I like the comparison of prime numbers to atoms. I've never thought about them like that before.
I'm curious if the proofs of these theorems are more, less, or equally important as the theorems themselves. Normally I think of proofs as a means to demonstrate why we can use an idea. However, this class has been so proof-oriented that it makes me wonder if we are supposed to be gaining more from the theorems or from their proofs. Or maybe we are supposed to be gaining intuition about the types of things we can use proofs for, or why it is important that we can prove things.
I don't understand how example 19.12 was derived as an example of canonical factorization. It doesn't seem to fit the definition...
19.14 is interesting.
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