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comment Mathematical Canon
@shoover I believe the mathematics library at my school is in the possession of this collection! I should have a look at it.
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revised Mathematical Canon
added 113 characters in body
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comment Dubiety About An Inequality Proof
Whoops, he specifies that $xy > 0$ if $x \in F$, $y \in F$, where $F$ is an ordered field, and $x >0$ and $y > 0$...I reckon more careful reading elucidates all answers...