netzweltler
Posts:
473
From:
Germany
Registered:
8/6/10


Re: Countably Infinite Sets
Posted:
Dec 28, 2012 9:16 AM


On 28 Dez., 03:49, "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote: > On Dec 27, 6:43 pm, netzweltler <reinhard_fisc...@arcor.de> wrote: > > > Does the set {{1}, {1,2}, {1,2,3}, ...} contain all natural numbers? > > What does "..." mean?
"..." means, there is a bijection to the natural numbers
1 > {1} 2 > {1,2} 3 > {1,2,3} ...
> > Many would include zero.
I cannot see the difference. I could also have asked: Does the set {{0}, {0,1}, {0,1,2}, ...} contain all natural numbers?

