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从经典逻辑到数理辩证逻辑
引用本文:赵总宽.从经典逻辑到数理辩证逻辑[J].毕节学院学报,2008,26(1):45-47.
作者姓名:赵总宽
作者单位:中国人民大学哲学院,北京,100872
摘    要:经典逻辑是现代逻辑发展早期的最基本最重要的成果。它成为现代逻辑进一步发展的基础。现代逻辑的发展表明,经典逻辑既有其适用性,又有其局限性。数理辩证逻辑是在保障其适用性,又克服其局限性基础上发展起来的现代逻辑系统。数理辩证逻辑将现代逻辑适用领域扩展到非直谓性、不确定性和内涵性推理领域。数理辩证逻辑扬弃了源于经典逻辑的逻辑悖论;防止了基于经典逻辑的逻辑怪论。

关 键 词:经典逻辑  数理辩证逻辑  非直谓性推理  不确定性推理  内涵性推理  逻辑悖论  逻辑怪论
文章编号:1673-7059(2008)01-0045-03
修稿时间:2007年9月12日

From Classical Logic to Mathematical Dialectical Logic
ZHAO Zong-kuan.From Classical Logic to Mathematical Dialectical Logic[J].Journal of Bijie University,2008,26(1):45-47.
Authors:ZHAO Zong-kuan
Abstract:The classical logic is the most fundamental and essential achievement of the early development of modern logic,and it becomes the foundation of further development for modern logic.The development of modern logic shows that the classical logic not only has its applicability but also limitations.Ensuring its applicability and overcoming the limitations,the mathematical dialectical logic has been developed as the modern logical system.Mathematical dialectical logic enlarges the applicable fields of modern logic into impredicative reasoning,nondeterminacy and connotation reasoning.Mathematical dialectical logic develops the useful and discards the useless of logical paradox originated from classical logic,preventing strange logical theory basing on classical logic.
Keywords:Classical Logic  Mathematical Dialectical Logic  Impredicative Reasoning  Nondeterminacy Reasoning  Connotation Reasoning  Logical Paradox  Strange Logical Theory  
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