Metadiscussion: Reply to this comment to discuss the game itself, or anything else that's not a proposition for upvotes/downvotes.
Great idea for a post. I've really enjoyed reading the comments and discussion they generated.
Does it make sense to speak of probabilities only when you have numerous enough trials?
No, probability theory also has non-frequency applications.
Can we speak of probabilities for singular, non-repeating events?
Yes. This is the core of a Bayesian approach to decision making. The usual interpretation is that the probabilities reflect your state of knowledge about events rather than frequencies of actual event outcomes. Try starting with the LW wiki article on Baesian probability and the blog posts linked therefrom.
This line of discussion is interesting to me because if the analogy holds, then it implies that what this community calls "the dark side" vs "the dark arts" are very different from each other despite the surface similarity of the terminology.
The dark side, as I understand it, is what you get when someone decides that beliefs have some value other than that derived via a correspondence theory of truth. Then they twist their mind into a pretzel and emotionally freak out when you show them evidence which violates their semi-consciously constructed "useful delusions". This is like the recovering alcoholic who has a belief that Jesus will personally intervene in their lives to give them strength where the belief powers their decision not to drink alcohol. The analogy in go would be a "trick play" where seemingly solid arguments (or lines of play) can "destroy the situation" for the person relying on the trick, but in the absence of solid refutation the move might win the game.
The dark arts that you seem to be referring to just now as "subtle moves" seem to be analogous to go concepts like sabaki play, which is relatively light in the sense of putting stones on the board that are loosely connected, easy to sacrifice, but generally well placed, so that if they are attacked clumsily the other player can develop a position that is too large to sacrifice, too expensive to defend, and/or inefficient. The epistemic equivalent to sabaki play might be "sophistry", where someone is known to be highly skilled at argument and therefore it somehow "counts less" when they win because all their "fancy words" lead to a victory for reasons that are not obvious to people who disagree and/or haven't studied rhetoric.
The place the analogy breaks down might be that in go "sabaki play" is in some sense simply good play, whereas in argument people have a sense (justified or not) that sophisticated argumentation is somehow "dirty". Perhaps in go the difference between trick play and sabaki play is more visible because whether play is good or not is more objective, whereas in argument things are much fuzzier. In verbal disputes there are incentives for less skilled debaters to ad hom more skilled debaters, and inferential distance might make it hard for uneducated observers to untangle the fact of the matter based on surface-level observations. Plus this same fuzziness creates opportunities for rhetorically skilled cheaters to really pull tricks so accusations of trickery might be on target.
Still, its interesting that this sense of the "dark arts" seem to most easily be deployed by people who have studied "human rationality", whereas the "dark side" mostly involves people purposefully adopting bad epistemology and then going off the rails. It sort of seems like a critique of the terminology if dark arts tend not to be deployed by the dark side.
I would appreciate anyone who could take a counterpoint and shed light on the issue :-)
It sort of seems like a critique of the terminology if dark arts tend not to be deployed by the dark side.
I agree. I think the dark side terminology is based on the "dark side of the force" from Star Wars, which has connotations of a personal fall into temptation, and the dark arts refers to magic of evil intent or effect, perhaps from Harry Potter, where it is used by evil but not self-deceiving villains. This could explain the inconsistency.
This line of discussion is interesting to me because if the analogy holds, then it implies that what this community calls "the dark side" vs "the dark arts" are very different from each other despite the surface similarity of the terminology.
The dark side, as I understand it, is what you get when someone decides that beliefs have some value other than that derived via a correspondence theory of truth. Then they twist their mind into a pretzel and emotionally freak out when you show them evidence which violates their semi-consciously constructed "useful delusions". This is like the recovering alcoholic who has a belief that Jesus will personally intervene in their lives to give them strength where the belief powers their decision not to drink alcohol. The analogy in go would be a "trick play" where seemingly solid arguments (or lines of play) can "destroy the situation" for the person relying on the trick, but in the absence of solid refutation the move might win the game.
