True or False Chess is a Draw with Best Play from Both Sides

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Numquam
Optimissed schreef:

<<<I have got better things to do then go through a 'proof' which has flaws in almost every sentence. In short it is based on too many assumptions. If you take away those assumptions the whole proof falls apart. And really you shouldn't pretend to know anything about mathematics. You can google the definition of exponential series yourself.>>>

What assumptions? I have better things to do than to reply to people who either cannot understand English, are far less bright than they think they are, or both, and who are bad-mannered into the bargain. If you were genuine you wouldn't be hostile. You're hostile, which means insecurity. You don't know what you're talking about, so be quiet and in the future don't be so bloody rude.

You don't respect other people's opinion. I am not attacking you as a person. There is no need to call people stupid, hostile or tell them to shut up. Clearly your post is not constructive. You don't like criticism, so it may be better to stop pretending that you know anything about mathematical proofs. 

Numquam
Optimissed schreef:

I think I've stated about 8 times now that I don't know any maths but I'm a good logician, and that we do have a professional mathematician in the family but I wouldn't wish to trouble him with anything like this. The criticism you speak of isn't genuine. If it were genuine I would always take it seriously.

The criticism is genuine. Prometheus was genuine too. People may not give an elaborate explanation, but that does not mean they are wrong or not genuine. I can decide to give one or not. I don't really care if you believe me. Any mathematician would think the same about your proof. So you better ask that professional mathematician.

Btw I did give one flaw in your proof in one of my earlier posts:

One more thing. The proof you gave is also based on the concept 'advantage'. 'Advantage' is very subjective and used by beings who cannot play perfect chess. Objectively a position is either a win for one side or a draw. So a mathematical proof would not contain the term 'advantage'.

Prometheus_Fuschs
zborg escribió:

What mindless BS -- repeatedly over-posting that mathematical gibberish above.

Suggest you stick to English (not math pseudo-proofs), following 2600+ posts into this nutty thread. 

That's what people say when they don't understand something.

Prometheus_Fuschs
Optimissed escribió:

I think I've stated about 8 times now that I don't know any maths but I'm a good logician, and that we do have a professional mathematician in the family but I wouldn't wish to trouble him with anything like this. The criticism you speak of isn't genuine. If it were genuine I would always take it seriously.

If you were a good logician you'd know how useless inductive arguments are to prove something.

Prometheus_Fuschs
Optimissed escribió:
Numquam wrote:
Optimissed schreef:

I think I've stated about 8 times now that I don't know any maths but I'm a good logician, and that we do have a professional mathematician in the family but I wouldn't wish to trouble him with anything like this. The criticism you speak of isn't genuine. If it were genuine I would always take it seriously.

The criticism is genuine. Prometheus was genuine too. People may not give an elaborate explanation, but that does not mean they are wrong or not genuine. I can decide to give one or not. I don't really care if you believe me. Any mathematician would think the same about your proof. So you better ask that professional mathematician.

Btw I did give one flaw in your proof in one of my earlier posts:

One more thing. The proof you gave is also based on the concept 'advantage'. 'Advantage' is very subjective and used by beings who cannot play perfect chess. Objectively a position is either a win for one side or a draw. So a mathematical proof would not contain the term 'advantage'.

>>>I'll be up in Newcastle for a couple of days in a week's time and I'll be seeing my son then. I can explain the problem to him, explain that there are people who seem to doubt that chess is always drawn with best play and that I tried to explain to them that a mathematical proof should be possible and it would be based on the explanation I gave. Then it's up to him if he gets involved. If it grabs him and he thinks it's worth thinking about then he may derive the mathematical proof but it's equally likely that he'll be busy or uninterested. I think it may be a significant amount of work just thinking about the problem. However, I'm completely confident that the inductive proof I suggest is the correct one and it's based on an analysis of trends regarding advantage differentials as the game progresses. The point is that it would take an extraordinary event to reverse the trend of narrowing of advantage differentials into widening them and this could potentially start at any time, if I'm right in thinking that chess contains no innate properties that would provide such a singularity.

