Tag Archives: chess

A great modern artist, Duchamp becomes a great modern chess player, and returns to art.

I’d written previously about Marcel Duchamp’s early work as a founder of the Dada school of modern art, a school that aims to say nothing about anything except about itself. Duchamp hung a urinal as art and called it “fountain.” It was comic, insulting, and engaging — an inspiration for many modern arts to follow , and much bad modern art, too — the collections of string and found objects and paintings of squares or squiggles. But the story of Duchamp is interesting. In 1925, M. Duchamp gave up on art, at least this type of art and became a chess player. As with art, he was very good at it, and became the French chess champion. Now that’s an unexpected turn.

What sort of chess did Marcel Duchamp play? Modern. Very modern. While tradition chess had focussed on the center. He developed at the sides, a strategy that was called an “Indian attack”, named (I assume) after American Indians attacking a stage-coach. Instead of attacking directly, the popular image of an Indian attack is attack from the sides, or behind trees. In chess, it involves typically a “fianchettoed bishop.” Other modern chess players of the time attacked from the side too (Réti, Alekhine) but they generally worked form one side or the other with some central presence. Duchamp worked from both, often with no center.

Position after white’s 13th move

Here is a dramatic example, a position from a game with an American great, GM George Koltanowski. It’s 13 moves in, with Duchamp, is black, generally considered the weaker side. He has fianchettoed both of his bishops, and given up the center to Koltanowski. It’s Duchamp’s turn to move/ He will win in three moves.

Notice that Koltanowsi’s bishops point outward, as a cowboys guns might point, or as from a British fighting square. Meanwhile, Duchamp’s bishops point inward, with his queen -bishop almost directly at the white king. The game proceeded as follows. 13…, Nxd5 14.Nxd7, Nxf4 15.Nxf8, Bd4, 0-1..

The full game, seen here,. It might prove instructive if you want to explore in Duchamp’s footsteps. While I play traditionally, I sometimes fianchetto, and do not find it racist that such side-attacks are called “Indian attacks.” Perhaps that’s because I’m old and used to such things, or because they very often work.

Please Touch. M. Duchamp 1947
Self-portrait, M. Duchamp, 1957 (torn paper on black velvet).

As M. Duchamp’s chess skills waned, he returned to the art world, going in the opposite direction of Dali. Duchamp’s last works are small, and simple. They are still arresting but more dream-like. Dali’s works grew bigger and busier as he got older.

That Duchamp could be both a great artist and a great chess-player suggests there is such a thing as general intelligence. It’s a touchy subject, I’ve pondered on here as intelligence appears to be inheritable.

Robert Buxbaum, September 23, 2022.

Ron Weasley plays great chess, better than Voldemort.

Every now and again a book or movie includes a chess game. Generally, it’s in a story where death is on the line. It’s a literary device used to indicate high mental acumen of the people involved, particularly the one who wins. As an example, in “Sherlock Holmes, A Game of Shadows”, 2011, Holmes plays Moriarty, each calling out moves far advanced for the 1800s. It emphasizes these individuals’ super-smarts. Holmes wins at the end, of course. The Ingrid Berman film, “The Seventh Seal” is similar, with the chess game played against death himself. The knight shows himself a more-than-worth opponent. And that brings us to Ron Weasley in Harry Potter and the Sorcerer’s Stone, book 1 of the series, and movie, Ron Weasley is presented as a sort-of fool throughout the series. He’s mostly as source of background information about wizarding, but in one episode standout, he plays brilliantly with giant-size chess men against a magical intelligence, and wins. After the game, one that is described as one of the best ever, Ron goes back to being the goof-ball he was throughout. His chess skills don’t come up again, or do they. It’s a well written series, so what’s the point of including the game?

Position of pieces in Harry Potter and the Sorcerer’s stone (movie).

