4 ms·

I loved GEB, but since reading it (and jumping in and re-reading parts here and there when it strikes my fancy) I've come to the conclusion that it's a perfectl

I loved GEB, but since reading it (and jumping in and re-reading parts here and there when it strikes my fancy) I've come to the conclusion that it's a perfectly laid Dunning-Kruger trap which specifically ensnares people like me. I am not as smart as Hofstadter, and I know it, and so I'll never be sure I've actually understood the meat of the message. I think I get strange loops, recursion, self-reference and the metaphor of the anthill. I still think I'm missing something with breaking the record players, but based on my understanding it's a metaphor for incompleteness.

jmcqk6 15y ago
I think you might be right. The most valuable thing for me from the book was the explanation of Godel's theorem, and I really enjoyed all the language play. After that, I grew really uncomfortable with the comparisons to "this could be how the brain works." I have the firm belief that figuring out how the brain works will not be accomplished through pure mathematics, but through scientific inquiry.
funkah 15y ago
Have you ever seen Hofstadter try to summarize the idea conveyed in the book? He really is not able to, and so I think the book pretty much boils down to "hey here's a bunch of weird/cool stuff." Which is not such a bad thing. But for me, there was a point where I had to stop reading, I think when he tries to independently derive propositional logic or something like that? (It has been a while.) I just remember finding it to be a tedious retread of something everyone already took for granted.
- drewrv 15y ago
  He's pretty explicit that the idea is: consciousnesses is a strange loop, and since it's sometimes impossible to understand a system from within that system, we may never be able to understand the human mind because we are trapped within human minds.
  - presidentender 15y ago
    ... Thank you!
  - Angostura 15y ago
    See also: "The Emperor's New Mind" - 'Consciousness is a quantum phenomenon since they're both really weird".
haberman 15y ago
I had the opposite reaction: I lost faith in the book's analytical process only ten pages in, when Hofstadter claimed that Bach's canon was a "strange loop" simply because it modulates to a higher key. Sure, if you keep doing this you can get to the same key, an octave higher, but that's only because pitch itself is periodic, repeating the same notes every octave. There's nothing unique or mysterious about Bach's canon in this regard; anything that modulates up a step has the same property (for example, the chorus to "Mandy" by Barry Manilow). I think the far more interesting observation is that octaves in music work this way, where we as humans somehow perceive frequencies in a 2:1 ratio as "the same, but different." A 440 and A 880 aren't the same pitch, and we can clearly perceive the difference between them, and yet the seem "the same" to the point that we give them the same letter and think of them as the same. I find that very interesting and slightly mysterious. Anyway, since music is my area of expertise (as opposed to the other things described in the book) I lost faith that his explanations of the other subject material wouldn't have similarly sloppy thinking. The impression I got was that, in an effort to weave an interesting and engaging narrative, he was too quick to see things as instances of these fanciful concepts like "strange loops."
- pork 15y ago
  Interesting! Reminds me of the criticism leveled against Freakonomics, and it's genuinely the first time I've heard it applied to GEB. What you're saying is obvious and makes perfect sense, I wonder if we're both missing something, or if Hofstader was playing a little too merrily outside his domain of expertise. Edit: first time until I got lower down this thread, wow!
- jmilloy 15y ago
  I agree - I think the Bach and Escher examples throughout the book are frequently a stretch. There's plenty of value outside of these areas, however. I think that without being an expert in each of the fields, we can use our critically thinking to see through the fanciful aspects and get to the core.
- spinonethird 15y ago
  The Bach metaphor is really bad. I believe Hofstadter referees to the canon by which Bach inscribed "Ascendenteque Modulatione ascendat Gloria Regis" ("As the keys ascend so may the glory of the king also ascend"). Bach did not mean that after going up an octave the king's glory would have returned to it's starting point. disclaimer: I did not read the book.
jerf 15y ago
"I still think I'm missing something with breaking the record players, but based on my understanding it's a metaphor for incompleteness." The record player is a Turing Machine interpreter. The "blowing up" is going into an infinite loop, or stopping the record incorrectly when it would have in fact terminated. The record player doesn't blow up if it A: runs a terminating program or B: correctly stops the record by determining the program will never halt. The differing record players represent the fact that you can write interpreters that will detect certain cases of infinite looping, but the halting problem prevents you from catching all cases. The repeated sequence in the book is: 1. A new "guaranteed safe!" record player is produced 2. A record is produced which breaks it (a program that loops but gets past the player is produced) 3. Goto 1. At least, IIRC, it's been a few years since I read it.

