从经典逻辑到数理辩证逻辑  

From Classical Logic to Mathematical Dialectical Logic

作　　者：赵总宽[1] 

机构地区：[1]中国人民大学哲学院,北京100872

出　　处：《毕节学院学报（综合版）》2008年第1期45-47,共3页Journal of Bijie University

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。The classical logic is the most fundamental and essential achievement of the early development of modem logic, and it becomes the foundation of further development for modem logic. The development of modem 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 modem logical system. Mathematical dialectical logic enlarges the applicable fields of modem 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.

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 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] N031[自动化与计算机技术—控制科学与工程]