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To the passive reader a routine computation and a miracle of ingenuity come with equal case, and latter, when he must depend on himself, he will find that they went as easily as they come.--P.R.Halmos
A mathematical theory is not to be considered complete until you make it so clear that you can explain it the first person whom you met on the street. --D.Hilbert
Try a hard problem. You may not solve it, but you will prove something else.--John.E.Littlewood
I believe that mathematical reality lies outside us, that our function is to cover or observe it, and that theorems which we prove, which we describe grandiloquently as our "creations", are simply the notes of our observations. --G.H.Hardy
The ultimate goal of any branch of mathematics is to classify and characterize. --J.B.Conway

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