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induction
Proof by Induction
This page will use a small amount of information from the chapter on Set Theory. It is not required, but understanding sets might be helpful to get how induction works.
Last updated on Jul 4, 2023
The Well Ordering Principle
Smallest Numbers Consider the natural numbers $\mathbb{N}$, what is the smallest number? Clearly the answer is $0$, as it is smaller than every positive number, and there are no negative numbers in $\mathbb{N}$ so it must have $0$ as the smallest.
Last updated on Jan 13, 2024