经典数学悖论的语用学解读  

A Pragmatic Analysis on the Classical Mathematical Paradox

作　　者：王习胜[1] 

机构地区：[1]皖西学院政法系,安徽六安237012

出　　处：《皖西学院学报》2008年第4期1-5,53,共6页Journal of West Anhui University

基　　金：安徽省教育厅人文社会科学研究项目"逻辑悖论的应用研究"(2008sk266);教育部人文社会科学研究规划项目"广义逻辑悖论方法论与科学理论创新研究"(06JA720022)

摘　　要：希帕索斯悖论、贝克莱悖论和罗素悖论是数学发展史上的经典悖论。这些曾经引发数学"危机"的悖论都是从特定数学共同体"公认正确的背景知识"中合乎逻辑地推导出来的。创新由以导致悖论的相应的"背景知识"是消解这些悖论的共同路径。经典数学悖论的发现、分析和消解研究,对于科学理论悖论的研究具有方法论的意义。Hippasus＇s paradox and Berkeley＇s paradox and Russell＇s paradox are the classical paradoxes in development history of mathematics. These paradoxes which brought crises to mathematics have been deducted from the ＂acknowledged correct background knowledge＂ of cognitive community in specific scopes, Innovating to the ＂background knowledge＂ that has deducted these paradoxes is the common orientation of resolving the classical mathematical paradox. It has an important methodological meaning that probe into the process of discovering and analyzing and resolving the classical mathematical paradox for study on the paradoxes in scientific theories.

关 键 词：悖论 数学悖论 科学理论 方法论 语用学 

分 类 号：O144.2[理学—数学]