The dark arts that you seem to be referring to just now as "subtle moves" seem to be analogous to go concepts like sabaki play, which is relatively light in the sense of putting stones on the board that are loosely connected, easy to sacrifice, but generally well placed, so that if they are attacked clumsily the other player can develop a position that is too large to sacrifice, too expensive to defend, and/or inefficient. The epistemic equivalent to sabaki play might be "sophistry", where someone is known to be highly skilled at argument and therefore it somehow "counts less" when they win because all their "fancy words" lead to a victory for reasons that are not obvious to people who disagree and/or haven't studied rhetoric.
The place the analogy breaks down might be that in go "sabaki play" is in some sense simply good play, whereas in argument people have a sense (justified or not) that sophisticated argumentation is somehow "dirty". Perhaps in go the difference between trick play and sabaki play is more visible because whether play is good or not is more objective, whereas in argument things are much fuzzier. In verbal disputes there are incentives for less skilled debaters to ad hom more skilled debaters, and inferential distance might make it hard for uneducated observers to untangle the fact of the matter based on surface-level observations. Plus this same fuzziness creates opportunities for rhetorically skilled cheaters to really pull tricks so accusations of trickery might be on target.
Still, its interesting that this sense of the "dark arts" seem to most easily be deployed by people who have studied "human rationality", whereas the "dark side" mostly involves people purposefully adopting bad epistemology and then going off the rails. It sort of seems like a critique of the terminology if dark arts tend not to be deployed by the dark side.
I would appreciate anyone who could take a counterpoint and shed light on the issue :-)
I think you have really helped to clarify the go side of this analogy, and I'm grateful for your description of sabaki play and what makes it different from trick moves. I think the connection you draw to rationality and debate are pretty good.
I'm not sure about this, but I think there's another sense in which the term "dark arts" is used on LessWrong: using one's knowledge of common cognitive biases and other rationality mistakes to get people to do or believe something. That is, fooling others, not fooling yourself. For the go analogy, I think this is most closely related to trick (non-obviously suboptimal) moves. Or perhaps the technically unsound but necessary aggressive moves used by white in handicap games to which black often responds with too much humility.
Go and chess provide clear demonstrations of opportunity cost, the first-mover advantage (esp. go), and the importance of not wasting time on trivial moves.
Go provides proof of, and some understanding of, the power of human intuition. My dad can make moves that I don't think he knows the reasons for, that turn out to have amazing consequences 10 moves later when I discover eg. that a group of stones of mine is dead because, even though I have more liberties in that group than he has in his attacking group, he can use his liberties while I can't use mine due to side-effects of those moves. But one is not inclined to view this as mystical intuition; it's patterns in the stones that his unconscious learned to recognize without his conscious mind knowing why.
Small advantages escalate. In chess, at the start of the game I might focus on trying to force my opponent to take a move back, or to trade a piece I haven't moved for a piece he has moved. Once that's done, I take advantage of my increased deployment to try to make an otherwise-even trade that disrupts his pawn structure. Once that's done, I try to take the isolated pawn. Once I'm a pawn ahead (I know then that I'll probably win) I force trades to make that advantage larger. I don't know if this works in real life.
Small advantages escalate
Actually, one thing I enjoy about go is that small advantages don't escalate, at least not nearly as much as they do in chess. In go, if you make a mistake early that puts you behind by, say, 30-40 points, the place where you made that mistake usually interacts with the rest of the board little enough that you're not hugely disadvantaged elsewhere, and if you play better in the time and space that is left, you can catch up. But as you say about chess, I'm not sure if this is a very generalizable idea, at least when it comes to rationality.
I don't doubt that there are lots of rationality lessons in deterministic games like Go. But I think in some ways they crucially misrepresent life. When you've lost a game in Go you can always think:
"I lost because I didn't play well enough."
In games with a random element, like poker, you have to think:
"I lost because I didn't play well enough AND/OR because I was unlucky."
