Chess will never be solved, here's why

Suppose transposition reduces the effective branching factor to merely 2 (this is unrealistic without rejecting moves based on zero ply evaluation, but let's just pretend), then your 10^17 positions will be reached in a mere 56 moves. Top engine games using a tablebase typically take longer than this to resolve.

In truth, it's much worse than this, because the effective branching factor is much higher once you DON'T ignore any of the opponent's moves on the basis of a zero ply evaluation.

1. I didn't spell "infinite".

2. There are infinitely more infinities than natural numbers if you want there to be.

3. "There are only 1" is a contradiction in terms.

This is an expression of your ignorance. The style and the thinking it reveals is inferior to the way mathematicians think and reason, and how they are motivated.

You won't find a competent mathematician who would agree with you, and you can be sure many of them are a LOT more intelligent than you.

Yes, we can say that it can never be solved but if you play Coc mod unlimited everything then you are going to enjoy more. You can download it here : https://clashofclansproapk.com/

You think anyone that doesn't agree with you is a fool...it's your primary character trait, in fact. Examples litter these 500+ pages. Contemptible, yes, but you are also pitiable...you've been like this for 50+ years and nobody has shown you the way out.

How exactly would anyone be able to say that I hide behind anyone? Demonstrably the opposite. So, in your delusional world, I hide behind other posters, but somehow *am* also the other posters in secret, all while being the servant of another, who hides behind me...perhaps you can keep extending this into a circle, like Ouroboros eating its own tail.

This is only valid if you think it is "practical" to be able to infer every single possible falsehood by simple deduction. THAT is the price of assuming a falsehood, which is why it is a really bad idea.

This is very wrong, and I can give you a real life practical example.

The number off Odd numbers are infinite, the number of Even numbers are infinite, and they are the same sice of infinite. However the number of all the odd numbers + all the Even numbers are also the same infinite. This is called countable infinity. Ie start by making two lists. 1 (Odd) then two (Even) and you Will see that these two lists both are equaly Long.

However, make two new lists. On one list all the natural numbers (1, 2, 3) etc. On the other writa all the rational numbers. (1, 1.1, 1.01, 1.001) ypu Will now have to cont til infinity before you reach 2. So one list Will be longer than the other.

The practical eexcample comes from computer science. A computer can always (if given enought time) solve any problem that takes a countable infinity amount of time to solve. However, a computer can never (Even with infinite amount of time) solve a problem that takes a uncountable infinity amount of time to solve.

You are incorrect: the RATIONAL numbers are countable. It's the IRRATIONAL numbers that are uncountable (i.e. a larger infinity). Did you mean to say "irrational" rather than rational?

Just because one way to count the rationals does not work, that does not mean another does not.

Here is a hint how to count the rationals and show they have the same cardinality as the natural numbers. The basic trick is to order them by the sum of the absolute values of their numerator and denominator. There are only a finite number of rational numbers with a given such sum.

Note that it only does all the positive rationals, but you will be easily able to extend it to rationals with both signs (by alternating between the two sets)!

"My infinity" here is aleph-null, the cardinality of the natural numbers, the smallest infinite cardinal number.

No, @Optimissed you may think I think that 0/0 is 1 but I have never given the slightest reason to believe so.

While "infinity" is not a single entity of any type, mathematicians generalise the notion of finite number in multiple ways. One of these ways is the notion of cardinal number, the size of a set.

There are infinite sets (an example is the set of all whole numbers), and the sizes of these sets are infinite (cardinal) numbers.

Incidentally, this makes sense because the definition of two sets "being the same size" is an equivalence relation.

I never Said you count all the Even numbers first. The whole point is that you alternate. First one odd, then one Even.

Also, we both agree that the rational numbers is countable. I tried to dumb Down my example. But the graph you showed is actual a proof for Cantor.

So you have that list of rationale number. Pi is not on that list, the square root of two is not on that list.

So you have your infinite Long list. And I have your list + pi. Now we have two infinite Long lists, but my list is longer then yours.

Bear in mind, you are a guy who sells and trades knick-knacks and believes he can alter reality with his mind. A great horde of people could readily prove themselves your equal...

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?quote_id=46442340&page=42#comment-46442340

"I was a logical positivist until I was about 18 or 19. Then a girlfriend got me to open my mind a bit. The results were startling. Runs of luck are real and tied in with our mental states."

