Re: Replacement of Cardinality

On 8/15/24 9:55 AM, WM wrote:

Le 14/08/2024 à 20:04, Jim Burns a écrit :

On 8/14/2024 8:28 AM, WM wrote:

Le 13/08/2024 à 19:42, Jim Burns a écrit :

>

The existence of the smallest unit fractions
is contradictory in the land of
rationals with
countable.to numerators and denominators
with each split situated ==
a last point in the foresplit or
a first point in the hindsplit.

>
The existence of a smallest unit fraction is
the only alternative to the existence of
more than one at a real point.

>
The NONexistence of a smallest unit fraction is why,
for each unit fraction,
there are infinitely.many smaller unit fractions.
And with no two at one point.

 That is a self-contradiction.
 The first point with unit fractions is x = INVNUF(1).
 Regrads, WM

Which doesn't have a value (at least not in the finite rationals or reals).
That is your problem, NUF isn't properly defined, and thus INVNUF can't be properly defined.