and Bayesian conditional probabilities in the same breath? …
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