论文部分内容阅读
美国著名的数学家、教育家波利亚将推理归纳为论证推理与合情推理两种 .论证推理是可靠的 ,无可置辩的和终决的 ,这种推理精确严密 ;合情推理是冒风险的 ,有争议的和暂时的 ,猜想是合情推理的核心成分 ,缺少严格的论证过程 .这两种推理从不同角度刻划了数学的严肃与活泼的两张
The famous American mathematician and educator Polya has reasoned as reasoning and reasoning reasoning. Reasoning reasoning is reliable, indisputable and final, this kind of reasoning is precise and rigorous; reasonable reasoning is Risky, controversial and temporary, conjecture is the core component of reasoned reasoning, and lacks a strict argumentation process. These two kinds of reasoning describe the solemn and lively two of mathematics from different perspectives.