 Quote by mathwonk
...Every student knows that in a noetherian module an increasing sequence of submodules stabilizes at some finite step. ...
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I assume you mean every student
of mathematics.

I am no algebraist (or whatever branch of mathematics this belongs to) and have never had a proper Abstract Algebra course.
 Quote by deluks917
I think its very reasonable for an instructor to give a homework problem they can't do. I don't think its really appropriate on an exam.
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Heh. Sometimes it
might just pay off for a bright student.
 Quote by Danger
Is there any possibility of that post being repeated in English?
That's the coolest description that I've ever seen. 
A good teacher doesn't even necessarily teach the subject matter; s/he teaches you how to learn.
That, incidentally, is one of the reasons that PF is such an awesome learning environment.
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Yeah, unfortunately, I've seen professors sadistic enough to push you off that cliff and watch you plummet to your academic death, so to speak. Fortunately, these are in the minority.