Re: Replacement of Cardinality

On 8/22/2024 10:24 AM, joes wrote:

Am Thu, 22 Aug 2024 11:07:42 +0000 schrieb WM:

Le 21/08/2024 à 20:14, joes a écrit :

Am Wed, 21 Aug 2024 14:58:50 +0000 schrieb WM:

Le 21/08/2024 à 15:13, joes a écrit :

Am Wed, 21 Aug 2024 12:24:14 +0000 schrieb WM:

>

It is an end which proves dark numbers.

Why should there be an end in the first place?

There is indisputably an interval without unit fractions,
namely (-oo, 0].
That indicates an end before. It proves an end before. Only cranks can
deny that.

The unit fractions get denser toward 0. They are all positive.

They all have gaps. This implies a last one if all are existing.

How so?
 

Are there not infinitely many unit fractions?

Yes, the dark unit fractions cannot be counted through. There are more
than can be counted.

I was talking about the regular ones.

They are potentially infinite: After each one many more appear. They do
never end. But that's not my topic.

What then?
 

Finite is all, but his brain hurts when it notices anything to do with the word "infinite"? He does not even seem to accept that there can be infinitely many finite items...