User blog comment:P進大好きbot/Analysis of 非想非非想 notation/@comment-32994025-20190801230503/@comment-35470197-20190828093156

> Which brings me back to my question: How does the concept of "sword" relates to the concept of the Veblen function? Or was the symbol randomly chosen?

It is not related to the Veblen function, but is related to the concept of the event. Participants were required to create large numbers related to game series called Touhou (meaning "oriental"). So I picked up one of the seriescalled "緋想天" focussed on a character in "非想非非想" (the meaning is explained in my first comment below). She has many skills, e.g. "非想「非想非非想の剣」"（"の" means "of"）. I defined a notation which expands like portions of names of her skills. Finally, I defined an FGH-like function "非想「x」" so that it expandeds like full names of her skills.

In the analysis table, I further introduced letters for abbreviations. Since "想" means "think/feel" and immitates a hierarchy of large cardinals in my notation, I chose letters "妄", "幻", and "夢" meaning "imaginary", "illusion", and "dream (which sometimes means non-existence in Japan)" in order to express (possibly non-existing) large cardiinals. Since "非" means "no" and intensionally corresponds to 0, I chose letters like 一 (1), 万 (10^4), 億 (10^8), 兆 (10^12), and so on in order to express the comparison of characteristic ordinals.

> (Is a "phantom" bigger than a "dream")?

I guess that phantom is "幻". If so, then it is smaller than dream. (幻_a(b) is an abbreviation of 想(一一,a,b), and 夢_a(b) is an abbreviation of 想(一一一,a,b).)

> (sorry for getting so cought up in the language thing. It fascinates me)

No problem. I appreciate questions.

> I just thought that somebody should create a Japanese version of Letter Notation. With at least hundreds different basic symbols, you could have a very detailed scale.

It is an interesting attempt. It is good if we obtain a Japanese letter notation such that letters actually have meanings corresponding to the sizes.