Epsilon 0

After $^{n}\omega$ reaches its limit, the omegas end and the epsilons start, and $\epsilon_0$ forms.

"In mathematics, the epsilon numbers are a collection of transfinite numbers whose defining property is that they are fixed points of an exponential map." - Wikipedia.

The epsilon numbers are not reachable via 0 with "weaker" operations like addition and multiplication. Every epsilon number satisfies the equation $\omega ^{\epsilon }$in which $\omega$ is the smallest infinite ordinal.