ABSTRACT

This chapter focuses on the Well-Ordering Principle. It turns out that this simple-sounding principle is actually equivalent to the Principle of Mathematical Induction. This means that each principle holds if and only if the other holds. This means that each principle holds if and only if the other holds. No matter what the level of mathematics you are engaging, you should always be ready to look for examples, write down some data, and see if you can find or at least finish off a proof, and so on. Every positive integer larger than 1 is divisible by a prime number. The Well-Ordering Principle implies the Principle of Mathematical Induction.