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Old 02-21-2005   #5 (permalink)
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Kent
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Re: The power set of the continum

Quote:
Originally Posted by maddog
I don't want repeat your whole post by quoting it.

Instead I will add to what you have already done using your labels.

Your Cardinality of the Continum c which is the same size as the reals is Aleph 1 in my terminology.
What I was saying as an example of the next hierarchy was the set of continuous function of Rn being
the same size as your P(k) or Aleph 2 in Cardinality. I don't know of an example beyond that.

Maddog
You can always construct one infinite higher than another....
It is great for conversation and parties


Is 2^(aleph nunght) =aleph 1=c ? What do you think?

Last edited by Kent; 02-21-2005 at 06:10 PM..
 
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