To see how brilliant Ron’s play is, recall that Ron is eleven years old in book 1. He, Harry, and Hermione enter a mysterious room filled with menacing statues. Ron immediately realizes it’s a chess board, and infers that they must win as black to pass through. He further infers that the piece representing Harry must make the checkmate. Two or three pieces are missing, and Ron infers that Harry’s character must replace one of these and become the mating piece. If you’ve ever played a decent computer, you know it’s very hard to win as white (in the 90s you could still win). This ghost intelligence plays quite well, and it’s almost impossible to win if you need to have a particular minor piece make the mate. In the movie, Ron plays as black and reaches the position shown with Harry as the king’s bishop and Hermione as a rook. He is down in material, but has laid a very good trap. The white queen captures the “free pawn” on d3, violently threatening the Harry-bishop. Ron interposes the rook to c3 forcing the white queen to take the rook. At this point, Ron could win by B-c5+, QxB, N-h3 mate, but that would sacrifice Harry and leave Ron as the winning piece. Both Ron and Hermione realize this, and Ron causes Harry to make the checkmate by N-h3+, QxN, B-c5+, Q-f3, BxQ mate. Ron is injured when QxN — a sacrifice in both senses of the word.

Death plays chess, painting by Albertus Pictor, 1480

It’s an impressive display of chess skill, and Dumbledore is right in saying it’s one of the best games. No normal player could manage a game like that, certainly no eleven year old. Normally such a display would be used to present Ron as the group brain, or at least as a very deep thinker. If so, why does the author have Ron revert to his care-free, stupid persona with chess never showing up.

We see that Voldemort, the arch villain, won his game too, and only lost a few pieces doing it. That Voldemort is good at chess is no surprise; it goes with his deep-thinking persona. We don’t see Voldemort’s game, but I can infer that he won via the Trailer gambit. It’s a fairly tricky win, but the only way that I know where you win as black losing only a kings bishop, a rook, and a knight, the pieces that Ron and his friends replaced. The Queen is the winning piece, though, and that’s a lot simpler than winning with a bishop. Ron’s win is far more sophisticated, a surprise given Ron’s behavior and how he is treated.

Perhaps it’s just bad writing, or an effort to show Ron is good at something, but I thought to do a quick re-read of Ron’s early appearance in book 2. Here I find that Ron is bright and motivated, but overshadowed. Early in the book, we find 12 year old Ron picking a lock using a hat pin, and driving a flying car reasonably well. We don’t think this is exceptional because his brothers do all this first, but it is exceptional: imagine tryin to drive a regular car with no instruction at 12. Later we find that Ron learns the fine points of Quidditch without native skill or a coach, just using a book, and we find that Dumbledore picks him to prefect, instead of Harry, a job he does well. Finally, we find that Hermione prefers Ron to Harry. It’s a somewhat surprising turn because she’s supposed to be the brains of the trio. How could she stand to be with Ron? Perhaps she is one of the few people who sees that Ron is bright. Dumbledore is too.

Viewed this way, the chess game becomes the first of the examples of Ron’s brainpower, and becomes an important foreshadowing to a surprise at the end of the last book/movie, to the final battle against Voldemort. In that battle, while everyone else is throwing hexes, Ron is the one who realizes that, to win the war, he must go to the basement chamber and collect basilisk teeth. It’s chess thinking: he’s focused on the king, on Voldemort, while everyone else is dealing with side threats. In a sense, it’s Ron who defeats Voldemort. The chess game is a foreshadowing, and fits with Hermione’s choice of Ron over Harry.

Robert Buxbaum, August 26, 2022. If you like chess puzzles, find some here. And in “Bill and Ted’s Bogus Journey,” 1991, the brilliance idea is sort-of reversed. Bill and Ted play against death in battleship, twister, and clue, and win. It’s used to show that death is sort of random, and sort of stupid.

