On 22 Mai, 16:34, Graham Cooper <grahamcoop...@gmail.com> wrote: > > Say 2/3 and 3/4 were adjacent, then it's trivial to find a rational > inbetween.
Of course. You are right. My point is that there is no well-ordering of all rational numbers at all. If such a well-ordering existed, for instance the Cantor-enumeration, then this could be reordered by aleph_0 transpositions such that a well-ordering and simultaneously an ordering by magnitude was accomplished. Contradiction.
