This is a currently work-in-progress list of my infinities, ideas, and other stuff.
Infinities[]
(I don't have a name for this yet)
Symbol: ࿇
L(CL(n)) = Lowest number in nth class.
Example:
L(CL(0)) = 0
L(CL(6)) = Absolute True End
L(CL(ω)) = The Absolute True End of Everything?
∔1 = +++...+++1 with infinite +'s. this number is an extention of hyperpositives and is equal to pos(∞). It is probably class IV. this number is called the first recurring positive.
⨳{a}b = ⨳ for all a, b. ⨳ > 1. This number is called the operator limit and is at least class I or II.
⨰1 = To be defined, but will be class IV or V, probably.
= semiconst, a number that is ill-defined.
= a way of writing outerconst.
There are at least 3 ergosphere numbers for each Black Hole (area from EH to U), denoted Θ>,Θ<,Θ=. each one is defined in a similar way to EH.
The point where a⪋b is false is called "Event Horizon". Its symbol is ტ. it is probably Class IX or class X
U N E N D I N G is the point where a⪋b is true after the event horizon and marks the end of the first black hole. This is possibly class XI.
Absolutely Unending is the point where the end of the nth black hole = n. (EBH(n) = n)
Limit Unending is the end of the last black hole. It is either greater than or equal to absolutely unening, but mathematics are so broken by this point that the comparison doesn't make sense. This number is at least class XI and maybe even class XII.
E.O.N. is a number I have yet to define.
Outerconst Extentions[]
C_0 (), outarconst
D_0 (), outierconst
M_10^100(0) (), outergol
M_10{100}10(0)
M_G64(0) (), outergraham
M_iteral(0)
M_TREE(3)(0)
M_Rayo(10^100)(0)
M_∞(0)
M_Ω(0)
M_M_2(0)(0)
M_1,0(0)
M_1,0,0(0)
M_1^2(0)
M_1,0^2(0)
M_1^3(0)
M_1^1,0(0)
M_M_2(0)^M_2(0)(0) - Grand Outerconst ()
M_M_2(0)&M_2(0)^M_2(0)&M_2(0)(0) - Great Outerconst ()
^2(M_1^1)(0)
M4(0)
M10(0)
M10^100(0)
M10{100}10(0)
MG64(0)
M10&10(0)
MTREE(3)(0)
Mrayo(10^100)(0)
M∞(0)
MΩ(0)
MM_2(0)(0)
MMM_2(0)(0)(0)
Mm_4(0)
Mm_∞(0)
Mm_Ω(0)
MmM_2(0)(0)
MmMM_2(0)(0)(0)
Mmm_3(0)
M1,0(0)
M1,0,0(0)
M_{2}1(0)
M_{3}1(0)
M_{M_2(0)}1(0)
Dm(M_2(0),0)
Extended Heaven Numbers[]
These are all extensions of 2nd Heaven Numbers.
W.I.P.
mixing OBN with DUSN[]
(⍹_{{Ω,Ω,Ω,Ω}})_ω sub (⍹_{{Ω,Ω,Ω,Ω}})_ω,Ω sub (⍹_{{Ω,Ω,Ω,Ω}})_ω,Ω ... ((⍹_{{Ω,Ω,Ω,Ω}})_ω) copies) ... (⍹_{{Ω,Ω,Ω,Ω}})_ω,Ω
= Some unimaginably huge number. I don't even know what class this should be.
I could replace the Ω's with something else but it really wouldn't make much of a difference.
Shorthand: ⍹_{{Ω,Ω,Ω,Ω}}_ω↯↯⍹_{{Ω,Ω,Ω,Ω}}_ω,Ω
Well, why not extend it even further?
⍹_{{Ω,Ω,Ω,Ω}}_ω↯↯...↯↯⍹_{{Ω,Ω,Ω,Ω}}_ω,Ω (⍹_{{Ω,Ω,Ω,Ω}}_ω ↯'s)
Then we keep creating shorthands
<1> = ↯
<2> = ↴ = ↯...↯
<3> = <2><2>...<2><2>
a<1,2>b,c = a<b>b,c
a<1,2><1,2>b,c = a<1,2><1,2>...b,c (b copies of <1,2>
a<2,2>b,c = a<1,2><1,2><1,2><1,2>...b,c
a<1,1,2>b,c = a<b,b>b,c
a<1xn,2>b,c = a<1,1,...1,2>b,c
a<1xnxn,2>b,c = a<1xn,1xn...1xn,2>b,c
a<nxxn,2>b,c = a<nxnx...xn,2>b,c
a<n^n>b,c = a<nxxx...xxxn>b,c
a<n^n^n>b,c = a<n^n,n^n...n^n>b,c
a<n^^n>b,c = a<n^n^n...^n>
a<d{e}f>b,c = a<d^^^...^^^f>b,c
a<d{1,2}f>b,c = a<d{f}d>b,c
a<d{1xe,2}f>b,c = a<d{1,1,1...1,2}f>b,c
a<d{e{f}g}h>b,c = a<d{e^^^...^^^g}h>b,c
a<d{{1}}e>b,c = a<d{d{d...{d}...d}d}d>b,c
ect...
a<{d,e,f,g}>b,c = a<d{{{...{f}...}}}e>b,c
a<d<2>e,f>b,c = I don't think I need to explain this.
a<<1>>b,c,d = a<a<a...<a>...a,a>a,a>c,d
↯a,b,c,d,e,f↯ = a<<...<<c>>...>>b,e,f
W.I.P.