Section 31 due Nov 19
1. So, these last two sections probably been the hardest for me to understand. I wasn't the greatest at set theory to begin with, and now that we're throwing in infinite sets and uncountable sets it seems to be even harder. My main question is what was that weird "F" character they threw in there at the last second? That they used to prove that the power set was Aleph one?
2. So, my question still stands, what are the practical uses of this sort of set theory? Although it is an interesting intellectual exercise to prove these things different set sizes, sometimes, especially when it's frustrating to wrap your mind around the proofs, one can lose motivation to finish the mental exercise. Also, how often are these sorts of proofs used in mathematics? and in what fields? I'm not sure if I'm supposed to ask questions in this section of the blog post but I guess I am. Maybe I'll do some research on the applications of set theory.
2. So, my question still stands, what are the practical uses of this sort of set theory? Although it is an interesting intellectual exercise to prove these things different set sizes, sometimes, especially when it's frustrating to wrap your mind around the proofs, one can lose motivation to finish the mental exercise. Also, how often are these sorts of proofs used in mathematics? and in what fields? I'm not sure if I'm supposed to ask questions in this section of the blog post but I guess I am. Maybe I'll do some research on the applications of set theory.
Comments
Post a Comment