Top

The game of chess as the universe

6 December 2006 12:48 PM | Last modified: 19:48

Every chess player knows the comparisons between the game of chess and war, between the game of chess and ‘life’. But computers show that the game of chess should actually not be compared to real life combat or life itself, but rather to… the universe.

Okay, so Man didn’t make it against Machine. Intuition and creativity fail more often and often, although sometimes it’s still close, against the computer’s brute calculation force. As I argued before, this can be explained by the simple fact that chess, in the end, is a matter of calculation, and computers are simply better at this than humans. (By the way, the last match game Deep Fritz-Kramnik was a very nice demonstration of what I meant could happen if a Sicilian came on the board. Or did you understand anything of Fritz’ tarnishing way of treating the opening - succesfully?) Humans are good at intuitively finding relations, at fast recognition of approximately, but not exactly the same patterns. What does this mean for the future of chess?

The possibilities are fascination, but also a little frightening. By tearing down strategic rules, intuitive pattern recognition, opening theory and knowledge of theoretical endgames, the computer shows us a view into the inmeasureable abbys en complexity of chess.

Jonathan Rowson, in his already classical book Chess for Zebras, speculates about what computers can show us in the long term:

“If computers ever manage to ’solve’ the game, we would know the fact of the matter about which moves tilt the balance between a draw and a win. We might also discover, for instance, that 1.d4 leads to a draw in most variations, while 1.e4 wins in every line except the Najdorf! It is also possible, and personally I think it is more likely, that chess would look radically different, perhaps even unimaginably different. By this I mean that something that seems utterly ridiculous now, like claiming 1.a4? is losing for White while 1.a3!? is a draw and 1.b3 is winning, might turn out to be true, but for reasons that are beyond us now.”

By the way, this ‘uninmaginable difference’ is currently shown mainly by computers that work on calculating theoretical endgames, so called tablebases. How completely counter-intuitive these endgames are, if played perfectly, is described strikingly by chess computer expert Tim KrabbĂ©: “A grandmaster wouldn’t be better at these endgames than someone who had learned chess yesterday. It’s a sort of chess that has nothing to do with chess, a chess that we could never have imagined without computers. The (…) moves are awesome, almost scary, because you know they are the truth, God’s Algorithm - it’s like being revealed the Meaning of Life, but you don’t understand one word.”

Recently, I watched a lecture of the Brittish scientist Richard Dawkins, especially known for his book The Selfish Gene. Dawkins starts his lecture with two quotes. The first is by biologist J.B.S. Haldane: “Now, my own suspicion is that the universe is not only queerer than we suppose, but queerer than we can suppose.” The second quote is by Richard Feynman, and is about quantum mechanics: “If you think you understand quantum theory… you don’t understand quantum theory.”

Striking echos of the quotes by Rowson and KrabbĂ©! Richard Dawkins | photo: wikipediaDawkins explains in his lecture that the human brain evolved to handle the reality of every day where people had to survice - just like the bat brain evolved to handle the reality of every day where bats had to survive. Human brains perceive stones as solid things, although they consist of empty space for the most part. Human intuition evolved to deal with ‘middle size’ objects surrounding humans - stones, trees, other animals - but not to handle extremely small things, like separate atoms or ‘strings‘, and not extremely large things, like solar systems or black holes.

I suspect it’s also like that with chess. Human chess intuition works as long as we don’t have to deal with extremely large or extremely small problems. The large problems – the tablebase endings – can only be ‘understood’ by computers, but we humans also have problems handling small problems. Which chess analyst doesn’t know the positions where you just feel that White must have a small advantage, which you’re unable to prove when you start analysing the position extensively (with a computer)? The small advantage must be there, you can smell it, but when you actually start looking, it eludes you time and time again. Our apparent certainties, our beacons, stop functioning. ‘Our’ chess theory (not only openings, but also strategy) is, I think, not about Chess (with a captical C) itself, but about the likelihood with which certain moves are followed by other moves, and ultimately about the behaviour of chess players, rather than the formal properties of the game. We were able to imprison the game for centuries, but the computer forces us to face the fact that the game is starting to elude us. More and more often you see analysis with commentaries like: “the computer says the position is equal here, and perhaps it is right, but from a human perspective, White is better.”

