Yes, I studied theoretical computer science in University, but I believe the article should be accessible to anyone with a willingness to learn some of the background material. E.g. there are many good introductory texts on the lambda calculus. For a great introduction to the fast growing hierarchy I can recommend
David Metzler's Ridiculously Huge Numbers [1] series on youtube.
[1] https://www.youtube.com/playlist?list=PL3A50BB9C34AB36B3