Re: Replacement of Cardinality

Le 07/08/2024 à 23:29, Jim Burns a écrit :

On 8/7/2024 3:01 PM, WM wrote:

Le 07/08/2024 à 20:29, Jim Burns a écrit :

 

The only part of your argument which you've shared is
∀n ∈ ℕ: 1/n - 1/(n+1) > 0

>
That is the decisive part.
Never two or more unit fractions are added to NUF.

 Arithmetic says:
⅟n  >
⅟(n+1)  >
⅟(n+2)  >
⅟(n+3)  >
⅟(n+4)  >
...

NUF(0) = 0. Never more than one unit fraction can be added simultaneously to NUF(x).
==> Exists x with x = INVNUF(1).
There are two contradicting arguments. One of them must be wrong. Or actual infinity is wrong.

You do not disclose why you think that
the equation which proves you are wrong
proves that you are right.

There is no rest.

 Then there is no argument.
 Think about it, before you admit that.
I'd like to address your _best_ argument.
Can you come up with even bad reasons
for shifted.S to exist?

Sorry, I cannot see what you are missing.
NUF(0) = 0. Never more than one unit fraction can be added simultaneously to NUF(x).
==> Exists x with x = INVNUF(1).
Regards, WM