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From: WM <wolfgang.mueckenheim@tha.de>
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Le 02/08/2024 à 19:19, Richard Damon a écrit :
> On 8/2/24 12:38 PM, WM wrote:
>> Le 02/08/2024 à 18:19, Richard Damon a écrit :
>> 
>>> No, YOU THINK there are more algebraic numbers than prime numbers 
>>> because you don't understand that there are exactly ℵo of both of them.
>> 
>> I know that ℵo is nonsense, because all prime numbers are algebraic but 
>> not all algebraic numbers are prime. This does not change in the infinite.
> 
> Nope, infinite sets do not obey the same set of rules that finite sets 
> do.

An excuse of cranks.
> 
>>>
>>> All countably infinite sets are the same size,
>> 
>> That proves that ℵo is nonsense.
> 
> No, it proves that your logic can't handle it.

In fact, logic can't agree with nonsense.

> If you can show a contradiction in the system, USING THE RULES OF THE 
> SYSTEM,

Every system of mathematics agrees that there are more natural numbers 
than prime numbers.

Regards, WM