Section 29 due Nov 16
1. So, at this point, I think I have a pretty good conception of what it means to be countably infinite. That is, that we have some infinite set that is bijective with the natural numbers, i.e. you can count it. The problem then is... I can't think of a set that would be uncountable. I mean you've got unlimited natural numbers so couldn't you assign a unique one and form a bijection with any set? Obviously you can't. Anyway, I'm interested to see how to think about that.
2. I've been reflecting on the EMC2 program and I realized that I'm grateful that we're taking these classes concurrently. I've been surprised at the synergistic effect between them. 290 provides a solid theoretical and conceptual foundation, and then 313 and 495R provide interesting opportunities to apply concepts. I recognize that there hasn't been perfect cohesion between the courses ('cause there never is, I mean they are different courses after all) but over all I think it's been beneficial to take them concurrently.
2. I've been reflecting on the EMC2 program and I realized that I'm grateful that we're taking these classes concurrently. I've been surprised at the synergistic effect between them. 290 provides a solid theoretical and conceptual foundation, and then 313 and 495R provide interesting opportunities to apply concepts. I recognize that there hasn't been perfect cohesion between the courses ('cause there never is, I mean they are different courses after all) but over all I think it's been beneficial to take them concurrently.
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