the universe is infinitely discrete

and the set of reals is in one to one correspondence with the set of naturals.

discuss.

>>19
one of the subsets is the entire set, so you cant have a map f such that f(x) does not contain x for all x.  some x has to point to the subset that is the entire set.  the definition of the set S is inherently contradictory.

S is analogous to russel's paradox.