Three identical strangers, and the genetics of personality

Inheritability of traits is one of the greatest of insights; it’s so significant and apparent, that one who does not accept it may safely be called a dullard. Personal variation exists, but most everyone accepts that if your parents are tall, you are likely to be tall; If they are dark, you too will likely be dark, etc., but when it comes to intelligence, or proclivities, or psychological leanings, it is more than a little impolite to acknowledge that genetics holds sway. This unwillingness is glaringly apparent in the voice-over narration of a popular movie about three identical triplets who were raised separately without knowing of one another. The movie is “Three identical strangers”, and it recounts their meeting, and their life afterwards.

Triplets, raised separately, came out near identical.

As one might expect, given my introduction, though raised separately, the three showed near identical intelligence, and near identical proclivities: two of them picked the same out-of-the way college. All of them liked the same sort of clothes and had the same taste in women. There were differences as well: one was a more outgoing, one was depressed, but in many ways, they were identical. Meanwhile, the voice-over kept saying things like, “isn’t it a shame that we never saw any results on nature/nurture from this study.” Let me clear this us: genetics applies to psychology too. It’s not all genetics, but it is at least as influential as upbringing/ nurture.

This movie also included pairs of identical twins, raised separately, they also showed strong personality similarities. It’s a finding that is well replicated in broader studies involving siblings raised separately, and unrelated adoptees raised together. Blood, it seems, is stronger than nurture. See for example the research survey paper, “Genetic Influence on Human Psychological Traits” Journal of the American Psychological Society 13-4, pp 148-151 (2004). A table from that paper appears below. Genetics plays a fairly strong role in all personal traits including intelligence, personality, self-control, mental illness, criminality, political views (even mobile phone use). The role is age-dependent, though so that intelligence (test determined) is strongly environment-dependent in 5 year olds, almost entirely genetic in 25-50 year olds. One area that is not strongly genetic, it seems, is religion.

In a sense, the only thing surprising about this result is that anyone is surprised. Genetics is accepted as crucial for all things physical, so why not mental and social. As an example of the genetic influence on sports, consider Jewish chess genius, Lazlo Polgar: he decided to prove that anyone could be great at chess, and decided to train his three daughters: he got two grand masters and an international master. By comparison, there are only 2 chess grand masters in all of Finland. Then consider that there are five all-star, baseball players named Alou, all from the same household, including the three brothers below. The household has seven pro baseball players in all.

Most people are uncomfortable with such evidence of genetic proclivity. The movie has been called “deeply disturbing” as any evidence of proclivity contradicts the promise of education: that all men are equal, blank slates at birth that can be fashioned into whatever you want through education. What we claim we want is leaders — lots of them, and we expect that education will produce equal ratios of woman and men, black and white and Hispanic, etc. and we expect to be able to get there without testing for skills, — especially without blind testing. I notice that the great universities have moved to have testing optional, instead relying on interviews and related measures of leadership. I think this is nonsense, but then I don’t run Harvard. As a professor, I’ve found that some kids have an aptitude and a burning interest, and others do not. You can tell a lot by testing, but the folks who run the universities disagree.

The All star Alou brothers share an outfield.

University heads claim that blind testing is racist. They find that some races score poorly on spacial sense, for example, or vocabulary suggesting that the tests are to blame. There is some truth to these concerns, but I find that the lack of blind testing is more racist. Once the test is eliminated, academia finds a way to elevate their friends, and the progeny of the powerful.

The variety of proclivities plays into an observation that you can be super intelligent in one area, and super stupid in others. That was the humor of some TV shows: “Big Bang Theory” and “Fraser”. That was also the tragedy of Bobby Fischer. He was brilliant in chess (and the child of brilliant parents), but was a blithering idiot in all other areas of life. Finland should not feel bad about their lack of great chess players. The country has produced two phone companies, two strong operating systems, and the all time top sniper.

