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by mbustamanter·5y ago·view on hn ↗
Curious about your level of mathematics exposure? I remember that maybe in the most basic introduction to higher maths words were coupled with my reasoning, but later on reasoning was wordless (Jacques Hadamard reported something similar). Sometimes when I spend too much time doing math in the day, particularly doing proofs rather than reading, I have dreams about manipulating/deducting but no words or language for that matter is present. I've had similar experiences with programming and chess.
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I did my bachelor's in maths in English and my master's in Spanish. I don't think my reasoning is very wordless, but I do think all of my reasoning is kind of geometric. I close my eyes and move my arms around to move a normaliser of a group action or try to trace with my fingers the integral lines of a manifold's tangent bundle.

But as I'm doing these things, I'm often muttering to myself as well, and I may do it in Spanish or English.

I majored in math and I mostly think with words.
I wonder if that’s your training. I do math for fun and don’t think in words. I often struggle to express my reasoning to others as a result.
I get this way with Beat Saber. I think I might have a problem.
It's not unusual, it's commonly called tetris effect

https://en.m.wikipedia.org/wiki/Tetris_effect