Mathematical induction
Mathematical induction is the method used in mathematics to prove that any claim is true for all natural numbers. To prove an infinite number of propositions together, we first prove that the first proposition is true, then the next is to prove that the next proposition is true whenever one of the propositions is true. More generally, it can be extended to superfluous induction for all orders of magnitude and extended to structural induction for any underlying relationship. Under certain conditions, mathematical induction is equivalent to the alignment of natural numbers. Mathematical induction, unlike its name, belongs to a deductive argument, not an inductive argument, so it is a clear and rigorous proof. However, when there is no confusion in the meaning, the mathematical induction method is abbreviated to be called induction method.