one_forward comments on Open thread, 25-31 August 2014 - Less Wrong Discussion
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A&B cannot be more probable than A, but evidence may support A&B more than it supports A.
For example, suppose you have independent prior probabilities of 1/2 for A and for B. The prior probability of A&B is 1/4. If you are then told "A iff B," the probability for A does not change but the probability of A&B goes up to 1/2.
The reason specific theories are better is not that they are more plausible, but that they contain more useful information.