论维特根斯坦对哥德尔定理的评析  

Remark on Wittgenstein's Comments on Gdel's Theorem

作　　者：樊岳红[1] 

机构地区：[1]山西大学哲学社会学学院,山西太原030006

出　　处：《洛阳师范学院学报》2017年第10期8-13,共6页Journal of Luoyang Normal University

基　　金：教育部人文社会科学青年基金项目(15YJC720006)

摘　　要：数学哲学的基础问题一直是维特根斯坦所关注的核心领域之一。20世纪30年代哥德尔提出的第一不完备性定理彻底地动摇了数学的逻辑主义、直觉主义和形式主义的基础。在这种背景下,中后期的维特根斯坦对哥德尔第一不完备定理进行了评论,但他的评论却受到了人们广泛的质疑和批评。很大一部分的原因是由于人们误解或误读了维特根斯坦的观点。基于此,在维特根斯坦数学哲学的语境下来分析和理解他的这些评论,并最终阐明其理论特色。The basic problem of the philosophy of mathematics has long been of concern to Wittgenstein. Godel＇ s proposed First Incompleteness Theorem that has thoroughly shaken mathematics of logicism, intuitionism and formalism at 1930s. Wittgenstein commented Godel＇ s First Incompleteness Theorem in his mid-to-late period, but his comments were widely questioned and criticized. This is mainly because people misunderstood or misread Wittgenstein＇ s view. This paper will analyze and interpret his comments in the context of Wittgenstein＇ s philosophy of mathematics, and finally clarify his theoretical features.

关 键 词：维特根斯坦 GIT 数学命题 不可判定 有限论 

分 类 号：N031[自然科学总论—科学技术哲学]