Followup to: Fake Explanations
When I was young, I read popular physics books such as Richard Feynman's QED: The Strange Theory of Light and Matter. I knew that light was waves, sound was waves, matter was waves. I took pride in my scientific literacy, when I was nine years old.
When I was older, and I began to read the Feynman Lectures on Physics, I ran across a gem called "the wave equation". I could follow the equation's derivation, but, looking back, I couldn't see its truth at a glance. So I thought about the wave equation for three days, on and off, until I saw that it was embarrassingly obvious. And when I finally understood, I realized that the whole time I had accepted the honest assurance of physicists that light was waves, sound was waves, matter was waves, I had not had the vaguest idea of what the word "wave" meant to a physicist.
There is an instinctive tendency to think that if a physicist says "light is made of waves", and the teacher says "What is light made of?", and the student says "Waves!", the student has made a true statement. That's only fair, right? We accept "waves" as a correct answer from the physicist; wouldn't it be unfair to reject it from the student? Surely, the answer "Waves!" is either true or false, right?
Which is one more bad habit to unlearn from school. Words do not have intrinsic definitions. If I hear the syllables "bea-ver" and think of a large rodent, that is a fact about my own state of mind, not a fact about the syllables "bea-ver". The sequence of syllables "made of waves" (or "because of heat conduction") is not a hypothesis, it is a pattern of vibrations traveling through the air, or ink on paper. It can associate to a hypothesis in someone's mind, but it is not, of itself, right or wrong. But in school, the teacher hands you a gold star for saying "made of waves", which must be the correct answer because the teacher heard a physicist emit the same sound-vibrations. Since verbal behavior (spoken or written) is what gets the gold star, students begin to think that verbal behavior has a truth-value. After all, either light is made of waves, or it isn't, right?
And this leads into an even worse habit. Suppose the teacher presents you with a confusing problem involving a metal plate next to a radiator; the far side feels warmer than the side next to the radiator. The teacher asks "Why?" If you say "I don't know", you have no chance of getting a gold star—it won't even count as class participation. But, during the current semester, this teacher has used the phrases "because of heat convection", "because of heat conduction", and "because of radiant heat". One of these is probably what the teacher wants. You say, "Eh, maybe because of heat conduction?"
This is not a hypothesis about the metal plate. This is not even a proper belief. It is an attempt to guess the teacher's password.
Even visualizing the symbols of the diffusion equation (the math governing heat conduction) doesn't mean you've formed a hypothesis about the metal plate. This is not school; we are not testing your memory to see if you can write down the diffusion equation. This is Bayescraft; we are scoring your anticipations of experience. If you use the diffusion equation, by measuring a few points with a thermometer and then trying to predict what the thermometer will say on the next measurement, then it is definitely connected to experience. Even if the student just visualizes something flowing, and therefore holds a match near the cooler side of the plate to try to measure where the heat goes, then this mental image of flowing-ness connects to experience; it controls anticipation.
If you aren't using the diffusion equation—putting in numbers and getting out results that control your anticipation of particular experiences—then the connection between map and territory is severed as though by a knife. What remains is not a belief, but a verbal behavior.
In the school system, it's all about verbal behavior, whether written on paper or spoken aloud. Verbal behavior gets you a gold star or a failing grade. Part of unlearning this bad habit is becoming consciously aware of the difference between an explanation and a password.
Does this seem too harsh? When you're faced by a confusing metal plate, can't "Heat conduction?" be a first step toward finding the answer? Maybe, but only if you don't fall into the trap of thinking that you are looking for a password. What if there is no teacher to tell you that you failed? Then you may think that "Light is wakalixes" is a good explanation, that "wakalixes" is the correct password. It happened to me when I was nine years old—not because I was stupid, but because this is what happens by default. This is how human beings think, unless they are trained not to fall into the trap. Humanity stayed stuck in holes like this for thousands of years.
Maybe, if we drill students that words don't count, only anticipation-controllers, the student will not get stuck on "Heat conduction? No? Maybe heat convection? That's not it either?" Maybe then, thinking the phrase "Heat conduction" will lead onto a genuinely helpful path, like:
- "Heat conduction?"
- But that's only a phrase—what does it mean?
- The diffusion equation?
- But those are only symbols—how do I apply them?
- What does applying the diffusion equation lead me to anticipate?
- It sure doesn't lead me to anticipate that the side of a metal plate farther away from a radiator would feel warmer.
- I notice that I am confused. Maybe the near side just feels cooler, because it's made of more insulative material and transfers less heat to my hand? I'll try measuring the temperature...
- Okay, that wasn't it. Can I try to verify whether the diffusion equation holds true of this metal plate, at all? Is heat flowing the way it usually does, or is something else going on?
- I could hold a match to the plate and try to measure how heat spreads over time...
If we are not strict about "Eh, maybe because of heat conduction?" being a fake explanation, the student will very probably get stuck on some wakalixes-password. This happens by default, it happened to the whole human species for thousands of years.
Part of the sequence Mysterious Answers to Mysterious Questions
Next post: "Science as Attire"
Previous post: "Fake Explanations"
I don't think LW claims that's the only place irrationality comes from. There's the various biases, an inability to update, akrasia, and so on...
Actuarial science, I imagine. My second guess is pharmacy, but that seems less technical than actuarial science.
Can you explain specifically "the need for it to be this way"? Would a person learning these things via SRS or a comparable long-term memorization system not wipe the floor with the crammers in real life? If someone who actually knows the material isn't at an advantage, then why do you need to know these things in the first place.
I ask because I'm leaning toward "recognizing in hindsight the reason behind the structure of the system" is a bias in its own right, though I can't say its been analyzed anywhere, and I don't have enough evidence to definitively say one way or another.
I'm a math grad student, and I also have a larger-than-feasibly-possible, unwieldy mess of information I need to learn, but I don't get the mercy of a multiple-choice exam.
False dichotomy.
Step two to three is lacking in justification.
What? If you truly feel the profession is unethical (and why you would feel this way is not quite clear), pivot into another profession. It's not like everyone has to be a physicist or a construction worker. There are plenty of professions in the world (though perhaps not as many jobs as there used to be, I suppose).
That's why we have SRS, nootropics, expert systems and (ultimately, someday) FAI.
Heh! Math has plenty of "unpredictable detail." Heh.
There's a difference between password-guessing and memorization that I think you've ignored in this... well, for lack of a better word, rant. There's nothing wrong with memorizing facts; there's everything wrong with memorizing the answers to questions.
For instance, at some point a pharmacist needs to memorize that, say, grapefruit juice is contraindicated for some kinds of high blood pressure medicine (or was it cholesterol medicine? I don't know, I'm not a pharmacist.) If we ask them, "What do I need to know about high blood pressure medicine?", the answer "Don't take it with grapefruit juice," isn't a fake answer.
What would be a fake answer is if we were taking a different class of HBP medicine that didn't interact with grapefruit juice, but the pharmacist said "Don't take it with grapefruit juice," anyway on the principle that grapefruit juice interacts with some HBP medicines.
That's probably unclear, but I'm sure someone else will clarify the situation better.
Analogously,
Leo Tolstoy, Anna Karenina, Chapter 1, first line