The Second Principle of Mathematical Induction

This video introduces the Second Principle of Mathematical Induction, also called "strong induction," and uses it to prove exercise 13 in Section 5.4, that every (positive integer greater than 1 is either prime or can be written as a product of prime numbers. (The videos define ℕ to be the set of all positive integers.) The proof in the video is similar to the proof in Example 5.4.1, that every positive integer greater than 1 is divisible by a prime number.

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