Saturday, October 11, 2014

8.1-2, due on October 13

What was the most interesting part of the material for you?
This section is cool because relations seem to be a very abstract idea of a function in 2- or 3-space that we deal with in calculus. Now we consider a more general idea; it's interesting to think about how two sets are related at the most basic level.

What was the most difficult part of the material for you?
Understanding what made a relation transitive was difficult in the same way that understanding the truth table of an implication was difficult. For a relation to be not transitive, we have to show an example where (x,y) and (y,z) are elements of R, but not (x,z). So it's actually a stronger statement to say a relation is not transitive than it is to say that it's transitive.

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