Chess will never be solved, here's why

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DiogenesDue
Optimissed wrote:

I might wonder how come you know the word "succinctly".
Then I remember that form doesn't = content. You're a fool.

Ahh, you've driven yourself back to the personal insults stage...the self-imposed break is usually not far behind...

Elroch
MARattigan wrote:
Elroch wrote:

A chess strategy is a decision process that suffices for all positions that can arise against any opposing play. i.e. it picks a move in every position that can arise when applying it.

I hope seeing the definition helps you.

 

To nit pick it needn't necessarily pick a move. It could pick a draw claim under the 50 move or triple repetition rules or the offer or acceptance of a draw or nothing at all if it's not your move.

These are moves in the general sense - choice of action when it is your turn,

It could also leave you free to pick from a selection of moves (as in a strategy that takes one of the best moves from Syzygy when available),

I said it picked a move. I didn't actually say it always picked the same move in a given position. happy.png

I would prefer: 

A game strategy for a player is a function from the set of game positions with values that are (possibly empty) sets of actions for that player that are legal under the rules.

I am not sure why you want to permit an empty set. If it is your turn you need to do something!

Where a game position means simply a situation arising in a game.

As you are aware, it only needs to be the positions that can arise when the strategy is being used. Quite an important point, including practically - as eg 10^14 versus 10^20 positions for checkers (if I recall).

 

Elroch
btickler wrote:
Optimissed wrote:

You just talk rubbish regarding expression in the English language. I can't be bothered to argue it out with you and I think your reaction is highly eccentric to say the least. Considering who there is agreeing with you, I'm afraid that counts as a negative and not a positive. You really ought to get him not to give your posts the thumbs up. Looks bad. I've been discussing the tactic itself and not its name or anything else you think applies to that name or should apply to it. You're the one with the comprehension problems, Elroch. This isn't a PhD thesis.

However, I intend to read what you wrote very carefully, regarding strategy stealing, in the hope of learning something, because it isn't too late for some of us to learn. (tygxc is the one who gave that particular tactic that name.)

It got a thumbs up because it explains your misunderstandings and lack of ability to express yourself on many topics, and encapsulates your logical shortcomings quite succinctly.

@Optimissed, I appreciate the thumbs up from @btickler, a level-headed and detached analyst.

Please also note that while @tygxc may have introduced you to the term "strategy stealing", those of us who are more familiar with peer-reviewed and/or textbook work on solving games were already familiar with it. The normal reaction to learning of some terminology is to improve your technical vocabulary, not to either guess wrongly where it arose or to say you are going to obfuscate by refusing to use it. Note also that searching for information will usually help. Do it many times a day and many errors will be avoided.

MEGACHE3SE
tygxc wrote:

@8067


"I know that better than any here."

wdym u literally said several false things about it.

im literally going into it as a profession, while you still make basic errors on your 'proofs' for stuff like strategy stealing.

"mathematicians were willing to believe rumors of counter examples" ++ Bad mathematicians...

++Actually no, it included the guy who ended up proving fermats theorem was among the people who believed it.  

imagine saying "bad mathematicians", lol. 

"contrary to zero evidence/logic" ++ I presented the evidence and the logic.
If you do not understand it, then that is your problem.

i understand that it is explicitly wrong and doesnt constitute evidence nor logic. 

"you need to address the fault in your strategy stealing claim" ++ There is no fault.
If 1 d4 Nf6 2 c4 g6 3 Nc3 d5 wins for black, then 1 Nf3 d5 2 g3 c5 3 d3 Nc6 4 d4 wins for white.

++ black doesnt have to play d5, you have a logical error.  we will just say that 1.  NF3 d6 could be a win for black.  

"Come up with any black win and there is a corresponding white win by strategy stealing.
Whatever black tries, white always has a way to lose a tempo. That is reductio ad absurdum."

++no that isnt. you SAY that there is a way to lose tempo, you have to prove it.

 

MEGACHE3SE

Optimissed I would recommend u look into the proof for the game of "chomp"  

MEGACHE3SE
tygxc wrote:

@8072

"a strategy-stealing strategy for white. It would need to cover EVERY black response."
++ It is up to those that put forward chess being a black win as a plausible hypothesis to come up with evidence supporting that claim. For example 1 d4 Nf6 2 c4 g6 3 Nc3 d5 being a black win. Then 1 Nf3 d5 2 g3 c5 3 d3 Nc6 4 d4 is a white win.
Whatever possible black wins the proponents of the black wins hypothesis come up with,
there is a corresponding strategy stealing by white that disproves it.
It is up to the proponents of black wins to come up with plausible black strategies.
Then the strategy stealing reduces those hypotheses ad absurdum.

that actually hurts to read as a math student.  a statement is to be regarded as a possibility until it is explicitly proven to not be possible.  end of story.  I have NO burden of proof here.

MEGACHE3SE

txgyc 

https://en.wikipedia.org/wiki/Strategy-stealing_argument#Chess

EliMastey

Why do people talk about chess being solved when the point of the game is simply to play and to figure things out on your own? "Solving chess" would simply ruin the game, as it takes away the actual fun of figuring out positions that you haven't seen before.

Dollmaker44
TheChessIntellectReturns yazdı:

Imagine a chess position of X paradigms. 

Now, a chess computer rated 3000 solves that position. All well and good. 

Could another computer rated a zillion solve that position better than Rybka? 

No, because not even chess computer zillion could solve the Ruy Lopez better than a sad FIDE master could. 

the point is, there's chess positions with exact solutions. Either e4, or d4, or c4, etc. 

nothing in the world can change that. 

