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

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 only alternative would by
 >> infinitely many unit fractions at one point.
 >
 > 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.
 > with infinitely.many points in all.
NUF(x) distinguishes all 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.
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.
Regards, WM