User:Emlightened

Hi!

I'm relatively experienced with ordinal-related googology, but am unfamiliar with most 'major' notations made by other people. If anyone knows why the heck BEAF is so popular, feel free to tell me.

I've migrated from fora.xkcd.com, after the main 'My Number is Bigger' thread at the time got cancelled.

Typically, the notations I make will probably be minimal on symbols/syntax, but fairly fast growing, novel, or just simple.

Planned blog posts:


 * Enormous Tree Notation - Part 1 - Trees
 * Enormous Tree Notation - Part 2 - Leaf-links
 * Enormous Tree Notation - Part 3 - Sub-notations up to SVO
 * Enormous Tree Notation - Part 4 - Sub-notations up to θ(φ(1@ω,Ω+1@0))
 * Enormous Tree Notation - Part 5 - Creating a new OCF
 * Enormous Tree Notation - Part 6 - An enormous system of fundamental sequences
 * Colouring Numbers - Part 1 - Pink numbers (ε_0)
 * Colouring Numbers - Part 2 - Orange numbers (φ(1@ω))
 * Very Large Veblen Ordinal - The other way to extend the Veblen Hierarchy

(Most of the ETN posts will — despite appearances — not be interdependent. (3) requires (1), (3) requires (1) and (4) requires (3), but both include content from (2). (5) uses the concept behind (2), and shows how the function is so powerful, while (6) contains fundamental sequences for all ordinals made in (5), although can be viewed without.)

(Colouring numbers posts each describe a unary function which effectively maps numbers to ordinals and reduces them (normally using prime factorisation), although some of the functions are rather complicated. The post VLVO extends the Veblen hierarchy with uncountable positions for fixed points (instead of uncountable ordinals in the two-argument version), and VLVO itself should equal ϑ(χ(Μ^Ω)).)