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/sci/ - Science & Math


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File: 35 KB, 305x222, Rayo.png [View same] [iqdb] [saucenao] [google]
9243999 No.9243999 [Reply] [Original]

It's about time for another biggest number competition!
The only rule is that any constants or functions used must be defined (if it's well known, naming it is enough) in the post. This means no using other anons' numbers without redefining them first!
Bonus points for sexy [math] \LaTeX [/math]!

>> No.9244001

OP here, I'll start it simple:
[math]
10^{100}
[/math]

>> No.9244009

[eqn]
\prod\limits_{n=1}^{10^{100}}n^n
[/eqn]

>> No.9244024

ten

>> No.9244027

>>9243999
xkcd not welcome

>> No.9244029

Do we exclude complex numbers? If not then we will never know...

>> No.9244035

>>9244009
What is that?

>> No.9244051
File: 9 KB, 345x186, ss+(2017-10-19+at+07.12.56).png [View same] [iqdb] [saucenao] [google]
9244051

>>9243999
[math]G^{G^{G^{G^{G^{G^{G}}}}}}[/math]

>> No.9244055

>>9244051
hmm, odd. it displayed fine in the preview, and i just pasted it out.

oh well. this is a dumb thread and a bad response such as this one is all it deserves anyways

>> No.9244056

>>9243999
[math]10^{100} \uparrow \uparrow \uparrow \uparrow \uparrow \uparrow \uparrow 10^{100}[/math]

The up arrows are this https://en.wikipedia.org/wiki/Knuth%27s_up-arrow_notation


Get on my level noobs

>> No.9244060

>>9244055
You might've overdone it, idk

>> No.9244061

>>9244056
>>>youtube.com/numberphile
>>>/highschool/

>> No.9244064

>>9244035
[math]1^1 \cdot 2^2 \cdot ... \cdot (10^{100})^{10^{100}}[/math]

>> No.9244067

>>9244061
I watch neither numberphile nor do I attend highschool, I don't get what you're trying to say

>> No.9244077

>>9244067
Only highschoolers don't know about knuth, only highschooler that watch numberphile know about knuth's arrow notation
put the two together and only a highschooler that watches numbersphile would think knuth's arrow notation is obscure as evidenced by "get on my level"
now kys underager

>> No.9244086

Googolplex*Graham's#^0

>> No.9244094

>>9244077
I'm always amazed at what internet strangers think they can learn from someone with such limited information. I'm a second year at U of T, doing analysis ii under the great Edward Bierstone

>> No.9244102

>>9243999
-1/12

>> No.9244112

C-(1/C)

>> No.9244113

Define by induction the following sequence of functions:
[math]f_0(n) = n+1[/math]
and
[math]f_{k+1}(n) = f_k^n(n)[/math]
where f^n is the function f composed n times with itself.

e.g.,
[math]f_1(n) = n + 1 + 1 + \ldots + 1 = 2n[/math] since "+1" appears n times.
[math]f_2(n) = 2 \times 2 \times \ldots \times 2 \times n = 2^n \times n[/math]
[math]f_3(n) \ge 2^{2^{\cdots^n}}[/math], a tower of exponentials of size n.

Now define:
[math]f_\omega(n) = f_n(n)[/math]
This is basically the Ackerman function.

We can go beyond: [math]f_{\omega+1}(n)
= f_\omega^n(n) [/math]

[math]f_{\omega+1}(64)[/math] is about as big as Graham's number.
The "use the Ackerman function with Graham's number" xkcd joke is actually just [math]f_{\omega+1}(65)[/math]

Define similarly [math]f_{\omega+k}[/math] for all k.
Define [math]f_{2 \omega}(n) = f_{\omega + n}(n)[/math]

We can keep going, define [math]f_{k \omega}[/math] for all k.
Then by the same process define [math]f_{\omega^2}[/math], then [math]f_{\omega^\omega}[/math].

Eventually we get to an infinite tower of omegas,
[math]\omega^{\omega^{\omega^\cdots}}[/math] which is called [math]\epsilon_0[/math].

[math]f_{\epsilon_0}[/math] grows about as fast as the Goodstein sequence.
[math]f_{\epsilon_0+1}(100)[/math] is bigger than the kinda famous TREE(3) number.

Of course you can keep going till [math]\epsilon_1[/math], [math]\epsilon_\omega[/math], [math]\epsilon_{\epsilon_0}[/math], an infinite tower of epsilons, etc.

>> No.9244118

>>9244112
being C the sum of the set of complex numbers

>> No.9244119

>>9244056
Graham's number is vastly larger.

