Difficult:
I followed the first half of the section well, but as it got more complicated it became more difficult to understand. Plus I am still having troubles understanding exactly what a ring is. What is most difficult to me at this point is keep track of the terminology. I do not remember what it means for a ring to be an integral domain. But for the most part I am able to follow the proofs and understand the overall idea of what is happening. Also, a big difficulty is connecting what is being taught now with the axioms. There are many times when the book references an axiom and I do not know what it is talking about. I need to make sure I memorize them.
Reflective:
I find it fascinating that there is the whole other domain it seems that works almost just like the integers, but in a different way. As I was reading through the proofs it made more sense to my why a ring could behave like the integers. It also continues to fascinate me that everything stays so consistent. Math is one, if not the most consistent fields of study that exists I think. I enjoying reading material when it finally makes complete mathematical sense in my head. Some of these proofs were like that.
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