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?page=43#comment-46452868

"But I used to be able to see through solid objects. I'm not even joking. I probably could do it still. I can make people better by thinking. A long while ago I was shown a series of paranormal abilities, one after the other. Each one I repressed one after the other. That was instinctive. The final one was to see the truth.That's why a lot of people find fault with me and ignore me."

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?page=43#comment-46456070

"I was what is termed a "special" child. My memory goes back to six months old. Sometimes I even think I can remember being Christened, just about. I was a childhood prodigy ..... educational psychologist made special trips to look at me. I was also extremely messed up but that's another story. My IQ is between 160 and 170. Probably nearer 170 and higher on a good day. I had a photographic memory.So I tended to think whatever I said was right. I was used to people being so much less intellectually able than me that it was like living in a very unrealistic environment. I was a logical positivist.

When I was 18 I met a beautiful, fantastic 17 year old girl. She could cook well, loved going for walks, made her own clothes, intellectually brilliant and a natural athelete. Always won Victrix Lodorum at her school and never trained. She felt sorry for the others who trained like mad and still got beaten in the high jump, long jump and 100 metres sprint. We're still friends. We used to have enormous arguments. She was into the idea of magic. I thought it was stupid. Eventually she asked me just to open my mind to it. To deliberately accept that it was possible I had been wrong. In a few days I realised I'd been wrong."

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?page=85#comment-48033212

"Regarding the 12 senses, it's always been an idea of mine, shared by others. We have six physical senses, so double up and the second set is .... well, I'll leave you to figure it out based on anything you might know about me."

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?page=108#comment-49143598

"Let me bore you with a little about me. I started a Facebook account circa 2003 or 4 and got into debating. I was interested in varied subjects. At one time, unasked for, I was being called "the best debater in English on Facebook". Naturally, there were several hundred people who tried to "win" arguments with me. It was like being a fast gun in the West. Tedious.In my one previous incarnation here on Chess.com, several years before this one, I met up with Elroch and in those days he was such an obvious troll that I spent an hour investigating him. I found out his name, his job and the name of the village near Cambridge he lived in. Just in case. It's as well to be aware of who some people are.

There are trolls and trolls and some of them are intelligent and subtle. Most people are no match for them at all. His thing is "control". That's all .... control and selling his self-image of the perfect intellect."

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?page=122#comment-49453810

"I'm the only person who is stating this clearly. Elroch is very clever and he understands it but makes it too complex. Sign of a cluttered mind. There's nothing in my mind." <-- my favorite Optimissed quote of all time...

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?page=141#comment-50270720

"I would try to change the outcome of tomorrow, by thought, basically. I can direct my thoughts towards people and heal them. I've been able to do it all my life. By thinking calming thought full of quiet energy it is possible to sort out someone's bodily functions so they work better and don't cause them distress. At another point in my life I could see through solid objects and see auras and, well, you name it, but I rejected all these things to some extent because seeing truth .... seeing what is .... is perhaps the most important ability that exists. To some extent I can influence situations in the world too so I would hope I could influence THAT situation for the better!"

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?page=142#comment-50335966

"I definitely could have proved it in any situation when I was in my 20s and 30s because I could do all sorts of tricks on demand at that time and was very powerful. However, it comes at a cost. One cost is energy depletion, although that isn't significant when you're young. Another is that it opens you up to negative things. I don't mean to "bad vibes" so much as other people's illnesses and so on. I'm not sure about that but it's what I think. Therefore only do it every now and then for pleasure and don't ever get coerced into proving it unless it's decided it's worthwhile, so I would need to have respect for those I was trying to convince. No point trying to convince anyone you don't respect about anything unless it's a sort of life/death situation. Facebook, for instance, is full of people who ask for proofs on all sorts of things and it's best to make it clear that no proof is involved because opinion is sufficient for the purposes of informal discussion.

What I am talking about and MustangMate is talking about and Axelson evidently knows something about is known to exist but, of course, to those who know it exists! People are already using it to try to heal the world and have been for centuries.

You say "convince demanding people" but these are the very LAST people who should be made aware of what we're discussing. In their hands it would inevitably turn into a very dark grey kind of magic. In order to get more power they would engage in all sorts of weird and archaic rituals like sacrificing experts in statistics on stone altars with flint knives. I'm sure that kind of thing is only attempted by people whose abilities are extremely weak and unfocussed."

