Test post please ignore. Just kidding. This is my first time "blogging" and honestly I'm just doing because it's required. Who knows though, I might even come to enjoy this process. Anyway, I'm Jiawei (Calvin) Wei, first year at University of Toronto. The first week was a bit of a blur since I wasn't really sure what the content would be about. It turns out that it's mostly logic reasoning, something I remember learning in high school JAVA classes. I guess the class is mostly to help us transition into CS content, such as writing if/else structure coding, or the reasoning behind try/catch blocks. I did learn a lot of this before, but never really looked at this subject in depth. I found the class lectures confusing until some basic rules were explained.
1. For universal claim to be true, all cases must be verified.
2. To prove it false, only one counterexample is needed.
3. For an existential claim to be true, only one example is needed.
4. To prove it false, it must be shown that no examples exist.
My main difficulty with this was that it was explained through functions in Python, something we hadn't gone over in 108 at the time. After these rules were explained the examples became much easier. Then were began to cover "if P then Q" relationships. I thought before that I understood such a simple relation. It turns out that it becomes much more complicated when you consider converses and contrapositives. Essentially:
1. "If P then Q" can only be false if P is true and Q is false
2. Reverse of that statement is contrapositive, "Not Q then not P"
3. If Q is true, P isn't necessarily true
Also from the tutorial session, the main thing I learned was that the negation of universal or "all" claims is an existential or "some" statement and vise versa.
So this blog post is mostly an intro with stuff I learned so far, not sure if I did it properly and I know for a fact that the formatting is off but hey, that just leaves room for improvement right?
