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The example of $Q$ as a Bishop set on the preset $Z \times Z$ is wrong. You need to rule out zero denominators. The definition currently on the page is not a Bishop set at all, because $0/0$ makes the relation intransitive.
I’m not sure how it should be changed to illustrate the point that the same preset can get distinct sets. Maybe a different example entirely?
Oh wait. False alarm. That text is using $Z$ for positive integers only.
That’s a weird convention, probably best to change it no?
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