"But don't you see that this definition is redundant? If both players don't make mistakes, how could they make moves with a better outcome?"
++ Yes, it is redundant indeed. The word 'ideal' could be striken as the 'optimal' implies the same.
"it seems that all posters here have difficulties communicating with you"
++ They seem unable or unwilling to understand concepts.
'One asks: "what do you mean by that?"'
++ Whenever somebody asks that I explain patiently, sometimes repeating or rewording what I have written 100 posts ago.
"And this behavior is restricted only to this "5 years to solve chess" topic, for apparently no reason; you do not behave like this in other threads with different topics."
++ I get more adversity and insults here probably because people emotionally do not want chess to be solved any time and thus attack me for my opinion of the contrary. I get insulted and ridiculed and I have always stayed polite. Maybe on pure chess related issues the lower rated are not that outspoken.
"You said that you will hold to your position until others will prove you wrong"
++ That is right, I wellcome any other views supported by evidence
"but none has understood what kind of proof you would accept"
++ I accept any argument based on facts and figures. None has cared to provide any facts or figures. They just say I am wrong, a crackpot, .... and then state their own unfounded opinion as a fact without any evidence at all.
"Provability is a higher degree of truth.
What is this, fuzzy logic? Formal logic uses only two discrete value of truth: true and false."
++ It is actually a quote from a Scientific American article on unsolved issues.
"Maybe they thought them true, but as @Elroch said, the vast majority of scientists refrain to say they know they are true, do you agree?"
++ Some work on proving the Riemann Hypothesis, non on disproving it. The same was the case with Fermat's Last Theorem and the Four Color Theorem and other. Formally it is 'hypothesis' or 'conjecture'.
"In fact, they are not proven, that's why we still call them "theories"."
++ That is no longer the case: people used to call it Relativity Theory and Quantum Theory, but nowadays it is just Relativity and Quantum Mechanics / Electrodynamics / Chromodynamics.
"If scientists know that a theory is true, how could they abandon it, if falsified (as it happened to Galilean relativity an classical mechanics)?"
++ Galilean Relativity and Classical Mechanics are still considered true in appropriate areas: speeds much lower than the velocity of light, wavelengths much smaller than the De Broglie wavelength etc. Buildings and machines are still designed by classical mechanics. Synchrotrons are designed using relativity. Semiconductors are designed using quantum mechanics.
"If we solve chess in 5 years, then it is proven it is feasible"
++ True. It is worthwhile to discuss the feasibility.
"our knowledge of the universe is incomplete, so tomorrow we could discover a new phenomenon, which contradicts relativity for example, as electromagnetism led physicists to abandon Galilean relativity." ++ True.
No need to say that. They simply play the best moves, right?
++ It is not that simple. It is not clear if 1 e4 is any better than 1 d4, but it is clear that both are better than 1 a4 or 1 Nh3.
"If a candidate ideal game leads to a draw, then only white moves need retracting.
Why? Isn't it an ideal game?"
++ a candidate ideal game only becomes an ideal game after it is proven that its moves are indeed optimal
"You earlier agreed with me that to solve chess that would not be enough, right?"
++ To solve chess needs calculation towards the table base, but logic can be used to guide i.e. prioritise the search.
"Being 1 pawn up is enough to win.
You cited A0. It doesn't consider the game won in this case, it depends on positions. It's a good advantage, though (expected score about 0.75 according to evaluation functions of strong engines)." ++ "1 pawn wins" - Capablanca
"I respect your opinion even if we disagree." ++ OK let us agree to disagree.
"If chess is a win for Black, with optimal moves, it's a win for Black. Period. Agree?"
++ Agree, but that is not the point. If chess were a win for black, then white's most resistance would be to try and lose a tempo. Say 1 e4 e5 is a win for black. Then 1 e3 e5 2 e4 is a win for white. Then 1 e3 e6 2 e4 e5 is a win for black.
'Right, statistically, but we have to calculate to prove it is always the case, correct (you say that!)' ++ Right: we have to calculate.
Actually I find Haiaku's (and Elroch's) reasoning to be quite sound, ergo my willingness to take a break from refuting the same old stuff yet again. It's better coming from new quarters.
You cannot proceed with Tygxc's plan and achieve a valid solution of chess, or even a single ECO code for that matter
. This is because his definition of weakly solved is flawed and contains numerous interdependent assumptions layered on to allow for knocking 10^44 down to 10^17. Relying on Stockfish for perfect evaluations to bridge to the actually perfect evaluations of tablebases being number one among them. Removing all promotions, then adding back in "acceptable" promotions without actually evaluating what that even means. Casting aside dozens of orders of magnitude for "nonsensical" positions (also an assumption) based on sampling a small set set of positions, when if even 1 out of a million of the positions sampled are valid positions, that limits your reduction to 6 orders of magnitude. Assuming Sveshnikov knew anything about solving chess vs. just analyzing openings when there's no demonstration that his statement is anything more than an offhand boast at a dinner party.
If Tygxc had the money and achieved his 5 year analysis goal, he would be able to produce an engine that plays exceptionally well, perhaps...but it would not be a solution for chess at all.
That doesn't mean you need a strong solution to weakly solve chess. You can weakly solve chess with brute force even without any further pruning...just not within our lifetimes by any foreseeable technology.