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calef comments on Meanings of Mathematical Truths - Less Wrong
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Comments (47)
The joke response would be to let 'n' represent that number.
n+1.
Somewhat related (not really at all, but your post reminded me of it) is Scott Aaronson's digression on "who can name the biggest number": http://www.scottaaronson.com/writings/bignumbers.html
Reality is far too interesting to allow such a limit on itself.