摘要
模糊逻辑延续了多值逻辑对二值原则的扩张态度,基于模糊逻辑构造出的模糊集合论,能够从形式主义的角度解决罗素悖论。哈耶克提出的基本模糊逻辑系统将几种多值逻辑系统作为其扩张来处理,为这样的构造奠定了基础。由此产生的公理化模糊集合论、模糊类理论和朴素模糊集合论对罗素悖论都有不尽相同的回应。
Fuzzy logic holds the extensional attitude of many-valued logic towards the principle of bivalence.Fuzzy set theory based on fuzzy logic can solve Russell’s paradox from the perspective of formalism.The basic fuzzy logic system proposed by Hájek treats several many-valued logic systems as it extensions,which lays the foundation for such a construction.The resulting axiomatic fuzzy set theory,fuzzy class theory and nave fuzzy set theory have different responses to Russell’s paradox.
作者
杨帆
YANG Fan(Faculty of Philosophy, Nankai University, Tianjin 300350, China)
出处
《重庆理工大学学报（社会科学）》
2021年第6期62-69,共8页
Journal of Chongqing University of Technology（Social Science）
基金
国家社会科学基金重大项目“面向自然语言理解的逻辑构建和符号接地问题的哲学、心理学研究”(18ZDA032)。
关键词
模糊集合论
罗素悖论
多值逻辑
模糊逻辑
数学哲学
fuzzy set theory
Russell’s paradox
many-valued logic
fuzzy logic
philosophy of mathematics
