论阿兰?巴迪欧哲学思想的数学基础

巴迪欧认为数学是本体论，是作为存在之存在的科学。他在现代分析哲学和后期海德格尔思想的基础上熔铸出属于自己的本体论。巴迪欧哲学思想的数学基础主要源于康托尔和保罗·科恩的集合理论。他结合萨特和以维特根斯坦为代表的盎格鲁-撒克逊学派的学说而提出“情境”概念，指事件发生的场所，是具有多元性的场域。他还根据集合与幂集的差异，将结构分为情境与情境状态两种类型，将集合论与哲学进行嫁接，形成独有的哲学思想。巴迪欧认为海德格尔并没有将数学与科学区分开来，而他要做的就是实现对海德格尔反科学主义思想的超越。 

On the Mathematical Foundation of Alain Badiou s Philosophical Thoughts

Badiou considers that mathematics is an ontology and a science of being qua being. Based on modern analytical phi-losophy and later thoughts of Heidegger, he creates his own ontology. The mathematical foundation of Badiou’s philosophical thoughts originates from the set theory of Cantor and Paul Cohen. Integrating the thoughts of Sartre and the doctrine of Anglo-Saxon school represented by Wittgenstein, Badiou proposes a conception of “situation”, which refers to the place that event happens and a field of multiplicity. According to the difference between set and power set, he divides structure into situation and state of situation, and he finally creates his special philosophical thoughts by grafting set theory on philosophy. Badiou reckons Heidegger doesn’t distinguish mathematics from science, while what he engages in is to surpass the anti-science thoughts of Heidegger.