User blog comment:JTOnstead20/New Googolism Class/@comment-1605058-20161023190618

For anyone interested, about a year ago a complete renewal of List of googologisms has been proposed, and the draft has been created here. The project went on hiatus because barely anyone was interested in working on this project. Given that we have had an influx of new users, I feel like it is possible that some will be willing to continue with this project.

You can take a look there yourself, but let me point out one thing: one of the goals there was to abandon the completely linear order of the numbers, because of how difficult it is to compare numbers defined using different notations, which is why they have been split. Also, you can see that the list is not compared against Bowers' notation, but rather a more "universal" measure, namely the proof-theoretic strength of defining notations.