Feynman: How to think 1 of 2 FUN TO IMAGINE 11
Christopher Sykes5 HN recommenders · recommended in 5 months, 2011-2024
388K views · 17 years ago · interview · evergreen
An excerpt from the 1983 BBC series Fun to Imagine in which Richard Feynman describes how he and a mathematician friend counted in their heads in different ways, one verbally and one visually. It shows that people can reach the same goal through quite different mental methods.
HN points to it constantly in threads on inner monologue, visual versus verbal thinking and communication as the classic, entertaining demonstration that minds work differently.
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17 comments from Hacker News
This reminds me of this old Feynman video where he talks about how people use different methods in their heads when counting, seems relevant: ▶ this video
Feynman came up with a potential test by tracking the things he could and couldn't do while counting seconds (via internal monologue). He found he generally count not talk while counting. He then had others try and found that one of his mathematician friends was able to talk just fine while counting because it turned out he was counting visually. ▶ this video
Like Feynman once discovered how different people have different processing architectures, just from the simple act of counting ▶ this video
Relevant bit from Feynman talking about how he found that a simple act of counting in one's head can be different and all its implications. I suggest watching the other videos from the same interview. Lots of fun. ▶ this video
If you have a few minutes spare, you should watch this video of richard feynman, who talks about how he thinks "thinking" happens in people, and how communication is very lossy : ▶ this video i think the fact that you thought a certain way of learning is more appropriate is actually correct - some people learn one way better than another, and that's because in their brain, they model the world in a different way to other people (who also find a different way of learning better). It just so happens that sometimes a person's model happens to suit the sort of teaching method being used in a school, and he ends up looking like a genius.
You'll probably enjoy this video with Richard Feynman about how different people think differently even for something as basic as counting. ▶ this video
"We don't do science for the general public. We do it for each other. Good day." -- Renato Dalbecco, complete text of interview with H F Judson I assume the same applies to mathematics. I can sympathize with the frustration, but at the same time there's frustration from the other end. It takes a very skilled person who can at once describe something with enough detail to be understood by their peers and also be able to describe the same thing with enough preamble to cover and make clear where any obvious inference level gaps are for a layman. You simply cannot understand factorization (to use the example you've given before) without first understanding several things prior. For general literature, it is better to assume readers have the prerequisites and write for them. When there is confusion people can always do their own study and dive down the definition/link chain themselves. For literature aimed at a beginner of the subject matter, it makes sense to be more verbose and search for other analogies, but you still need to start at some base level and build inferences from there. Start too low, and it takes years, start too high, and it's inaccessible on its own. I remember some math concepts became a lot clearer to me when I realized how I could express them as computer programs, but it wasn't something any of my math teachers ever pointed out. It would have been helpful if they had. Still, having understood the concepts in the new way, I would rather use their mathematical
Feynman noticed things similar to this. It's shows a really interesting picture of how different people think things differently. He discusses it here. ▶ this video
i think this comes down to how different people perceive the world in very different ways... ways much more different than we realize. for example, here[1] Feynman talks about being able to count verbally in his mind while reading , but being unable to speak (since he is using his 'speaking' to count). and his acquaintance is able to count visually in his mind while speaking , but isn't able to read (since he is using his 'eyes' to count). [1] ▶ this video
So, whenever I think of the subvocalization debate, I immediately see this video. The basic idea was, do not presume that everyone does the same thing you do in order to achieve the same goal. ▶ this video In other words, I find it hard to believe a claim that subvocalization is required across the board. At least, at an absolute level.
I'm like this too. It's awe-some power, but the downside is that serializing my ideas into language is, in the words of Bjork, "like trying to put an ocean through a straw." It's extreme enough in my case that I often sound completely retarded when speaking. Don't get me started about my many adventures in interview land. -.- Feynman on the distinct modes of thinking that people possess: ▶ this video
This reminds me of an anecdote from Feynman about what sorts of mental things he could and could not do while counting seconds, and how it was different for different people. His counting was internally verbal and he could do anything that didn't require him to speak or anything else that was internally verbal. On the other hand, a mathematician he knew was able to do lots of mental things while counting that Feynman couldn't, and wasn't able to do other mental things while counting that Feynman could, because the other guy counted visually. ▶ this video
Perhaps if I reword that a little you might understand what I mean: link is the subjective experience of the ability to think about things and processes as abstractions. Apple, Airplane, Alphabet, Algebra, Balance, Self, or Obama they all exist as arrangements and connections of neurons in your brain. When a song is stuck in your head that's a physical thing that's happening to a some neurons in your head. But, so is everything else your thinking about. These networks also connect to and build off of other abstractions so ((((peanut) + butter) + Jelly) + Sandwich) is built from more than one of these networks. Try and think of a pile of peanut butter next to some grape jelly. No problem it's brown next to purple. Now try and do that for peanut butter next to a peanut butter and jelly sandwich. Most people feel something odd happen on the second one because they are reusing the peanut butter network for both of those. For me, I can't focus on their colors at the same time. For a great subjective description of this watch: ▶ this video Getting back to Consciousness, it's turning on these abstractions by choice. I want to think about Apple so I activate the Apple network and suddenly experience Apple. And it's the same network as if I had just read the word or saw a physical Apple. Language also get's mapped to this which is part of why philosophers think about thinks like platonic ideals yes there is an ideal Chair it exists and it's the Chair classifier in your head.
One problem is not everyone has imagination--just like there are some photo-memory people there are those with no capability of 'picturing' anything in their mind. Another is that people's mental imagery is probably very different, how can you teach it directly? If the school is good at getting people to discover that mental imagery on their own it will probably work out, but it's hard to teach it to someone who doesn't share it. (I'd love to see some other psychology studies on this, I think I first ran across the view from a Feynman video: ▶ this video )
And with that comment I'd like to share this: ▶ this video Physicist Richard Feynman describes an experience where he and a fellow student visualized the elementary concept of counting in different ways... "What we're really doing is having some big translation scheme going on where we're translating what this fellow says into our images."
I completely agree. First started thinking this way after listening to Feynman talk about his discovery of how people think very differently. ▶ this video He does a great job of communicating this, despite our interpretive differences. (Though perhaps it's just very well spoken for my interpretation and just the opposite for someone else out there.)
This reminds me of a story from Feynman where he was with a math friend and they were trying to multi-task. Yet, they ended up going about the two things (counting for a minute while reading or speaking) in completely different ways. (Different enough that one could only count and talk while the other could only count and read.) ▶ this video