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

Le 18/07/2024 à 21:16, Jim Burns a écrit :

On 7/18/2024 2:28 PM, WM wrote:

Le 18/07/2024 à 19:00, Jim Burns a écrit :

 

Jumps "at" a point are between
 nearby points.
WM admitted that much in a recent post,
but changed what "change" means to him.

>
A claim for all x > 0 is
a claim for all points of the interval (0, oo).
The claim
"between 0 and every point of (0, oo) NUF(x) = ℵo"
implies the existence of
ℵo unit fractions between 0 and (0, oo)
and is false.

 The unit.fractions between 0 and different points x
are not the same unit.fractions.

Not claimed that they are the same. But if for all points x > 0 there are ℵo smaller unit fractions, then for the interval (0, oo) there are ℵo smaller unit fractions. Or is there a point in (0, oo) which is not an x > 0?
Regards, WM