On 26 Mrz., 21:04, Virgil <vir...@ligriv.com> wrote: > In article > <bca277a3-1edb-4ad9-9abe-a24df4e23...@m12g2000yqp.googlegroups.com>, > > WM <mueck...@rz.fh-augsburg.de> wrote: > > On 26 Mrz., 00:08, Virgil <vir...@ligriv.com> wrote: > > > > > No. We deal with irrational numbers by using their names. > > > > We deal with ALL numbers by using various forms of their names. > > > And there are only countably many names that we can deal with. > > That only means that we cannot deal directly or individually with any of > those many unnamed and unnameable real numbers. It does not mean that > they are not there. That is a flaw in our language, not in the number > system.
No it is the flaw in your brains. Of course every proof and every Cantor list deliver one or more but at most a countable set of named diagonals. Never has any proof shown an uncountable real or given any hint to surmise that.