无限即为真——巴迪欧无限理论论要

To Be Infinite Is to Be True: On Alain Badiou's Infinity Theory

巴迪欧批判以往的存在论把无限置于作为本质的"一"的统治之下,赋予潜无限以神性,主张平常化的实无限。亦即:无限应建基于虚空,以无限多的集合形式,建构自然的无限;无限既通过序数、基数表达极限理论或普遍形式,又表达无限数量的各类无限之间的差异与非连续性;无限需要在"已经"与"更多"的辩证关系中,通过"他者""第二生存标记"等,不断达至真理。巴迪欧的无限理论回归到现实的、平常的自然世界,充满多元性和偶变性,蕴含真理精神,有人类学、政治学等方面的意义。

Alain Badiou criticizes ontology for putting the infinite under the control of‘One',endowing the potential infinity the divine,therefore,he suggests to recover real infinity to be banal. Concretely speaking,infinity should start from void and construct the natural infinity with infinity set.Then,infinity is not merely general form with the expression of ordinal and cardinal,but also the distinguishing and discontinuity among various types of infinity with different infinity number. Furthermore,among the dialectical relationship between‘already'and‘still more',infinity comes constantly to be truth through‘Others',‘the second existence seal'alike. Therefore,Alain Badiou's infinity,returning to the banal and real world of nature and being full of pluralism and changeable,contains the spirit of truth with the influence of anthology and politics.