User blog comment:Hyp cos/tree function and TREE(3)/@comment-180.214.233.28-20141218140408/@comment-1605058-20141218165955

I never said that all of Bowers' numbers are ill-defined, I just said that some of them are. Reasons why these numbers are listed are, first of all, how big impact Bowers' work has made on world of googology. Initial part of BEAF already describes really big numbers, and what goes next is just an intuitive extension of all these ideas. Secondly, it wasn't until few months ago when we started realizing that this notation is partially ill-defined, long after the articles were already made.