Googology Wiki
Googology Wiki

Fish numbers are numbers defined by the Japanese googologist Fish.[1][2] There are seven Fish numbers:


Fish introduced Fish number 1, Fish number 2, Fish number 3 and Fish number 5 on the publication "Mathematics Seminar[3]", and he introduced the definitions of S map and S(n) map and the relationship between Fast-growing hierarchy and s(n) map.

Ohguro introduced Arrow notation, Chained arrow notation and Fish number in the magazine "Contemporary Philosophy[4]", and considered that the fact that Fish numbers are not a byproduct of some other goal-achieving process, but are devised purely for the generation of large numbers, is important in the gestalt change in the treatment of large numbers.

Kondo [5] discussed whether large numbers that did not exist before creation can be said to have existed with Fish number 1 and Fish number 7.


See also

By Aeton: Okojo numbers · N-growing hierarchy
By 新井 (Arai): Arai's \(\psi\)
By バシク (BashicuHyudora): Primitive sequence number · Pair sequence number · Bashicu matrix system 1/2/3/4
By ふぃっしゅ (Fish): Fish numbers (Fish number 1 · Fish number 2 · Fish number 3 · Fish number 4 · Fish number 5 · Fish number 6 · Fish number 7 · S map · SS map · s(n) map · m(n) map · m(m,n) map) · Bashicu matrix system 1/2/3/4 computation programmes · TR function (I0 function)
By じぇいそん (Jason): Irrational arrow notation · δOCF · δφ · ε function
By 甘露東風 (Kanrokoti): KumaKuma ψ function
By 小林銅蟲 (Kobayashi Doom): Sushi Kokuu Hen
By koteitan: Bashicu matrix system 2.3
By mrna: 段階配列表記 · 降下段階配列表記 · 多変数段階配列表記 · SSAN · S-σ
By Naruyoko Naruyo: Y sequence computation programme · ω-Y sequence computation programme
By Nayuta Ito: N primitive · Flan numbers · Large Number Lying on the Boundary of the Rule of Touhou Large Number 4
By p進大好きbot: Large Number Garden Number
By たろう (Taro): Taro's multivariable Ackermann function
By ゆきと (Yukito): Hyper primitive sequence system · Y sequence · YY sequence · Y function · ω-Y sequence
See also: Template:Googology in Asia