Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logic sci.mathDate : 17. Aug 2024, 14:28:30
Autres entêtes
Organisation : Nemoweb
Message-ID : <zzRMVwrDvZCAHeIta8vMnBBxp8E@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
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?
Regards, WM