Definition[]
epsilon-0 is the first fixed point of ωa. it is represented with ε0.
It is not a fictional number.
Size[]
ε0 might seem small, and yes, it is by most goooglogical standards, but think about it this way:
ω+1 is already faster than grahams function in the fast growing hierarchy.
ω+2 then absolutely blows past ω+1
However we can continue, and ε0 is already at the limit of well defined BEAF, and it's also the slowest growth rate peano arithmetic (One of the most popular set theories) can't express.
Cool number above Omega