I know that PA has an intended interpretation, namely $\mathbb{N}$, and the usual axioms of the real line have an intended interpretation, namely $\mathbb{R}$. Does ZFC have an intended interpretation?
2026-03-28 15:20:00.1774711200
Does ZFC have an intended interpretation?
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Yes it does. The intended interpretation of ZFC is the class of all hereditary well-founded sets. This class is often called the von Neumann universe.