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Iterating at fixed points of b^x
#28
Hi, Henryk!

You mentioned the following "Idea stub 2", concerning a possible extension of the reals to infinite ... entities and, particularly, the use of tetration for clearly representing the "limit epsilon-1" infinite Cantor's ordinal, as follows:
bo198214 Wrote:And idea stub 2.

I agree that, in general, hyperoperations could be an excellent tool for further "extending epsilon1" , via pentation hexation etc, up to "omegation". We (KAR & GFR) already presented this idea to the NKS Forum (see: Hyperoperations, second progress report). A new "limit" would then appear: w[w]w = omega-omega-omega which could probably be taken for (Capital) OMEGA, the (first?) uncountable infinite ordinal. Good grief.

GFR
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Messages In This Thread
Iterating at fixed points of b^x - by bo198214 - 09/08/2007, 10:02 AM
The fixed points of e^x - by bo198214 - 09/08/2007, 10:34 AM
The fixed points of b^x - by bo198214 - 09/08/2007, 11:36 AM
RE: Iterating at fixed points of b^x - by jaydfox - 09/12/2007, 06:23 AM
RE: Iterating at fixed points of b^x - by GFR - 10/03/2007, 11:03 PM
RE: Iterating at fixed points of b^x - by GFR - 01/31/2008, 03:07 PM

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