摘要
本文根据恩格斯关于数学的论述和数学发展的实际,对数学的本质作初步的探讨,提出如下的看法:(1)数学的对象仍是现实世界的空问形式和数量关系.但有必要作广义的理解;(2)数学研究是对摹写现实的思想材料的形式化抽象和逻辑再造,思维性对象, 形式化抽象和逻辑的方法,这就是效学研究的本质特性.
This article inquires into the essence of mathematics according to Engel’s exposition about mathematics and the actual development of mathematics, and holds the following views: (1) The object of mathematics are still the space form and quantitative relation in the realistic world, but it must be understood in a broad sense; (2)The essential characteristics of the mathematics studies are the formalized obstraction and logical reconstruction of the thinking materials depicting the reality.
作者
蔡菊苏
Cai Jusu(Department of Mathematics)
关键词
抽象思维
纯粹形式
逻辑再造
数学
obstract thought
pure form
formalized abstraction
logical reconstruction
