Thursday, 2 October 2014

Week 4

Monday's lecture was on transitivity, that is, if P implies Q and Q implies, R, then we know that P implies R. As part of this discussion, we walked through simplifying a statement by turning implications into disjunctions. I'm glad we did this because I had been struggling to understand the relationship between implication and conjunction and disjunction. I learned that "P implies Q" has the same meaning as "not P, or Q". I compared these statements with a truth table and they are both true under the same conditions and false under the same conditions.

Understanding this relationship made my tutorial exercises and assignment much easier, since I had found it hard to understand the exact relationship between an antecedent and its consequent. Now, I can express complicated implication statements in a more familiar mathematical form.

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