I'm still working on the assignment.. so I'm going to have to keep this entry short.
Firstly, problem set 2 was nice and simple, in my opinion. The first part was very similar to what we had done in class. Compared to the simple induction method we saw last year in 165, this one was very different, yet it still made so much sense. I would have never thought up this sort of solution on my own though. I just used logic to explain the second part. Hopefully what I did was alright.
We looked at how the Principle of Well-ordering and the two different types of induction were equivalent this week. I understand some parts, but not all of it yet. The example in the book didn't seem to help me either. I'll take a look at it after the assignment. We also dealt with simple induction with bases that were larger than 0 and examples of improper proofs. I had no trouble with bases greater than 0, but I did have a little bit of trouble spotting some of the errors in the proofs we looked at on Friday, particularly the hexagon one.
In any case, I was more comfortable with this week's material than the last. I guess I'm still a bit edgy with complete induction. I'll do more practice after the assignment, which I am quite a bit behind on at the moment. Sorry for any incoherences as I am rushing through this entry so I can continue working on A1.