In article <email@example.com>, firstname.lastname@example.org wrote:
> On Sunday, 23 June 2013 05:57:51 UTC+2, Virgil wrote: > > > WM insists that the limit of a strictly increasing endless sequence of > > FISONs , if it is to exist at all, cannot be the union of those sets. > > The limit of a sequence differs from some terms of the sequence by less than > any positive epsilon.
FISONs are sets, not real numbers.
But maybe WM is too thick to be able to tell the difference!
The limit of a sequence of REAL NUMBERS may require delta-epsilonics, but the limit of a nested sequence of sets does not, and FISONs are such sets, not numbers.
> The "limit" of the sequence of FISONs cannot differ > from any FISON by less than infinitely many natural numbers. Therefore no > limit exists.
The limit of any increasing-by-inclusion infinite sequence of sets is the infinite union of all the sets in the infinite sequence EVERYWHERE EXCEPT IN WM'S WILD WEIRD WORLD OF WMYTHEOLOGY . --