Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logic sci.mathDate : 19. Aug 2024, 12:32:44
Autres entêtes
Organisation : Nemoweb
Message-ID : <en_fjxuLKegQPxOwdC8lXsKVbbI@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 17/08/2024 à 16:29, Richard Damon a écrit :
On 8/17/24 9:28 AM, WM wrote:
Le 16/08/2024 à 19:39, Jim Burns a écrit :
no element of ℕᵈᵉᶠ is its upper.end,
because
for each diminishable k
diminishable k+1 disproves by counter.example
that k is the upper.end of ℕᵈᵉᶠ
SBZ(x) starts with 0 at 0 and increases, but at no point x it increases by more than 1 because of
∀n ∈ ℕ: 1/n - 1/(n+1) > 0. Therefore there is a smallest unit fractions and vice versa a greatest natnumber.
What can't you understand?
But there is no point (>0) where it has a finite value,
You can't see it and you are unable to derive it from mathematics. But blindness is not an argument.
Regards, WM