User blog comment:BlauesWasser/I've been doing googology for a long time, but I still feel like a beginner/@comment-35470197-20180822050146/@comment-35470197-20180823043025

Then how about constructing fgh-like functions which correspond to ordinals below them?

For example, would you try constructing functions using arrays? Then you will grasp more about how large \(\omega^{\omega^{\omega}}\) is, because it is very difficult to construct functions above \(\omega^{\omega^{\omega}}\) without hints.

After that, you will understand more about fgh below \(\omega^{\omega^{\omega}}\). I emphasise that \(\omega^{\omega^{\omega}}\) is so large that it is very difficult to imagine explcitly how large it is unless we try to study functions below it.

...Or you might be sufficiently understanding them, even though you are not confident. Actually, they have many difficult properties. Therefore we usually study only properties which we need to use.