Robert Buxbaum, May 15, 2022

Difficult chess puzzles and on-line games

While I was writing my essay on the chess ratings formula, I recalled enjoying the occasional chess game, and joined Chess.com, an intern chess site with many features. In one month I have played 12 games against humans and 5 or so against the computer. It’s fun, and Chess.com gives me a rating of 1323. It’s my first rating, and though it’s probably only accurate to ±150, I find it’s nice to have some sense of where you are in the chess world. But the most fun part, I find, are the chess puzzles; see some below. At first I found them impossible, but after playing for a bit, the ideas began to resolve, and I began to solve some. There’re not impossible, just difficult, and they only take a couple of minutes each. If you guess my name, you could win a match.

White to move and win. I see it now, but didn’t originally.
White to move and mate in 2. Magnus Vs Sergey, 2016 World Championship Tiebreaker. I see it!
This is from redditt. It took me forever to see through this.
White to move and win. I see it, I think.
white to move and win in two. I see it!
white to move and mate (in one?). I see a slower mate.
Mate in 3. White to move. I see it.

Robert Buxbaum, January 22, 2021

The equation behind Tinder, J-swipe, and good chess matchups.

Near the beginning of the movie “The social network”, Zuckerberg asks his Harvard roommate, Saverin, to explain the chess rating system. His friend writes an equation on the window, Zuckerberg looks for a while, nods, and uses it as a basis for Facemash, the predecessor of Facebook. The dating site, Tinder said it used this equation to match dates, but claims to have moved on from there, somewhat. The same is likely true at J-swipe, a jewish coating site, and Christian mingle.

Scene from the social network, Saverin shows Zuckerberg the equations for the expected outcome of a chess match between players of different rankings, Ra and Rb.

I’ll explain how the original chess ranking system worked, and then why it works also for dating. If you’ve used Tinder or J-swipe, you know that they provide fairly decent matches based on a brief questionnaire and your pattern of swiping left or right on pictures of people, but it is not at all clear that your left-right swipes are treated like wins and losses in a chess game: your first pairings are with people of equal rating.

Start with the chess match equations. These were developed by Anand Elo (pronounced like hello without the h) in the 1950s, a physics professor who was the top chess player in Wisconsin at the time. Based on the fact that chess ability changes relatively slowly (usually) he chose to change a persons rating based on a logistic equation, sigmoid model of your chances of winning a given match. He set a limit to the amount your rating could change with a single game, but the equation he chose changed your rating fastest when you someone much better than you or lost to someone much weaker. Based on lots of inaccurate comparisons, the game results, you get a remarkably accurate rating of your chess ability. Also, as it happens, this chess rating also works well to match people for chess games.

The knowledge equation, an S curve that can be assumed to relate to the expected outcome of chess matchups or dating opportunities.

For each player in a chess match, we estimate the likelihood that each player will win, lose or tie based on the difference in their ratings, Ra -Rb and the sigmoid curve at left. We call these expected outcome Ea for player A, and Eb for player B where Ea = Eb = is 50% when Ra = RB. It’s seen that Ea never exceeds 1; you can never more than 100% certain about a victory. The S-graph shows several possible estimates of Ea where x= Ra-Rb, and k is a measure of how strongly we imagine this difference predicts outcome. Elo chose a value of k such that 400 points difference in rating gave the higher ranked player a 91% expectation of winning.

To adjust your rating, the outcomes of a game is given a number between 1 and 0, where 1 represents a win, 0 a loss, and 0.5 a draw. Your rating changes in proportion to the difference between this outcome and your expected chance of winning. If player A wins, his new rating, Ra’, is determined from the old rating, Ra as follows:

Ra’ = Ra + 10 (1 – Ea)

It’s seen that one game can not change your rating by any more than 10, no matter how spectacular the win, nor can your rating drop by any more than 10 if you lose. If you lose, Ra’ = Ra – 10 Ea. New chess players are given a start ranking, and are matched with other new players at first. For new players, the maximum change is increased to 24, so you can be placed in a proper cohort that much quicker. My guess is that something similar is done with new people on dating sites: a basic rating (or several), a basic rating, and a fast rating change at first that slows down later.