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?page=142#comment-50336084

"At the time, when these psi effects were being revealed to me, I asked myself, "why me?" and the only conclusion I could reach is that there was a reason that I should be aware of these things. And it may be that the reason is coming to fruition, nearly 50 years later because this is the first time I've written in any detail about this for years and it seems to me that I now have awareness and clarity about how to express it. It is something that should be known about but only by the right people and, as the wrong people will inevitably dismiss it as bunkum, it would seem that this is the way to go. Softly softly."

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?page=143#comment-50357270

"But when you are with someone who is in pain and you deliberately focus calming and healing thoughts on them and their pain stops and they become calm and able to breathe almost immediately, but they hadn't even known you were there maybe because you were behind them, and this happened over and over, time and time again, wouldn't it be insane to fall prey to the "attribution bias" that would have it that it's just a coincidence?"

https://www.chess.com/forum/view/general/is-there-such-thing-as-quotluckquot-in-chess2?page=180#comment-70492359

When I was 10, as well as being measured off the scale in an IQ test and being very good looking, I was a mental arithmetic prodigy. Habitually scored near 100% in mental long multiplication and division but I probably hardly ever scored 100%. I wasn't perfect at mental arithmetic and chance errors creep in when you're doing it against time, in front, basically, of an audience of 50, which was the class size.

https://www.chess.com/forum/view/general/is-there-such-thing-as-quotluckquot-in-chess2?page=180#comment-70492875

I believe I taught myself to do two mental processes simultaneously. I was doing it visually, actually, because I taught myself to write long numbers down in my mind in different coloured chalk and then I could turn my attention to something else, and then red off the number. Then I could symbolically rub it out and it was gone. Mental arithmetic was like being a trapeze artist, because in real time, mental processes seemed like geometric patterns in my mind and some of the processes were not fully concious.

It's really very interesting. I very rarely made mistakes but they could occur because, as I pointed out, no-one's mental control is perfect, even if it's close to it

On my 25th birthday, when I climbed an over 15000 foot snowpeak by myself, in thick mist, so much of the time you couldn't see two yards ahead, without a map or compass and obviously without a phone, which hadn't been invented, I got back safely because then I still had a photographic memory and I could remember more or less every step I took between the conical summit and the footpath over the mountain pass a couple of thousand feet below. But it doesn't mean I wasn't taking an enormous risk, all the same.

https://www.chess.com/forum/view/general/is-there-such-thing-as-quotluckquot-in-chess2?page=183#comment-70500573

15 years ago I got up early, out all day, drove 340 miles including a lot of non-motorway, did a bit of physical work, walked two or three miles, had a bite to eat and drove the 15 miles to one of the chess clubs I played for. I only just managed to hold the game together and mine was the last to finish. Our team needed a win. I remember people looking at me because they know what a day I'd had. I managed to hold my mind together and won. Willpower. Now, I don't think I coud do it. After a certain limit which varies according to who you are and your mental stamina, you can't think coherently enough to avoid mistakes in chess, in a difficult position. It becomes impossible. You could maybe do other things ok.

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist?page=200#comment-73103697

I once had my Tarot read. I would say, around 1976 or 7. Apparently, I have quite an unusual conjunction of planets. The person concerned was fairly accurate about me but I'm not interested in it, unlike my late brother, who was actually a World authority on the Tarot. He wrote a book on it, but the publishers went bust before it was published. Perhaps he was just unlucky. He was offered a recording contract by the Beatles and turned it down. Oh well.

https://www.chess.com/forum/view/off-topic/does-true-randomness-actually-exist-1?page=137#comment-84558317

But I do have a collection of Nazi propaganda. I like stuff like that.

https://www.chess.com/forum/view/general/socialism-on-chess-com?page=61#comment-84842173

That IS interesting. I did quite a few experiments on myself in that way. Cycling long distances stoned, playing chess stoned, many other things. Rock climbing on LSD was quite interesting. In general I found the THC effect to be VERY good for concentration but if the concentration was broken it was hard to get it back and you tended to move on to another frame of mind or another thing. LSD was unpredictable and I was catatonic a few times. The latter was discontinued after one year's experimentation. I decided LSD might harm the immune system. Don't know if that's true or not. That was around 1972 to 1973. My wife just came back after an evening out. I'll ask her about rats and mazes and if they played a part in her psychology degree.