I think your problem is that I really did explain accurately why this is impossible and you can't accept that because you don't understand the explanation and you don't like to think of others understanding things you don't. This especially applies to Prometheus, who became very hostile for no reason except his subjective attitude to what I've mentioned. Others are just arguing for the Hell of it. Others are trolling a bit. And some are genuinely confused and think it's necessary to estabish every possible line in chess in order to determine this. And then Prometheus, who has told me about ten times that inductive proofs are impossible. Of course, he's wrong. What he should be saying is that inductive proofs are not deductive ones. Nevertheless, all scientific proofs of any consequence are based on induction, which can be defined as the drawing of a general principle from an observational trend, if it's strong enough, of course.

A lot of people are out of their depth with this kind of abstract analysis. I will know whether you are out of your depth or not, if and when you respond to this explanation I'm giving here. Over to you.

Sliding a strawman I see, I said that inductive arguments are not the layout of mathematical proofs.

lfPatriotGames

I dont understand. If it can be proven, why hasn't anyone ever done it? Does a mathematical proof not count as proof? Just tell the son that if can prove it he'll be world famous.

MARattigan
Optimissed wrote:

... As for maths, that is meaningless to a lot of people, including me unless I try very hard to remember my university maths, which I see no need to do. Using it is pretentious as well as silly, unless you are talking to other mathematicians. Pretentious + silly = not very bright.

I suppose it's that age thing again. You've already forgotten that it was you who introduced the subject of mathematics:

"But I have no doubt that it is translatable to a mathematical proof that depends on known regularities of exponential series." (post #2549)

You don't appear to have realised that the reponses were intended as gentle hints that you were being pretentious and silly.

Prometheus_Fuschs
lfPatriotGames escribió:

I dont understand. If it can be proven, why hasn't anyone ever done it? Does a mathematical proof not count as proof? Just tell the son that if can prove it he'll be world famous.

It could be that the proof is far too complicated or outright large to create it. Also, who said that mathematical proofs don't count as proofs?

ponz111

Fixed  your post about "best play" is one reason I try to avoid using the term--it is a quite subjective term. 

lfPatriotGames
Prometheus_Fuschs wrote:
lfPatriotGames escribió:

I dont understand. If it can be proven, why hasn't anyone ever done it? Does a mathematical proof not count as proof? Just tell the son that if can prove it he'll be world famous.

It could be that the proof is far too complicated or outright large to create it. Also, who said that mathematical proofs don't count as proofs?

Nobody said they dont count, I was just asking if it counts because Optimissed seems to be saying there is a mathematical proof (which I dont even know what that is) which can prove chess is a draw. Just wondering, if it's as easy as he makes it sound, why it hasn't been done yet.

lfPatriotGames
Aizen89 wrote:

I pray it is a draw with best play.  Otherwise, what's the point in playing if we ever find out the optimal move order that will let one side win no matter what?  It would devolve solely to an exercise of remembering the win, giving the other side no chance at a win or draw unless the "winning" side messes up.  

I dont think it would work like that. If there is a forced win for one side, by the time you get to the 15th move or so all someone would have to do is make a different move to throw the other person off. It seems like it would be too much for a human to remember all the possible deviations that could spring up. 

MARattigan
lfPatriotGames wrote:
Prometheus_Fuschs wrote:
lfPatriotGames escribió:

I dont understand. If it can be proven, why hasn't anyone ever done it? Does a mathematical proof not count as proof? Just tell the son that if can prove it he'll be world famous.

It could be that the proof is far too complicated or outright large to create it. Also, who said that mathematical proofs don't count as proofs?

Nobody said they dont count, I was just asking if it counts because Optimissed seems to be saying there is a mathematical proof (which I dont even know what that is) which can prove chess is a draw. Just wondering, if it's as easy as he makes it sound, why it hasn't been done yet.

