Re: Contradiction of bijections as a measure for infinite sets

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