摘要
对数学的本质应该怎样认识,这不仅是数学哲学的一个基本问题,而且是一个具有时代性、前瞻性、发展性、综合性的数学哲学核心问题.对数学本质的认识不应该从传统数学哲学的角度退缩到方法论的一个狭隘的层面,而应该从更广阔的、更为多样的角度进行透视.林夏水先生的“数学是一门演算的科学”的见解,忽略了数学的非演绎性和非算法性,因而无法完全概括数学的本质.在数学深刻的思想与知识变革过程中,“数学是关于模式的科学”的观点是对数学本质的恰当定位.
How should we recognize the essence of mathematics, it was not only a basic issue of the philosophy of mathematics, but also an important thesis related to what kind of view of mathematics education should be established. The outlook that mathematics should be a science of deduction and algorithm which was posed by Professor Lin couldnt be regarded as a satisfied generalization on the essence of mathematics because. In the transformation of mathematical thought and knowledge, the notion that mathematics should be a science of pattern was the suitable description about the essence of mathematics.
出处
《数学教育学报》
2003年第3期37-41,共5页
Journal of Mathematics Education
关键词
本质
林夏水
数学哲学
方法论
定位
演算
the essence of mathematics
deduction and algorithm
pattern
