从数学哲学的角度看“柏拉图问题”

The Plato's Problem in the View of the Philosophy of Mathematics

“柏拉图问题”的产生和回答与古希腊和古巴比伦数学哲学密切相关。其形而上学原则的虚幻性使之不可能在原有框架下得到更为精确的回答。在毕达哥拉斯主义和数学经验论尤其是后者的影响下,开普勒改造了“柏拉图问题”,最终解决了行星问题。开普勒数学哲学思想通过其天文学成就对现代科学产生了深远影响。

The origin and the answer of the Plato's problem was related to the philosophy of mathematics. Basing on the old principle,which was imaginary, the astronomers couldn't give an accurate answer .Influencing by the empiricism of mathematics and the philosophy of mathematics of Plato-Pythagroas,Kepler abandoned the old principle ,and reformed the Plato's problem ,finally resolved it.The philosophy of mahematics of Kepler gave a deep effect on the modern science through his astronomy.