jmcqk6 15y ago

I think you might be right. The most valuable thing for me from the book was the explanation of Godel's theorem, and I really enjoyed all the language play. After that, I grew really uncomfortable with the comparisons to "this could be how the brain works." I have the firm belief that figuring out how the brain works will not be accomplished through pure mathematics, but through scientific inquiry.

funkah 15y ago

Have you ever seen Hofstadter try to summarize the idea conveyed in the book? He really is not able to, and so I think the book pretty much boils down to "hey here's a bunch of weird/cool stuff." Which is not such a bad thing. But for me, there was a point where I had to stop reading, I think when he tries to independently derive propositional logic or something like that? (It has been a while.) I just remember finding it to be a tedious retread of something everyone already took for granted.

drewrv 15y ago
He's pretty explicit that the idea is: consciousnesses is a strange loop, and since it's sometimes impossible to understand a system from within that system, we may never be able to understand the human mind because we are trapped within human minds.
- presidentender 15y ago
  ... Thank you!
- Angostura 15y ago
  See also: "The Emperor's New Mind" - 'Consciousness is a quantum phenomenon since they're both really weird".

haberman 15y ago

I had the opposite reaction: I lost faith in the book's analytical process only ten pages in, when Hofstadter claimed that Bach's canon was a "strange loop" simply because it modulates to a higher key. Sure, if you keep doing this you can get to the same key, an octave higher, but that's only because pitch itself is periodic, repeating the same notes every octave. There's nothing unique or mysterious about Bach's canon in this regard; anything that modulates up a step has the same property (for example, the chorus to "Mandy" by Barry Manilow). I think the far more interesting observation is that octaves in music work this way, where we as humans somehow perceive frequencies in a 2:1 ratio as "the same, but different." A 440 and A 880 aren't the same pitch, and we can clearly perceive the difference between them, and yet the seem "the same" to the point that we give them the same letter and think of them as the same. I find that very interesting and slightly mysterious. Anyway, since music is my area of expertise (as opposed to the other things described in the book) I lost faith that his explanations of the other subject material wouldn't have similarly sloppy thinking. The impression I got was that, in an effort to weave an interesting and engaging narrative, he was too quick to see things as instances of these fanciful concepts like "strange loops."

pork 15y ago
Interesting! Reminds me of the criticism leveled against Freakonomics, and it's genuinely the first time I've heard it applied to GEB. What you're saying is obvious and makes perfect sense, I wonder if we're both missing something, or if Hofstader was playing a little too merrily outside his domain of expertise. Edit: first time until I got lower down this thread, wow!
jmilloy 15y ago
I agree - I think the Bach and Escher examples throughout the book are frequently a stretch. There's plenty of value outside of these areas, however. I think that without being an expert in each of the fields, we can use our critically thinking to see through the fanciful aspects and get to the core.
spinonethird 15y ago
The Bach metaphor is really bad. I believe Hofstadter referees to the canon by which Bach inscribed "Ascendenteque Modulatione ascendat Gloria Regis" ("As the keys ascend so may the glory of the king also ascend"). Bach did not mean that after going up an octave the king's glory would have returned to it's starting point. disclaimer: I did not read the book.

jerf 15y ago

"I still think I'm missing something with breaking the record players, but based on my understanding it's a metaphor for incompleteness." The record player is a Turing Machine interpreter. The "blowing up" is going into an infinite loop, or stopping the record incorrectly when it would have in fact terminated. The record player doesn't blow up if it A: runs a terminating program or B: correctly stops the record by determining the program will never halt. The differing record players represent the fact that you can write interpreters that will detect certain cases of infinite looping, but the halting problem prevents you from catching all cases. The repeated sequence in the book is: 1. A new "guaranteed safe!" record player is produced 2. A record is produced which breaks it (a program that loops but gets past the player is produced) 3. Goto 1. At least, IIRC, it's been a few years since I read it.