> What are the philosophical implications of unsolvable mathematical
> Does this mean that mathematical reality, hence physical reality, is
> ultimately unknowable?
It's not clear to me that the root "know" is terribly useful here; IMHO
there is regularity and there is the random (whether it be absolute or
effectively so - both are equivalent from the receiving end); the mere fact
that we are having this discussion indicates some level of regularity in the
interaction; but there is randomness as well; As Gellmann noted, the
"perceived" proportion of each is always a function of a "judge" (sentient
or otherwise) and that implies an inherent subjectivity.
when and where there is agreement among "judges" upon the intersection of
recognized patterns, it is labeled shared "reality". Where there is not
intersection, "I" call it reality and "you" call me delusional...
<-- insert gratuitous quotation that implies my profundity here -->