Tuesday, January 31, 2012

5.2-5.3, due on February 1

Difficult: The most difficult section in this reading is section 5.2. However, I would not say that 5.2 is actually a difficult idea to understand. For one, the concept of a contradiction should not be new. Therefore, it is easy to apply previous knowledge and experience regarding what constitutes a contradiction to this mathematical application involving proofs. That being said, I would have liked the example to have been more consistent when it came to the variables that were used. At first the variable used are P and Q, but then the book jumps to R and C which caused me to be confused for a bit.

Reflective: I particularly like section 5.3. I thought that it was very helpful to me regarding how to begin proofs. Sometimes, the most difficult part of a proof is simply deciding how to approach it. I also liked the review of all the different kinds of proofs such as direct, contrapositive, and contradiction. I honestly wish that this section had come earlier in the course.

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