I think you're just describing normal, experimental error. There's no reason to assume that a way is going to be found to eliminate it and when we describe something as "proven" it really can be via the pragmatic method.
There is a difference, though. We can scientifically prove which is the accuracy of the devices used to measure physical quantities, and we have a variety of statistical tools to analyze samples. So, roughly speaking, when we measure a phenomenon we can assume that the mean of the sampled data is the "real" value of the physical quantity we are measuring, within a confidence interval. In our case, I don't think we can say that the outcome we more often observe, is the best that actually can be forced.
For this reasons it becomes more and more difficult to overcome an opponent of the same strength, but that does not mean that the game value is a draw. I think that if the increasing drawing rate depended on the game-theoretic value, we should not see the playing strength and ratings of the top engines increase at the current rate.
I don't follow that so it must be a piece of inductive thinking. It doesn't seem safe or relevant.
Of course, it's not safe (in fact I said "I think")! I wrote that, because @tygxc claims his explanations for the observed data are the only possible ones. I just think that other explanations are more plausible, but equally not sufficient for a proof.
Hi, half the time, we seem to be arguing about practical or pragmatic ideas that are based on evidence only and the other half, about non-evidence-based ideas. The problem with a "mathematical proof" or a "deductive proof" is that they have to be based on incontrovertible propositions. That seems to be entirely impossible, however, for reasons that have been gone into fairly thoroughly and which are accepted by everyone other than tygxc EXCEPT that he may really be prioritising, in hs mind, pragmatic ideas, which I also do because evidence based ideas are all we have and they lead us to be fairly sure that:
(1) Chess is drawn with "best play" or with "no mistakes", as playerafar suggests, since we can retrospectively define "no mistakes" as "any play which changes the balance of play, leading to a worse result than was previously obtainable" .... or something like that.
(2) Chess won't be solved in five years because we haven't the tools to achieve it. If anything, that's the firmer proposition of the two and number (1) seems 100%.
It seems to me that we can analyse the accuracy of measuring equipment to our hearts' content but we cannot be sure, in any complex undertaking, that we aren't missing a hidden variable, which could come into play in a manner we do not foresee. Hence all science is pragmatic and experimantally based, and "science" isn't the theory, which is then developed to attempt to give the best possible explanation of what is actually going on.
#3221
1 g4 might lose by force.
#3223
There are many Mr Boastalot here on this forum, but none has the scientific (MSc. Eng., almost PhD. Eng.) and chess credentials (GM, World Champion 65+, author of theory books) of Sveshnikov.