also logic set and theory (Evilgrin)

thanks a lot

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- Jul 2nd 2011, 08:54 AMmIXpRois N^N ~ NxN ??
also logic set and theory (Evilgrin)

thanks a lot - Jul 2nd 2011, 09:00 AMFernandoRevillaRe: is N^N ~ NxN ??
: $\displaystyle |\mathbb{N}\times \mathbb{N}|=\aleph_0$ and $\displaystyle \aleph_0<2^{\aleph_0}$ .__Hint__ - Jul 2nd 2011, 09:22 AMmIXpRoRe: is N^N ~ NxN ??
ya got it :

f:(NxN)->(2^i)*(3^j)

and

g:(2^i)*(3^j)-> N

==>

N ~ (2^i)*(3^j) ~ NxN - Jul 2nd 2011, 10:10 AMAlso sprach ZarathustraRe: is N^N ~ NxN ??