Re: ******** CAN ANYONE HERE DEFINE OMEGA ? ***********

From: The Ghost In The Machine (ewill_at_sirius.athghost7038suus.net)
Date: 01/30/05 

Date: Sun, 30 Jan 2005 04:01:43 GMT

In sci.logic, |-|erc
<H@r.c>
 wrote
on Sun, 30 Jan 2005 12:12:02 +1000
<362u69F4tgn7dU1@individual.net>:
> KEEP IGNORING MY BREAKTHROUGHS SCI.MATH
> REAL SHOWMANSHIP.. NONE OF YOU HAVE ANY BALLS TO ADMIT AN ERROR

[rest of the rant snipped]

I'll just content myself to answering your question, assuming
I know precisely what it is; there are several omegas.

The simplest one is the omega associated with the ordinals.

cardinal ordinal example set
1 1st / first {0}
2 2nd / second {0,1}
3 3rd / third {0,1,2}
4 4th / fourth {0,1,2,3}

and so on.

aleph_0 omega N={0,1,2,3, ... }

For more information, consult

http://mathworld.wolfram.com/OrdinalNumber.html 

-- 
#191, ewill3@earthlink.net
It's still legal to go .sigless.
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