Unfortunately, the principles you are drawing on seem to be false. One shouldn't just trust anything one happens to agree with. Yes, I agree that it's reasonable to argue for either side. You use the word "ultimately". Ultimately, any attempt at argument should take into account all aspects of luck, from "a fly lands on a player's nose" type of argument to "I picked up a book at random that morning, opened it at random and proceeded to read about a line in the Blumenfeld Gambit, where black apparently imposes a difficult question upon white. Completely by chance, since I'd only ever faced the Blumenfeld about once before, the person playing black against me that afternoon proceeded to play right through that sacrificial line in the Blumenfeld".
Indeed, exactly that happened to me in a tournament. Not only did I remember the entire line, play it out and win, I was pretty confident that I wouldn't have won had I not read about that line that day. It put me among the prizes again ... part of a run where I won money prizes in ELEVEN consecutive tournaments which I played in.
Of course, you don't like anecdotal. You've mentioned it many times. Trouble is, "anecdotal" often means "evidence from personal experience". If a chemist performs 100 experiments to confirm the results of a complicated series of reactions she is investigating and they all demonstrate the same conclusion, that conclusion is still based on "anecdotal" experience, at least until it's written up and endorsed by peer review. Perhaps even after that, in fact. I've worked as a chemist in a pharma factory btw, before going into the engineering industry.
Take the principle, which you quote, which deals with "chess has no elements of chance: every position arises via deliberate moves etc etc".
That isn't the point. It should state that there are no deliberately introduced chance elements in the rules of chess (except for drawing colours at the beginning, of course). There are so many paths via which chance actually DOES creep into the game and they have been discussed so comprehensively here and in other threads on this subject that ignoring them or pretending they are immaterial is disingenuous at best. Maybe we need MORE than 15 seconds of what you are pleased to call "scrutiny", if we are actually to apply our minds to this question in any meaningful way"?
This was just a bunch of twaddle allowing you to mention your eleven tournaments in a row. I would say you're welcome, but you've proven in the past that your ability to insert grandiose self-congratulations into almost anything is not luck, it is preparation. Much like your poor anecdotal evidence.
If we confined the meaning of the word "chess" to game theory, no element of chance is included. If "chess" means the games we all play, the human element (and our inherent unpredictability) enters the equation, letting luck play a part.
and the fallibility of computers playing chess too.
Regarding 'game theory' I would think maybe over 90% of players would know little or nothing about what that phrase refers to.
Game theory as a side-topic of the thread seems legitimate.
Set theory would be too.
In each of those two subjects - there's possibilities or 'attributes' as it were.
If that's the word.
As to - is there a single unified theory on each that most experts recognize?
And - is there a lot of controversy within each of the topics?
For example perhaps each subject has 'current frontiers'.
The basics of mathematics are well established but like other subjects math keeps having new frontiers as new things are discovered.