The most difficult part of the reading was understanding the first proof and how they had to factor out a two. When I read it the first time, I did not quite catch the fact that they factored the 2, so I was wondering how 3n + 5 proved that 3n +7 was even. I figured it out after reading the other examples.
What I thought was the most interesting part of the reading was the statement that a vacuous result can actually be useful in mathematics. Personally it seems trivial to prove that the implication is true even though the first statement is false, but this statement made me look forward to further sections and proofs where the vacuous result is useful. I assume it is not useful alone though.
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