Part I: What was the most difficult part of the material for you?
I don't really understand why [a,b] + [c,d] = [ad+bc, bd] in this section because in my mind, I would think it should be [a,b] + [c,d] + [a+c, b+d] but it is not even close to that. So why not?
Part II: Write something reflective about the reading.
I see how the field F and the integral domain R relate to the rationals and the reals, but I am wondering how any of this stuff came up. Why would someone want to find something that is isomorphic to the rationals and reals when we have them already? I know I probably can't get an answer unless I studied more math, but it is something I am thinking about.
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