Re: Is continuum completely filled up?



ooo napsal:
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.

Yes, as points have no size, they have dimension zero.
But a line is made up from points and intervalls between points -
remember a set is different from it's elements, so there are points
and the intervalls, which are set's of points. And these intervalls
between two points have a length, so the void is gone.
This is called topology.

Keep questing, keep questioning.
Hero

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