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roitman@oberon.math.ukans.edu

Posts: 243
Registered: 12/6/04
Re:
Posted: Dec 6, 1995 11:45 AM
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>In what course is the term "variable"
>given a definite meaning?
>
>mike


Explicitly, it usually isn't; but I believe that abstract algebra and
linear algebra cannot be understood without implicitly seeing variables as
objects.

For example, if you are going to think about the vector space of
polynomials, you can't be thinking of "x" solely as a placeholder for a
number -- you're sitting there waiting to find out what "x" *really* is,
when, in that sense, it isn't.






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