All kangaroos look the same
We are totally capable to distinguish between male and female faces. Yet we don't know how we do that. From an evolutionary point of view, it is probably handy to know the difference between men and women.
On the other hand, I have no idea what a female kangaroo looks like. Nature is very frugal with skills, since they eat up mental resources. From a surviving point of view, it is not necessary to know the difference between male and female kangaroos. I suppose male kangaroos have no pouch.
As usual, I have no idea where my post is going to beforehand.
The task of system 2 is, maybe among other tasks, pruning. When I am just modeling clay, I have to wait until some female characteristics appear accidently. That took about six hours when I tried it for the first time.
When Robert provided me with a website about the eight differences between male and female faces, I knew where to look, and the next time it took me only one hour to model a face that looked somewhat female. System 2 guided my attention along the eight differences between male and female faces, thus replacing randomness by a targeted approach.
I wondered why system 2 didn't know anything about how I recognized the differences between male and female faces. That is totally hidden within the operation of system 1.
But since clay modeling isn't a skill with great evolutionary value, I must bother system 2 with the details. The past weeks I started to look at a lot of female faces. And slowly system 2 learns more about the differences. The things that you won't find in books.
I noticed that my clay models were based on a two dimensional view. But of course it is not going to work if I try to imprint three dimensional features in a two dimensional way. So slowly I am learning to see better. I must see the 3D features consciously. That means, that system 2 has to be involved. Without system 2, there can't be a conscious approach. And without a conscious approach, you are dependent of randomness. Involvement of system 2 means that every feature needs a name.
Genesis 2:19-20: "Now the Lord God had formed out of the ground all the wild animals and all the birds in the sky. He brought them to the man to see what he would name them; and whatever the man called each living creature, that was its name.
Please don't get carried away. I'm not religious in any traditional way. (Adam = system 2, Eve = system 1?)
What does that mean for chess? Have a look at the following position.
Black to move |
8/6k1/1b2ppp1/1P5p/2n1NP2/B5PK/2r4P/R7 b - - 1 1
[solution]
There is quite some distance between the first move and the winning of the white rook. How do we get the whole picture? What salient cues must system 1 see and what logic must be applied by system 2 in order to get a holistic view?
Yesterday I realized that in order to have a tactic, you need a target. The three targets that needs considering are:
- the NOT defended targets (LPDO)
- the B.A.D. (Barely Adequate Defended) targets
- the invasion square
But what is the most logical order to look for these targets?
A NOT defended target is not under attack yet. So you need at least one tempo to attack it. To prevent it from escaping or being protected, you need at least a two tempo move to attack it. So you can better look for double attacks in stead.
A BAD target has an equal amount of attackers and defenders [n:n]. Someone said that you can best start to look for the target with the highest n first. Since the more defenders there are, the higher the chance that one of them can be eliminated or is compromised because of some function it must fulfil. That too indicates that a NOT defended target should be later on the list, since it has no defenders at all which you can compromise. Hence the best order is:
- the B.A.D. targets (with the most amount of defenders first)
- the NOT defended targets (since you need to get an extra tempo from elsewhere)
- the invasion square (if everything else fails)
- h2 [1:1]
- Ba3 [1:1]
I always have been reluctant to fully emerge in the vultures' spiral, since when you see nothing relevant, you end up questioning "now what?" But here is the answer, follow the logic until the next opportunity to take your distance and have another look. System 1 and system 2 must work together. To paraphrase Mr. Miyagi, "zoom in, zoom out"
ReplyDeleteVery interesting! You have validated my intuition that we do NOT need to [and should NOT] shut out System 2 [L-mode] so that System 1 [R-mode] can work its magic of "SEEing" holistically, per Edwards. The two system (or modes) must operate as complementary partners, not competitors.
