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This is good advice, but for a very different problem. 1. The problem in math is not that the way the "orthodoxy" insists on presenting things in a suboptimal
by saithound 3y ago
This is good advice, but for a very different problem.
1. The problem in math is not that the way the "orthodoxy" insists on presenting things in a suboptimal way, but that if the reviewers find a good explanation of your result, they'll recommend that you publish in a lower-ranked venue than your result would ordinarily merit (at least unless you solved a famous problem). So researchers are incentivized to make the presentations of the proofs as opaque as possible. You can see this in conference and workshop talks (which tend to happen pre-publication in math), in many fields speakers always avoid presenting _any_ proofs. Putting better explanations in an appendix, which the referees can read, simply wouldn't help.
2. Being easy-to-understand at first is actively punished, but even being easy-to-understand in the long run is not rewarded. You can always write an explanatory blog post after the publication decision has been made, but you won't put effort into writing one if you don't gain anything from it. This applies even more to the people in the example, who wrote on a typewriter in the 1970s. There were no blogs, and it was much harder to get an appendix through because page limits were physical limits, and the act of writing was much more onerous before the age of computers and LaTeX. There was no point to doing it given that it was actively discouraged.
- abdullahkhalids 3y agoI think this is fair criticism. I am coming for theoretical physics, where, at least in my area, I see my proposed strategy actually being practiced quite often. Physicists are quite a lot less grouchy than mathematicians, and there is a lot less of your point 1 in Physics. That said, to present in "high impact" journals, you do have to write your results in some grand fashion where it is the greatest thing since sliced bread. But the results, not the proofs. Then again, the difficult theorem proving papers are rarely published in high impact journals. Also, I have seen quite a number of papers where the arxiv submission is more updated/expanded than the published version. If you have some new framework that you want people to adopt, then it is in your benefit that grad students actually understand the ins and outs of it, so people so inclined do put in some effort to make their results accessible.
- light_hue_1 3y ago> if the reviewers find a good explanation of your result, they'll recommend that you publish in a lower-ranked venue than your result would ordinarily merit (at least unless you solved a famous problem). Even if you solve a well known problem. I gave a talk once where I did so as a very junior student. During the Q&A a very well known senior person got up and basically asked me what's the point and this is all trivial anyway. Thankfully I remembered the exact place where the founder of the entire field had said just recently this is one of the hardest problems in the space and the problem he had hoped to maybe one day get to when he started the entire enterprise. The audience laughed and the guy apologized. But I learned my lesson. Talks and papers need a little magic. For some people you can't just solve a cool problem, they need to think that they couldn't have done so and that they don't quite get how you did it. I now include something in every talk that I don't expect the audience to get just so what I'm doing seems "hard" to people who think this way.
- GTP 3y agoThanks for sharing your experience, but it leaves a bitter taste in my mouth: although well motivated, I find the outcome to be unfortunate. In an ideal world, people would appreciate the elegance of a simple solution to a seemingly hard problem. But, as you pointed out, the sad reality is that to some people, if your solution doesn't look hard, it reflects negatively on the importance of your result
- solveit 3y agoOne problem is that many problems seem easier than they are, and you only find out that they're hard by failing to solve them. I have often wondered how many unremarkable foundational results would be considered major accomplishments if they didn't have the mis(?)fortune of being found by the first person who tried.
- Dalewyn 3y agoI've always found math is taught in the most daft, bland, vapid, worthless ways imaginable and I've thought it had to do with those who do the teaching: The teachers and textbooks. But reading this comment chain, am I correct to understand that this problem stems from the very essence of math itself? The people who live and breathe math just fucking hate sharing their passion with others? What the hell.
- gosub100 3y agoCould be the hazing mentality: I suffered to get here, why should I allow others to get here without suffering?
- lupire 3y agoAcademics (not just mathematicians) are famously bitter and political, because they do things tht the world values so little, but they care about so much, and they are fighting for scraps of recognition and funding.