>> No.9244136

the smallest number that cannot be defined in less than thirteen words

>> No.9244145

the opposite of the size of your penis hehe

>> No.9244148

>>9244145
doesn't hold if you have an innie

>> No.9244163

TREE(3)

>> No.9244176

>>9244163
ah so you saw the new numberphile video today?

>> No.9244183

>>9244094
im third year u of t

quit being such a dweeb we're not special for going to this school

>> No.9244186

>>9244176
I didnt understand your question so I will not answer it

>> No.9244191

[math]
ℵ_G
[/math]
Where G is Graham's number.

>> No.9244201

infinite+1

>> No.9244215

>>9244186
What's your native language? I'll translate for you

>> No.9244217

>>9244215
xiri language

>> No.9244221
File: 120 KB, 747x1120, 774898fa9f3a471b250e00a4f694c4da.jpg [View same] [iqdb] [saucenao] [google]
9244221

>>9244113
that's a big number

>> No.9244245

Define [math] f(n):~\mathbb{R}^+\rightarrow\mathbb{N} [/math] to be the least integer [math] m [/math] such that [math] \frac{\varphi(m)}{m-1} < n [/math].
[eqn]
f\left(\frac{1}{\textrm{TREE}(3)}\right)
[/eqn]

>> No.9244251

>>9244245
>>9244163
TREE(4)

>> No.9244263

>>9244251
TREE(TREE(5))

>> No.9244265

>>9244263
TREE(10000)^TREE(100000)

>> No.9244268

>>9244263
TREE(TREE(5)) + 1

>> No.9244287

TREE(TREE(TREE(TREE(1000))))

>> No.9244307

>>9244287
TREE(TREE(TREE(TREE(1000)))) + 1

>> No.9244334

>>9244307
TREE(TREE(TREE(TREE(1000)))) + 2
BTFO
TT
F F
O F

>> No.9244335
File: 94 KB, 950x720, 1507609165715.jpg [View same] [iqdb] [saucenao] [google]
9244335

>>9243999
itt: retards using digits that aren't 9

Why would you write 10 or 3 when you can write 99 or 9 instead

>> No.9244342
File: 3.42 MB, 3840x5760, 1507667103356.jpg [View same] [iqdb] [saucenao] [google]
9244342

>>9244335
Anyway the obvious answer for a given number of characters is

TREE(TREE(TREE(TREE(...9

>> No.9244364

>>9244148
An innie penis?

>> No.9244378

>>9244119
this

>> No.9244381

>>9244334
TREE(TREE( ... (TREE(420) ... ))
where the length is TREE(3)

>> No.9244382

>>9243999
the size of my BBC.

>> No.9244386

>>9244183
You seem to have the 'tism. Be sure not to give it to other aspiring students

>> No.9244389

>>9244381
TREE(TREE( ... (TREE(420) ... ))
where the length is TREE(4)
Checkmate

>> No.9244397

>>9244389
fugg

>> No.9244412

>>9244389
his number plus one

>> No.9244413

BB^(BB(1000))(1000) where the ^(BB(1000)) part denotes functional composition and BB is the Busy Beaver function.

>> No.9244418

>>9244413
>>9244389
these two numbers added together plus one

>> No.9244422

>>9244418
Your number plus one half

>> No.9244426

>>9244422
damn

>> No.9244436
File: 650 KB, 499x699, 1441740108082.gif [View same] [iqdb] [saucenao] [google]
9244436

eleventy

>> No.9244453

>>9244389
This number to the power of
>>9244413
This number

>> No.9244589

>>9244453
that number plus three and six thirty-fifths

>> No.9244614

>>9244221
>>9244221
>>9244221
>>9244221

>> No.9244620

>>9243999
>any number you can fit on a white board
All numbers can fit on a white board.

>> No.9244621

[eqn]\infty[/eqn]

>> No.9244636

>>9243999
BIG FOOT

>> No.9244649

>>9244620
The smallest number that cannot fit on a white board.

>> No.9245570

>>9244621
Infinite isn't a number it's a concept

>> No.9245639

Let [math]x[/math] be number such that
[math]y \leq x < \infty[/math] for all [math]y \neq \infty[/math]

Can't get bigger than that tbqh famalam.

>> No.9245651
File: 46 KB, 4504x6456, biggest number.gif [View same] [iqdb] [saucenao] [google]
9245651

>all the branlets in this ITT

>> No.9245654

>>9244221
TREE(4U)

>> No.9245675

Let n be the sum of all the numbers in this thread.

>> No.9245686

>>9244001
10x10^125

>> No.9245709

>>9245675
this number + 1.