ReplyDeleteAs an aside (triggered by your excellent analysis of the need to name things that have been seen so as to clearly distinguish between them):
Here in the USA (perhaps elsewhere), a vulture (buzzard) is a carrion eater. Although they usually soar around looking (or more likely smelling) for carrion, they don't swoop in and swoop out because they are not predators hunting live prey which can run away or fight back. On the other hand, hawks (and falcons and eagles) DO swoop in and swoop out, dive bombing down on to the prey from high up. Hawks actively "LOOK" for mobile prey to attack while spiraling, whereas a vulture waits for something else to do the dirty work of killing the meat. Vultures don't take any risks (other than food poisoning), whereas the hawks seize the prey while it can actively resist getting carried off for a meal (think hawk versus snake). The prey can escape the attack only if it is aware of the imminent attack in time or is strong enough to beat off the attack.
It doesn't matter to me which name is given to the metaphorical chess bird, as long as the "bird's eye view" connotes an active predator searching for prey to attack, with the attack action being similar to dive bombing with "grab and run" as the methodology. Your description over time of the "vulture's eye view" mechanism evokes that paradigm, so it’s a moot point at best.
GM Beim (following GM Nimzovich) distinguishes positional play and tactics by two different words: evolutionary versus revolutionary. Positional (evolutionary) play is a natural progression (allowing the target to die - of boredom) whereas tactical (revolutionary) play is a sudden unexpected strike from a clear sky; vulture versus hawk. The hunting methods of the two types of birds are totally different.
I haven't bothered to quibble previously because I got your intended picture.
Eagle is fine with me.
ReplyDeletePART I:
ReplyDeleteEagle it is, then.
I was amused by your conjecture: "(Adam = system 2, Eve = system 1?)". That might have been the case before Eve was created and became his wife. Poor Adam likely never got much of a chance to verbalize thereafter. I'm willing to bet that after the fiasco with the fruit (not necessarily an apple), he might have been happy to give up another rib just to hear the blessed sound of silence! I can hear them now:
Eve: “It’s all YOUR fault!”
Adam: “No it’s NOT! I didn’t take a bite first: YOU did!”
Eve: “Yes it IS your fault – you never said a word; you just ATE IT! I just said it looked good to eat and it tasted great.”
Adam: “You ATE it first!”
Eve: “SHUT UP! I can’t stand your excuses. You are SO left-brained!”
Adam: [SHUTS UP like he was told to do.]
Since I have the curiosity of a cat (but not the nine lives), I asked GM Stockfish (Chess Tempo) its opinion as to how to proceed as White. Unsurprisingly (by now), it "thought" there were better alternatives to 2. Rxa3. GM Stockfish is of the opinion that we might have overlooked stronger responses, even though all of them are losing for White.
Where there’s life, there’s hope!
(I don’t know why the scores reversed polarity. Something to do with Chess Tempo options for displaying scoring, IIRC.)
D41 +5.24 1...Nxa3 2.Nd6 [instead of 2. Rxa3] g5 3.fxg5 fxg5 4.g4 Rc3+ 5.Kg2 Nc2 6.Ne4 Ne3+ 7.Kh1 Rc2 8.Nxg5 Kf6 9.Nh7+ Ke7 10.Ng5 hxg4 11.Ne4 e5 12.Ng3 Ke6 13.h4 gxh3 e.p. 14.Ra4 Kd5 15.Rh4 h2 16.Rh6 Rc1+ 17.Kxh2 Ng4+ 18.Kg2 Rc2+ 19.Kf1 Nxh6
D41 +4.23 1...Re2 2.Rd1 g5 3.fxg5 Rxe4 4.gxf6+ Kxf6 5.Bb4 Re2 6.Rf1+ Kg6 7.Re1 Rxe1 8.Bxe1 Na3 9.g4 Nxb5 10.gxh5+ Kxh5 11.Kg3 Bc7+ 12.Kf3 Bxh2 13.Ke4 Kg4 14.Bb4 Nd6+ 15.Kd4 Kf5 16.Kc5 Ne4+ 17.Kc6 e5 18.Ba5 Ng3 19.Bc7 e4 20.Bb6 Ke6 21.Be3 Ne2 22.Bb6 Bg1 23.Ba5
PART II:
ReplyDeleteAfter playing 1… Nxa3 I indulged my curiosity again. I wanted to “SEE” if GM Stockfish would change its “mind” about capturing on the a3-square with 2. Rxa3. It didn’t but 2. Rxa3 got pushed down to 6th (!) place!
