Saturday, September 15, 2018

Section 6 due 17 September

This section alternated between clever tricks for solving proofs and inherently obvious observations about mathematics (see definitions 6.1 and 6.2). Parts reminded me of this xkcd post. However, I liked the solutions to finding whether or not the premise is true. That is not how I would have approached that type of problem. See proposition 6.20.

I learned about the fundamentals of proof at the Prove It! Math Academy camp I went to. It is nice to dive back into the same material. Different parts of proofs are emphasized differently in the textbook, classroom, and math camp. It is intriguing to see the similarities and differences between how all mathematicians approach teaching and solving the same concepts. Also, the camp made the word "trivial" into a running joke (sort of by accident), so I have lots of fun memories associated with that word!

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