>> No.9245739
File: 90 KB, 982x622, BIG NUMBER.png [View same] [iqdb] [saucenao] [google]
9245739

>>9245651

>> No.9245742

Let X be a number such that X > all number expressed on this thread.

>> No.9245743

>>9245742
Let X be the number of anons that didn't properly read the OP.

>> No.9245744

- BB^(BB(9999)) (9999)

take that, >>9245675
you're now the second smallest number ITT

>> No.9245749

1/infinitesimal

checkmate atheists.

>> No.9245750

>>9244113
Actually TREE(3) is way beyond that: https://math.stackexchange.com/questions/1950116/where-does-treen-sit-on-the-fast-growing-hierarchy

>> No.9245754

>>9245743
Let X = max{all number in this thread}
then TREE(X)
what now?

>> No.9245755

>>9244094
can you move to america, renounce your citizenship and never visit canada gain? youre making my county look like shit with how much of a fucking twat you are

>> No.9245757

>>9245742
>>9245754
Both are infinite recursions and therefore not well-defined, dumbass

>> No.9245761

Let X = X + 1

>> No.9245774

>>9245757
[math]\textup{Let } Y = \{x \in \mathbb{R} | x \in this thread excluding this post \}. \textup{Let }y = \textup{TREE}(\max Y)[/math]
Acceptable now?

>> No.9245798

>>9245774
My number is [eqn] your number + \lim_{n\to\infty}10^{-n}[/eqn]

Get rekt, kid

>> No.9245799
File: 64 KB, 689x1023, 0au3LDK.jpg [View same] [iqdb] [saucenao] [google]
9245799

>>9243999

>> No.9245807

>>9243999
Extend [math]\mathbb{R}[/math] to [math]\bar{\mathbb{R}}=\mathbb{R}\cup \{-\infty,\infty\}[/math].

Boom, [math]\infty[/math] is a number now and it is the biggest number.
You're welcome.

>> No.9245815

>>9245798
[math]\lim_{n\to\infty}10^{-n}=0[/math], so you still have the same number as your #rekt friend, retard.

>> No.9245816

>>9245807
>Using the same name for two different things
Found the brainlet

>> No.9245823

>>9245816
OP doesn't say which space we're in, rETARD

>> No.9245825

>>9245807

Wrong.

>> No.9245835

>>9245825
Why then, dumbass?
OP only implies we're working in a totally ordered space with numbers.

>> No.9245836

>>9245755
underrated comment
what is it with this U of Tard and others like him thinking that drawing attention to himself and his lifestory on an anonymous imageboard will ever make up for never having anyone's respect irl

>> No.9245838

>>9245836
inb4 >you probably go to western

>> No.9245844

a brazilian

>> No.9245853

>>9244621
-(1/12)

>> No.9245856

>>9245739
>tried to make it
>failed to make it
my number is bigger because it exists :^)

>> No.9245863

>>9245675
Other comments are also recursively defined by other comments, so...
ill-defined [math]\implies[/math] you lost

>> No.9245893

>>9245835

Infinity is not a number. You could extend the real number line with whatever stupid shit you want to extend it with. That doesn't mean the things you added to the group become numbers.

>> No.9245977

Here's my answer
[math]Your number + 1[/math]

>> No.9245991

tree(3) fiddy

>> No.9245993

ur moms weight lmao

>> No.9246004

>>9244335
why would you write 9 when you can write 10 instead

>> No.9246646

>>9244102
underrated

>> No.9246814

>>9245836
Most likley he wasn't trying to draw attention to himself but to say that you can't make assumptions or create a lifestory form just one post or a single piece of evidence. Or he could just be a faggot.

>> No.9246839

>>9243999
n+1, where n is the highest number posted in this thread

>> No.9246844

let [eqn]
m \uparrow n = \left. m^{m^{\cdot^{\cdot^{\cdot^{m}}}}} \right\rbrace n \text{ times}[/eqn]
let
[eqn] m \boxtimes n = m \underbrace{ \uparrow \uparrow \uparrow \dots \uparrow}_\text{$n$ times} n [/eqn]
let
[eqn] m \boxtimes^c n = m \underbrace{ \boxtimes \boxtimes \boxtimes \dots \boxtimes}_\text{$c$ times} n [/eqn]
now defining the series with the recursion relation
[eqn] C_n = C_{n-1} \boxtimes^{C_{n-1}} C_{n-1} [/eqn]
and [maths]C_1 = G_{64}[/maths] (Graham's number)
then my number is [eqn]
C_{G_{64}}
[/eqn]

>> No.9246909

>>9246844
Let [math]X = TREE(3) \uparrow \ldots \uparrow TREE(3)[/math]. How many arrows? TREE(3).
Now this is only the first layer.

