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I discovered via MO that we have an entry hereditarily finite set, which was a bit lonesome. So I have now tried to cross-link it a bit with related entries.
In particular at finite object in “Related entries” I started a list with related entries – probably incomplete, please expand. In the course of this I created als a brief entry finite (infinity,1)-category by splitting off a paragraph form finite (infinity,1)-limit.
When you say that there are countably many hereditarily finite sets up to isomorphism, that kind of destroys the meaning. The point is that there are finitely many up to equality (in material set theory). I will change that.
Oh, I see. Okay, thanks for catching that.
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