https://www.chess.com/forum/view/off-topic/human-rights-are-not-non-negotiable-84930249?page=10#comment-85115745

You've said similar before. I'm in a care home you twerp. My wife's a registered mental nurse with an MSc in psychology and she's a practising psychotherapist.

https://www.chess.com/forum/view/off-topic/the-science-of-evolution-no-politics-or-religion?page=2159#comment-86493009

I only have a decent B.A. hons in philosophy, but I pursued the subject further, in among buying and selling antiquarian books and so forth. Officially, given my start in life, I'm a failure. However, quite a happy and fulfilled failure and it's nice to see my son in engineering. It really boils down to him sitting in front of three computer screens and managing a team of data scientists, which I wouldn't like but he's ok with it and, I think, very good at it. I should probably have gone in for metallurgy rather than mechanical engineering because I think that would have inspired me more, academically speaking. I'm afraid I just hated thermodynamics. I was good at the practical experiments and things like materials science.

https://www.chess.com/forum/view/off-topic/the-science-of-evolution-no-politics-or-religion?page=2266#comment-95509181

My wife thinks I'm low-functioning autistic.

https://www.chess.com/forum/view/off-topic/the-science-of-evolution-no-politics-or-religion?page=2267#comment-95509773

Do you mean about the low-functioning autism? I think I had strong, autistic tendencies when I was aged around nine or ten. Someone commented that I was developing compulsive behaviour and I immediately adjusted my behavior and became normal, really just by a subjective decision.

https://www.chess.com/forum/view/off-topic/climate-change-cooling-crisis-no-politics-nor-religion-nor-personal-attacks?page=65#comment-96409175

I taught myself to control my own thoughts when I was 24 to 25 and it was extremely difficult. Our thoughts lead us to what happens in our lives. If you can't control negative thoughts, negative things will happen too much. There are always some accidental setbacks.

I could always control my thoughts in a positive way and taught myself that when I was 9 but always struggled wih strongly negative thoughts until I was in my late teens. Then I started to gradually take control and balance myself. On the way I learned that I had very strong psi ability. That was scary because I had to very quickly come to terms with the fact that I could kill myself and maybe others if I thought "wrongly", because I had such a powerful psi affect.

I just invented that phrase, psi affect. At least I think I just did. I know you don't believe that sort of stuff. A lot of people who reject it most strongly are those who would be very powerful. I was obviously like that. Aged 14 I thought the same as you, Elroch or Dio regarding that side of things. Hope that helps.

https://www.chess.com/forum/view/off-topic/climate-change-cooling-crisis-no-politics-nor-religion-nor-personal-attacks?page=65#comment-96409819

At 6 I would say no. But people were saying I was learning fast and obviously to others had an IQ well over 150, based on the age qotient thing. I pretty much accelerated wildly at the age of about nine and ten in that sense. Then along came real life at a Grammar School and I actually started failing some exams on purpose, for reasons I'll keep to myself. By 17 I was more interested in playing football than in anything else in the World. I knew that when I got interested in girls that would take over and I deliberately kept clear of them until I was 17. That's a bit like knowing everything.

https://www.chess.com/forum/view/off-topic/climate-change-cooling-crisis-no-politics-nor-religion-nor-personal-attacks?page=68#comment-96432733

Casting my mind back, I did write something about having to be very careful with the way I thought. You see, some people follow spiritual masters. I've known quite a few who do that and you probably know some too but I don't think they're going to get very far very soon. That's alright because they're patient. A lot of them think they have lots of reincarnations to progress "spiritually" or whatever you want to call it. Very often, all they're doing is finding some kind of master who offers them peace of mind. Jesus is of course like that, or the image or idea of the Son of God etc. Both for spiritual progress via making promises which are essentially to oneself and for peace of mind and belief in redemption if you fail when genuinely doing your best. I'm not religious but I decided I needed to readjust and I decided to use the most powerful tool to do that, so I went to India in 1975 and was away seven and a half months. Not to find anyone in particular but I always enjoyed travelling and I thought a culture shock would do something. I was used to travelling to places like Turkey. There's no real culture shock in Islamic countries and basically I very much like those countries and the people in them. But off the beaten track in India, there is a significant culture shock. I was in Bombay for 24 hours. Maybe one of the most intense 24 hours in my entire life. By a complete fluke it was the most important day for a decade or so because of a coincidence of religious ceremonies. There might have been a million Hindu visitors to Bombay and coming from the countryside to the big city was amazing in itself. Lucky for me there was a hostel that catered only to foreigners and I stayed one night. I walked from V.T. to the Gateway of India and back. The streets were thronging. I probably came face to face with 100,000 people.