Let's now define the succession [math]X_n = TREE(X) \uparrow \ldots \uparrow TREE(X)[/math] where the number of arrows is [math]X_{n-1}[/math]. Now I take my succession at the term [math]X_{C_{G_{64}}}[/math].

>> No.9247024

This sucks, make it so that you have to prove your number is larger than the previous thread record.

>> No.9247034

>>9245675
+
>>9245807
+
>>9246844

>> No.9247059

>>9247034
+1

>> No.9247068

>>9244035
Brainlet, the post

>> No.9247118

>>9247059
+0.1

>> No.9247144

>>9244176
These threads have existed for ages and the TREE function has been the standard response.

>> No.9247161

>>9243999
The maximum length of a straight line

>> No.9247270

>>9247161
What about the maximum length of a homosexual line?

>> No.9247275

>>9244009
The eight busy beaver number

>> No.9247281
File: 296 KB, 388x424, the number 5.png [View same] [iqdb] [saucenao] [google]
9247281

>>9245739

>> No.9247577

[math]\sqrt(4)=2[\math]

>> No.9247589

Infinite
i win

>> No.9247670

>>9244102

-1/12 + 1

>> No.9247683

TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(TREE(9)..)

>> No.9247691

>>9247670

TREE(-1/12)

>> No.9247725

>>9247683
>>9247691
these numbers multiplied together plus sixteen

>> No.9248222

>>9245639
no such [math]x[/math] exists.

>> No.9248946

>>9247281
this fucking fag looks like he's always high on adderall on each of his videos

>> No.9248991

>>9243999
1.
I win. Nobody in this thread can post a bigger number, they can only post my number more times than me in varying degrees of notation.

>> No.9249064

>>9248946
he's high on illegal primes

>> No.9249129

>>9244094
I literally had to google what U of T is. Also do you really think theres much of a difference between high school and 2nd year noob?

>> No.9249219

Every number ever combined

>> No.9249315

>>9249219
this plus one

>> No.9249317

>>9244386
>'tism
kys buddy

>> No.9249391

>>9247691
10^(10^100)^(TREE(-1/12))

>> No.9249430

[math] \omega [/math]

>> No.9249546

>>9243999
14.

But not just regular 14, Super-Ultra-Mega 14.

>> No.9249682

>>9243999
9↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑9

>> No.9249690

>>9244201
That would still be infinte

>> No.9249692

>>9248991
1.3

>> No.9249705

>>9244113
>Eventually we get to an infinite tower of omegas
>Eventually
When exactly does this happen?

>> No.9249707

>>9247683
[math]\mathrm{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{TREE^{}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}(9)}[/math]

>> No.9249710
File: 1.97 MB, 224x400, pkf7e6qtkihy.gif [View same] [iqdb] [saucenao] [google]
9249710

>>9249682
>>9249707
You up arrow and tree faggots have nothing on the busy beaver.

>> No.9249720

>>9243999
1/(size of OP's penis)

>> No.9249722

>>9249720
>dividing by zero

>> No.9249727

>>9249722
That's an infinitesimal, not zero.

>> No.9249735

1/0

>> No.9249765

7

>> No.9249767

>>9249682
This +1.

>> No.9251446

SSCG(3)

>> No.9251567

The largest number that has been written will be written + 1 including any and all references to this number

>> No.9251574

[math]x [/math]
Where x is defined as the largest number.

>> No.9251597

BB(1000)

>> No.9251600

>>9251574
x+1

>> No.9251603

I assume everyone here have read the essay by Scott, right?

https://www.scottaaronson.com/writings/bignumbers.html

>> No.9251736

>>9251567
you cannot write +1 if you ran out of capacity

largest number can be written if the capacity is defined, such as post character limit, or number of atoms in universe

>> No.9251737

>>9251600
x = x + 1

>> No.9251749

>>9243999

Let X be an arbitrarily large number.

X.

>> No.9251918

This thread crashed my computer, I guess I'll have to upgrade it to run bigger numbers.

