Chess will never be solved, here's why

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Avatar of tygxc

@6919

1 e4 e5 2 Ba6? is irrelevant to solving chess.
We know that loses by force for white.
It is not necessary to burn computer engine time on something we already know.
Such trivial obstacles are needed if you want to not solve chess.

Relevant questions:
How to draw against 1 e4, 1 d4, 1 c4, 1 Nf3
How to draw against 1 e4 e5 2 Nf3, 2 Nc3, 2 Bc4, 2 d4
How to draw against 1 e4 e5 2 Nf3 Nc6 3 Bb5, 3 Bc4, 3 Nc3, 3 d4
Etc, etc.

Avatar of MARattigan
EylonShachmon wrote:
MARattigan wrote:
EylonShachmon wrote:
MARattigan wrote:
EylonShachmon wrote:
...

There are (64!)/(32!) positions just with all the prices on the board...

Er, you sure about that? I think I prefer the gibberish.

So long as we're talking about basic rules positions at any rate (@tygxc obviously isn't).

No I ment positions in total not legal positions, that is the number if you just put every piece in a random position.

Only if you label the pieces, e.g. calling your white horses Prancer and Charger.

one of the things they check when they check if the position is legal or not is stuff like bishops not on the same colour, pawns not on first and last row, kings not near each other ….

Last is normally king of side not to move not in check, but you haven't mentioned side to move. Some tablebases have extra constraints like no triple checks (but unless you can get hold of the generating code you'll probably need to find out by trial and error). The upshot is to significantly reduce the number. 

The best available estimate of legal positions under basic rules to date is the paper you didn't like, as far as I know. And it's not 10^44 as @tygxc keeps trying to tell everyone, but (4.82 +- 0.03) * 10^44.

If you want to talk about legal positions under competition rules and equate them to game states (as @tygxc does) then you have to increase that number by a ridiculously huge unknown factor (as @tygxc doesn't - he instead divides it by something rather less huge but more ridiculous). 

(! Is factorial, it is the number times every integer smaller, so 5! = 5•4•3•2•1=120, 6! = 6•5•4•3•2•1=720, 10! = 10•9•8•7•…•2•1=3,628,800)

I assumed so.

 

Yes if you label the horses that was a very basic number to start with, but as I said if you make the calculations with the horses and the pawn unlabelled(and the king and the rooks have a “can castle” option) and you include the positions with less than 32 pieces is comes to about the same number, a bit less, my point with 12/2,000,000 still stands.

No it doesn't.

You haven't quantified what "about the same number, a bit less" is, so you don't have a point. The number you originally came up with was (8! x 2! x 2! x 2!)^2 = 104044953600 times too high.

You then proceed to assume Tromp's measured ratio of legal to total positions will also apply to positions corresponding to the diagrams in your estimate, whereas you include all diagrams with pawns on the first and eighth ranks, 100% of which are illegal, and Tromp doesn't include any, so that would be invalid even if you were to quote the correct ratio.

 

Avatar of nba_xander

that was a lot to take in

Avatar of BoardMonkey

100,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Avatar of Optimissed
MARattigan wrote:
Optimissed wrote:


Seriously, no-one is going to buy this as any kind of a solution for chess...The entire, artificial idea of "weakly solving", "strongly solving" etc is complete nonsense because in practice, they overlap considerably.

...

Weakly solving overlaps strongly solving in exactly the same way that vegetables overlaps cabbages. That doesn't mean that no-one is going to buy any cabbages.


One might have guaranteed that you wouldn't understand why they overlap. In the sense in which you mean it, weak solving is a sub-set within the set of vegetables.

Your problem or the problem experienced by anyone who thinks like you (which is wrong way) originates from the fact that unlike with vegetables, where we can just look at the vegetable and determine if it's a cabbage or not, we cannot just look at a chess position and determine whether it is relevant to a weak solution. Therefore, at the very least, a very large excess over the number of positions that turn out to be relevant to a weak solution must be examined very carefully. I don't expect you to understand that, of course. However, it is the main reason why the nomenclature is completely unsuitable and the whole thing needs to be rethought by competent people.

Avatar of Elroch

No. He was right and you were wrong. Best to see it and move on, rather than a vain attempt to obfuscate.

Avatar of Optimissed

So the discussion between tygxc, Eylon and yourself, whilst not doubt scintillatingly and extravagantly interesting to those concerned, doesn't bear the relationship to a practical means of solving chess which a blind ferret in a barrel of tar bears to an RAF pilot with a pair of exceptionally good opera glasses, sitting in the stalls of a theatre in very good lighting conditions. I passed the RAF pilots' vision test and even though I'm not an expert on ferrets, I think I'm right and that you and all your ilk are wasting other people's time.

Avatar of Optimissed
Elroch wrote:

No. He was right and you were wrong. Best to see it and move on, rather than a vain attempt to obfuscate.

