数学中的证据:哥德尔与胡塞尔  

Evidence in Mathematics: Husserl and Godel

作　　者： 李晽(译) 刘靖贤(译)[2] Dagfinn F?llesdal

机构地区：[1]挪威奥斯陆大学哲学系 [2]辽宁大学哲学与公共管理学院

出　　处：《哲学分析》2019年第4期149-160,199,共13页Philosophical Analysis

基　　金：国家社科基金重大项目“当代逻辑哲学重大前沿问题研究”(项目编号:17ZDA024)

摘　　要：哥德尔的数学哲学从胡塞尔现象学中汲取了重要的洞见。胡塞尔的本质直观方法直接激发了哥德尔对非物质对象的思考。哥德尔将非物质对象把握为经验所与中的结构性因素,但与感性直观类似,这些因素也是被直接给予的,并且是数学证据的来源。哥德尔与胡塞尔都坚持数学证据的可错性,并提出数学中所应有的假设性维度。最后,反思均衡是哥德尔与胡塞尔数学证成观的共同点。G?del adopted great insights in his later philosophy of mathematics from Husserl’s phenomenology.It is Husserl’s method of Wesensschau that inspired G?del’s own thinking on nonphysical objects.G?del takes a nonphysical object as one structural element directly given in experience,which is similar as in the case of an aesthetic intuition and should be taken as the ultimate source of mathematical evidence.However,both G?del and Husserl maintain that the mathematical evidence is still susceptible to fallacies and hence there should be a hypothetical dimension within mathematics.In the end,there is a crucial common ground between the two great philosophers,which is the very method of reflective equilibrium.

关 键 词：本质直观 证据 数学证成 反思均衡 

分 类 号：B80[哲学宗教—思维科学]