- #71
matt grime
Science Advisor
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There is a difference between thinking, "gosh, why didn't I think of that" and the problem/theorem/solution actually being obvious in a sense that a professional mathematician would use, since there's not guarantee that you would *ever* have actually thought of it without hindsight. It can only be obvious if you've thought of the step without being told. So, I will accept that you consider Goedel's theorem to be obvious if you can with hand on heart say that you would, without prompting, have firstly thought it up as a conjecture, and then proved it. Thinking that the steps in someone else's proof are obvious is not a particularly note worthy thing since, if it is a basic explanation (ie omits no steps), written by a good mathematician, then it *will* seem obvious, but that is a function of the writer not the reader. If you're using it in that sense then you don't mean it's "easy" in the sense you could have proved it, you mean you've read a good explanation if it.