See, this is why your logic is no good. You use false premises.
You have established no such thing.
1) You keep invoking "forfeit," when forfeit has nothing to do with it. Forfeit is not showing up to the game, or running out of time. Stalemate is one means of preventing the other side from achieving the object of the game.
Forfeit has to do with anything which fits the concept of forfeit, obviously. Even if the rules of [tournament] chess, or any other game or sport, said nothing at all about any kind of forfeit, there would still be situations which would logically be a forfeit. For example, in cases where someone doesn't show up for a game they agreed to play, it is logically a forfeit, no matter what game it is. The same applies to someone who leaves in the middle of the game, any game, and doesn't return. "Forfeit" is a ~universal concept, like the words "quit", "lose", or "win", "poor sportsmanship", "performance", "competition", and so on. The rules don't have to specifically mention such concepts in order for them to logically apply to certain situations. I could make a game and write rules which say, "If someone decides to quit during the game, he wins!" Of course, that would be illogical and absurd, and it wouldn't change the fact that the person who quit has logically forfeited the game, and thus lost.
2) "A higher score suggests a higher degree of performance." It may so suggest, but as any sports fan knows, this is not a rule. Many times the under-performing side draws or even wins.
What of it?
3) "Any situation can be assessed from a logical perspective." Go ahead and use all the "logic" you want, it doesn't mean beans if your premises are garbage, which they are.
Again, you have established no such thing. All you have established is that you're oblivious to how various fundamental/universal concepts logically apply to various situations in life. Based on this, if someone said, "That was a great performance," with regard to a chess player's gameplay, you could be expected to say something like, "'Great performance'? That term isn't specified in the rules of chess, therefore it can't possibly have anything to do with what happened here."
"Forfeit" logically applies to any situation which fits the concept, no matter what the specific game/sport/event is. Even if it is something as informal as a children's game of "tag", if a player e.g., quits in the middle of the game, he has logically forfeited the game.
So a King that is in stalemate must make an illegal move then?
No. Where did you get that idea? Certainly not from anything I typed.
Enough said.
To win a game one needs to attack the king (check). Without this, there is no win on the board.
Consider why the stalemate rule was invented.
Enough said from me.
You effectively said nothing, so, okay.
From logical perspective chess rules have no contradictions and hence there is nothing illogical.
I've already pointed out the inconsistency / lack of logic, many times now.
If we declare checkmate a draw or a loss there is no contradiction neither and nothing illogical.
In such a case it would be at odds with its own premise, so yes, it would be illogical/inconsistent.
Ever heard about Suicide Chess? It is a chess variant in which the objective of each player is to lose all of his pieces or be stalemated. Nothing illogical.
Suicide chess has a completely different premise than chess. As long as the premise is internally consistent, there is no internal logical/consistency issue. There could still be things which are at odds with fundamental/universal concepts however, which would be illogical. For example, if a rule said that if someone decides to quit the game, he wins, that would be illogical.
There exists no fundamental principle that can be used to validate rules of game.
Everything is subject to a logical assessment; everything.
Any set of arbitrary rules is fine as long as there are no contradictions within the rules. The resulting game might be no fun to play. It can be non-competitive game but there are plenty of those. From logical perspective it's all fine.
See above.
Please explain me how "elimination vs other kinds of win" applies to following sports/games: football, hockey, running, tic-tac-toe, swimming, tennis, badminton, figure skating, biathlon, sailing, skiing, sledding etc.
I said:
"The point of any competition is to defeat your opponent(s), and the ultimate form of defeat is to completely eliminate them from the game, if it can be done with a legal move/play."
Does the bolding help? In any event, an elimination-type tournament can be held for any game/sport.
"Logically, checkmate is a win."
Logic has nothing to do with it. It's the object of the game.
Any situation can be assessed from a logical perspective. And it may come as a shock to you, but something can both be the object of a game and be logical at the same time. On the other hand, something can be the object of a game and be illogical at the same time.
From logical perspective chess rules have no contradictions and hence there is nothing illogical. If we declare checkmate a draw or a loss there is no contradiction neither and nothing illogical. Ever heard about Suicide Chess? It is a chess variant in which the objective of each player is to lose all of his pieces or be stalemated. Nothing illogical. There exists no fundamental principle that can be used to validate rules of game. Any set of arbitrary rules is fine as long as there are no contradictions within the rules. The resulting game might be no fun to play. It can be non-competitive game but there are plenty of those. From logical perspective it's all fine.
*professor begins lecture* "Write this down class if a then b, and if c then d."
*MaxR confidently raises hand* "Professor that's illogical. If a then b, then it's only logical that if c then b as well!"
*professor chimes in* "the statements don't build on each other max, they are completely arbitrary.."
*max* "Professor please don't embarrass yourself. The logic is obvious. a and c are two cases of the exact same thing, a variable being true. they are only two letters apart in the alphabet, the difference is negligible. If c is true then b, not d, is the logical result."
*professor* "..."