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从结绳计数起,数学就伴随着人类成长。古典数学、应用数学、现代数学的掘起和发展,更使人类对于一切自然界、社会的描述和认识进入了崭新的阶段。人类在对世界的千百万次认识过程中,发现这些数学都是建立在二值逻辑的基础上。数学虽以它的严谨而拔萃于其他科学,但是用它判断和识别任何一种事物时,只能绝对地提供两种可能。从传统的二值逻辑的观点来看,每个概念的外涵和内延必须是清楚的、不变的,每个命题均非“真”即“假”,或非“假”即“真”。
From the count of knots, mathematics is accompanied by human growth. The popularization and development of classical mathematics, applied mathematics and modern mathematics have led mankind into a brand-new stage of description and understanding of all nature and society. During the millions of human knowledge of the world, it is found that these maths are based on binary logic. Although mathematics is distinguished by its rigor in other sciences, it can only provide absolutely two possibilities when it comes to judging and recognizing any kind of thing. From the point of view of the traditional binary logic, the connotation and extension of each concept must be clear and unchangeable. Each proposition is not “true” or “false” or “false” or “true ”.