I just think that’s a strange criteria for which to deem a game “perfect.” But if that’s where you’ve been going with us the whole time, I don’t disagree with you.
My first foray into this topic I started off by not using this definition of perfect.
You politely informed me that only two real evaluations exist (I agreed) and if it never changes the whole game then it's a perfect game (I agreed).
Why you suddenly want to use a different definition of perfect I don't know, but I agree that the one we've been using isn't anything like the colloquial way we talk about a perfect game.
Well, you see I’m not changing it. You would still have to establish that at no point during the game, did either side have an unfathomably long win by force that no human or current computer can find. Which we absolutely don’t know. Nor do I think we have nearly enough information to even claim it’s likely.
I gave criteria for how we can argue for likeliness.
I also challenged you to offer a counter example by using this criteria to set up a position that is not a draw using the EGTBs we currently have.
You can’t even calculate likelihood. At best you can give a guess. None of us have any idea if on move 3, 4, 5, 12, etc. there isn’t some extraordinarily long mating net that no tools can see at the present moment.
This is unlikely for logical reasons.
To claim chess is a forced win is to claim the starting position is zugzwang.
We know that the likelihood of zugzwang is e.g. proportional to the contact between the peices (both direct attacks and influencing the same empty squares) and inversly proportional to the number of legal moves available to both sides.
Maybe we could throw symmetry in there too.
We know this both through experience and with apriori logic.
never play 4.e5 on 3.Nf3