Re: There is a first/smallest integer (in Mückenland)

On 7/17/24 10:43 AM, WM wrote:

Le 17/07/2024 à 13:37, Moebius a écrit :

WM> All unit fractions are separated. Therefore there is a first one
>
Moebius> All integers are separated. Therefore there is a first one [?]
>
WM> This is true but difficult to understand.

 Can you explain how NUF(x) can increase from 0 to many more in one point x although all unit fractions are separated by finite distances of uncountably many x each?
 Regards, WM
 

Because is isn't a properly defined function.
It has no finite value for any finite value of x > 0.
Thus, one need no figure how it gets from 0 to any other number, since it doesn't.