To become good at poker it's crucial to be able to distinguish between bad luck and play mistakes. You have to keep your cool when your opponent makes bad moves and wins anyway. You have to be able to think thoughts like this:
"That the card on top of the deck should have happened to be the only one that would let my opponent win the game is not evidence I should update on. It tells me nothing I didn't already know. It's just that Nature felt like slapping me in the face right now and there's nothing I can do about it. She'll wipe the grin off my opponent soon enough if he keeps playing like that."
In life, we are very often faced with situations where we have to analyze to what extent something is the result of our own actions and to what extent it is the result of factors outside our control.
To become good at poker it's crucial to be able to distinguish between bad luck and play mistakes. You have to keep your cool when your opponent makes bad moves and wins anyway....In life, we are very often faced with situations where we have to analyze to what extent something is the result of our own actions and to what extent it is the result of factors outside our control.
I think this sounds like a valuable lesson to learn, and as you say, the kind of thing you couldn't get from a deterministic game. And as with go, I suspect that some lessons from poker sink in better when you experience them in play than when you just read them. I would be interested to read more about it, if you (or any other poker players out there) have the time and interest to write a post on rationality in poker or other games with a chance component. I have a feeling that there are lessons related to probability and quantifying your beliefs that could be drawn, or perhaps stories from games that can be used as illustrations of probabilistic or Bayesian reasoning.
I find backgammon to also be a good analogy for life in general, though I don't really have the time to get into all of the details... perhaps the most important lesson, though, is that if you always take the "safest" move, you're almost guaranteed to lose! You need to take risks - smart risks, where the payoff is worth the danger and the danger is non-fatal, but risks nonetheless.
And sometimes, even if you do everything right, you still lose. That's life.
There's an interesting essay by William Pinckard that contrasts the philosophical perspectives of the gameplay of three ancient games; backgammon, chess, and go, which says in summary: backgammon is man-vs-fate, chess is man-vs-man, and go is man-vs-self.
What's your playing strength in Go? The article reads a bit like it's either too much targeted at people without understanding of go or is written without by someone with a playing strength >5 kyu?
But if the two players disagree, the solution is simply to resume play. That true for some Go rule sets but it isn't true for Japanese style rules.
I'm 1 kyu.
What's your playing strength in Go? The article reads a bit like it's either too much targeted at people without understanding of go or is written without by someone with a playing strength >5 kyu?
I'm about 12k on KGS. I definitely aimed the article at people who knew nothing about go, but I think it's also interesting that you could tell that I'm not a very strong player myself. I would be interested to know if you have found generalizable lessons which only came after you achieved a deeper understanding of the game.
But if the two players disagree, the solution is simply to resume play. That true for some Go rule sets but it isn't true for Japanese style rules.
According the wikipedia article on rule sets' treatment of the end, all the sets actually say that you should play things out, capturing dead stones. I guess I've only ever played with the more convenient practice of mutual agreement about dead stones. It happens this way in every club and internet server I've ever played at, even when using Japanese rules. So in this sense, the actual experience of playing go does reinforce the idea that new evidence is the arbiter of conflicting beliefs.
Is it true that all of these points could be said for any goal-centered action, such as making paperclips? Or for any game? How is Go different that those other games and tasks with respect to these lessons and insights?
I think you're right that most goal-directed activity, especially formalized pursuits like abstract board games, encourages rational thinking. Nevertheless, I have gotten the feeling that go is particularly good in this regard, at least in my experience. I played chess for a long time, and have tried many other types of formal table and online games, and of them all, go seems to have the strongest tendency to show me how bad habits of thinking work against me.
I would love to see more articles like this one explicitly illustrating how other activities can be be approached as a means of rationality practice.
(Perhaps you have had experience gambling in the paper clip casino to increase your hoard, which has given you valuable practice in understanding probability?)
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Yeah, I thought it might be too concise. Are there particular sections you would like to see expanded?
Even after possibly filling it out a little it shouldn't satisfy all your curiosity since I haven't talked about how to practice it yet. I was planning on doing that in another post that uses the conceptual framework of this one. Do you think it should all be a single post?
Also, thanks for the link. I've been thinking about how all this connects to pjeby's ideas.
Yes, or else posted very soon. In any case, if the content ends up separate, please link each post to the other.