The mystic of mathematics. He declared that Number is the fundamental substance of the universe, blending mathematical discovery with spiritual purification of the soul.
Born on Samos, he emigrated to Croton in southern Italy and founded a semi-religious, semi-scholarly community. The order observed strict rules and venerated number as the highest truth and sacred reality. Legend holds that his disciple Hippasus was drowned for discovering irrational numbers, which shattered the sect's faith in integer proportions.
Pythagoras held that "all is number," asserting that the ultimate order of the cosmos is governed by mathematical proportion and geometric ratio. He discovered the harmony of musical intervals through string-length ratios and extended this principle to the heavens, claiming that planetary motions produce a celestial "music of the spheres." The world is a self-consistent formal order of symmetry and harmony, and the immortal soul undergoes transmigration according to mathematical law.
"Number rules the universe. All things are constituted by proportion; the true nature of the world is order and harmony."
当代弦理论和量子力学极其依赖精密的数学方程，这是否证明了毕达哥拉斯神圣崇拜‘数’在某种意义上是正确的？数学是由人类发明的主观工具，还是客观存在于宇宙底层的终极实在？
Pythagoras explained cosmic structure through geometric proportions and the diversity of numbers. Parmenides pushed this to its extreme, declaring that numerical diversity is illusory and only the abstract, complete, ungenerated, and indivisible One (Being) is truly real.
Is reality a symphonic order woven from diverse mathematical proportions, or does all diversity dissolve into a single, motionless One?
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