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I have to disagree with you on language and cognition. If you went around asking famous mathematicians how they think the last thing they would tell you would be "words".

Creative and inventive thought is very picturesque and non-linear: https://www.amazon.com/Psychology-Invention-Mathematical-Fie...

Also, thanks for the book recommendation. I ordered a copy. Looking forward to digging into it.

FWIW, I don't intend to suggest that all cognition is done in terms of "word language", just an important bit of it.

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