Re: Is continuum completely filled up?


"Richard Tobin" <richard@xxxxxxxxxxxxxxx> wrote in message
news:emuo08$2n0q$1@xxxxxxxxxxxxxxxxxxxxxxxxxx
In article <emslla$1gq$1@xxxxxxxxxxxxxxxxx>, ooo <farawfu@xxxxxxxxx>
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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