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Topic: Defining the Real Numbers
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Posts: 447
Registered: 12/3/04
Defining the Real Numbers
Posted: Jan 11, 1997 6:34 PM
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Since the subject of definitions arose, I am curious about
how and what users of this list tell their students about
the real numbers. I have been teaching real analysis a
few times in recent years, and spend a lot of time on the
reals, since constructing them lays an excellent groundwork
for the whole concept of delta-epsilon stuff. I use an
approach developed by Gabe Stolzenberg which defines reals
as families of intervals of rational numbers. It combines,
it seems to me, the best features of both the Dedekind
and Cauchy approaches. I'd very much like to hear what
others are doing.

--- Mark Bridger
(Northeastern University)

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