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Subject: Re: Contradiction of bijections as a measure for infinite sets
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Le 05/04/2024 à 12:57, FromTheRafters a écrit :
> WM explained on 4/4/2024 :

>> Explain why first bijecting n and n/1 should destroy an existing bijection!
> 
> You still seem to think that sets change. If you mean 'n' is an element 
> of the naturals then of course N bijects with the naturals as embedded 
> in Q.

Of course. But if someone doubts it, I could directly map the naturals n/1 
to the fractions with the result that there is no bijection.

> Also, the complement of the naturals over one in Q is the same 
> size as the proper subset you created.

No, that is disproved by the remaining Os.

Regards, WM