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Topic: Cardinalities
Replies: 17   Last Post: Jun 18, 2000 6:33 AM

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Steve Leibel

Posts: 300
Registered: 12/6/04
Re: Cardinalities
Posted: Jun 13, 2000 5:39 AM
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In article <20000612220438.28970.00002764@ng-fv1.aol.com>,
mattalba@aol.comnospam (Matt Albaugh) wrote:

> Theres an easier proof that card(P(N))=card(R):
> -card(P(N))=2^card(N) since for all sets "S" card(P(S))=2^card(S)
> -card(R)=2^card(N)

How did you get that last step? You seem to have replaced card(P(N))
with card(R). But that's exactly the thing we're required to prove, so we
can't use it.

> -Therefore, by equality, card(P(N))=card(R)
> QED.
> Matt
> http://www.wam.umd.edu/~mattalba

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