User blog comment:Edwin Shade/Understanding The Infinite/@comment-32213734-20171109230028

"The ordinal εε ε . ..   is given a special name, "zeta-nought""

"For the ordinal ζζ ζ . ..   we have yet another letter, the Greek letter eta, with 0 in it's subscript, to signify this ordinal, eta-nought, or η0."

In my opinion, this is not quite right since not only ζ0, but ζ1, ζ2 and all other ζ numbers with successor subscipt are also εε ε. ..

Similarly, all η numbers with zero or successor subscipt are ζζ ζ. ..

So, εε ε. ..   and ζζ ζ. ..   are not ordinals but classes of ordinals - respectively ζα and ηα, where α is successor ordinal or zero.