Yes, like Max Tegmark, they believed the world was made of math. Where harmony means wholeness, they believed in harmonies in numbers (1+2+3+4=10), harmonies in numbers in space (geometry), harmonies in numbers in time (musical ratios) and harmonies in numbers in space and time (astronomy; harmonies of the spheres).
They also conducted the first hypothesis driven experiment in western science when they cast bronze chimes with corresponding ratios of thickness (1:2, 2:3) to see if the pythagorean tuning of strings was a generalizable property.
Plato extended pythagoreanism to make the world of math into the world of pure forms—a universal, immortal realm. He also continued the esoteric tradition of the pythagoreans, who had to keep their practices secret because they kept getting slaughtered.
It's just the best history. Pythagoras was also gender inclusive—not only were there many female pythagorean philosophers, he also (according to aristoxenus) openly credited his moral doctrines to Themistoclea. For integrating science and spirituality at the start of western civ, pythagoreanism is pretty much the coolest.
They also conducted the first hypothesis driven experiment in western science when they cast bronze chimes with corresponding ratios of thickness (1:2, 2:3) to see if the pythagorean tuning of strings was a generalizable property.
Plato extended pythagoreanism to make the world of math into the world of pure forms—a universal, immortal realm. He also continued the esoteric tradition of the pythagoreans, who had to keep their practices secret because they kept getting slaughtered.
It's just the best history. Pythagoras was also gender inclusive—not only were there many female pythagorean philosophers, he also (according to aristoxenus) openly credited his moral doctrines to Themistoclea. For integrating science and spirituality at the start of western civ, pythagoreanism is pretty much the coolest.