It's interesting that maximum/minimum for disjunction/conjunction doesn't apply for probabilities, except when the probabilities "overlap as much as possible" (when at least one implies the other).
And when the probabilities overlap as little as possible, then the formulas are:
P(a or b) = min(1, P(A)+P(B))
P(a and b) = max(0, P(a)+P(b)-1)
I guess there is some lesson about logic and truth here, but I can't quite see it...
And when the probabilities overlap as little as possible, then the formulas are:
P(a or b) = min(1, P(A)+P(B))
P(a and b) = max(0, P(a)+P(b)-1)
I guess there is some lesson about logic and truth here, but I can't quite see it...