[eesmith]

There is no single fundamental point.

If you want to be that broad about it, science journals publish a lot more than just method development, including obituaries and opinion pieces on where funding should be directed.

Here's a famous paper showing that "Euler's conjecture on sums of like powers" is incorrect - https://www.ams.org/journals/bull/1966-72-06/S0002-9904-1966... . I will repeat the body in full:

> A direct search on the CDC 6600 yielded 27⁵ + 84⁵ + 110⁵ + 133⁵ = 144⁵ as the smallest instance in which four fifth powers sum to a fifth power. This is a counterexample to a conjecture by Euler [l] that at least n nth powers are required to sum to an nth power, n>2.

Do I need to know how the direct search was carried out to confirm Euler's conjecture was false?

No.

  >>> 27**5 + 84**5 + 110**5 + 133**5 == 144**5
  True

And now that you know it isn't true, you might adjust which project areas to spend your time on. Which is part of what we get from scientific publications.

Just because you prefer one sort of scientific research doesn't mean other forms aren't science.

Again, is Kekulé's model of the benzene ring less scientific because it came to him in a daydream?

We accept Newton's publications where he secretly used the calculus, even though he didn't publish the calculus, because they could be proved through other more laborious means.

Why is it not scientific to write publications which use secret software, so long as we can verify the results?

[tsbischof]

For the article on Euler's conjecture, I am aware of this paper and that it serves as a sufficient proof of work for publication. It includes context for its purpose by citation, and the methods for verification were well-established. There is a class of literature where this type of structure works.

For the Kekule paper [1] there is a significant amount of information about the context and reasoning for the claim. This is not an isolated concept and he wrote at length as to why the idea might be plausible given the current evidence. He also could have written solely about the dream without context, but that lacks a grounding in the reality he was attempting to describe.

If it is possible to write a paper where the result is possible to verify using already-known methods, then by all means write in that style. But this is a subset of the useful papers to be written, and in my experience a small one.

[1] https://gallica.bnf.fr/ark:/12148/bpt6k281952v/f102.item

[eesmith]

> But this is a subset of the useful papers to be written, and in my experience a small one.

Certainly. I never claimed otherwise.

But bloaf's and lonesword seem to think such papers are of only superficial merit at best, and that detailed steps to reproduce the research are essential.

I disagree with that viewpoint.