Section 13

This section was a little tricky to understand, but I think I got the gist of it. One thing that I had a hard time with was warning 13.8. I understand cognitively that P(k) cannot equal a number or a part of a statement, but I'm not sure how I would prevent myself from potentially doing that and writing an incorrect statement. I think once I have someone explain to me in English what P(k) actually represents then I'll be able to visualize the concept better and know what I'm writing.

Induction seems pretty straightforward and handy for proofs. Basically it says if something works for a natural number, then and then it works for the next natural number, you can replace the first natural number with the second one, and prove the third once by using the already proved definition, and so on. All in all it's a pretty useful concept.

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