1. Most of the things in this chapter are self-explanatory, they're just an extension of logic. The characterization threw me a little for a loop. The example that it gives in the book is that the the statements: A triangle T is equilateral if and only if T has three equal sides. It states that this is not a characterization but a definition. I'm not sure what the difference is. If we had defined an equilateral triangle as a triangle with three equal angles, then would this statement be a characterization?
2. This semester I'm also in a programming class for engineers and the logic that we have been learning is the exact same as all the logic used in writing code. This is super neat to me because all of the logic and the not statements etc. are all of a sudden actually useful to me instead of just for use of proving higher math (which I'm not planning on taking).
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