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

On 21.09.2024 19:26, Jim Burns wrote:

On 9/21/2024 9:47 AM, WM wrote:

On 20.09.2024 22:02, Jim Burns wrote:

On 9/20/2024 2:27 PM, WM wrote:

 

And there is no gap before ω.

>
ω-1 requires impossibilities:
a gap between ω and (hypothetical) ω-1

>
No.
A gap is where something could be
but is not.

 Gaps are where you locate your darkᵂᴹ numbers.

Yes.

However,
'things always well.ordered' is
what we mean by 'ordinals'.

That is a potentially infinite collection.

There are no non.well.ordered WWMB ordinals.

That may be.

 There is no finite WWMB ordinal α not.before
the first transfinite ordinal, WWMB ω
 There is no finite WWMB ordinal α without
its WWMB successor α+1 before ω
 There is no transfinite WWMB ordinal ξ before
the first transfinite ordinal, WWMB ω

That may be. But then there is no complete set of natural numbers and no ω.
Regards, WM