
Mathematical Cranks is a book on pseudomathematics and the cranks who create it, written by Underwood Dudley. It was published by the Mathematical Association of America in their MAA Spectrum book series in 1992 (ISBN 0-88385-507-0).
Oh yes! And you can get into trouble trying to engage with logic, because that is not the name of the game.
>I've been perversely interested in this
Me too, and with other crankery. I recommend the book Mathematical Cranks for similar entertainment.
https://books.google.com/books/about/Mathematical_Cranks.htm...
Maybe I am interested in it because you begin to see small reflections of similar behavior everywhere once you start looking for it.
It seems rare at first, but now I think similar thinking is to be found everywhere, on lots of topics. It is really mostly a strident, emotional attachment to a point of view that is not founded on a desire to find the truth.
It is founded on a deep personal association. To deny your personal "truth" would be like tearing down your view of yourself. So instead it must be defended at all costs, which is fine because you already are certain it is "true".
I don't know why someone would make an AI slop fake of old mathematical crankery, but I think that has to be considered as a possibility. Especially given that the formula is being attributed to Dudley, who was actually cataloguing the nonsense of others.
(Also, a conventional Internet search tells me that Dudley was born in 1937, not 1912; and that rather than dying in 2005, he is still alive.)
(Perhaps Cook noticed these things and is too polite to point them out?)