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归纳法是发现真理的一把钥匙.高斯说:“……由于意外的幸运颇为经常,所以用归纳法可萌发出极漂亮的新的真理.”归纳法是研究若干事实,概括出它们共性的一种思想方法.其本质特点是:虽然考察的只是个别现象,但是所得的结论却能超出考察范围,归纳法不仅是一种逻辑推理方法,也是一种科学研究方法,特别是一种科学发现的方法.中学数学中经常使用的有经验归纳法、递推法和枚举法等,都体现了归纳思想.
Induction is the key to discovering the truth, and Gauss said: “... because of the extraordinary fortune of accidents, the introduction of new and very beautiful truths by inductive methods.” Induction is the study of a number of facts that summarize They are a kind of method of thinking in common.Its essential characteristic is: Although the investigation is only an individual phenomenon, but the conclusions can be beyond the scope of the study, inductive method is not only a logical reasoning method, but also a scientific research methods, especially a The method of scientific discovery.Multi-level mathematics commonly used in the experience of induction, recursion and enumeration, etc., all reflect the idea of induction.