untitled.gif welcome towards my cool internet house site: re: counting S's sux (zoom)

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re: counting S's sux
[29615] by "TOBOT NANOnymous" (h-68-165-24-61.phlapafg.dynamic.covad.net)   on Sat 06 Dec 2003 08:04:50     reply ] [ up ]
ultrafinitists have seemingly contradictory axioms, i.e.

let N be the set of finite natural numbers, defined as follows:

(a) 0 is in N.
(b) forall n in N, n + 1 is in N.
(c) 2^1024 is not in N.

But the grate thing is that u cannot prove a contradiction because proof of 2^1024 in N using (b) and (a) will be bigger than the universe!!