Joel's Infinite time Turing machines paper was my first point of contact with his work. After that I kept on reading most of his work, including his papers on transfinite games.
This was an amazing discussion, and I want to express my appreciation. How interesting !!!! Joel does have a flare for exhibiting great taste in fashion. 😊 🙏❤️🌏🌿🕊🎵🎶🎵
Adjectives? I wouldn’t characterize those word elements (plex, bang etc.) as adjectives. I would say that they are some kind of suffixes. Mathematicians are definitely good at mathematics, but less good at grammar!
Very interesting, thanks. I love Joel's ability to converse without hinting at condescension. A remark relating to the fascinating question of how large a positive integer can be with fixed (small) Kolmogorov complexity, it seems that the Guinness Book of World Records has an entry crediting Donald Knuth on this matter. Or at least in Knuth's book "Things a Computer Scientist Rarely Talks About", 2001, Lecture 6 mentions this in a discussion of megalarge numbers. A second remark about the discussion of fashion, particularly hats, at the end: I was waiting (alas, in vain) to hear Joel mention the role of hat problems in logic and set theory. For those unaware of logical hat problems, I offer a description of my personal favourite hat problem of this type: ericmoorhouse.org/handouts/hats_sol.pdf For further discussion and more hat problems, see "The Mathematics of Coordinated Inference", Hardin and Taylor, Springer, 2013. The book is subtitled "A Study of Generalized Hat Problems".
