This week proved to be very productive, not only was I able to complete my exercise before the due date, but I was able to obtain help of implication issue; thanks Danny that comment & office hour was tremendously helpful and I now feel I have a strong chance in tackling implications.
We started this week off with the Vacuous Truth to present the rule "iff P is False or Q is True" does the implication evaluate to true or sometimes called "vacuously true" when P is False from the start. I found this to be quite straight-forward. However, the next topic Equivalence was quite confusing, where
"Every male employees earn between 25000 and 45000"
was presented. This was the area I didn't quite understand, I believe the class' answer was False, but I evaluated this to be True... I plan to get help with this tomorrow (but for those reading this I wouldn't mind a comment). On the other hand I believe I understood
"For all x belonging to Real, x^2 - 2x + 2 = 0 <=> x > x + 5"
... since the left is False the forward direction is True, and since the right is False the converse is True making an equivalence.
The last slide over this week that presented me trouble was Symbolic Idiom/Restricting Domains, I didn't understand the difference between,
"For all x belonging to D, P(x) => Q(x)" and "For all x belonging to D, P(x) ^ Q(x)"
But overall, this third week went relatively well and I look forward to the fourth week.
Sunday, January 24, 2010
Monday, January 18, 2010
CSC165: SLOG - Quantification, Symbols --------------[ Week 2 ]
In the beginning of this week, universal quantification was being discussed and I felt everything was going well. I understood what was written on the slides, what was being taught etc. For example, the ideas of existential & universal quantification, where "Every" would refer to the entire specified set and "Some" or "There is" being at least one within the specified set. I was also able to understand the idea of the Venn diagram, and symbols such as L compliment being the consideration of everything other than those within L. However, all was going well until we entered implications. I understood the examples in the handout/readings of chapter 2, but when it came down to the questions provided in #2 of exercise 1, it completely threw me into a tangent.
What troubled me the most of #2 was how I was suppose to figure out what the antecedent (P) and consequent (Q) is... I attempted to ask for advice from some of my classmates, but the ones I spoke to had issues on this as well. I then went to the CSSU and asked for advice, but they told me there isn't a straight forward way to solving questions like these and said that you had to "reason it out". This didn't exactly aid me in my struggle to figuring out a method of finding P & Q.
I understood the concept of the rule "iff P is False or Q is True" would imply the implication to be true and hence, I was able to figure out #3 without much effort. The rule also applies to #2 as I had already realized for providing a counter example, by showing that P is True and Q is False, and with this I'm currently trying to solve the questions in #2 by attempting to find a counter example. The counter example should allow me to figure out what P and Q are... and hopefully before the due date of this exercise.
What troubled me the most of #2 was how I was suppose to figure out what the antecedent (P) and consequent (Q) is... I attempted to ask for advice from some of my classmates, but the ones I spoke to had issues on this as well. I then went to the CSSU and asked for advice, but they told me there isn't a straight forward way to solving questions like these and said that you had to "reason it out". This didn't exactly aid me in my struggle to figuring out a method of finding P & Q.
I understood the concept of the rule "iff P is False or Q is True" would imply the implication to be true and hence, I was able to figure out #3 without much effort. The rule also applies to #2 as I had already realized for providing a counter example, by showing that P is True and Q is False, and with this I'm currently trying to solve the questions in #2 by attempting to find a counter example. The counter example should allow me to figure out what P and Q are... and hopefully before the due date of this exercise.
CSC165: SLOG - Introduction [ Week 1 ]
When I first walked into this new class room, I felt a feeling of dissatisfaction, mainly because of the small desks and seats provided, and what made it worse was the projector only covering half of the white board. However, after a quick introduction over the materials that this course covers, I instantly gained interest, seeing how it applied to all these specialists such as graphics, artificial intelligence, numerical analysis, networking and so on. I also found the summary slide of what each specialist follows into to be very helpful in foreshadowing what is to come in those fields.
(example: Graphics --> linear algebra, multi-dimensional calculus)
When the technician arrived to fix the projector and Danny teasing and indirectly insulting them (from my perspective) for not fixing it earlier. He reminded me of my grade 11 computer science teacher, who was one of the strongest influence of my decision into the field of computer science. A teacher with a bold and unique personality is usually signs of the best in my books. However, it's too early to judge and hence I continued to hold my dissatisfied feelings in my sub-conscious (not sure how else to describe it...).
Before the end of this week, I believe I had acquired some solid understanding of what some of this course was about, and hence in my mind I dubbed thee
"English Computer Science!" (for now...)
;) lol. [slightly informal for first week]
(example: Graphics --> linear algebra, multi-dimensional calculus)
When the technician arrived to fix the projector and Danny teasing and indirectly insulting them (from my perspective) for not fixing it earlier. He reminded me of my grade 11 computer science teacher, who was one of the strongest influence of my decision into the field of computer science. A teacher with a bold and unique personality is usually signs of the best in my books. However, it's too early to judge and hence I continued to hold my dissatisfied feelings in my sub-conscious (not sure how else to describe it...).
Before the end of this week, I believe I had acquired some solid understanding of what some of this course was about, and hence in my mind I dubbed thee
"English Computer Science!" (for now...)
;) lol. [slightly informal for first week]
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