On Monday, December 2, 2013 1:58:01 PM UTC-7, WM wrote: > > > Fine, then undefinable numbers cannot result from any Cantor-argument - and other theories do not contain them. So, why the heck do you think undefinable numbers exist? >
Although quite useful, not all of Set Theory depends on the Diagonal Argument.
In fact, the existence or non-existence of non-constructible Real Numbers is Independent from the Axioms of ZFC.