For Duke Andrew, and anyone else who is interested.
I found a set of webpages which discusses infinity, countable and
uncountable. Please point your browser to:
In there there was this interesting paragraph:
(You may have wondered why I chose to generate the evil unlisted
number above in the way I did. It's involved, but basically
the dilemma is that some real numbers actually have two decimal
representations; for example, 1.0000000000... actually
represents the same real number as 0.999999999.... By choosing the
digits 5 and 8, I make sure I don't run into that problem.)
You know, the above never occured to me, but he's right, *all*
rational numbers have two decimal representations. Woohoo! I learned
something new. :)
- Midair
From: "Charles J. Cohen" <charles@eecs.umich.edu>
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Received on Sun Jun 13 14:52:05 1999
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