Third Week

I'm a bit late in updating my SLOG, but it couldn't be helped since I was quite busy.

It struck me that the Principle of Well-Ordering seems to be "simple." Though when I was trying to use it in the proof, I wasn't sure of how to do so. The problem we did in the lecture ("round-robin") was quite confusing to me, as I cannot exactly remember how it was. Anyhow, I had to re-read the slides for a couple of time to start understanding it. You just need some times to understand it.

The fact that all three priniciples are connected was quite fascinating. I like the idea that if you believe in one principle then you also believe in the other principle (maybe not volunteerily.) By being able to prove that each principle is connected to one another, it really did strengthen the idea. So far, I have more understanding in PSI. Complete induction is useful for some problem that using PSI will be quite painful, especially that postage problem. As I have said, Principle of Well-Ordering is still not very clear to me.

Sometimes you felt like you understand it, but you were actually having no clue about it.