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- Jan 7th 2008, 11:58 AMyellow4321cardinals
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. - Jan 7th 2008, 12:07 PMJhevon
- Jan 7th 2008, 01:11 PMtopsquark
- Jan 7th 2008, 01:58 PMJhevon
- Jan 7th 2008, 03:08 PMyellow4321
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. - Jan 7th 2008, 03:16 PMJhevon
- Jan 7th 2008, 03:36 PMPlato
First, don’t be concerned about the statements on cardinality.

Once you have the basic idea down, all the rest is easy.

Secondly, the above is not the Schroeder-Bernstein. But nonetheless it is easy to prove anything about finite sets.

The basic idea of a finite set is:**Any finite set can be listed using positive integers as subscripts**.

Thus if then we can write .

If we define by the result follows easily. - Jan 8th 2008, 04:22 AMyellow4321
.. for all x,y in X f(x)=f(y) then x=y ?

the less than/equal to sign is confusing me. - Jan 8th 2008, 04:42 AMPlato