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

On 9/11/2024 10:35 AM, WM wrote:

On 11.09.2024 04:11, Richard Damon wrote:

On 9/10/24 12:18 PM, WM wrote:

What begins after zero?
Does there
something related to unit fractions
exist?

>

And infinite set that approaches it
arbitrarily close.
It is an unbounded end.

>
Real points on the real line
either are there or are not there.

Sets of real.line.points and
real.line.points
are not the same things.

In particular
they do not "approach" any other point.

Define β as
the greatest.lower.bound of visiblesᵂᴹ ⅟ℕᵈᵉᶠ
β = glb.⅟ℕᵈᵉᶠ
Positive β requires impossibilities.
It requires that ½.β
both IS and IS NOT
undercut by a visibleᵂᴹ unit.fraction.
0 = glb.⅟ℕᵈᵉᶠ
0 is not.in ⅟ℕᵈᵉᶠ
but no gap exists between 0 and ⅟ℕᵈᵉᶠ
(No positive.lower.bound.)
⅟ℕᵈᵉᶠ does not change. (Sets do not change.)
We use "approach" to say "no gap".