1. D42 -5.73 2.Nd6 Bc5 3.Nb7 Be7 4.Rg1 Nxb5 5.Rg2 Rxg2 6.Kxg2 e5 7.Na5 e4 8.Kf2 Bc5+ 9.Kf1 Nd4 10.Nc4 h4 11.Kg2 Nf3 12.Nb2 Bd4 13.Nc4 f5 14.Na5 Kh6 15.Nc6 Kh5 16.Ne5 Bxe5
2. D42 -5.85 2.Rh1 Kf7 3.Rd1 Ke7 4.Rd3 Nxb5 5.Rd2 Rxd2 6.Nxd2 Nd6 7.g4 Be3 8.Nb1 Bxf4 9.gxh5 gxh5 10.Nc3 Kf7 11.Kg2 Bh6 12.Na4 e5 13.Nc5 Ke7 14.Kh1 Be3 15.Na6 e4 16.Nc7 Kf7 17.Kg2 Bh6 18.Na6 Bf4
3. D42 -5.94 2.Re1 Kf7 3.Rd1 Ke7 4.Rd3 Nxb5 5.Rd2 Rxd2 6.Nxd2 Nd6 7.Nf3 Nc4 8.Kh4 Ne3 9.Nd2 Nd5 10.Nc4 Bc7 11.Nd2 Bxf4 12.gxf4 Nxf4 13.Kg3 e5 14.Kf2 Nd5 15.Ne4 f5 16.Nc5 Nf4 17.h4 Kd6 18.Na4 Nd5 19.Nb2 e4 20.Nc4+ Ke6 21.Na5 Ke5
4. D42 -5.94 2.Rf1 Kf7 3.Rd1 Ke7 4.Rd3 Nxb5 5.Rd2 Rxd2 6.Nxd2 Nd6 7.Nf3 Nc4 8.Kg2 e5 9.fxe5 fxe5 10.Ng5 Kf6 11.Ne4+ Ke6 12.Kf3 Nd6 13.Nc3 g5 14.Kg2 Bd4 15.Ne2 Kf5 16.Nc1 Ke4 17.g4 h4 18.Nd3 Kxd3 19.Kh3 e4 20.Kg2 h3+ 21.Kf1 Be5 22.Ke1 Bxh2
5. D42 -6.08 2.Rd1 Nc4 3.Rd7+ Kh6 4.Nxf6 g5 5.Rh7+ Kg6 6.fxg5 Bg1 7.g4 h4 8.Rxh4 Kxg5 9.Rh8 Kxf6 10.Kg3 Rc3+ 11.Kg2 Bb6 12.h4 Ne3+ 13.Kf2 Ke5 14.Re8 Nd5+ 15.Ke2 Nf4+ 16.Kd2 Rc7 17.Ra8 Ke4 18.Ra3 e5 19.h5 Nd5 20.Ra4+ Kf3 21.Ra3+ Be3+ 22.Rxe3+ Nxe3 23.b6 Rc2+ 24.Kd3 e4+ 25.Kd4 Rc4+ 26.Ke5
6. D42 -6.64 2.Rxa3 Bg1 3.g4 Rxh2+ 4.Kg3 h4+ 5.Kf3 Rh3+ 6.Kg2 Rxa3 7.Kxg1 Rb3 8.Nd6 g5 9.fxg5 fxg5 10.Ne8+ Kg6 11.Nd6 Rb2 12.Kf1 Rb4 13.Kf2 Rf4+ 14.Kg1 Rxg4+ 15.Kh2 Rd4 16.Nb7 Rb4 17.Nd6 Rb1 18.Kg2 g4 19.Kh2 Rb4 20.b6 Rxb6 21.Nc4
7. D41 -8.57 2.Nc3 Rxc3 3.Ra2 Nc4 4.Kg2 Kf7 5.Kf1 Ke7 6.Ke1 Kd6 7.Kf1 Kd5 8.Kg2 Ke4 9.f5 gxf5 10.Kh3 f4 11.Kh4 f3 12.Kxh5 e5 13.g4 Ke3 14.Kh4 e4 15.Kg3 Bc7+ 16.Kh3
8. D41 -8.66 2.g4 hxg4+ 3.Kg3 Nc4 4.Rf1 f5 5.Ng5 Kf6 6.h4 Ke7 7.h5 gxh5 8.Kh4 Ne3 9.Rg1 Nd5 10.Ra1 Nxf4 11.Nh7 Bf2+ 12.Kg5 Nd5 13.Kg6 h4 14.Rd1 Rc8 15.Kg7 g3 16.Ng5 Be3 17.Nf7 g2 18.Ne5 h3 19.b6 Bxb6 20.Ng6+ Ke8 21.Ne5 g1=R+ 22.Rxg1 Bxg1
I’ll be honest: Lasker’s “good move” maxim never crossed my mind:
“When you “SEE” a good move, don’t play it immediately; look for an even better move!”
I’d be willing to bet GM Kotov that several (perhaps ALL) of those alternative moves would NOT have been on HIS initial list of candidate moves!
I'm still working on this problem because there are lots of insights to be gleaned from it!
ReplyDeletePlease note: I am not quibbling or trying to be pedantic. I KNOW what you intended from the context.
