# Difference between revisions of "Parlour"

From Cantor's Attic

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[[File:PTLomaLighthouseByWagbogwest.jpg | thumb | PT Loma Lighthouse photo by wagbogwest]] | [[File:PTLomaLighthouseByWagbogwest.jpg | thumb | PT Loma Lighthouse photo by wagbogwest]] | ||

− | Welcome to the parlour, where | + | Welcome to the parlour, where finite numbers dream. |

− | + | * up to [[omega]] and into the [[lower attic | attic]] | |

− | * up to [[omega]] and into the [lower attic | attic]] | + | * over to [http://modelsofpa.info Peano's Parlour], the site for open problems in nonstandard models of Peano Arithmetic and related theories |

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* [[Busy beaver function]] values | * [[Busy beaver function]] values | ||

− | * [[ | + | * [[Fast-growing hierarchy]] |

− | * [[ | + | * [[Hardy hierarchy]] |

− | * [[ | + | * [[Slow-growing hierarchy]] |

+ | * [[BEAF]] arrays and [[Bird's array notation]] | ||

+ | * [[Ackermann function]] values | ||

+ | * [[Graham's number]] | ||

+ | * [[Knuth's up-arrow notation]] | ||

* [[googol#Googol_plex | googol plex]], [[googol#Googol_bang | googol bang]], [[googol#Googol_stack | googol stack]] and the [[googol#The_googol_plex_bang_stack_hierarchy | googol plex bang stack hierarchy]] | * [[googol#Googol_plex | googol plex]], [[googol#Googol_bang | googol bang]], [[googol#Googol_stack | googol stack]] and the [[googol#The_googol_plex_bang_stack_hierarchy | googol plex bang stack hierarchy]] | ||

* [[googol]] | * [[googol]] | ||

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* 1 | * 1 | ||

− | * 0 | + | * [[Zero | 0]] |

## Latest revision as of 07:19, 19 May 2018

Welcome to the parlour, where finite numbers dream.

- up to omega and into the attic
- over to Peano's Parlour, the site for open problems in nonstandard models of Peano Arithmetic and related theories
- Busy beaver function values
- Fast-growing hierarchy
- Hardy hierarchy
- Slow-growing hierarchy
- BEAF arrays and Bird's array notation
- Ackermann function values
- Graham's number
- Knuth's up-arrow notation
- googol plex, googol bang, googol stack and the googol plex bang stack hierarchy
- googol
- 1
- 0