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Kaj_Sotala comments on Open thread, Nov. 02 - Nov. 08, 2015 - Less Wrong Discussion
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Formal languages require quite a different kind of thinking than natural ones do. It's not just a matter of comparing their complexity.
Unfortunately, there's only one study about the neuropsychology of programming language, but it does contradict your assertion.
Or at least, if it requires a different thinking, that thinking is done with the same area used for natural language.