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Hyena comments on Meanings of Mathematical Truths - Less Wrong
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Wouldn't it then follow that there is a largest number bounded by the ability of the universe to store information? That this number is decadent: entropy is constantly eroding its value? And that values like pi have terminating decimals since that same limit would apply to storing those as well?
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.