即便我们的归纳证明不能依赖纯粹的推理，对于归纳法实用主义的论证尝试也会得以体现。
And the Pragmatic Justification of induction attempt have been made to show that even if we cannot justify relying on induction by pure reason.
数学归纳法是数学中常常用到的一种证明方法，最常见而最为人们所熟知的归纳途径是简单的有向路。
The mathematical induction is a method of proof often applied in mathematics. The most common and the most famous inductive way is the simple directed path.
数学归纳法推理是典型的三段论，而不是完全归纳法，其基础是自然数列的性质，而不是逻辑公理。
Mathematic induction is a typical syllogism, it is not complete induction, its base is the property of natural sequence, but not logic axioms.
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