试论黑格尔对数学的批判及其哲学根据  

On Hegel’s Critique of Mathematics and Its Philosophical Basis

作　　者：张桂权[1] ZHANG Gui-quan(Faculty of Philosophy,Sichuan Normal University,Chengdu 610068,China)

机构地区：[1]四川师范大学哲学系,成都610068

出　　处：《科学技术哲学研究》2021年第1期28-33,共6页Studies in Philosophy of Science and Technology

基　　金：国家社科基金2019年度西部项目“玻姆自然哲学著作的翻译与研究”(19XZX004)。

摘　　要：西方哲学有与数学结盟的强大传统,但黑格尔是西方哲学家中的异类,他尖锐地批判数学。文章分三部分。文章首先交代了西方哲学的强大数学传统,这是黑格尔批判数学的背景;其次,深入分析了黑格尔对数学的批判,包括他对数学证明、数学洞见、数学自明性的批判;最后,讨论了黑格尔的量的观点,作者认为这是黑格尔批判数学的哲学根据。Western philosophy has a strong tradition which is in alliance with mathematics,but Hegel is considered alien from the other Western philosophers.He sharply criticized mathematics.The article is divided into three parts.Firstly,the article explains the powerful mathematical tradition of Western philosophy,which is the background of Hegel’s critique of mathematics.Secondly,it deeply analyzes Hegel’s critique of mathematics,including his critique of mathematical proof,mathematical insight and mathematical self-evidence.Finally,it discusses Hegel’s viewpoint of quantity,and the author believes that this is the philosophical basis for Hegel’s critique of mathematics.

关 键 词：黑格尔 数学 批判 

分 类 号：N02[自然科学总论—科学技术哲学]