On Sat, Sep 21, 2013 at 12:43 PM, David Thomas <davidleotho...@gmail.com>wrote:

> Sure.  An interesting, if not terribly relevant, fact is that there are
> more irrational numbers that we *can't* represent the above way than that
> we can (IIRC).
>

I think that kinda follows from diagonalization... it does handle more
cases than only using rationals, but pretty much by the Cantor diagonal
argument there's an infinite (indeed uncountably) number of reals that
cannot be captured by any such trick.

-- 
brandon s allbery kf8nh                               sine nomine associates
allber...@gmail.com                                  ballb...@sinenomine.net
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