And so perhaps the analogy of Dawkin’s ‘middle size world’ can teach us something about our chess understanding and the way we used to view chess in the past. Chess is not an analogy for life - that’s exactly what it’s not! In life, we are dealing with ‘middle size’ things, and in chess we increasingly have to deal with non-middle size objects like tablebases and stereotyped evaluations that turn out to be wrong. Chess is, rather, an analogy for the universe. We take brave attempts to understand it, and even think we can battle it. But if what chess computers show us now is only the tip of the iceberg, we will not only lose the battle, but also perhaps never understand why we lost it.

This is no reason for pessimism, perhaps only for a different frame of reference.

Comments

14 Responses to “The game of chess as the universe”

  1. Arno Bezemer on 6 December 2006 13:18 PM

    Over het heelal gesproken, ik herinner me eens gelezen te hebben dat het oplossen van het schaakspel theoretisch onmogelijk is omdat het aantal mogelijke stellingen groter is dan het aantal atomen in het heelal. Slaat dit ergens op?

  2. rapanui on 6 December 2006 13:28 PM

    Arno, op answers.com vond ik het volgende antwoord: “The number of board positions that a chess board may be placed in is astronomical—more than the number of atoms in the universe. However, the number of legal positions is rather smaller, under 1050. This is somewhat too large to be solved by conventional technology in less than a few centuries, even with a thousand fast chess computers each searching a billion positions per second, and using alpha-beta pruning.”

  3. rapanui on 6 December 2006 13:28 PM

    Hm. Dat moet natuurlijk niet 1050 maar 10^50 zijn…

  4. Eric on 6 December 2006 13:37 PM

    “Mensenbreinen zien stenen als solide, hoewel ze voor het overgrote deel uit lege ruimte bestaan.”

    De suggestie is dat stenen ‘in werkelijkheid’ bestaan uit lege ruimte, maar dat lijkt me toch een misvatting. Of, liever gezegd: de beschrijving van stenen als lege ruimte is óók een interpretatie van de werkelijkheid, net als de beschrijving van stenen als vaste materie. Maar dat geheel terzijde (van schaken heb ik geen verstand, of de stukken nu uit lege ruimte bestaan of niet). :-)

  5. rapanui on 6 December 2006 13:51 PM

    Klopt Eric, maar in elk geval bestaan stenen verhoudingsgewijs meer uit ‘lege ruimte’ dan uit ‘materie’. Zoals Dawkins zegt: “The familiar illustration represents the nucleus of an atom as a fly in the middle of a sports stadium. The next atom is right outside the stadium.”

  6. Eric on 6 December 2006 13:56 PM

    Dat zou inderdaad kunnen, Rapanui. Maar dat is wel gebaseerd op een driedimensionale opvatting van de ruimte - en dat is natuurlijk gewoon weer iets waar onze hersenen toevallig goed mee om kunnen gaan. :-)

  7. Dennis Breuker on 6 December 2006 13:58 PM

    Het aantal mogelijke stellingen zegt niet alles over de oplosbaarheid van het schaakspel. Immers, neem het volgende spel: op een go-bord plaatsen wit en zwart om en om een fiche. Als het bord vol is, wint degene met de meeste fiches. Enorm veel stellingen mogelijk, maar het spel is eenvoudig uit te rekenen: degene die begint wint.

    Natuurlijk werkt het niet zo bij schaken, maar dit was alleen om aan te tonen dat je niet kan zeggen: het wordt niet opgelost, want het aantal stellingen is te groot.

    Zie ook het proefschrift van Victor Allis:
    http://web.archive.org/web/20041209153052/http://www.cs.vu.nl/~victor/thesis.html

  8. Bert de Bruut on 6 December 2006 18:21 PM

    Interessant, zoals gewoonlijk Rapa, maar toch voel ik op menselijke schaal gemeten liever de wind door mijn haar dan steenslag.

