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How can P(x doesn't exist) < P(x is logically impossible)? That's... well, logically impossible.
If I've understand correct, you're saying that the probability that x doesn't exist, can't less than the probabiltiy that x is logically impossible.
The reason that it can be true, is because I'm not smart enough to interpret that complicated proposition whether it's in symbolic form or even after I've managed to translate it into words.
Therefore, P(x doesn't exist) may very well be < P(x is logically impossible), I have no idea.