User blog comment:Edwin Shade/Understanding The Infinite/@comment-30754445-20171109171549/@comment-32876686-20171109192003

According to this video the fundamental sequence of $$\zeta_1$$ is $$\{\epsilon_{\zeta_0 +1}, \epsilon_{\epsilon_{\zeta_0 +1}}, \epsilon_{\epsilon_{\epsilon_{\zeta_0 +1}}}, \epsilon_{\epsilon_{\epsilon_{\epsilon_{\zeta_0 +1}}}}, \epsilon_{\epsilon_{\epsilon_{\epsilon_{\epsilon_{\zeta_0 +1}}}}},...\}$$.

I think I understand why this is so. But does that mean that $$\zeta_2=\epsilon_{\epsilon_{\epsilon_{\zeta_1 +1}}}$$ ? The video seems to say this, but I just want to make sure.