  9. Pieter Priems on 6 December 2006 19:23 PM

    Het goede nieuws is dat we kunnen begrijpen dat ons bewuste denken beperkt is. Dat accepterende zijn we wellicht klaar voor een paradigma verandering. Intressant voor de mensheid.

    In microvorm ben ik wel benieuwd naar de ‘wetmatigheden’ van het schaakspel, misschien kunnen de computers ons helpen bij het ontwikkelen van betere patronen (strategieen en taktiek). Tot nu toe was die ontwikkeld op basis van menselijke ervaringen en best practices. Nu met de computer is het toetsen van het aantal de mogelijkheden veel groter. Laten we er vooral van leren en het gebruiken op menselijk niveau. Schaken tegen mensen blijft leuk.

  10. Paco on 8 December 2006 10:26 AM

    Fiches op een go-bord, dat spel is inderdaad aan weinig verrassingen onderhevig, hoe is de actuele stand van zaken computers-go ? Is dat al een uitgemaakte zaak ? Mijn complimenten voor het mooie artikel.

  11. Marcel Rademakers on 27 February 2007 1:05 AM

    Hoeveel atomen heeft het heelal? Iemand die dat weet is is zijn tijd vooruit,zou Einstein zeggen.

  12. arne on 27 February 2007 11:18 AM

    De schattingen lopen uiteen van 10^78 tot 10^81, Marcel. Een hele hoop, in elk geval.

  13. Marcel Rademakers on 5 June 2007 13:06 PM

    Gelukkig is de mens zijn eigen vraag en antwoord,kunnen we lekker bezig blijven.

  14. Scott on 27 February 2008 19:42 PM

    I like his description of humans adapting themselves to deal with “medium-sized” things… hmm. I think I wonder less over the existence of God than this question of what is a truly “medium-sized” thing.


Got something to say?





Latest 30 posts:


Svidler in sole lead in Moscow 6/10, 20:39
Rybka clinches 2nd Computer World Championship title 6/10, 11:08
A scientific standard for chess writing? 5/10, 19:08
Russian Superfinal: Svidler beats Morozevich, leads with Lastin 5/10, 11:34
Anand interview in Der Spiegel 4/10, 13:30
Weekly Endgame Study (91) 4/10, 10:00
Super start Superfinal 3/10, 22:21
World Mind Sports Games kick off today 3/10, 13:30
Schachbundesliga starts, all games live 2/10, 12:50
“The United States needed a high level chess league” 1/10, 18:00
Austronaut vs school children: 1.d4 Nf6 1/10, 10:00
Topalov tops new FIDE ratings, now officially 30/9, 10:38
Russia takes revenge with rapid and… football 29/9, 12:22
Four-way tie for first at SPICE Cup 29/9, 10:36
Chess is art is chess 28/9, 10:39
Weekly Endgame Study (90) 27/9, 10:00
Bulgarian Chess Federation: “Mr Ilymzhinov, please inform us” (UPDATE) 26/9, 22:27
Attacking Ă  la Tarrasch 26/9, 14:17
Torre’s comeback? 25/9, 14:34
Almasi wins Hungarian Championship 25/9, 9:35
China beats Russia in classical part 24/9, 12:09
Anand-Kramnik: half of the tickets sold 23/9, 17:52
Kritz & Mikhalevski lead SPICE Cup 23/9, 11:11
Milov beats a truncated Rybka 22/9, 12:41
China-Russia tied after three rounds 21/9, 15:18
Alexandra and I 20/9, 10:24
Weekly Endgame Study (89) 20/9, 10:00
Jan Werle wins European Union Championship 19/9, 10:14
Alexandra Kosteniuk new Women World Champion 18/9, 10:15
Beauty in chess II 17/9, 12:24

» check the latest coverstories

Bottom