Frege＇s Result： Frege＇s Theorem and Related Matters  

作　　者：Hirotoshi Tabata 

机构地区：[1]University Education Center、 Tottori University, Tottori Japan 680-8551

出　　处：《Frontiers of Philosophy in China》2012年第3期351-366,共16页中国哲学前沿（英文版）

摘　　要：One of the remarkable results of Frege＇s Logicism is Frege＇s Theorem, which holds that one can derive the main truths of Peano arithmetic from Hume＇s Principle （HP） without using Frege＇s Basic Law V. This result was rediscovered by the Neo-Fregeans and their allies. However, when applied in developing a more advanced theory of mathematics, their fundamental principles--the abstraction principles--incur some problems, e.g., that of inflation. This paper finds alternative paths for such inquiry in extensionalism and object theory.

关 键 词：Frege＇s Theorem Neo-Fregeans abstraction principles extensionalism object theory 

分 类 号：C[社会学]