From what I understand, JVN, Poincaré, and Terence Tao all had/have issues with perceptual intuition/mental visualization. JVN had “the physical intuition of a doorknob,” Poincaré was tested by Binet and had extremely poor perceptual abilities, and Tao (at least as a child) mentioned finding mental rotation tasks “hard.”
I also fit a (much less extreme) version of this pattern, which is why I’m interested in this in the first place. I am (relatively) good at visual pattern recognition and math, but I have aphantasia and have an average visual working memory. I felt insecure about this for a while, but seeing that much more intelligent people than me had a similar (but more extreme) cognitive profile made me feel better.
Does anybody have a satisfactory explanation for this profile beyond a simplistic “tradeoffs” explanation?
Edit: Some claims about JVN/Poincare may have been hallucinated, but they are based at least somewhat on reality. See my reply to Steven
Oh I was actually hoping you’d reply! I may have hallucinated the exact quote I mentioned but here is something from Ulam: “Ulam on physical intuition and visualization,” it’s on Steve Hsu’s blog. And I might have hallucinated the thing about Poincaré being tested by Binet, that might just be an urban legend I didn’t verify. You can find Poincaré’s struggles with coordination and dexterity in “Men of Mathematics,” but that’s a lot less extreme than the story I passed on. I am confident in Tao’s preference for analysis over visualization. If you have the time look up “Terence Tao” on Gwern’s website.
I’m not very familiar with the field of neuroscience, but it seems to me that we’re probably pretty far from being able to provide a satisfactory answer to these questions. Is that true from your understanding of where the field is at? What sorts of techniques/technology would we need to develop in order for us to start answering these questions?