Uncountable numbers 1

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Uncountable numbers

Goobawamba {10,100 (1) 2} & 10

Not to be confused with gobbawamba

This number is a goobol(Not to be confused with gobbol and gobol) array of tens, a number of order type ψ(Ω^{Ω^w}) (also known as the small Veblen ordinal, or SVO for short). It's about as far as I myself currently have figured out how to easily define BEAF with the array of operator. I'm not exactly sure how to go further, because (for example) setting {X,2X(1)2} = {{X,X(1)2},X(1)2} just doesn't work.

Why is that? The whole reason I chose, for example, X^^2X = (X^^X)^^X is because n^^2n (where n is a number) APPROXIMATES (n^^n)^^n - the same holds true, for example, when comparing n{{1}}2n vs (n{{1}}n){{1}}n. However, {{n,n(1)2},n(1)2} is NOT EVEN CLOSE to {n,2n(1)2} - this shows that defining the structures is now much harder at this point.

Fortunately, Hyp cos of Googology Wiki has an "analysis" of BEAF in terms of the FGH, which gives informal proposals on how big BEAF numbers "should" be in terms of the FGH. What he does is not only a full coverage of BEAF, but it's also helpful for determining how to work with BEAF past {X,X(1)2} & a. The methods for getting to things like {X,X,2(1)2} & a are kind of confusing, but they're reasonably unproblematic.

I'm currently trying to figure out how to work with BEAF past the SVO. But for now, from here on out, in BEAF numbers I will rely on Hyp cos's "analysis" for determing how big they are. I put "analysis" in quotation marks because the analysis isn't very formal (BEAF past dimensional arrays in itself isn't formal), and it's better to describe it as an informal proposal on how big BEAF numbers "should" be and how BEAF "should" be worked with past tetration arrays.

It was {X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X} array of tens with 100 tens

Goobawambaplex {10,goobawamba (1) 2} & 10

This number is a goobol(Not to be confused with gobbol and gobol) array of tens, a number of order type ψ(Ω^{Ω^w}) (also known as the small Veblen ordinal, or SVO for short). It's about as far as I myself currently have figured out how to easily define BEAF with the array of operator. I'm not exactly sure how to go further, because (for example) setting {X,2X(1)2} = {{X,X(1)2},X(1)2} just doesn't work.

Why is that? The whole reason I chose, for example, X^^2X = (X^^X)^^X is because n^^2n (where n is a number) APPROXIMATES (n^^n)^^n - the same holds true, for example, when comparing n{{1}}2n vs (n{{1}}n){{1}}n. However, {{n,n(1)2},n(1)2} is NOT EVEN CLOSE to {n,2n(1)2} - this shows that defining the structures is now much harder at this point.

Fortunately, Hyp cos of Googology Wiki has an "analysis" of BEAF in terms of the FGH, which gives informal proposals on how big BEAF numbers "should" be in terms of the FGH. What he does is not only a full coverage of BEAF, but it's also helpful for determining how to work with BEAF past {X,X(1)2} & a. The methods for getting to things like {X,X,2(1)2} & a are kind of confusing, but they're reasonably unproblematic.

I'm currently trying to figure out how to work with BEAF past the SVO. But for now, from here on out, in BEAF numbers I will rely on Hyp cos's "analysis" for determing how big they are. I put "analysis" in quotation marks because the analysis isn't very formal (BEAF past dimensional arrays in itself isn't formal), and it's better to describe it as an informal proposal on how big BEAF numbers "should" be and how BEAF "should" be worked with past tetration arrays.

It was {X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X...X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X,X} array of tens with goobol tens

Gibbawamba {10,100,2 (1) 2} & 10

Not to be confused with gibawamba

This is a number I coined that continues the pattern of dimensional array-arrays - the value is believed to be at the order type of the large Veblen ordinal in the fast growing hierarchy (see next entry). It has gibbol entries

Gabbawamba

{10,100,3 (1) 2} & 10

You reached the latrix in the dust for infinity years.

