Mathematical Induction (Part 3)
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Lesson Description:
Learn about strong mathematical induction, the well ordering principle, and Fermat's method of infinite descent. Two famous proofs are also presented.
Questions answered by this video:
- What is principle of strong or complete mathematical induction?
- What is Fermat's method of infinite descent?
- What is the well-ordering principle?
- How can you prove that any natural number k > 1 is either prime or the product of primes?
- How can you prove that the square root of 2 is irrational?
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Staff Review
This lesson finishes off this series of lessons with strong mathematical induction. Also discussed are Fermatâs method of infinite descent, the well ordering principle, the proof that any natural number k > 1 is either prime or the product of primes, and a very unconventional proof that the square root of 2 is irrational using the method of infinite descent. A very interesting lesson on proof.
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