Editing Evidence
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Where P(A) is the probability that A is true, and P(A|B) is the probability that A is true, given that B is true. Β | Where P(A) is the probability that A is true, and P(A|B) is the probability that A is true, given that B is true. Β | ||
In | In english, this means that if a thing which, if true, would serve as evidence for a claim, it would serve as evidence against the claim if it were false. This is equivalent is saying that, if false, it would serve as evidence for the counter-claim. However, a thing which would be strong evidence for a claim if true may not be strong evidence against the claim if false, but it does count against it. | ||
For example, suppose the question is are there any fleas in this room. Suppose we search a small area meticulously so as to completely determine if there is or is not a flea in that area. If we found a flea, it would be complete proof that there is indeed a flea in the room. But if we did not find a flea, it would only reduce the chances of there being a flea by a very small amount. | For example, suppose the question is are there any fleas in this room. Suppose we search a small area meticulously so as to completely determine if there is or is not a flea in that area. If we found a flea, it would be complete proof that there is indeed a flea in the room. But if we did not find a flea, it would only reduce the chances of there being a flea by a very small amount. | ||