Pulling yourself up by your own bootstraps and gaining that kind of mental power or control in a very short time is exceedingly difficult. Spiritual masters uniformly advise against it because it's so dangerous. Not just to a person's sanity either. I never really followed anyone like that but I instinctively worked it out. I used what might have been the most dangerous mental tool of them all, which very many times will have led to the death of the person involved. I am very thankful that I managed it without any harm, successfully.

So I wasn't talking about black magic. That was in your mind alone and you can rest assured that even if I knew what it was, I wouldn't use it. I believe in a path of goodness and charity but even so, where people are potentially doing harm, sometimes intervention is best. But you're only in danger from yourself if you stick to the course you're on.

https://www.chess.com/forum/view/off-topic/climate-change-cooling-crisis-no-politics-nor-religion-nor-personal-attacks?page=76#comment-96467201

I have an IQ of 170 but on a bad day I might score 120. My wife was measured by Mensa at either 156 or 158. She can't remember which. My dad's IQ was measured by the British army in 1943 or 44 at 171. He was friends with the Sergeant who tested them and he told him his result. I know he was very bright because at 91, dying of cancer, he could do the hardest levels of Sudoku in 20 minutes or so. So it's just the truth. The thing is, I caught Dio out in some things. I don't like his dishonesty.

https://www.chess.com/forum/view/off-topic/climate-change-huge-hoax-2-strictly-no-personal-attacks-religion-or-politics?page=18#comment-97213747

I'll say this: it isn't necessarily a rationalisation of an unpleasant necessity. I know this because, basically, I did very little work until I was 27, so I really did have something to compare it with. Up to 25 I preferred to develop myself and travel, earning just enough to accomplish that. Then, I really wanted to work and I will say that I enjoyed it thoroughly and even the unpleasant parts turned out to be an accomplishment and a means to self-discipline, which is essential. Part of the learning process was that I enjoyed it more if I was working for myself. Money has never been my first priority but these days, what I do seems to be rewarding in that way, provided I just keep on going. But I have time to play chess, talk to you lot, take quite a lot of physical excercise and still enjoy myself. So you don't have to be working at your age but if you think money is going to be of the first importance to you in the future, you need to settle on a way to make it and don't think that you'll be happy driving a truck for years and years and years. You might be but it's an unhealthy and therefore a relatively short life, doing that.

Oh and I had migraines when I was about 23. I managed to discover for myself and perfect methods of mental relaxation which completely stopped it. Migraine happens when you're doing something wrong. Remember that your brain is a bodily organ like any other and learn to relax it. That isn't easy, btw. But you can learn if you need to learn.

I think he knows that.... But solving chess is also theoretical so I don't see the issue

Your just being a nerk

Not always ... Technically the universe grows in infinitly but not at infinite speed

Trash talk lessons 101 infinite peice of cake

I did think I saw him call unintelligent

You either lie or blunder a lot (I can't tell which). I have never said @tygxc was "stupid". I have pointed out that he was repetitively wrong in the same way (like yourself, come to think about it).

What does that Even mean?

We agree your graph (list) containe all rational numbers and that is infinite.

We agree that if we list all Even and odd numbers they Will match up to 1:1 ratio. Odd number one = 1 Even number one =2, odd number two = 3, Even number two = 4

This mean there are equaly many odd numbers as there are Even numbers.

So we do the same with your list. Your number one = 1/1, your number two = 2/1, your number three = 1/2 and so on just as your graph showed.

on the other list we write the same, but we add the real numbers like pi.

At some point both our lists Will reach number 3,14, and we can continue until we reach 3.15.

At that point there is no longer a 1:1 ratio between the two lists. The list with fractions Will say x = 3,15 but since the list containg also contain pi, on that list 3,15 Will be number x+1.

Now you can not possibly deny

1) both lists are infinitly Long

2) one list is longer then the other.

Now, in this excample list two is only 1 number longer (pi), but in reality it is infinitly much longer.