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在当代众多谈论事件的哲学家中,巴迪欧是唯一一位从数学本体论角度来谈论事件的哲学家。在巴迪欧看来,本体论需要数学上的数元来奠基,而其中的依据正是策梅洛-弗兰克尔公理体系中的奠基公理。在公理体系中,对集合的势的运算和作为集合及其幂集势的差出现的溢出是巴迪欧切入到事件哲学的关键。在巴迪欧看来,事件的数元就是在事件位上,对出现的作为事件痕迹的不可辨识之物,在更高阶的层面的命名,从而将原情势类性延展为一个包含了对事件命名的新情势,这个过程就是巴迪欧事件哲学的原理。
Among many contemporary philosophers who talk about events, Badiou is the only philosopher who talks about events from the perspective of mathematical ontology. According to Badiou, ontology needs mathematical numbers to lay the groundwork, and the basis of which is the groundbreaking axiom in the Zermatt-Frankel axiom system. In the axiom system, the operation of the set potential and the spillover that occurs as the difference between the set and its power set are the key to Badiouchel’s entry into the event philosophy. In Badiou’s opinion, the number of events is the number of events in the event bit, the appearance of the indelible things as signs of events, at a higher level of naming, so that the original situation potential class is extended to include a Event naming of the new situation, this process is the philosophy of Badiou incident philosophy.