摘要
本文从数的概念起源、数的基础运算和数学的基本特征等方面来解析数学的本质。数的概念来自理性的抽象,现实中来源于可替代物。基础运算中加法是母法则,减法是唯一的分析判断,加减反映了量的连续性。而乘除反映了量的间断性。乘除的二次抽象性无法反映不确定性关系。数学创造力与艺术创造力完全不同。数学演绎中的理性盲点需要经验来弥补。
This article from the concept origin of number,the basic computing of number and basic features of mathematics to resolve the nature of mathematics.The concept of number comes from rational abstraction,reality comes from substitutability.In basic operation,addition is the mother law,subtraction is the only analysis to determine,addition and subtraction reflects the continuity of the amount.Multiplication and division reflects the intermittent of the amount.The second abstract of multiplication and division can not reflect the uncertainty relations.Mathematical creativity is entirely different from artistic creativity.The rational blind spots in mathematical interpretation requires experiences to compensate.
出处
《南昌教育学院学报》
2011年第5期126-127,共2页
Journal of Nanchang College of Education
关键词
可替代性
量
模式
演绎
经验
substitutability
volume
mode
interpretation
experience
