Some people think out loud. Some people don’t. Smart people who think out loud are perceived as “witty” or “clever.” You learn a lot from being around them; you can even imitate them a little bit. They’re a lot of fun. Smart people who don’t think out loud are perceived as “geniuses.” You only ever see the finished product, never their thought processes. Everything they produce is handed down complete as if from God. They seem dumber than they are when they’re quiet, and smarter than they are when you see their work, because you have no window into the way they think.
In my experience, there are far more people who don’t think out loud in math than in less quantitative fields. This may be part of why math is perceived as so hard; there are all these smart people who are hard to learn from, because they only reveal the finished product and not the rough draft. Rough drafts make things look feasible. Regular smart people look like geniuses if they leave no rough drafts. There may really be people who don’t need rough drafts in the way that we mundanes do—I’ve heard of historical figures like that, and those really are savants—but it’s possible that some people’s “genius” is overstated just because they’re cagey about expressing half-formed ideas.
You may be right about math. Reading the Polymath research threads (like this one) made me aware that even Terry Tao thinks in small and well-understood steps that are just slightly better informed than those of the average mathematician.
I was thinking something similar just today:
Some people think out loud. Some people don’t. Smart people who think out loud are perceived as “witty” or “clever.” You learn a lot from being around them; you can even imitate them a little bit. They’re a lot of fun. Smart people who don’t think out loud are perceived as “geniuses.” You only ever see the finished product, never their thought processes. Everything they produce is handed down complete as if from God. They seem dumber than they are when they’re quiet, and smarter than they are when you see their work, because you have no window into the way they think.
In my experience, there are far more people who don’t think out loud in math than in less quantitative fields. This may be part of why math is perceived as so hard; there are all these smart people who are hard to learn from, because they only reveal the finished product and not the rough draft. Rough drafts make things look feasible. Regular smart people look like geniuses if they leave no rough drafts. There may really be people who don’t need rough drafts in the way that we mundanes do—I’ve heard of historical figures like that, and those really are savants—but it’s possible that some people’s “genius” is overstated just because they’re cagey about expressing half-formed ideas.
You may be right about math. Reading the Polymath research threads (like this one) made me aware that even Terry Tao thinks in small and well-understood steps that are just slightly better informed than those of the average mathematician.
I Am a Strange Loop by Hofstadter may be of interest—it’s got a lot about how he thinks as well as his conclusions.