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Jun 23, 2011 at 16:56 vote accept Saran Neti
Jun 23, 2011 at 16:53 comment added Saran Neti @Joel Thanks! Your statement "...stronger and stronger theories may prove higher and higher lower bounds..." and mhum's comment that non-countable should be rejected, point to an analogy. In Calculus class, I had a similar problem understanding the $\epsilon$, $\delta$ definition of the limit of a real valued function - which now seems intuitively obvious. Given an $\epsilon > 0$, I should be able to come up with a computably axiomatized theory that proves a lower bound for BB(n) to within that $\epsilon$
Jun 23, 2011 at 16:22 vote accept Saran Neti
Jun 23, 2011 at 16:56
Jun 23, 2011 at 2:31 history edited Joel David Hamkins CC BY-SA 3.0
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Jun 23, 2011 at 1:20 history answered Joel David Hamkins CC BY-SA 3.0