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

On 01.11.2024 13:33, FromTheRafters wrote:

After serious thinking WM wrote :

On 01.11.2024 11:57, FromTheRafters wrote:

It happens that WM formulated :

On 01.11.2024 00:43, Richard Damon wrote:

On 10/31/24 1:35 PM, WM wrote:

On 31.10.2024 12:36, Richard Damon wrote:

On 10/30/24 11:38 AM, WM wrote:

>

NUF(x) MUST jump from 0 to Aleph_0 at all real values x, as
below ANY real number x, there are Aleph_0 unit fractions.

You cannot distinguish them by any real number? That proves that
they are dark.

They are not finite values.

All unit fractions are finite values.

Each unit fraction is finite, the set of all unit fractions is not
finite. Not finite is 'infinite' and there is no potential or actual
anymore -- just finite and not finite.

Actual means that all are there,

They are all there anyway, by definition.

including the smallest.

No smallest, since you simply inverted the set of naturals which has no
largest.

If an invariable set of numbers is there, then there is a smallest and a
largest number of those which are existing.