Yeah, supremums are boring shit, limits are much more…hmm…lively 
This is my favourite theorem from analysis though:
The result is crazy, but true. I love the fact and the proof.
EDIT. Oh, fck, sry, it’s not anime, philosophy or sentiment…
The Purification Crusade
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I’ve had enough of Riemann in my middle school years. Going to major in humanities. 
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Middle school? Don’t make me laugh, you don’t know how cool Riemann really is.
But really, most of the theorems named after him belong to Complex Analysis which I’m not fond of.
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Actually, it was during summer between my last middle school year and first high school year, so I guess it’s in high school. Why do you think it’s cool? Just curious.
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**** **** **
I was not serious, really. I like analysis, but I’m not that kind of mathematician who thinks all those theorems are so cute…
Or were you asking why do I like this specific theorem I mentioned?
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Yes, the Riemann one.
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My bad, I thought you were talking about the Riemann Sum, not the Riemann series. Never studied the latter extensively. Still interested to hear your viewpoint though.
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Oh. It says that under certain circumstances the same infinite summ (series) will have a different result depending on the order of the summands. By this point, you got used to the fact that addition is commutative, and this fact just blows the mind. Like a really big BOOM
Even better, the proof actually shows how to reorder the summands to get any possible summ, it’s constructive, not one of those “existence” or “by contradiction” proofs. And you, like: “Wow, it really works!”.
Nice 
Edit. Sadly, most of my students do not share my fascination with it. Especially during exams 
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You’re a teacher? Never knew that.
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I’m a university teacher. I teach analysis, actually
I also do a research in abstract harmonic analysis, whatever it is, and have a couple of articles published in some journals (including foreign ones). Well, more than a couple, and I’m proud of it.
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Now I am visualizing @alplod sitting at a whiteboard and painting it with “happy little proofs…” bonus points for knowing that reference
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That’s very cool.
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Don’t know the reference, but these could be my words I have a pretty special way of teaching.
Thanks 
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Eternity Painter? I mean, Bob Ross.
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Since we started talking about mathematics here, I’ve recently wrote a joint paper with my former teacher and sent it to the journal. The paper should be reviewed by two specialists before it is published. Usually, reviews contain small recommendations for the edits and additions.
This time, however, the reviewer asked why the fck do we need to study this at all? And we, like, really, why? We thought about it for a week, and decided that, really, why the fck does anybody need this research at all? And withdrew the paper.
Just a daily life of a pure mathematician
P.S. The reviewer said it was an interesting read though. Can’t agree more, it is 
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Pure math, that’s pretty cool! I’m in college studying Maths and Computer Science myself.
Though I imagine withdrawing the paper after presumably doing some work must’ve sucked…?
The Riemann series theorem blows my mind, though… I wouldn’t think rearranging infinite sums could end up like that.
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2+2-1=3 Quick mafs.
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Not that fucking song again…
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