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by tr352 1116 days ago
> For example, in Bayesian logic: x AND y is xy, x OR y is x + y - xy

No it isn't. P(x AND y) = P(x)P(y) only in the special case where x and y are independent. Unlike fuzzy logic, probabilistic logic is not truth functional.

1 comments

> No it isn’t. P(x AND y) = P(x)P(y) only if x and y are independent.

You are obviously correct, and I shouldn’t post when I should be sleeping.

> Unlike fuzzy logic, probabilistic logic is not truth functional.

Its been a long time since I had much engagement with fuzzy logic, but I distinctly remember it being constructed as a class such that Bayesian probability was a fuzzy logic, though the others of interest were much simpler. But that may be as wrong as the other part of that post...