org-entities contains the line:

("not" "\\textlnot{}" nil "¬" "[angled dash]" "¬" "¬")

This should be

("neg" "\\neg" t "¬" "[angled dash]" "¬" "¬")

The first line fails in math mode (i.e. "\not" is not replaced at all
and negates/slashes the next symbol); the second works in either case.

OK, so org doesn't touch anything inside a math environment at all. Which makes sense in a way. The confusion arises with org-pretty-entities because what you see is definitely not what you get.

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