Monday, August 29, 2011

Sections 2.1 and 2.2

1. What was the most difficult part of the material for you?
I struggled to follow the proof of Lemma 2.1.3, which states "The inductive property is equivalent to the well-ordering property." I know we kind of touched on this in class, and I'm sure it's just because it is the first day of school and we're just using a book with new notations for things we did last semester for Abstract Algebra, but this kind of lost me. I think what confused me most, was the beginning of the proof. Like, I'm having a hard time understanding exactly what T and S are, then the proof by contradictions kind of lost me too... Maybe I'll reread it and try to draw it out tomorrow or something.

2. What was the most interesting part of the material?
I know this is probably pretty silly, (well, not to you, since this is your field) but I kind of like Rings and Groups. I remember them pretty well and did think about them over the summer. Not that I thought they'd leave forever, but I didn't think we'd be hitting them so early, and I'm glad we are. But, I'm nervous for Quotient things... oh man. Those were rough on me. But, and I'm not joking when I wrote this, I love modular congruence so much that the chapters in the books I wrote over the summer (the ones with the broken timelines) are numbered so that they are congruent mod 3. In other words, my chapters 0,3,6,9... are along the same timeline, and so are 1,4,7,10, and so are 2,5,8,11... Anyway, it's nerdy, but I thought you'd be proud.

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