Example of self-dual hypergraph with infinite edges

What is an example of a hypergraph $H=(V,E)$ with $|e|\geq \aleph_0$ for all $e\in E$ and the property that $H\cong H^*$ where $H^*$ is the dual hypergraph of $H$?

1 Answer

Let $V = \mathbb R$ and $E = \{(-\infty,r] : r \in \mathbb R\}$.