Re: Replacement of Cardinality

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.