On Mon, 25 Feb 2013 22:46:40 -0800 (PST), netzweltler <email@example.com> wrote in <news:firstname.lastname@example.org> in rec.arts.sf.written,sci.math:
> On 25 Feb., 17:58, "Brian M. Scott" <b.sc...@csuohio.edu> wrote:
>> On Mon, 25 Feb 2013 08:48:05 -0800 (PST), netzweltler >> <reinhard_fisc...@arcor.de> wrote in >> <news:email@example.com> >> in rec.arts.sf.written,sci.math:
>>> If there is a horizontal infinite line, how do we assign >>> the origin?
>>> How do we prove, that the distance in meter from the >>> origin I have chosen to the origin someone else (along >>> this line) has chosen can be counted?
>> By proving that Lebesgue measure is is the unique complete, >> translation-invariant measure on the sigma-algebra generated >> by the intervals. Thus, one the two of you choose a unit, >> the length of the interval between your origins is >> completely determined.
> When we assign the origin of the horizontal infinite line, > and we are coming from the left, we can count all the > meters to the right of the origin. Can we possibly have > counted all the meters to the left of the origin as soon > as we arrive there?
What's this nonsense about 'coming' and 'arriving'?