大约在公元前5世纪,毕达哥拉斯学派的希帕索斯发现了:等腰直角三角形的直角边与其斜边不可通约。这个不可通约量的发现和芝诺悖论一起引发了“第一次数学危机”。希帕索斯正是因为这一数学发现,而被毕达哥拉斯学派的人投进了大海,处以“淹死”的惩罚。因为他竟然在宇宙间搞出了这样一个东西来否定毕达哥拉斯学派的信条:宇宙间的一切现象都能归结为整数或整数之比。毕达哥拉斯学派是古希腊最古老的哲学 Around 5th century BC, Hipparchus of the Pythagorean School discovered that the right-angled side of an isosceles right-angled triangle is incompatible with its hypotenuse. This irreducible discovery triggered the “first mathematical crisis” along with Zeno’s paradox. It was because of this mathematical discovery that Hippas had been thrown into the sea by Pythagoreans and punished by “drowning.” Because he had come up with something in the universe to negate the tenets of the Pythagoreans: everything in the universe can be reduced to the ratio of integers or integers. The Pythagorean school is the oldest Greek ancient philosophy