Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : james.g.burns (at) *nospam* att.net (Jim Burns)
Groupes : sci.mathDate : 21. Sep 2024, 18:26:10
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <12466863-ed05-4a55-817f-2d42d61c14a5@att.net>
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User-Agent : Mozilla Thunderbird
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.
⎛ Thus
⎜ it is no accident that
⎜ each darkᵂᴹ number is and is not.
⎜
⎜ Darkᵂᴹ numbers provide you Potemkin.facts
⎜ that mere numbers cannot.
⎜ Nothing is true, everything is true,
⎜ LOL nothing matters.
⎜
⎜ 🛇 Ordinals are well.ordered.
⎜ 🛇 Except for darkᵂᴹ ordinals.
⎝ 🛇 In the gap.
However,
'things always well.ordered' is
what we mean by 'ordinals'.
Whatever you say about
"things only sometimes well.ordered'
you are not saying about
WWMB (what we mean by) ordinals.
There are no non.well.ordered WWMB ordinals.
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
There is no WWMB ordinal ω-1
no finite α, no transfinite ξ.
And there is no gap before ω.
A gap is where something could be
but is not.
There is no WWMB ordinal before ω
which could be but is not.
In that sense, there is no gap.
There is no WWMB ω-1