Indeed. (You don’t need to link the main wiki entry, thanks.)
There’s some subtlety though. Because either P might be true or not P, and p(P) expresses belief that P is true. So I think probability merely implies that the LoEM might be unnecessary, but it itself pretty much assumes it.
It is sometimes, but not always the case, that p(P) = 0.5 resolves to P being “half-true” once observed. It also can mean that P resolves to true half the time, or just that we only know that it might be true with 0.5 certainty (the default meaning).
Indeed. (You don’t need to link the main wiki entry, thanks.)
There’s some subtlety though. Because either P might be true or not P, and p(P) expresses belief that P is true. So I think probability merely implies that the LoEM might be unnecessary, but it itself pretty much assumes it.
It is sometimes, but not always the case, that p(P) = 0.5 resolves to P being “half-true” once observed. It also can mean that P resolves to true half the time, or just that we only know that it might be true with 0.5 certainty (the default meaning).