In article <ken.pledger-61ED7B.firstname.lastname@example.org>, Ken Pledger <email@example.com> wrote:
> In article <agfvqlFbot6U1@mid.individual.net>, > José Carlos Santos <firstname.lastname@example.org> wrote: > > > .... > > Can someone please tell me how to prove that the real vector space of > > all sequences of real numbers has uncountable dimension? .... > > > Over what field? Over the reals, the dimension is surely countable, > isn't it? Or am I misunderstanding something? > > Ken Pledger.
For every infinite
The SET of reals as a vector space over the rationals is of uncountable dimension. --