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

On 19.09.2024 21:15, Jim Burns wrote:

On 9/19/2024 9:02 AM, WM wrote:

On 19.09.2024 13:44, Richard Damon wrote:

On 9/19/24 7:22 AM, WM wrote:

 

There are infinitely many points with no extension filling the
space.

Right,
and none "next" to another, because there is always another in
between them.

"always another" is potential infinity.

For each finite ordinal ξ,
always another finite ordinal ξ∪{ξ} > ξ exists.

Potential infinity.

The set ω of all and only finite ordinals holds all and only finite
ordinals.

And there is no gap before ω.