查看“︁序数表”︁的源代码

本条目列举出一些有名字的[[序数]]，它们大多在googology中具有重大意义
需要注意的是，它们的命名很多来自googology爱好者而非专业数学研究者。
== 序数表 ==
{| class="wikitable"
|+ 
|-
! 缩写 !! 英文全称 !! 常规表示方法(BOCF等) !! BMS/Y
|-
| FTO || First Transfinite Ordinal || ω || BMS(0)(1)
|-
| LAO || Linar Array Ordinal || ω^ω || BMS(0)(1)(2)
|-
| SCO || Small Cantor Ordinal || φ(1,0) || BMS(0,0)(1,1)
|-
| CO || Cantor Ordinal || φ(2,0) || BMS(0,0)(1,1)(2,1)
|-
| HCO || Hyper Cantor Ordinal || φ(ω,0) || BMS(0,0)(1,1)(2,1)(3,0)
|-
| FSO || Feferman-Schutte Ordinal || φ(1,0,0) || BMS(0,0)(1,1)(2,1)(3,1)
|-
| SVO || Small Veblen Ordinal || ψ(Ω^Ω^ω) || BMS(0,0)(1,1)(2,1)(3,1)(4,0)
|-
| LVO || Large Veblen Ordinal || ψ(Ω^Ω^Ω) || BMS(0,0)(1,1)(2,1)(3,1)(4,1)
|-
| BHO || Bachmann-Howard Ordinal || ψ(Ω_2) || BMS(0,0)(1,1)(2,2)
|-
| BO || Buchholz's Ordinal || ψ(Ω_ω) || BMS(0,0,0)(1,1,1)
|-
| TFBO || Takeuti-Feferman-Buchholz Ordinal || ψ(Ω_(ω+1)) || BMS(0,0,0)(1,1,1)(2,1,0)(3,2,0)
|-
| BIO || Bird's Ordinal || ψ(Ω_Ω) || BMS(0,0,0)(1,1,1)(2,1,1)(3,1,0)
|-
| EBO || Extended Buchholz Ordinal || ψ(I) || BMS(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0)
|-
| JO || Jager's Ordinal || ψ(Ω_(I+1)) || BMS(0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,0)
|-
| SIO || Small Inaccessible Ordinal || ψ(I_ω) || BMS(0,0,0)(1,1,1)(2,1,1)(3,1,1)
|-
| MBO || Mutiply Buchholz Ordinal || ψ(I(ω,0)) || BMS(0,0,0)(1,1,1)(2,1,1)(3,1,1)(3,0,0)
|-
| SRO || Small Rathjen Ordinal || ψ(Ω_(M+1)) || BMS(0,0,0)(1,1,1)(2,1,1)(3,1,1)(3,1,0)(4,2,0)
|-
| RO || Rathjen's Ordinal || ψ(Ω_(K+1)) || BMS(0,0,0)(1,1,1)(2,1,1)(3,1,1)(4,1,0)(5,2,0)
|-
| DO || Duchhart's Ordinal || ψ(Ω_(κ+1)) || BMS(0,0,0)(1,1,1)(2,1,1)(3,1,1)(4,1,1)(5,1,0)(6,2,0)
|-
| SSO || Small Stegert Ordinal || ψ(Π_ω) || BMS(0,0,0)(1,1,1)(2,2,0)
|-
| LSO || Large Stegert Ordinal || ψ(λα.(α×2)-Π<sub>0</sub>) || BMS(0,0,0)(1,1,1)(2,2,0)(3,2,0)(4,1,0)(2,0,0)
|-
| BGO || TSS 1st Back Gear Ordinal || ψ(Π<sub>1</sub>-λα.(Ω<sub>α+2</sub>)-Π<sub>1</sub>) || BMS(0,0,0)(1,1,1)(2,2,1)
|-
| SDO || Small Dropping Ordinal || ψ(λα.(Ω<sub>α+ω</sub>)-Π<sub>0</sub>) || BMS(0,0,0)(1,1,1)(2,2,1)(3,0,0)
|-
| LDO || Large Dropping Ordinal || ψ(λα.(OFP aft α)-Π<sub>0</sub>) || BMS(0,0,0)(1,1,1)(2,2,1)(3,2,0)
|-
| pLRO || p.f.e.c. Large Rathjen Ordinal || ψ(ω-π-Π<sub>0</sub>) || BMS(0,0,0)(1,1,1)(2,2,2)
|-
| TSSO || Trio Sequence System Ordinal || ψ(ω-projection) || BMS(0,0,0,0)(1,1,1,1)
|-
| QSSO || Quardo Sequence System Ordinal || ψ(ψ<sub>H</sub>(H^H^ω))？ || BMS(0,0,0,0,0)(1,1,1,1,1)
|-
| SHO || Small Hydra Ordinal || ψ(ψ<sub>H</sub>(H^^ω))？ || Y(1,3)
|-
| ΩSSO || Ω Sequence System Ordinal || || Y(1,3,4,2,5,8,10)
|-
| GHO || No-Go Hydra Ordinal || || Y(1,3,4,3)
|-
| SYO || Small Yukito Ordinal || || ω-Y(1,4)
|-
| MHO || Medium Hydra Ordinal || || ω-Y极限
|-
| CKO || Church-Kleene Ordinal || ω<sub>1</sub><sup>CK</sup> || 
|-
| FUO || First Uncountable Ordinal || ω<sub>1</sub> || 
|}