Chess will never be solved, here's why


Yet another nonsense claim. Fortunately, I have never had any heart problems, I am a keen runner, which helps. I can reveal my resting heart rate was 46 for 3 consecutive days before going up to 47 yesterday. Theu lowest it has ever been is 42.
So you were lying on your thread three months ago? The thing is, I'm not sure I believe it was a lie because your behaviour is more and more that of a crazy person.
No, this is entirely imaginary. There is no such post, there never was. Not only could you not find such a post, there is no possibility that you could find anyone who would agree with you that there was.
Do try to prove me wrong - I would find that amusing.

0 x ב₁ = 0
max(0,ב₁) = ב₁
ergo
0 = ב₁
Thank you for being precise!
Of course "non-zero" is a required condition. Then the proposition is true.

@opti
I think some (all) your problems with infinite set theory is that you imagne infinite as a number. Mothers and children is just an example, but the size of the infinites comes from logic neceseties, not that we count / calculate.
One way to look at it is we are not saying anything about the size of the two lists, but the relationship between them.
Imagne there are a infinite number of siblings. Even if that is a infinite number I can say that the number of sibling relations has to be a even number. By your logic this should not be possible because the list is infinite But :
If I am sibling with you, then necesary you will have to be sibling with me. So thats 2 relations. In a group of 3 Sibelings, its 6 relations, and so forth.
There are some more relations, and by using these we can say thing about the relationships of numbers even if they are infinite
0 x ב₁ = 0
max(0,ב₁) = ב₁
ergo
0 = ב₁
Thank you for being precise!
Of course "non-zero" is a required condition. Then the proposition is true.
Indeed.
Why couldn't they have asked you to chant those tables when you were little?
One ℵ₀ is ℵ₀
Two ℵ₀s are ℵ₀
Three ℵ₀s are ℵ₀
Four ℵ₀s are ℵ₀
...
Would have been a lot easier and it wouldn't have left any time for them boring sums.

Yes. Cardinality becomes a lot clearer once you understand how it can be defined in terms of mappings. I think most people could understand the notion of a function, and the properties of such functions (injectiveness for example). But this stuff is going to be a mystery to those who have not studied the subject.

A common internet trick performed by trolls.
"Gaslighting is a form of psychological abuse or manipulation in which the abuser attempts to sow self-doubt and confusion in their victim's mind. Typically, gaslighters are seeking to gain power and control over the other person, by distorting reality and forcing them to question their own judgment and intuition."
Except it isn't going to work and you'll make yourself crazier than ever.
The fact that you've just stumbled upon the concept of gaslighting and feel like you need to tell the rest of us what this concept is just shows how out of touch with everything you really are...
I definitely remember you talking a handful of times about your theory that Elroch was unwell/stressed...but nobody else ever said boo. So, better theories...you mixed him up with somebody else and Lola is too nice to tell you that you are off your rocker, or Lola told you and she is off her rocker...
A common internet trick performed by trolls.
"Gaslighting is a form of psychological abuse or manipulation in which the abuser attempts to sow self-doubt and confusion in their victim's mind. Typically, gaslighters are seeking to gain power and control over the other person, by distorting reality and forcing them to question their own judgment and intuition."
Except it isn't going to work and you'll make yourself crazier than ever.
The fact that you've just stumbled upon the concept of gaslighting and feel like you need to tell the rest of us what this concept is just shows how out of touch with everything you really are...
Dang it I reminded him of the word when I said it earlier ...

In a stage-drama I would let Elroch play the male part, and Optimissed the female one. It all ends in a scene where they get married in a church. LoL
#11232 #11233
Hardly a new concept, Charles Boyer and Ingrid Bergman made the film in 1944 and Sammy Kaye cut a disc in 1946.
@11148
"10^38 is already a faulty reduction from 10^44, as Tromp also pointed out to you."
++ Yes, Tromp conjectured only 1 in 10^6 would be sensible, which would leave 10^32.
I have only checked the 10,000 sample, so I stay with 10^34 on the conservative side.
The 10^38 is based on Gourion
Meanwhile after all trolling about Cantor and other off topic:
The 106 ICCF WC Finals games show not one, but several ways to achieve the draw.
1 d4 Nf6 2 c4 e6 (23 draws)
1 d4 Nf6 2 c4 g6 (10 draws)
1 d4 d5 2 c4 c6 (7 draws)
1 d4 d5 2 c4 dxc4 (6 draws)
1 d4 d5 2 c4 e6 (2 draws)
1 e4 e5 2 Nf3 Nc6 (14 draws)
1 e4 e5 2 Nf3 Nf6 (6 draws)
1 e4 c5 (15 draws)
1 e4 e6 (2 draws)
So even if a double error were found in a line, there are back-up lines to draw.

Meanwhile after all trolling about Cantor and other off topic:
The 106 ICCF WC Finals games show not one, but several ways to achieve the draw.
1 d4 Nf6 2 c4 e6 (23 draws)
1 d4 Nf6 2 c4 g6 (10 draws)
1 d4 d5 2 c4 c6 (7 draws)
1 d4 d5 2 c4 dxc4 (6 draws)
1 d4 d5 2 c4 e6 (2 draws)
1 e4 e5 2 Nf3 Nc6 (14 draws)
1 e4 e5 2 Nf3 Nf6 (6 draws)
1 e4 c5 (15 draws)
1 e4 e6 (2 draws)
So even if a double error were found in a line, there are back-up lines to draw.
since you have no proof for any of them you have no proof that all of them arent erred.
basic logic.

"10^38 is already a faulty reduction from 10^44, as Tromp also pointed out to you."
++ Yes, Tromp conjectured only 1 in 10^6 would be sensible, which would leave 10^32.
I have only checked the 10,000 sample, so I stay with 10^34 on the conservative side.
The 10^38 is based on Gourion
No, actually he said that your whole pursuit of "sensible" numbers was not worth pursuing:
https://www.chess.com/forum/view/general/on-the-number-of-chess-positions?page=6#comment-64122117
https://www.chess.com/forum/view/general/on-the-number-of-chess-positions?page=6#comment-64144999

The ostrich dance, often seen in African cultures, symbolizes strength, agility, and unity. It mimics the movements of the ostrich, embodying its grace and power.
This dance is not only a celebration of the ostrich's traits but also a communal activity that reinforces cultural identity and togetherness.
@11239
"proof that all of them arent erred"
++ You have no indication that all 106 games would contain 2 errors that cancel each other.
The plausible explanation of the observed fact of 106 draws is 106 games with 0 error.
It could be that 105 games have 0 error and one game has 2 errors.
In that case there is not one, but several back-up lines that draw.

" You have no indication that all 106 games would contain 2 errors that cancel each other"
and you have no indication that any of them dont have errors.
there doesnt have to be indication on my end, thats what proof means. dude this is like 6th grade logic bro.