On Monday, December 2, 2013 11:35:43 AM UTC-7, WM wrote: > Am Montag, 2. Dezember 2013 16:53:04 UTC+1 schrieb christian.bau: > > > Please explain your reasoning. I didn't find anything wrong with the proof, > > that puts you in aline with thousands of mathematicians. > > > and if I missed something, I'm quite sure it's fixable. > > That is not an argument. > > The set of positive rational numbers that is less than the natural number n and has not been enumerated by the first n natural numbers grows with n. It is impossible eneumerate all rational numbers, i.e., to remove all rationals from the state of being not enumerated to the state of being enumerated. >
Impossible? How about a proof.
> Here the intentional confusion of "for every n in |N" and "for all n in |N" has been used. It has been neglected that beyond every n there are infinitely many following, such that never all can have been used.
That confusion belongs completely to you. And actually, when writing it I knew you would say that. You are welcome to work your own Mathematical System sans the AoI. However, your gripes do Not point out any flaw in the proof.