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

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

I am discussing actual infinity where all are there at once and no "always" is used.

Your actual.infinityᵂᴹ
doesn't contain a subset which is non.2.ended  but
contains a subset of a subset which is non.2.ended.
Which is gibberish.
But it's 'no.always' gibberish. So, you win, I guess?