Ripheus23

By the way, if it matters, the reason why I'm trying to figure out the Continuum Hypothesis is to make a point about the concept Cantor had of an "absolute infinite." ["Consider that Cantor's intuition told him that a relatively 'small,' by contemporary standards, cardinal such as aleph-aleph-aleph-zero, might be ontologically significant enough to make a theological difference to the question of the Trinity."] But why does that matter? Because my concept of romantic ideality depends on a Kantian gloss of the aleph-series [the ascension through the series, or from the mirror of cofinality [more on that later?!]], and of the application of the concepts of absolutely and relatively finite and infinite values. So, to prove a point about romantic love, I want to resolve the Continuum Hypothesis, a problem that is supposedly unresolvable in the strict sense as such, and for which there is no reward (as with, by contrast, the Riemann hypothesis); so all things considered in the end because of Dean.  [What's worse: I already actually solved a "mathematical" puzzle, that of the liar paradox [I swear I really did and can prove it at any hour of any day], for Dean's sake [back in late 2015], but even this argument would only "add" to the "evidence" for the law of noncontradiction, although it would lead into a resolution of the constructivist rejection of logical bivalence and the value of iterated negation, I suppose, too [technically]. So it would only prove that consistency proofs are meaningful, and proofs-by-contradiction allowable, but not many mathematicians doubt these things, regardless of whether they think there is some "ultimate answer" to the liar paradox [which there is, but again, it's only "ultimate" as far as that goes...].

Also I know the semantics for deontic logic impeccably well, but...]

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Kant's theorem, or the theorem of modal cardinality, says that the set of the possible is equal in cardinality to the set of the actual. [See the section of the first Critique on the "ontological argument for the existence of God," and the discussion of a hundred possible or real dollars, and of the necessity of God.] Accordingly, the transit of modal cardinality can only occur once we have the infinite permutations of the infinite sequences of modal operation, i.e. between aleph-aleph-zero and aleph-aleph-1...