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To: seowulf; RightWhale; SunkenCiv
Cantor had a problem with his colleagues when he asserted that their are levels of infinity,....countable and uncountable...aleph zero...and aleph one...

Georg Ferdinand Ludwig Philipp Cantor

29 posted on 11/16/2006 9:52:01 AM PST by Ernest_at_the_Beach (History is soon Forgotten,)
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To: All
Cantor quotes.....

Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number.

My theory stands as firm as a rock; every arrow directed against it will quickly return to the archer. How do I know this? Because I have studied it from all sides for many years; because I have examined all objections which have ever been made against the infinite numbers; and above all because I have followed its roots, so to speak, to the first infallible cause of all created things.

30 posted on 11/16/2006 9:55:05 AM PST by Ernest_at_the_Beach (History is soon Forgotten,)
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To: Ernest_at_the_Beach
typo correction......

that there are levels of infinity

31 posted on 11/16/2006 9:56:29 AM PST by Ernest_at_the_Beach (History is soon Forgotten,)
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To: Ernest_at_the_Beach

I guess he didn't know everything after all...

Eddie Cantor

32 posted on 11/16/2006 10:51:16 AM PST by SunkenCiv (I last updated my profile on Thursday, November 16, 2006 https://secure.freerepublic.com/donate/)
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