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Topic: Is continuum completely filled up?
Replies: 610   Last Post: Jun 9, 2012 10:57 AM

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 ooo Posts: 167 Registered: 10/20/06
Re: Is continuum completely filled up?
Posted: Dec 28, 2006 12:26 PM

"Richard Tobin" <richard@cogsci.ed.ac.uk> wrote in message
news:emuo08\$2n0q\$1@pc-news.cogsci.ed.ac.uk...
> In article <emslla\$1gq\$1@news1.stnet.ad.jp>, ooo <farawfu@gmail.com>
wrote:
>
> >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.

>
> Can you prove that? Why does the fact that every point is a finite
> distance from every other point mean that there are gaps?
>

Because distanse between two points is finite (that is not necesarily
realnumber), we can take point at a potition of their middle.
> -- Richard
>
> --
> "Consideration shall be given to the need for as many as 32 characters
> in some alphabets" - X3.4, 1963.

Regards

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