Does anyone know if trivialism has to be interpreted as "every sentence is at least true" or as "every sentence is true and only true"?
Every sentence (or rather, proposition) is both true and false, since "false" is defined here to mean having a true negation (and all negations are established as being true.) So for P to be both true and false would be for both P and ~P to be true, or, deflatively, for it to obtain that P and ~P.
If (alternatively) neither P nor ~P - as might sometimes be the case according to intuitionists - we would say that P is neither true nor false.
Straight from Wikipedia.
I just had to stare at this a while. We can have papers published about this, we really ought to be able to get papers published about Friendly AI subproblems.
My favorite part is at the very end.
Trivialism is the theory that every proposition is true. A consequence of trivialism is that all statements, including all contradictions of the form "p and not p" (that something both 'is' and 'isn't' at the same time), are true.[1]
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