FOM: Boole, Probability, and Material Implication

Steve Stevenson steve at
Thu Jun 21 10:07:57 EDT 2001

Good morning:

Theodore's Hailperin in *Boole's Logic and Probability* makes the
point that Boole seemed confused over the difference between
conditional probability and the probability of a implication
statement. If he did, he probably inherited it from Bayes and

E. T. Jayne in his "cult", on-line probability text
*Probability Theory: The Logic Of Science* at also discusses this issue of
confusion over conditional probabilty and implication statements.

Does anyone have references to discussions of this issue. My naive
contention is that Bayes rule is not a proper translation of material
implication although it is proper for subjective implication.

Any comments gratefully accepted.


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