That is not an analogy.
Oh yes it is. There is not just a single proofing method in chess, as ell as several other sciences.
Squaring the circle is fairly easy, although not possible by using just classical geometry.
Some still haven't given up on trisecting an angle.
As I said before, this thread just had to have some words altered to get opinions, not be asking true or false of something that cannot, at least presently, be proven.
In seeing engines go at it, I see around a rating of 3700 the draw rate with a comparable engine goes up to near 100% which tells me there's an upper limit in ratings right near that as opposed to some saying not and with some saying it's many hundreds of points higher (in our current non-robust system). If there is some way to wiggle into a forced win, we do not know but I believe chances of that are so slim to none now as there appears to be equalizing ability to prevent that, and even if a slight imbalance in pieces occurs, a blockade or perpetual checking dos the evening out. Still not a proof and I wouldn't use the word proved in this regard. I'd simply say it seems extremely unlikely that with "best play" from both sides that there can be anything but a draw.
This conclusion 3900 posts ago I suppose wouldn't stop this ongoing debate on account of the true or false aspect of the question.
Trisecting the angle with a ruler and compass has been proven to be impossible.
Prometheus I both assume chess is a draw AND claim chess is a draw. This is based on a whole lot of evidence gathered over the years. Most of this evidence you are either not aware of or don't understand.
[it is very obvious you do not know most of the evidence]
As I said, it doesn't matter if there is a "whole lot of evidence", this is still a mathematical problem and as such, a proof is requiered to make a claim, then again, this has been said ad nauseum here.
Why is it a mathematical problem? Make your case.
Steinitz, who sought to put chess on a scientific foundation, asserted confidently that chess is a draw with best play. A century and a half later, we have far more reason to share his confidence. The preponderance of evidence demonstrates that chess is a draw with best play.
How is it not a mathematical problem? The simple fact that a proof can in principle be done through the mini-max algorithm already shows it's a mathematical problem. Regardless, I see you want to keep insisting on your evidence even though I already told you I believe chess is a draw so I implore you to stop being redundant.