My Math Forum VON NEWMANN's ORDINAL

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 December 13th, 2016, 10:14 PM #1 Senior Member   Joined: Dec 2012 Posts: 1,025 Thanks: 24 VON NEWMANN's ORDINAL It's possible to write the Von Newman's Ordinal with a funny formula: $\displaystyle \begin{tabular}{lll} 1 0 0 2 0.1 0.1 3 0.02 0.12 4 0.003 0.123 5 0.0004 0.1234 6 0.00005 0.12345$ Till 9 (to go general the formula must be refined) the second column comes from: $VN_x = (x-1)/10^{(x-1)}$ The third (include all elements of the set sorted as decimal number) by the recoursive Sum of the value of the previous Sum, plus the $VN_x$ I rellay know, what I'm talking of... Ciao Stefano Last edited by complicatemodulus; December 13th, 2016 at 10:47 PM.

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