The knowledge system of mathematics has a few different kinds of structure, logic structure, cognitive structure, structure of teaching materials and teaching structure.
数学知识系统有几种不同的组织结构：逻辑结构、认知结构、教材结构和教学结构，并且都有多种具体表现形式。
This position is in contrast to the Platonist viewpoint, which views mathematics as a unified body of knowledge with an ontological certainty and an infallible underlying structure.
这种立场与柏拉图学派的观点不同。柏拉图学派的观点认为数学作为一个标准化知识体系，拥有存在的确定性和可靠的基本框架。
Firstly, this thesis gives a brief introduction of reasoning and demonstration, and bases on it, analyzes the structure as well. It is: solid basic knowledge of mathematics;
本文首先对推理论证作了概述，在此基础上分析了推理论证能力的结构：牢固的数学基础知识；
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