As best I can tell, dating apps use one or more ratings to solve a mathematical economics problem called “the stable marriage problem.” Gayle and Shapely won the Nobel prize in economics for work on this problem. The idea of the problem is to pair everyone in such a way that no couple is happier by a swap of partners. It can be shown that there is always a solution that achieves that. If there is a singe, understood ranking, one way of achieving this stable marriage pairing is by pairing best with best, 2nd with second, and thus all the way down. The folks at the bottom may not be happy with their mates, but neither is there a pair that would like to switch mates with them.

Part of this, for better or worse, is physical attractiveness. Even if the low ranked (ugly) people are not happy with the people they are matched with, they may be happy to find that these people are reasonably happy with them. Besides a rating based on attractiveness, there is a rating based on age and location; sexual orientation and religiosity. On J-swipe and Tinder, people are shown others that are similar to them in attractiveness, and similar to the target in other regards. The first people you are shown are people who have already swiped right for you. If you agree too, you agree to a date, at least via a text message. Generally, the matches are not bad, and having immediate successes provides a nice jolt of pleasure at the start.

Religious dating sites, J-swipe and Christian Mingle work to match men with women, and to match people by claimed orthodoxy to their religion. Tinder is a lot less picky: not only will they match “men looking for men” but they also find that “men looking for women” will fairly often decide to date other “men looking for women”. The results of actual, chosen pairings will then affect future proposed pairings so that a man who once dates a man will be shown more men as possible dates. In each of the characteristic rankings, when you swipe right it is taken as a win for the person in the picture, if you swipe left it’s a loss: like a game outcome of 1 or 0. If both of you agree, or don’t it’s like a tie. Your rating on the scale of religion or beauty goes up or down in proportion to the difference between the outcome and the predictions. If you date a person of the same sex, it’s likely that your religion rating drops, but what do I know?

One way or another, this system seems to work at least as well as other matchmaking systems that paired people based on age, height, and claims of interest. If anything, I think there is room for far more applications, like matching doctors to patients in a hospital based on needs, skills, and availability, or matching coaches to players.

Robert Buxbaum, December 31, 2020. In February, at the beginning of the COVID outbreak I claimed that the disease was a lot worse than thought by most, but the it would not kill 10% of the population as thought by the alarmist. The reason: most diseases follow the logistic equation, the same sigmoid.

Einstein’s fuzzy slippers — and a fetish lawyer joke

First, the joke about the fetishistic lawyer: He got off on a technicality.

It’s funny because  ….  it’s a double entendre, a multi-word, sexual homophone (no insult  to the homophone community). It also relates to a fact as true and significant as any in life. What a person considers enjoyable, fun (or not) depends mostly on what’s in his mind. Whether judging sexy or scary; pleasant or disagreeable, it has relatively little to do with a physical reality, and is mostly in the imagination of the person. As a result, the happiest people seem to be those who embrace their inner weirdness. They try to find jobs that they are good at, that allow them to take perverse pleasure in their own weird way within the bounds of a civil society.

Take pleasure in your own weirdness.

Einstein in fuzzy slippers outside of his Princeton home; take pleasure in your own weirdness.

Einstein, at left, seems to have enjoyed doing physics, playing the violin, and wearing odd clothes: sweaters, and these (pink) fuzzy slippers. the odd clothes didn’t detract from his physics, and may have even helped him think. Boris Spassky (the Russian chess champion) was asked which he preferred: sex or chess, he said: “it very much depends on the position.” Do what you like, and like what you do. As the old joke goes, “I don’t suffer from insanity: I enjoy every moment.”

Robert Buxbaum. April 1, 2014; I mostly blog about science and hydrogen, but sometimes, like here, about personal relations, or last week economics (dismal). Here’s a thermodynamic look at life. And a picture of an odd sculpture I made. I take my own advice, by the way: this blog doesn’t get me any money but it’s fun, and maybe I’ll help some day — e.g. maybe it’ll spark my creativity. Here’s a bit about Einstein’s mustache, and the universe being curved in.