I thought that Theorem 3.12 was pretty confusing. I wasn't able to follow the proofs very well. Hopefully they will make sense tomorrow in class.
I thought that the concept of isomorphisms and homomorphisms was very interesting. I particularly liked the analogy that they drew to Roman Numerals. I took Math 300, The History and Philosophy of Math, and we explored a lot of different numeral systems. I mean any different numeral system, or more abstractly, language systems are isomorphisms, very interesting stuff.
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