User blog comment:Mh314159/Natural number recursion - first 4 rule sets/@comment-35470197-20191019143654/@comment-39541634-20191025061140

"But I guess that studying elementary intuition of ordinals of the current level can be done within one hour since you are now understanding how to add I see. But I guess that studying elementary intuition of ordinals of the current level can be done within one hour since you are now understanding how to add ω."

"Within one hour" might be a bit optimistic.

But learning the basics of ordinals would still be far easier (and far less time consuming) then most of the things you've already done. Instead of wrecking your brains every time to find the proper extension, you'll have a system that follows a clear simple logical path. At least up to ε₀.

Seriously, once you overcome your fear of the subject, you'll wonder why you did things in any other way.

Of-course, the decision is yours. I'm not trying to push you into anything. Feel free to continue using whatever approach you want.