You could never in a million years actually support that in a rational debate. Just innuendo and the fact that you choose to place your confidence in a useless and irrelevant pretence because you always support authority, since you represent authority yourself, or see yourself as so doing. happy.png You, sir, are a Flat Earther! happy.png

Avatar of mpaetz

     If people wish to engage in a circular discussion of this (or any) topic, delving into minutia of any aspect, that is their choice. They may well find it entertaining and informative.

     Anyone who finds this a waste of time has the simple option of not bothering to follow this thread.

Avatar of Optimissed

They also have the option of making an occasional statement, for form's sake, regarding just why some of the participants here, although they may seem to speak with authority, are misleading others because they're incapable of thinking clearly and well.

Avatar of MARattigan

Occasional?

Avatar of Optimissed

In comparison with the frequency with which you and others talk your nonsense.

Avatar of Optimissed

It's clear that there are half a dozen of you who monopolise the conversation. No problem really, except that none of you are seeing the reality with any clarity. For some inexplicable reason, you're all continuing to try to discredit tygxc's views, apparently unaware that they've been shown to be irrelevant. That in itself illustrates your priorities, which certainly don't include understanding the topic yourselves. 

Avatar of Optimissed
Squid wrote:

bump

Oh have you encountered an underwater obstruction, sir? No damage, I trust.

Avatar of Optimissed

@Elroch 6925
If you wanted to solve chess and some naïve person entrusted you with the task, how would you approach it? What's the first thing you need to do, before you can proceed to actual analysis of lines?

Avatar of MARattigan

First thing you need to do is understand what "solve chess" means.

Avatar of Optimissed
MARattigan wrote:

First thing you need to do is understand what "solve chess" means.

First thing you need is to understand that you're mimicking the normal reaction of incompetence to being challenged. 

Avatar of Optimissed

Normally, "solving" something means to view it as a puzzle, which has one or more correct answers. So you find the answer. Chess is different. Assuming that it's drawn by best play, there's a large number of lines that are drawn by best play. Logically, none is better than the other. However, a project to try to determine the best lines of play to answer every move might be envisaged. That's a mistake, of course, since "best" is according to a subjective viewpoint, providing the condition of not losing by force is fulfilled. Also, "every move" includes a majority of rubbish nonsense moves, which are really irrelevant to the game of chess.

Then again, it may be psychological, in that we're looking for lines which have the best chance of winning. Given that all this is nonsense and I could continue to write correct things ad infinitum and you probably wouldn't follow them, I would suggest that we revert to plan. You try to think of the first thing that needs to be done, to solve chess. Same applies to Elroch, because if he didn't understand my previous comment to you and the reason for it, he seems to be indicating that he won't follow much of this either.

Avatar of Optimissed
DesperateKingWalk wrote:
Optimissed wrote:

Normally, "solving" something means to view it as a puzzle, which has one or more correct answers. So you find the answer. Chess is different. Assuming that it's drawn by best play, there's a large number of lines that are drawn by best play. Logically, none is better than the other. However, a project to try to determine the best lines of play to answer every move might be envisaged. That's a mistake, of course, since "best" is according to a subjective viewpoint, providing the condition of not losing by force is fulfilled. Also, "every move" includes a majority of rubbish nonsense moves, which are really irrelevant to the game of chess.

Then again, it may be psychological, in that we're looking for lines which have the best chance of winning. Given that all this is nonsense and I could continue to write correct things ad infinitum and you probably wouldn't follow them, I would suggest that we revert to plan. You try to think of the first thing that needs to be done, to solve chess. Same applies to Elroch, because if he didn't understand my previous comment to you and the reason for it, he seems to be indicating that he won't follow much of this either.

You are good! And one who understand the true nature of chess. Thanks for your postings.

Thanks a lot. I do really appreciate the positives, all the more so because I never expect them. I hope you realise that you're in a non-vocal group. I hesitate to say "minority" since plenty of people have criticised the standard of commentary here.

Avatar of tygxc

@6936

"First thing you need to do is understand what "solve chess" means."

++Ultra-weakly solved means that the game-theoretic value of the initial position has been determined,
weakly solved means that for the initial position a strategy has been determined to achieve the game-theoretic value against any opposition, and
strongly solved is being used for a game for which such a strategy has been determined for all legal positions.

The only meaningful to discuss for Chess is weakly solving.
For all practical purpose Chess is already ultra-weakly solved,
and the game-theoretic value of the initial position is a draw.
Strongly solving Chess would generate a 32-men table base
and need to determine a strategy for all 10^44 legal positions, that is too much.
That leaves weakly solving, and that needs 10^17 relevant positions,
which present computers can calculate in 5 years, like GM Sveshnikov said.

Just like weakly solving Checkers, pruning is allowed. Schaeffer calculated only 19 of the 300 tournament openings, eliminating 200 by transposition and 81 by pruning.
Just like weakly solving Losing Chess the 'best first' heuristic is allowed.
Just like weakly solving Connect Four it is allowed and beneficial to incorporate game knowledge. That is also what Prof. van den Herik wrote.