User blog comment:MilkyWay90/Help understand the zeta ordinals/@comment-32697988-20180620044153/@comment-35470197-20180621101304

> Are there \(\omega\) epsilons in one zeta number?

Partially true.

More precisely, the right hand side of the first equality is defined as the limit of \((f^n(\zeta_0 + 1))_{n \in \omega}\), where \(f \colon \textrm{On} \to \textrm{On}\) is the function \(\alpha \mapsto \epsilon_{\alpha}\).