While studying it and your analysis, I noticed a disconnect in the logic:
What is the best BAD target here?
h2 [1:1]
Ba3 [1:1]
Ra1 is the defender of both BAD targets. This means that it is already compromised. It is overloaded. So the next subject of contemplation offers itself: how to make use of the overloaded Ra1?
The simple 1. . . . Nxa3 2.Rxa3 lures the rook away from the defense of g1.
I “SAW” the two B.A.D. targets (h2 and a3), However, Ra1 is NOT directly defending both of those B.A.D. targets. Instead, it is defending a3 and g1, as you noted.
In earlier posts, you (correctly) noted that B.A.D. targets are NOT empty squares. A long time back, you categorized multiple intersecting attacks on an empty square as PoP-S (a point of pressure on an empty square). The g1-square is a PoP-S.
There are two separate and distinct local areas to be investigated. Area 1 of the overall “picture” is the area (pieces) involving the a3-square; area 2 is the area (pieces) involving the h2-square. There is no “obvious” surface level perceptual relationship (connection) between these two areas. That is where the problem lies.
The perception of the “edge” (Edwards’ terminology - the boundary between two local areas of interest) between the two B.A.D. targets is the basis for finding the overall solution. If we cannot find that relationship (connection) between these two areas, we cannot “draw” up a solution. BUT, there IS a connection: it is based on the Functions of the WRa1.
Just as one B.A.D. target can trigger a search for more attackers to add or a means to remove defenders, as you note, when a piece has two (or more) Functions to perform, it is compromised. THAT is the surface level “clue.” The BBb6 is the only potential additional attacker on the h2-square. The WRa1 is a defender of a3 and a “preventer” on g1, preventing Black from adding an attacker to h2 (which is the natural desiderata for conquering a B.A.D. square).
Never mind the word salad; WRa1 is compromised by its Functions.
It is much harder to “SEE” prevention on PoP-S squares because it requires us to “SEE” Functions and also to “SEE” negative space – there ain’t nothing there!