Résume | My lecture deals with the development of the mathematical quadrivium – geometry, arithmetic, astronomy and mathematical harmonics – in the Pythagorean school in the 6th-4th centuries BC. Relying mostly on the fourth-century sources, I will try to establish the individual links in the chain of scientific discoveries linking Pythagoras with Ionian geometry and astronomy (Thales, Anaximander) on the one hand, and on the other with Pythagorean mathematics (Hippasus, Theodorus, Archytas). |