Re: Simple enough for every reader?

On 04.07.2025 10:38, joes wrote:

Am Thu, 03 Jul 2025 21:10:39 +0200 schrieb WM:

On 03.07.2025 16:12, joes wrote:

Am Thu, 03 Jul 2025 15:08:25 +0200 schrieb WM:

>

The rule of subset proves that every proper subset has fewer elements

No such rule for infinite sets.

For all sets.

No, this is not an accepted theorem of mainstream mathematics.

But it is correct. See the last paragraph. Can you contradict it?

 

than its superset. So there are more natural numbers than prime
numbers,

No, you can number the primes.

Yes, there are only few known primes.

...you can enumerate them in the sense of a bijection to N:
there is a first prime, a second and so on for every natural,
which is infinitely many.

I mentioned the *known* primes.

 

The rule of construction yields the number of integers |Z| = 2|N| + 1
and the number of fractions |Q| = 2|N|^2 + 1.

Those numbers are equal.

Only for cranks. In mathematics we use the limit. For every large enough
interval the even numbers are half as many as the natural numbers. This
does never change. Consequently it holds in the limit for infinite sets.

And half of infinity is still infinite.

That does not change the correct mathematics: For every interval [0, 2n] there are half as many even numbers as natural numbers. That is true also in the limit.
Regards, WM