On Sunday, 4 May 2014 00:25:49 UTC+2, Zeit Geist wrote:
> > Take Set of Aleph_0 Symbols, call it S.
Is there any symbol in your set that cannot be represented by bits 0 and 1? No. Therefore your attempt does not change anything with respect to finite alphabets. Mathematical discourse in the internet remains possible. The set of all expressions including the set of all objects of discourse including the set of all number including the set of all real numbers remains countable.