Geebawamba

{10,100,4 (1) 2} & 10

Note: I noticed this number is equal to {10,100,4 (1) 2} & 10 and this number has geebol entries.

Gibawamba

{10,100,5 (1) 2} & 10

This number is entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry ...Gibol times... entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry entry

Gobbawamba

{10,100,6 (1) 2} & 10

Making those numbers are really cool, but in this case. You might be able to do all of your homework

Gabawamba

{10,100,7 (1) 2} & 10

Making the way to goobawantra, but we didn't get here!

Boobawamba

{10,10,100 (1) 2} & 10

Or it's {{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{10,10,10,10,10,10,10,10,10,10}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}} & 10 with 100 pairs of {}

Corporawamba

{10,100,1,2 (1) 2} & 10

It has {10,100,1,2 (1) 2} entries

Mulporawamba

{10,100,2,2 (1) 2} & 10

Powporawamba

{10,100,3,2 (1) 2} & 10

Bibbawamba

{10,10,100,2 (1) 2} & 10

This is my opinion, that number has bibbol entries

Babbawamba

{10,10,100,3 (1) 2} & 10

This number has babbol entries, not to be confused with {10,10,100,3} & 10.

For baggol entries, see humangulus.

Beebawamba

{10,10,100,4 (1) 2} & 10

Bibawamba

{10,10,100,5 (1) 2} & 10

Bobbawamba

{10,10,100,6 (1) 2} & 10

Babawamba

{10,10,100,7 (1) 2} & 10

Troobawamba

{10,10,10,100 (1) 2} & 10

Taking the long day is quite hard

Tribbawamba

{10,10,10,100,2 (1) 2} & 10

Tribbawamba has Tribbol entries

Trabbawamba

{10,10,10,100,3 (1) 2} & 10

Trabbawamba has Trabbol entries

Treebawamba

{10,10,10,100,4 (1) 2} & 10

Treebawamba has Treebol entries

Quadroobawamba

{10,10,10,10,100 (1) 2} & 10

This number has quadroobol entries

Quadribbawamba

{10,10,10,10,100,2 (1) 2} & 10

This number is quadribbawamba. Quadribbawamba has quadribbol entries

Quadrabbawamba

{10,10,10,10,100,3 (1) 2} & 10

I really kind of like this name

Quintoobawamba

{10,10,10,10,10,100 (1) 2} & 10

This number has quintoobol entries

Quintibbawamba

{10,10,10,10,10,100,2 (1) 2} & 10

This has quintibbol entries

Sextoobawamba

{10,10,10,10,10,10,100 (1) 2} & 10

It has sextoobol entries.

Septoobawamba

{10,10,10,10,10,10,10,100 (1) 2} & 10

The term was coined by googology wiki.

Octoobawamba

{10,10,10,10,10,10,10,10,100 (1) 2} & 10

Nonoobawamba

Decoobawamba

Centoobawamba

Ladecatrix

{10,10 (1) 3} & 10

Ladecatrix has ladecal entries

Goobawantra

{10,100 (1) 3} & 10

Note that I'm taking some liberty in naming the numbers just to make the names sound good.

Goobawantra Oompa

{10,gootrol (1) 3} & 10

This number has gootrolplex entries.

Gibbawantra

{10,100,2 (1) 3} & 10

Gitrol is not to be confused with gietrol.

Gabbawantra

{10,100,3 (1) 3} & 10

Finally!

Geebawantra

{10,100,4 (1) 3} & 10

This is my opinion, when I am taking some time in this series. This is equal to {{{{10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10 (1) 2}}}} & 10. YIKES!

Gibawantra

{10,100,5 (1) 3} & 10

This is the number that has gietrol entries

Gobbawantra

{10,100,6 (1) 3} & 10

Somedays, we might be getting to a Goobawanquadra

Gabawantra

{10,100,7 (1) 3} & 10

Gabawantra has gaitrol entries

Boobawantra

{10,10,100 (1) 3} & 10

This is the number that has bootrol entries

Bibbawantra

{10,10,100,2 (1) 3} & 10

Seriously?

