Re: Replacement of Cardinality

Le 19/08/2024 à 21:06, Jim Burns a écrit :

On 8/19/2024 7:44 AM, WM wrote:

NUF(x) grows at every unit fractions by 1.

 No. ℵ₀+1 = ℵ₀

NUF starts at 0 from 0.

 

At 0 there is no unit fractions,
therefore NUF(0) = 0
as for all negative arguments.
The first increase happens at the first unit fraction.

 No positive lower.bound, darkᵂᴹ or visibleᵂᴹ, exists of
visibleᵂᴹ unit.fractions.

There is a smallest dark unit fraction. The function NUF(x) grows by 1 at every unit fraction. It starts from 0.
Regards, WM