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(edit - tldr: go buy the textbook.)

I don't understand your complaint. Papers are written by researchers to each other. The 'correctness' and 'proofs' are the point of the paper. The standard is the simplest possible explanation that includes the justification for all claims made. You are asking researchers to write another, different, article for you. Maybe they would be better spending their time on more research and leave the popular writing to others who might be better at it.

If you are asking for some explanation that lies in between the extremes of original paper and a popular article, you are in luck: this is what textbooks do.

The supersmart ideas usually spread out before the textbook gets written - grad students bring them along as they go into industry, etc. Most - almost all in fact - papers are pretty boring by themselves. The ordinary case is that papers gradually build and refine ideas for a few years until we look back and say 'wow, we made some improvements on a decade ago. Cool. Now, pushing on....'

This idea:

"revolutionary papers present ideas simply and are overlooked, often because of the misguided notion that 'simple to understand' equates to a 'trivial insight'"

is popular in the imagination but I don't think it happens very often. More common is when a great new idea is expressed wonderfully simply and people skilled in the art read it and say 'holy shit that's neat'. For example Einstein in 1905 was a near-nobody that presented powerful ideas very simply and his papers were not passed over.

1. Many papers are never put into textbooks (or if they are, its much later)

2. A ton of research papers are extremely dense, while the actual 'newness' could be explained with a simpler definition and a really good diagram or code.

3. Without making too blanket of a statement, often, formal proofs are much more useful after one understands the intuition.

Inotherwords, I'd like to see a format that stresses expressing the 'new idea' simply. Proving that the new idea is supported by mathematics is definitely important (as you point out - its the 'meat'), but I believe understanding it follows intuition in many cases.

Most papers don't deserve to be in textbooks, as they are of very minor interest by themselves. Textbooks distill the fundamental bits.

I agree with your other points, and many authors do work hard to give an intuitive description. Intuitive, that is, to a reader skilled in the art.

But don't think that just because you don't understand a paper that means it is overly complicated or obtuse. It might be perfectly compact and straightforward if you are familiar with the field and its conventions and notation. And this is the most efficient way to communicate.

Of course, some researchers just suck at writing. A few might even be trying to sound fancy and make things sound complicated or high-falutin'. Grad students start out with this tendency, but we try to beat it out of them ASAP. Some are never redeemed. But I like to think my group produces readable papers.

Proving that the new idea is supported by mathematics is definitely important

No, it is all that matters. Having a neat and intuitive understanding of a new idea that is wrong has at best no value and at worst is actively harmful.

> All of the 'correctness' and 'proofs' are useful for a separate crowd, and should also be included, but in a separate section because they are for a different user, namely, for other academics who are well versed in the domain.

Isn't the audience of an academic paper other academics? Placing proofs and details in a separate section is convenient for the layman but bothersome for the intended audience. Often, it is precisely these details that are important. In mathematics for example, using new methods to give simpler proofs of old theorems is very useful; here, other researchers would care about how particular details are resolved.

One of the things that motivate people to work on academic research is the possibility of doing what you suggest should not be done. Academic researchers love reading and writing precise papers, the same way that classical musicians love to read and write complex music. Do you really think that they should measure their work by other people standards? If you don't like what academics do, just write your own layman versions intended for public consumption. Also, in many cases that is not even possible: most papers are just making a small improvement in a very complex issue, so it is very difficult to provide a concise version that is intelligible to non-professionals.

I think that might be in danger of becoming like infographics - things that people share and coo over but without really understanding what it means and what the implications are.

I could draw you a picture of my latest papers if you wanted, and it may look pretty but I think you'd be cheating yourself if you thought you were getting anything of out it.

I think you made a valid point, but it is not an argument against doing things another way.

You're talking about a different issue. Your suggestions don't solve the problems I used to motivate my post.

Abstract, Introduction, Conclusion (5-10 minutes max) is usually the first readthrough for an academic paper (I typically read them in 3 readthroughs).

If I can't get the key value of the paper from that first readthrough the paper is usually not very good. Writing a good paper is actully hard and the typical formats exist for a reason. If you review say 20 papers/day during your initial research phase it's more valuable to have clear structure and an abstract than to have "easy to understand" language with lofty examples.

So basically...good papers do provide the simplest explanation possible. In fact it's something you very actively try to do when writing a paper. Or in other words: I think you just want more papers to be good (there's a lot of unreadable crap that seems pseudosmart but ask most academics and they'll tell you they strive for easy to understand).

To be fair, most papers include abstracts that try to give that "simplest explanation possible". Though, as others have pointed out, these papers are meant for communication between researchers and not general consumption.

I do think there's a problem with how research gets shared more generally though. I wish there were more scientifically literate writers at that boundary, because unfortunately, there aren't enough hours in the day for researchers themselves to fill that role.

Try lolmythesis.com/