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Since there's been a mood for cool problems recently, here's one. It's pretty hard but neat ^^ Let S be a (possibly infinite) collection of open intervals such that the union of S covers the closed interval [0,1]. Prove that there is a subset T of S with finitely many elements such that the...

It's become fashionable it seems to write creative questions and post them here (and its a good and fun tradition too ^^) so here's one I wrote about a month ago, that generalises integration techniques for solids of revolution to surfaces of revolution. I don't actually know why this isnt...