First of all, I would like to say that:
- Chess is a draw
- I have no problems with computer-assisted proofs, non-surveyable proofs, etc.
You call your proof an informal proof here,
but have you ever READ any of the articles you quote? Here you go, if you don't want to click the link:jefk wrote: ↑Thu Aug 15, 2024 8:17 pm ...
For some other math purists (and the inquistion), as i wrote several times now, there are
different sorts of proofs; even in math. There are formal proofs, and informal proofs (*).
https://staff.fnwi.uva.nl/d.h.j.dejongh ... proofs.pdf
it's also on wikipedia btw
https://en.wikipedia.org/wiki/Proof_the ... rmal_proof
...
I am not sure if you are too brain-fogged to read the paragraph, or just went to some search engine, typed "Informal proofs", and started copy-pasting links to bolster your argument. Please tell me which case it is, I am interested.The informal proofs of everyday mathematical practice are unlike the formal proofs of proof theory. They are rather like high-level sketches that would allow an expert to reconstruct a formal proof at least in principle, given enough time and patience. For most mathematicians, writing a fully formal proof is too pedantic and long-winded to be in common use.
Everybody else in this thread has the same, or very similar, issue. I don't care if your proof is computer-assisted, non-surveyable, etc. But I do care that it is a proof.
Let me put it with this comparison.
A problem is like a river that you need to cross.
A formal proof is like filling in the whole river. Yes I guess theorem-proving computers can get across now, but it is overkill for humans.
An informal proof is like building a bridge. OK I guess a human can cross it just fine with judgement.
Your proof is like sticking a tree branch on one riverbank and calling it a bridge. If you take offense at it being called "not a proof" / "not a bridge", we can also create a third type of proof: the "Incorrect Proof". If you wish your proof to be called an informal proof, please connect the two sides without fancy lawyerly wordplay. Thank you.
You say that (too long ago) that the burden of proof is on us. No, it is not, it is on the person who claims it is a proof. You cannot just call your stick a bridge and tell us to prove that it isn't a bridge. That is silly.
I have tried to keep this response mostly free of ad hominem insults and Nazi calling. However, I must say that you seem like the one playing with Fritz and SF on Playchess than us "serious" engine programmers.


