标题： 数学和数学。 关于阿尔ain·巴迪欧哲学的主要概念 显示英文标题

标题： Matheme and mathematics. On the main concepts of the philosophy of Alain Badiou

摘要： 在本文中，我提出了对阿尔ain巴迪欧事件哲学中所使用的数学论证的批判性讨论。 基于《存在与事件》及其其他著作，我分析了他哲学中的主要概念，如不可辨识者、不可决断者和不可命名者。 我的分析重点在于这些概念的数学一致性及其哲学后果。 我认为巴迪欧所发展的数学方法存在严重缺陷，因此它无法作为《存在与事件》中所提出的事件概念的本体论基础。 显示英文摘要

摘要： In this paper, I present a critical discussion of mathematical arguments employed in the philosophy of event of Alain Badiou. On the basis of "Being and Event" as well as his other writings, I analyze the main notions of his philosophy such as the indiscernible, the undecidable, and the unnameable. The focus of my analysis is both on their mathematical consistency, and their philosophical consequences. I argue that the mathematical approach developed by Badiou is seriously defective, and, as a result, that it cannot serve as an ontological basis for the concept of event as presented in "Being and Event".