Don't worry. His son will probably do it at weekend.

Prometheus_Fuschs
lfPatriotGames escribió:
Prometheus_Fuschs wrote:
lfPatriotGames escribió:

I dont understand. If it can be proven, why hasn't anyone ever done it? Does a mathematical proof not count as proof? Just tell the son that if can prove it he'll be world famous.

It could be that the proof is far too complicated or outright large to create it. Also, who said that mathematical proofs don't count as proofs?

Nobody said they dont count, I was just asking if it counts because Optimissed seems to be saying there is a mathematical proof (which I dont even know what that is) which can prove chess is a draw. Just wondering, if it's as easy as he makes it sound, why it hasn't been done yet.

Oh, I see. Well in math you can prove something without a particular example of the result, it is actually not that rare especially when you deal with very complicated objects/transformations, for example, you can turn a sphere inside out provided you don't tear and bend sharply the material of the sphere and that the material is completely flexible and can go through itself. After the discovery, it took seven years before anybody could tell you how to actually do this and mind you, the transformation is complicated.

If you are interested, watch this:

 

 

ponz111

The answer to the main  question is "Yes, chess is a draw with best play by both sides."

Also, "There is no way to force a win from the opening position."

In chess "having an advantage" usually means having the better practical chances. Sometimes the term is used [somewhat incorrectly] as having a winning advantage. 

 

lfPatriotGames
ponz111 wrote:

The answer to the main  question is "Yes, chess is a draw with best play by both sides."

Also, "There is no way to force a win from the opening position."

In chess "having an advantage" usually means having the better practical chances. Sometimes the term is used [somewhat incorrectly] as having a winning advantage. 

 

You are right, that is an answer. But there is another answer too, and that is "No, chess is a forced win for one side with best play from both sides." Both are answers, and both rely on opinion. The real answer is nobody knows for sure because "best play" by both sides has never been achieved before. Even computers are still improving. So "best play" when this topic was created is no longer best play anymore. Any opinion on what "best play" is today will be replaced by what best play is months and years from now.

ponz111

Sorry but chess will not be 'solved" in a few decades. It is too complex.

However there is much evidence  that it is a draw and virtually all grand m,asters agree and I who have played against current grand masters only 4 games but won all 4 believe there is a ton of evidence that chess is a draw.

 

Just as in checkers there was a ton of evidence it was a draw and it is far less complex than chess and was solved as a draw.

 

Sure, a low rated player can claim otherwise but then that person is ignoring the evidence or does not understand the evidence.

lfPatriotGames
ponz111 wrote:

Sorry but chess will not be 'solved" in a few decades. It is too complex.

However there is much evidence  that it is a draw and virtually all grand m,asters agree and I who have played against current grand masters only 4 games but won all 4 believe there is a ton of evidence that chess is a draw.

 

Just as in checkers there was a ton of evidence it was a draw and it is far less complex than chess and was solved as a draw.

 

Sure, a low rated player can claim otherwise but then that person is ignoring the evidence or does not understand the evidence.

If or when chess is solved will probably have nothing to do with how experienced someone is playing chess. It will probably be solved by someone who knows computers, not chess. It's irrelevant what a grandmaster thinks about solving chess because computers are so very advanced beyond what grandmasters are capable of. The very best computer will beat a grandmaster just as easily as it will beat you or me. We are all beginners by comparison.  Chess might be a draw, and it might be a forced win for one side. It's far too early to tell because there is so much improvement to be made. I guess it's fun to speculate though. 

Ziryab

Chess will not be solved with computers, unless those developing quantum computing apply themselves to the problem, and storage media with the capabilities of DNA are utilized (see https://www.scientificamerican.com/article/dna-data-storage-is-closer-than-you-think/).

This could easily be accomplished within the next few years.

ArgoNavis

With best play from both sides, chess is boredom.

Prometheus_Fuschs

I doubt chess will be solved in my lifespan but I'm no futurologist.