Pythagoras was also a successful wrestling coach. In fact, he coached the most winningest Olympic athlete of all time: Milo of Croton. Milo won 5 consecutive Olympics over a 20 year period.
Pythagoras himself was thrown out of the boys Olympics at age 16 for being too effeminate (long hair), but then entered the men’s Olympics and won. Supposedly, he introduced some new kind of martial arts technique.
This is documented in Thibodeau, 2019 “The Chronology of the Early Greek Natural Philosophers.” Happy to share the refs. Ok, back to maths…
I searched for "long hair" and found only this:
>The man with long hair at Samos’: They say there was a Samian boxer with long hair who went to Olympia and won after being mocked by his opponents for looking like a woman; he became proverbial. Eratosthenes says that Pythagoras of Samos won with long hair during the 48 th Olympiad; Duris represents this as Pythagoras being excluded, challenging the men, and beating many of them.
Like many stories concerning Pythagoras, I wonder if this was some local fable onto which his name later became plastered.
Clearly Pythagoras would have sick martial arts moves, if they’d ever make a movie about him.
But I tend to think that Pythagoras had an even more incredible life than the legends.
Like my teacher always says: "If at the end of the class, you haven't learned something new, come see me"
The point in any case is that incommensurability as a concept was not widely accepted at the beginning of the 5th century BC and was widely accepted at the end, and the name "Pythagoras" gets attached to the mathematicians who discovered that.
But like for that matter Plato's name wasn't "Plato"; that was a nickname his wrestling coach gave him.