Absent some sort of mathematical proof or an examination of the universe of chess games, we cannot definitively conclude chess is a draw.
Neither exists so we don’t know, and possibly can never know.
That is the simple irrefutable fact.
Mathematicians would call it the “Chess is a Draw Conjecture.” To them, a conjecture is something that has preliminary supporting evidence
...making The Fonz right, right ?
I could only read some of the last couple pages. Three things I know for sure. One, talking about probability and statistics is boring beyond words. Two, Optimissed says it in a way that's much more likeable. Three, Nikki says what's true.
I think that Wisconsin hedgehogs are smarter than those where you are. They can probably handle the machinery.
i dont really like Fonzies approach. he seemsta be basing it purely on empiricism (hes like 147) and excluding theory. which to me is kinda hillbilly. butt (and hes kinda one & he knows it), he is not being proven wrong cuz the empirical avenue has always been very strong evidence ! its s/t we cannot argue with, right ? right now, chessed is a draw until proven theoretically o/w. will it ?...trust me a wooden-clad case will be made as towers get stronger. butt (lol !) the fonz is the fonz and he is Thee Tower right now.
caveat: im respectful of STEM theory but i make my decisions using it as combined with primary practical reasoning (like teezing ponz). and in my tiny mind & on my tiny island ?...practice leads & theory supports (actually s/t's theory doesnt even come in).
...and thats all i hafta say to you. goodbye.
@NikkiLikeChikki
The simple, irrefutable fact is that a proper, mathematical proof of the Chess is a Draw Conjecture will possibly never be performed.
That's all and in the meantime, we can believe what we wish. Are we agreed?
Thanks for agreeing that there's no solution and that Ponz cannot make this claim. It's an opinion, without proof.
Look, this is silly. You and btickler are claiming to be intelligent. btickler obviously isn't but I thought you were, but just a mite confused. If you can't follow a simple explanation, what's the point?
The dart hits the dartboard and so the probability of that is unity. If you claim that there are infinite points on the board that it may hit then the probability of it hitting one of them is unity divided by infinity and clearly it cannot be zero, because zero is a real concept, relating to an identifiable situation, such as "there are no pennies in my piggybank". But the analogy with the dartboard is "there are no brain cells in btickler's head", meaning hardly any at all.
It is clear that you know nothing about mathematics and there is nothing wrong with that. You have to be careful when using infinity in mathematics. The probability of hitting a point in that example is indeed zero. However you cannot use that to reason that the probability of hitting the board is zero, because the addition law for probabilities cannot be used since the number of points on the board is not countable. Also you can find a good explanation of impossible events here: https://www.statlect.com/glossary/impossible-event
Yes, there are different types of infinity. So it is a bad idea to use it like a number. Let's say that A(n) and B(n) go to infinity as n goes to infinity. Then A(n)/B(n) isn't necessarily one as n goes to infinity. You can find examples that A(n)/B(n) goes to infinity or zero.
I believe from 62 years of playing chess and thousands of my own games that chess is a draw unless one side or the other makes a mistake...
"Chess without mistakes is nothing." ~ K. Richter