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 Tetration and higher-order operations on transfinite ordinals quickfur Junior Fellow Posts: 22 Threads: 1 Joined: Feb 2008 02/23/2008, 03:33 AM Hmm, apparently, I'm not the first one to discover the correlation between higher-order arithmetic operations and the recursive transfinite ordinals: http://mathforum.org/kb/thread.jspa?messageID=371175 According to this page, the Feferman-Schütte ordinal $\Gamma_0$ is the supremum of all ordinals (finitely) describable using recursive operations. Yet it is still recursive (and therefore computable), so I wonder if there may be a way to reach it. Obviously, some other method than merely building on previous operations will be needed. « Next Oldest | Next Newest »

 Messages In This Thread Tetration and higher-order operations on transfinite ordinals - by quickfur - 02/21/2008, 08:16 PM RE: Tetration and higher-order operations on transfinite ordinals - by quickfur - 02/23/2008, 03:33 AM RE: Tetration and higher-order operations on transfinite ordinals - by GFR - 02/23/2008, 09:47 AM RE: Tetration and higher-order operations on transfinite ordinals - by quickfur - 02/23/2008, 05:46 PM RE: Tetration and higher-order operations on transfinite ordinals - by GFR - 02/26/2008, 09:33 AM RE: Tetration and higher-order operations on transfinite ordinals - by quickfur - 03/28/2008, 10:55 PM RE: Tetration and higher-order operations on transfinite ordinals - by bo198214 - 03/29/2008, 09:58 AM RE: Tetration and higher-order operations on transfinite ordinals - by quickfur - 03/29/2008, 04:01 PM RE: Tetration and higher-order operations on transfinite ordinals - by quickfur - 08/16/2008, 01:58 AM

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