逻辑悖论视角下的语义信息论研究  

Research on Semantic Information Theory from the Perspective of Logical Paradox

作　　者：陈智斌 CHEN Zhibin(School of Philosophy and Social Development,South China Normal University,Guangzhou 510631,China;Institute of Computer Science,Guangdong Polytechnic Normal University,Guangzhou 510665,China)

机构地区：[1]华南师范大学哲学与社会发展学院 [2]广东技术师范大学计算机科学学院

出　　处：《现代信息科技》2019年第20期196-198,共3页Modern Information Technology

基　　金：国家社会科学基金一般项目：语义悖论的可容许模型研究（项目编号：19BZ X136）

摘　　要：卡尔纳普等人提出的语义信息论旨在从语义方面考察语句所带有的信息,但矛盾式在该理论中有无穷大的信息量因而与直观不相符。上述语义信息论问题从悖论的角度被加以探讨。在算术语言中证明了,悖论语句的语义信息在基于经典逻辑的语义信息理论中是不可定义的,以此说明经典逻辑对语义信息论研究的限制,并倡导以逻辑多元主义研究语义信息论。The semantic information theory proposed by Rudolf Carnap et al. aims to measure the information contained in the sentences from the semantic aspect,but the contradiction in the theory has infinite amount of information,so it is inconsistent with the intuition. From the aspect of semantic paradox,the above problem in semantic information theory is discussed. It is proved in arithmetic language that the semantic information of paradoxical sentences is undefinable in the semantic information theory based on classical logic,so as to explain the limitation of classical logic in the research of semantic information theory,and advocate the study of semantic information theory by logical pluralism.

关 键 词：语义信息 语义悖论 经典逻辑 逻辑多元主义 

分 类 号：O236[理学—运筹学与控制论] G201[理学—数学]