So if you are talking about chess as a competitive sport, then chess has already been solved by kasparov, heck, by capablanca. 

If you are talking chess as a meaningless sequence of algorithms, where solving chess equates not to logical solutions of positional and tactical prowess, but as 'how many chess positions could ensure from this one?'' type of solutions, then, the solutions are infinite. 

So can chess be solved? If it is as a competitive sport where one side must, win, then it has already been solved. Every possible BEST move in chess has been deduced long ago. 

If chess is a meaningless set of moves, with no goal in sight, then sure, chess will never be solved. 

 

<3

 

MARattigan
Elroch wrote:
MARattigan wrote:
Elroch wrote:

A chess strategy is a decision process that suffices for all positions that can arise against any opposing play. i.e. it picks a move in every position that can arise when applying it.

I hope seeing the definition helps you.

 

To nit pick it needn't necessarily pick a move. It could pick a draw claim under the 50 move or triple repetition rules or the offer or acceptance of a draw or nothing at all if it's not your move.

These are moves in the general sense - choice of action when it is your turn,

In that sense agreed.

It could also leave you free to pick from a selection of moves (as in a strategy that takes one of the best moves from Syzygy when available),

I said it picked a move. I didn't actually say it always picked the same move in a given position.

Slight nuance. The strategy can be "you choose one of these moves" in which case the strategy doesn't do the picking. I'd still call it a strategy.

I would prefer: 

A game strategy for a player is a function from the set of game positions with values that are (possibly empty) sets of actions for that player that are legal under the rules.

I am not sure why you want to permit an empty set. If it is your turn you need to do something!

Precisely because it's not always your turn - or you may be in checkmate or a dead position. Or you may be mid-way through a move and the strategy doesn't suggest you resign etc.

Where a game position means simply a situation arising in a game.

As you are aware, it only needs to be the positions that can arise when the strategy is being used. Quite an important point, including practically - as eg 10^14 versus 10^20 positions for checkers (if I recall).

Yrs I did make the point that the domain of my function could be restricted on that basis when I first posted, but deleted it on the grounds that it unnecessarily complicated things. The domain can always be extended to the full set of positions by e.g. mapping to {resign} or {pick your nose} or {} for positions outside of the restricted set, since the strategy will never lead to any of those.

Ir can as you say have practical implications, but the definition doesn't need to mention them. 

 

 

MEGACHE3SE
Optimissed wrote:

Don't forget, there's no proof available because the light coming from that star is millions of years old. Maybe it was changed to scrambled eggs in the meantime.

theres a huge difference between a mathematical proof and a scientific 'proof'.  one is based on axioms and absolute certainty (disregarding godel and that stuff, of which ultimately doesnt change what's at hand here), while the other is based on observation and statistical likelihood.  

MEGACHE3SE

there is no scientist claiming a mathematical proof of the contents of the stars.  thats a false equivalency

MEGACHE3SE

"Chess, however, cannot be represented mathematically"

your son is wrong, or you are using the wrong terms/understanding of them.  

you just describe the rules of the game, the board, and the pieces.  boom.   mathematical representation of chess.

 

MEGACHE3SE
Optimissed wrote:

I think you're wrong. I think my son's Masters Degree dissertation (MMath) was about the contents of stars. But it is meant as an equivalency in a different way. Scrambled eggs is ridiculous but can't be proven not to be true because we can't analyse the light being emitted from that star NOW.

Chess being a forced win for black is ridiculous in exactly the same way and it's difficult to prove that untrue, too!

A forced win for black is just as statistically ridiculous as the egg-star.  i am not disputing that.  however, tygxc's claim is that the forced win for black was NOT the same way ridiculous, and I was disputing that part.  in fact, i was probably going to use the same analogy u did, with an egg star, or something like that.

MARattigan
Optimissed wrote:
...

Chess, however, cannot be represented mathematically. ...

http://home.planet.nl/~narcis45/Chess/Chess%20Math%20Definition.pdf 

MEGACHE3SE
Optimissed wrote:

In his physics thesis he discovered evidence for an unknown state of matter and since then, it seems to have been somewhat confirmed. His thesis was to represent magnetism in terms of fermionic spins. I asked him if chess could be reduced to a set of equations such that if the equations were solved, we would could solve positions that way. He said no, it's impossible. That means, in reality, it can't be done say within 50 years at the present rate of progress.

ey yo thats really cool. thanks for defining more clearly what you meant by 'represented'  and yeah, that was different than what i meant.  i should have clarified what i meant better.

also "  That means, in reality, it can't be done say within 50 years at the present rate of progress." - i agree with that.  

when i say represented, i meant the rules of the game itself being put into a computable format.  I didnt intend for the algorithm to evaluate within human capabilities.  

MEGACHE3SE
Optimissed wrote:
MEGACHE3SE wrote:

"Chess, however, cannot be represented mathematically"

your son is wrong, or you are using the wrong terms/understanding of them.  

you just describe the rules of the game, the board, and the pieces.  boom.   mathematical representation of chess.

 

He's a brilliant mathematician. He's performed maths that NO-ONE has managed to do before.

we were using different terms.  

UPChess13

T A B L E B A S E

MEGACHE3SE

recap:   people were using different terms to define/understand things and that lead to confusion.  outside of tygxc, there isnt much real disagreement besides terminology.

MARattigan
Optimissed wrote:
MARattigan wrote:
Optimissed wrote:
...

Chess, however, cannot be represented mathematically. ...

http://home.planet.nl/~narcis45/Chess/Chess%20Math%20Definition.pdf 

No that's a static depiction.

Well whatever it is it represents chess mathematically,