1) The hardest part for me to understand was the proof of theorem 7.34. But even then, it's not too bad. I think it will be made much more clear in class.
2) I am hoping that in class we can see a lot more examples of this section. And also, I am just wondering how this has application in the real world, or if it even does. Sometimes in this class it just seems like a bunch of mathematicians got together and decided on a bunch of definitions of "abstract" objects and then played around with them based on the definitions and axioms that were pre-determined. Is that true? It seems somewhat like a game.
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