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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 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.
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.


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