Re: How many different unit fractions are lessorequal than all unit fractions?

Am Sun, 15 Sep 2024 21:52:30 +0200 schrieb WM:

On 14.09.2024 18:33, Richard Damon wrote:

On 9/14/24 10:01 AM, WM wrote:

 

Two points are next to each other means that no point is between them.

And, since for ANY two points on the real number line, x, and y, the
point (x+y)/2 is another real point between them,

Why don't you start with (x+y)/2? Or better with the end of the
sequence? In actual infinity you could.

Sure, inbetween (x+y)/2 and x is (3x+y)/4. There is no end.

there are absolutely NO points on the real line next to each other.

No definable points, to be precise. If there is no point next to 0 then
there is a gap. I do not accept gaps on the real line.

I.e. „neighbouring” points can’t be defined. There are no gaps.

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Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.