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类比作为一种推理方法,就是根据两种事物在某些特征上的相似或相同,做出它们在其他特征上也可能相似或相同的结论。类比推理的模式可以简单概括为:A 类事物具有性质 a、b、c、d,B 类事物具有性质 a、b、c,由此 B 类事物也可能具有性质 d.类比在数学思维中的作用主要表现为发现问题、提出猜想、建立模型.欧拉曾经说过,类比是伟大的引路人,他曾多次利用类比的方法做出重大的数学发现.然而,类比推理在所有的推理中是最不严格、最不确定的,它是一种或然推理,其结论正确与否有待实
Analogy as a method of reasoning is based on the similarity or similarity of two things in certain characteristics, making them similar or similar in other features. The pattern of analogical reasoning can be simply summarized as: A class of things has properties a, b, c, d, B class of things have properties a, b, c, and thus class B things may also have properties d. Analogy in mathematical thinking The role is mainly to find problems, make conjectures, and build models. Euler once said that analogy is a great guide, and he has used analogy several times to make major mathematical discoveries. However, analogical reasoning is used in all inferences. It is the least rigorous and most uncertain. It is a kind of contingent reasoning. The conclusion of the conclusion is correct or not.