Well, for example, consider a form of insanity X that leads to paranoia but is not compatible with delusion.
Suppose ask a randomly selected group of psychologists to evaluate whether I'm paranoid and they all report that I'm not.
Now I ask myself, "am I suffering from X?"
I reason as follows:
Now, if you want to argue that I still can't rule out X, because that's just a probabilistic statement, well, OK. I also can't rule out that I'm actually a butterfly. In that case, I don't care whether I can rule something out or not, but I'll agree with you and tap out here.
But if we agree that probabilistic statements are good enough for our purposes, then I submit that X is a form of insanity I can rule out.
Now, I would certainly agree that for all forms of insanity Y that cause delusions of sanity, I can't rule out suffering from Y. And I also agree that for all forms of insanity Z that neither cause nor preclude such delusions, I can't rule out suffering from (Z AND Y), though I can rule out suffering from Z in isolation.
a form of insanity X that leads to paranoia but is not compatible with delusion.
But how would a possibly insane person determine that insanity X is a possible kind of insanity? Or, how would they determine that the Law of Noncontradiction is actually a thing that exists as opposed to some insane sort of delusion?
...Now, if you want to argue that I still can't rule out X, because that's just a probabilistic statement, well, OK. I also can't rule out that I'm actually a butterfly. In that case, I don't care whether I can rule something out or not, but I'll
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