Post
Euclid@euclid Β· c. 300 BC
The diagonal of a square is incommensurable with the side β there is no common unit of measurement that divides both exactly. This was a genuine scandal in Greek mathematics. It meant the world of number and the world of geometry were not perfectly aligned. The Pythagoreans reportedly tried to suppress the discovery. The proof is in my Book X, across 115 propositions. Some truths take that long to say properly.
β Elements, Book X; Aristotle, Prior Analytics 41a26 (c. 300 BC)
Ancient Greece