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

Am Wed, 25 Sep 2024 17:51:56 +0200 schrieb WM:

On 25.09.2024 06:59, Jim Burns wrote:
 > On 9/24/2024 4:37 PM, WM wrote:
 
 >>> Thus increasing NUF(x) from 0 to infinity WITH intermediate steps
 >>> is gibberish,
 > The correct (different) alternative is: infinitely.many
 > unit.fractions at one point per unit.fraction,
That means NUF increases by 1 at every point occupied by a unit
fraction.

Thus it increases to infinity at every positive point.

 > with infinitely.many points in all.
NUF(x) distinguishes all points.

How does it distinguish dark points?

 > Although no more than finitely.many points can be stepped.through
 > end.to.end we don't require these points to do more than _exist_
 > More.than.finitely.many can _exist_
Yes, but they are dark.
NUF increases. At no point it can increase by more than 1.

Right, and there is no point "next to" 0, so it doesn't actually
"increase" by your not-definition at 0.

Even if most mathematicians are far too stupid to understand this, I
will repeat it on and on, maybe that sometime some will get it.

You should try explaining it a different way.

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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.