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conditional probability


Subject Philosophy

DOI: 10.1111/b.9781405106795.2004.x


Extract

L ogic The probability of an event é occurring after the occurrence of another event e. The value of this probability is determined by the effect of the probability of e on the probability of é before e occurred. A related notion is conditional proof. If B is deduced from a set of premises that includes A n , then in a deductive system we can infer from the remaining premises the conditional if A n then B. This rule of conditional proof is presented as the following: If A 1 … A n ◊B, then A 1 … A n−1 ◊ A n ⊃B. This rule is also called the rule of ⊃ introduction. “Crudely, the expected frequency of a kind of outcome, B, given that a kind of outcome, A, has occurred, is the probability of B conditional on A or the conditional probability of B given A.” Sklar, Philosophy of Physics ... log in or subscribe to read full text

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