Chess will never be solved, here's why

@12737

I did not compile the random sample of 10,000 (Tromp did), I only inspected and found none can result from optimal play by both sides. Tromp conjectured only 1 in 1,000,000 could qualify.
That explains the reduction from 10^38 to 10^34 or 10^32.

You still have yet to produce a link to said conjecture.

@12738

"without promotion" means without promotion to a piece not previously captured, or without an obvious promotion. If 1 queen is on the board and 7 or less pawns, then you cannot tell if the queen is original or promoted. So for the Gourion number it counts as without promotion, even if the queen is promoted.

still requires promotion to reach this position, BTW.

you blame tromp's data, but the reality is that you are completely misinterpreting what the data set is to begin with.

its hilarious that tygxc is now blaming tromp for the fact that the positions dont line up with his claims. no you moron, its that you are completely misrepresenting what the position set is. those arent a legal positions set LMFAO.

you are on your 4th position, and it STILL doesnt meet the criteria that you claim your position is. there's two dark squared black bishops in your 3rd, and both kings are in check in your 4th.

tygxc why do you continue to dodge the fact that i brought your arguments to multiple math professors and all of them found the same errors that I (and others) point out to you?

why are you making a claim based on a set that you are actively lying about?

I wonder how many direct counterexamples in a row it's going to take for tygxc to admit that his sample isnt what he claims it is. so far, the FOUR EXAMPLES provided are ALL illegal positions or require a promotion, and tygxc claims that his sample is of legal positions without promotion.

correction: turns out that the last one was illegal too. you cant have 8 pawns and bishops on the same color square.

what tygxc doesnt understand is that the 10,000 positions that he's citing as "legal positions without promotion' are the 10k 'possibly legal' piece arrangements that tromp used to narrow down to the 10^45 legal positions number.

i wonder how long its going to take before tygxc realizes this.

@12742

"blame tromp's data" ++ No, I do not blame the data.
Tromp found (4.82 +- 0.03) * 10^44 legal positions, but as the 3 random samples show the vast majority of those legal positions have multiple promotions from both sides and thus cannot result from optimal play by both sides and thus are irrelevant to weakly solving Chess.

Thus the Gourion number upper bound 3.8521 * 10^37 is a better starting point.
It is a bit too restrictive, as positions with 3 or 4 queens do occur in perfect games with optimal play by both sides, thus multiply by 10 to include those, giving 10^37*10 = 10^38 positions.

However, inspection of a random sample of 10,000 positions shows none can result from optimal play by both sides either. Some of the 10,000 are indeed illegal. That is how Tromp worked: he first sampled 1,000,000 positions and then eliminated illegal ones.

i love how you are not just linking the positions directly anymore since you cant find them LMFAO. give the data set of legal positions.

so tygxc, why arent you addressing the fact that ive brought your "arguments" to multiple math professors and they all found the same errors that ive pointed out to you?

no, there's been a half dozen outright falsehoods that have been called out that tygxc has refused to even recognize for months.

tygxc, i know you've read the comment, so why arent you addressing the fact that ive brought your "arguments" to multiple math professors and they all found the same errors that ive pointed out to you?

given the couple years of psychology that ive taken, tygxc seems to be one of those types that sees arguments like this in the form of "if they disagree they're wrong" it connects to a) the way that tygxc is so comfortable leaving factual rebuttals to his claims unaddressed ('theyre wrong anyways, so why should i care') in addition to the complete lack of care that tygxc has for any sort of logical coherency or intellectual integrity.

@12755

The key argument are the 110 draws out of 110 games.
https://www.iccf.com/event?id=100104

thats not a key argument at all lmfao. in fact it has LITERALLY ZERO BEARING. unverified moves mean nothing in terms of solving a game, which is a rigorous mathematical proof.

so tygxc, why are you discussing irrelevant stuff when you havent addressed the fact that ive brought your arguments to multiple math professors and all of them found the same errors that ive pointed out to you?

do you think that by ignoring this fact it'll go away?

hey tygxc, since you seem soooo interested in trying to inform people about your fantasy, why dont you just update the "obsolete" wiki article so you can reach the most people possible?

im sure they wont find all of the same errors that i, my math professors, and everyone else on the forum pointed out.

surely they wont pay attention to how you assign one node to each position where you assume perfect play, where by your own calculations would require over a billion nodes per position.

tygxc you cannot find a single comment by me on this thread that is wrong that i have not already acknowledged as such.

btw tygxc, ive presented your arguments to some friends, and there's currently a division, not whether you're right or not, but whether you are trolling or not.