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Chronolegends Chronolegends 8 November 2016
3

Ordinal Notations 0 : Up to the Gamma Fixed Point

Introducing some low level ordinal notations. Using

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Chronolegends Chronolegends 20 October 2016
8

Numbers in CSBN

These tables use CSBN
CSBN Level 1
ω^ω^ω Level
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Chronolegends Chronolegends 7 September 2016
4

CSBN - Chronolegend's Square Bracket Notation Level 1

Concepts
Numbers: non-negative integers, represented by lower case letters.
Strings: Collections of numbers and separators, represented by capital letters
 Non-Empty String: A string that contains at least one number and zero or more separators.
 Main String: A string that is not a substring nor enclosed by square brackets.
Separators: Numbers enclosed by square brackets []
Substrings: Strings that are parts of another string
Argument: A number at the end of the main string, the letter n is reserved for it.
Syntax Rules
A number ends the main string
Except in the main string, Separators must always be inbetween two numbers
Strings can be zero, or they can be empty, except this would create an illegal string (check above rule)
If the main string contai…
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Chronolegends Chronolegends 4 September 2016
5

CCBN - Chronolegends Curly Bracket Notation

Step 1: {0}n = n^n

Step 2: {X+1}n = {X}...{X}n with n {X}'s

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Chronolegends Chronolegends 24 May 2016
2

Tetration on ordinals

Note that for all of this blog post

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