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Aug 18, 2019 at 23:33 comment added Francois Ziegler Redundancy (1.) is good when the several proofs are by different authors. Several proofs in one paper, on the other hand, are not a good sign (as Arnol’d relished in pointing out).
Aug 18, 2019 at 12:58 comment added Will Sawin For 4, I either agree and want to clarify or disagree slightly. You should understand all proofs presented in those classes, but you should trust the professor / the author about most of the theorems which are used in the classes but not proved, as sometimes happens when the proof of a result is too long and difficult or too far afield. It's definitely good to sometimes go beyond what is taught but in general the professor or textbook author probably decided what proofs to include based exactly on what will be useful to you in the future.
Aug 18, 2019 at 12:52 history made wiki Post Made Community Wiki by Todd Trimble
Aug 18, 2019 at 12:50 history answered darij grinberg CC BY-SA 4.0