Re: Is continuum completely filled up?



On Dec 27 2006, 12:19 am, "ooo" <fara...@xxxxxxxxx> wrote:
I am biginer in English and mathrmatics.
If real line is filled with points and each point is
distinguished,then each point has difference from every other points.
Therfore real line has void.

Thanks for advance.

Any two points in the real line have a distance between them, but
there is no void space between them; there are (uncountably)
infinitely many points between any two given points in the real line -
indeed, as many points as in the entire real line!

José de Castro.

.



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