In article <firstname.lastname@example.org>, email@example.com wrote:
> > You believe that all real numbers R except a countable set D are > undefinable.
Not at all, at least outside of WM's wild weird world of WMytheology.
The reals are COLLECTIVELY defined by the standard definition of the field of real numbers, but that collective definition does not guarantee that each of them also has an individual definition separable from other individual definitions of all other real numbers.
Similarly, Given a set of naturals numbers ther must be subsets of that set which cannot have finite definitions because there are must be more such subsets than there can be finite definitions of them. --