User blog:MilkyWay90/Trying to create my own ordinal notation

Now, I have no idea about large ordinals and everything (mostly because I haven't searched it up before). But I'll try making a ordinal notation

\(F(0) = \omega\)

\(F(n) = sup{x | y mod F(n - 1) = 0})\) for all \(y \in x\)

This might be very ill-defined because I don't have a full understanded of the supremum function yet.

Leave any comments below.