[Mid] A brief tour of inifinity

From: Charles J. Cohen <charles_at_eecs.umich.edu>
Date: Sun 13 Jun 1999 02:55:14 PM EDT
Message-Id: <199906131855.OAA04484@krusty.eecs.umich.edu>

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:

http://www.slip.net/~kkeller/math/infinity/index.shtml

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>
+--+--+--+--+--+--+--+--+--+--+--+--+ to unsubscribe, send a message to
`~-, ,-~`~-, ,-~`~-, ,-~`~-, ,-~` majordomo@midrealm.org with
. | | | | | | | | 'unsubscribe sca-middle' as its body.
Received on Sun Jun 13 14:52:05 1999

This archive was generated by hypermail 2.1.8 : Thu 04 Mar 2004 08:41:54 AM EST EST