>>7839058 >even doing proofs that have already been done can be simplified to plug and chug Huh? I mean, I'm with you that certain proofs can be plug and chug. Proving that some set and some operation satisfies the group axioms is typically a plug and chug ordeal. However, a lot of proofs require quite a bit of ingenuity even in the undergrad years.
He's right though, do you know that? When you start asking your own questions, and thinking of your own approach /leading to a real answer of some kind, and in turn possibly (hopefully) more questions/, then you're doing "real" math.
I would suggest that if you have an IQ north of 110, enough personal drive, and you've taken a calc sequence plus linear algebra, this is just enough background to be able to start to ask and answer (for one's self) somewhat interesting questions, notwithstanding that they've probably been answered before.
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