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The question asks if there can be a relation on a set that is neither reflexive or irreflexive. The example the book give makes perfect sense: "Yes, for instance $\{(1,1)\}$ on $\{1,2\}$."

I was wondering, if I had the relation on that same set $\{1,2\}$, would that be irreflexive?

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    @Lord_Farin, thanks for the link. I'll be more careful next time.2014-12-25

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