Saturday, January 28, 2012

4.5,4.6,5.1, due January 29

A. In reading these sections, I think the hardest thing will be remembering the set operations and correctly applying them in proofs. The proofs we have been doing have a lot of steps in order to sufficiently define and clarify. I like the examples we are using and look forward the TA sessions. The proofs of sets operations are hard to follow. I drew a Venn diagram and that helped a little to see what was happening.
B. In 5.1 it was interesting how one disproves a statement. It looks to me that my careful examination and playing with numbers, you can conclude which elements make the statements false. An interesting example is when mathematicians tried to come up with a formula for deriving prime numbers. They had a good one until they found a count-example and latter offered a $1 million prize to anyone who could prove or disprove it.
 ( http://akoaotearoa.ac.nz/ako-hub/good-practice-publication-grants-e-book/resources/pages/using-counter-examples-enhance-learn )

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