When you’re reading and you feel yourself learning something, what do you do next?
Example: I started “Manufacturing Consensus”, a book among other things about how bots might upvote content on social media as part of a propaganda campaign. On the first page I got to the sentence, “From his chair, he recruits people across multiple social media sites to essentially rent out their profiles for money.”
This isn’t too groundbreaking for me. But the word “rent” is new. I hadn’t pictured that part of the market, that a social media profile might simply rent itself out, as opposed to being hacked.
So what I do next is… something else?
This is not great and I feel a tension here. Reading forward is simply wrong. I need to actually absorb what I just learned. Take a walk for instance. But taking such a break defeats my rote ideas of productivity and I might pick up a video game or music video or something, and the bigger problem is I lack an internal clock telling me when the break has sufficiently happened, and to go back to the next task of some sort.
Just looking for opinions on how people manage these moments, both giving themselves space to think and slowdown but also minding the overall focus level.
Oh also—when I’m under work time pressure, yeah I’ll bulldoze through these things. I don’t know if this means I’m artificially slow when not under time pressure, or artificially shallow when under time pressure.
Here’s a phenomenon I was surprised to find: you’ll go to talks, and hear various words, whose definitions you’re not so sure about. At some point you’ll be able to make a sentence using those words; you won’t know what the words mean, but you’ll know the sentence is correct. You’ll also be able to ask a question using those words. You still won’t know what the words mean, but you’ll know the question is interesting, and you’ll want to know the answer. Then later on, you’ll learn what the words mean more precisely, and your sense of how they fit together will make that learning much easier.
The reason for this phenomenon is that mathematics is so rich and infinite that it is impossible to learn it systematically, and if you wait to master one topic before moving on to the next, you’ll never get anywhere. Instead, you’ll have tendrils of knowledge extending far from your comfort zone. Then you can later backfill from these tendrils, and extend your comfort zone; this is much easier to do than learning “forwards”. (Caution: this backfilling is necessary. There can be a temptation to learn lots of fancy words and to use them in fancy sentences without being able to say precisely what you mean. You should feel free to do that, but you should always feel a pang of guilt when you do.)
When you’re reading and you feel yourself learning something, what do you do next?
Example: I started “Manufacturing Consensus”, a book among other things about how bots might upvote content on social media as part of a propaganda campaign. On the first page I got to the sentence, “From his chair, he recruits people across multiple social media sites to essentially rent out their profiles for money.”
This isn’t too groundbreaking for me. But the word “rent” is new. I hadn’t pictured that part of the market, that a social media profile might simply rent itself out, as opposed to being hacked.
So what I do next is… something else?
This is not great and I feel a tension here. Reading forward is simply wrong. I need to actually absorb what I just learned. Take a walk for instance. But taking such a break defeats my rote ideas of productivity and I might pick up a video game or music video or something, and the bigger problem is I lack an internal clock telling me when the break has sufficiently happened, and to go back to the next task of some sort.
Just looking for opinions on how people manage these moments, both giving themselves space to think and slowdown but also minding the overall focus level.
Oh also—when I’m under work time pressure, yeah I’ll bulldoze through these things. I don’t know if this means I’m artificially slow when not under time pressure, or artificially shallow when under time pressure.
Here’s advice to the contrary from Ravi Vakil for potential PhD students: