Re: Simple enough for every reader?

On 30.05.2025 11:51, Mikko wrote:

On 2025-05-29 14:52:45 +0000, WM said:
 

On 29.05.2025 12:22, Mikko wrote:

On 2025-05-27 15:24:50 +0000, WM said:

>

{1} has infinitely many (ℵo) successors. If you don't understand, please ask.
>
For every number n that can be represented in decimals:
If {1, 2, 3, ..., n} has infinitely many (ℵo) successors, then {1, 2, 3, ..., n, n+1} has infinitely many (ℵo) successors. If you don't understand, please ask.

>
The indication that a sentence is a premise is still absent.

>
This is {1} has infinitely many (ℵo) successors.
>

The indication that and how a sentence is a conseqence of earler sentences
is still absent.

>
{1, 2, 3, ..., n, n+1} has infinitely many (ℵo) successors is a consequence of {1, 2, 3, ..., n} has infinitely many (ℵo) successors, and ℵo - 1 = ℵo.

 Still no proof.

Proof that every definable natural number has more successors than predecessors.
Regards, WM