In article <firstname.lastname@example.org>, email@example.com wrote:
> On Monday, 24 June 2013 17:27:09 UTC+2, dull...@sprynet.com wrote: > > > >I say there could not be a well-order on *uncountably many reals*, because > > >most of them could not be identified by a finite amount of bits. > > > I know you say that! WHY is it not also correct to say there cannot be an > > _order_ on uncountably many reals, because "most of them could not be > > identified by finitely many bits"? You have to explain what the difference > > is. Or admit that you can't. > > There is no difference. There are not uncountably many reals, neither in the > natural order nor in the well-order.
But there are and must be in any complete Archimedian ordered field like the field of real numbers. --