Tuesday, September 25, 2012

5.4 - 5.5, due on September 26

I usually use this space to kind of write my questions and things I didn't understand. I hope that helps and/or is what you're looking for. This whole idea of uniqueness, what kind of properties can this entail? I assume that when we ask if there is a unique root on an interval, that means it is the only one in the interval? Would uniqueness also expand to parity? For instance, there is only one number contained in the set S that makes some function even.

I find it neat that we're using the things that we learned about odd and even numbers and proofs in the principles of disproving existence statements. Is there ever an end of things to prove? I appreciate that the book added in a different viewpoint at the end. Every disproof is really just a proof of the of the negation.

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