Transfinite Recursion

🅟 Mar 10, 2026

  🅤 Jun 10, 2026

Proposition 1. Transfinite Recursion.

For any function $G$ on $\V$, there is a unique function $F$ on $\Ord$ such that for all $\alpha \in \Ord$,

\[F(\alpha) = G(F \restriction_\alpha).\]