Babbawantra

{10,10,100,3 (1) 3} & 10

Babbawantra has batrol entries

Beebawantra

{10,10,100,4 (1) 3} & 10

Just this time, no more disgusting shapes

Troobawantra

{10,10,10,100 (1) 3} & 10

Trootrol entries already?!?

Tribbawantra

{10,10,10,100,2 (1) 3} & 10

This has tritrol entries

Trabbawantra

{10,10,10,100,3 (1) 3} & 10

Tratrol entries

Quadroobawantra

{10,10,10,10,100 (1) 3} & 10

Quadrootrol entries?

Quintoobawantra

{10,10,10,10,10,100 (1) 3} & 10

Nice!

Goobawanquadra

{10,100 (1) 4} & 10

Gooquadrol entries :)

Gibbawanquadra

{10,100,2 (1) 4} & 10

By Douglas Shamas Jr.

Gabbawanquadra

{10,100,3 (1) 4} & 10

Oh. I know

Boobawanquadra

{10,10,100 (1) 4} & 10

Troobawanquadra

{10,10,10,100 (1) 4} & 10

Goobawanquinta

{10,100 (1) 5} & 10

My favorite number...

Gibbawanquinta

{10,100,2 (1) 5} & 10

He almost forgot this number!

{10,100,2 (1) 6} & 10

There are not many ranged numbers, so they are not going to have names

Emperatrix

{10,10 (1) 10} & 10

Gossablossla

{10,10 (1) 100} & 10

{10,100 (1) 1,2} & 10

{10,100 (1) 2,2} & 10

{10,100 (1) 3,2} & 10

Gissablossla

{10,10 (1) 100,2} & 10

Gassablossla

{10,10 (1) 100,3} & 10

Geesablossla

{10,10 (1) 100,4} & 10

Gussablossla

{10,10 (1) 100,5} & 10

Hyperlatrix

{10,10 (1) 10,10} & 10

Mossablossla

{10,10 (1) 10,100} & 10

Missablossla

{10,10 (1) 10,100,2} & 10

Massablossla

{10,10 (1) 10,100,3} & 10

Meesablossla

{10,10 (1) 10,100,4} & 10

Mussablossla

{10,10 (1) 10,100,5} & 10

Bossablossla

{10,10 (1) 10,10,100} & 10

Bissablossla

{10,10 (1) 10,10,100,2} & 10

Bassablossla

{10,10 (1) 10,10,100,3} & 10

Beesablossla

{10,10 (1) 10,10,100,4} & 10

Trossablossla

{10,10 (1) 10,10,10,100} & 10

Trissablossla

{10,10 (1) 10,10,10,100,2} & 10

Trassablossla

{10,10 (1) 10,10,10,100,3} & 10

Quadrossablossla

{10,10 (1) 10,10,10,10,100} & 10

Quintossablossla

{10,10 (1) 10,10,10,10,10,100} & 10

Sextossablossla

{10,10 (1) 10,10,10,10,10,10,100} & 10

Diteratrix

{10,10 (1)(1) 2} & 10

Goobaduamba

{10,100 (1)(1) 2} & 10

Gibbaduamba

{10,100,2 (1)(1) 2} & 10

Gabbaduamba

{10,100,3 (1)(1) 2} & 10

Boobaduamba

{10,10,100 (1)(1) 2} & 10

Troobaduamba

{10,10,10,100 (1)(1) 2} & 10

Goobaduantra

{10,100 (1)(1) 3} & 10

Gibbaduantra

{10,100,2 (1)(1) 3} & 10

Goobaduanquadra

{10,100 (1)(1) 4} & 10

Admiratrix

{10,10 (1)(1) 10} & 10

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