>> No.9252021
File: 46 KB, 275x184, images.png [View same] [iqdb] [saucenao] [google]
9252021

INFINITE x 2

I WON, FUCK YOU ALL

>> No.9252289
File: 35 KB, 408x450, 6355FC8F-F0A5-4FF2-9427-242F543053E6.png [View same] [iqdb] [saucenao] [google]
9252289

uhhhhhhhhh

7

>> No.9252492
File: 167 KB, 1000x847, 1507422456284.jpg [View same] [iqdb] [saucenao] [google]
9252492

The number of binary states in the universe, all set to 1. This is the largest possible number.

t. wildberger

>> No.9252562

>>9252492
*zeno's laterally*

>>9252289
its the biggerest so far >>9245651

>> No.9252574

The sum of all positive numbers represented in this thread (before and after this reply) + 1

Where's my medal

>> No.9252584
File: 600 KB, 1440x1024, Sushi_Kokuu_Hen_ep7_p11.jpg [View same] [iqdb] [saucenao] [google]
9252584

http://googology.wikia.com/wiki/Fish_number_7

>> No.9252587

>>9252021
Aleph-one

>> No.9252593

>>9252574
you get the medal for being retarded because OP said you're not allowed to reference other anon numbers without redefining them

>> No.9252596

-1/12

>> No.9252669

-1/12 + -1/12

>> No.9252744

While working in base <insert big number>
10.

>> No.9252823
File: 111 KB, 991x806, trolled.png [View same] [iqdb] [saucenao] [google]
9252823

>>9243999
THE NUMBER OF TIMES I BANGED UR MOM LOL

>> No.9252830

>>9244102
/thread

>> No.9254094

>>9244009
that, but +1

>> No.9254108

{\displaystyle \aleph _{0}} \aleph_0

>> No.9254381

>>9248991
Ah, you posted before me. I was gonna say 1 as well.
Congratz

>> No.9254484

>>9243999
<Observer Interpretation/Translation> + 1

Physics + Math

>> No.9254495

e^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)^TREE(3)

>> No.9254502

TREE(3)↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑TREE(3)

>> No.9254506

The length of my dick

>> No.9254514

>>9254495
>>9254502
>I understand that TREE is an amazingly big function, but I will still mix it with other laughably small functions
might as well write e^(1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1)...

>> No.9254529

[eqn] \aleph_\aleph [/eqn]

>> No.9254559

TREE_G(G), where G is Graham's number.

>> No.9254586

Take the largest number such that, given some arbitrarily large finite amount of time, the entire computing power of the planet can compute it in its entirety.
Add 1 to that.

>> No.9254593

>>9254586
Lets call that number "B"

B^B +1

mines bigger ;^)

>> No.9254595
File: 18 KB, 554x400, 1497933376635[1].jpg [View same] [iqdb] [saucenao] [google]
9254595

infinity

>> No.9254605

TREE(-1/12)
troled hard!

>> No.9254614
File: 4 KB, 665x469, image.png [View same] [iqdb] [saucenao] [google]
9254614

7^5

>> No.9254656
File: 116 KB, 900x900, photo.jpg [View same] [iqdb] [saucenao] [google]
9254656

ж, where ж is defined to be the largest integer.

>> No.9254959

>>9254605
TREE(x) isn't defined for negative values of x, dummy.
Also, -1/12 as a finite number isn't massive, it just happens to be the result of the infinite sum of all positive counting numbers.

>> No.9254962

52

>> No.9254983

[math]n[/math]

>> No.9254990

>>9254656
ж+1

>> No.9254992

>>9254983
[eqn] \Pi_{n=1}^{n=100!} n!!!!!!!! [\eqn]

>> No.9255453
File: 33 KB, 660x396, _62558092_15.thecountand8-richardtermine.jpg [View same] [iqdb] [saucenao] [google]
9255453

>>9243999
Infinity

no wait

>> No.9256700
File: 220 KB, 480x366, 12670610_210298282650853_7066191555450571886_n.png [View same] [iqdb] [saucenao] [google]
9256700

>>9246004
Why write 10 when you can write 99 instead?

>> No.9256724

>>9254529
[math]\aleph_\aleph \uparrow \aleph_\aleph[/math]

>> No.9257047

>>9243999
Define [math] S(n) [/math] to be the maximum number of shits made by any halting [math] n [/math]-state binary turing machine.

Define [math] \mathcal{S}(m,n) [/math] recursively:
[math] \mathcal{S}(0,n) = S(n) \\
\mathcal{S}(m,0) = \mathcal{S}(m-1,1) \\
\mathcal{S}(m,n) = \mathcal{S}(m-1,\mathcal{S}(m,n-1))\qquad\mathrm{if}~n,m\neq0 [/math]

My number is [math] \mathcal{S}(\mathrm{TREE}(3),\mathrm{TREE}(3)) [/math]

>> No.9257056

>>9248222
Prove it.

>> No.9257062

a where a>a+1

>> No.9257605

>>9244364
Its pussy

>> No.9258314

>>9254992
10!!! is much less than 10!, look up multifactorials.

>> No.9258339

>>9244009
>>9244051
[math]\text{Let }a \text{ be the number defined as such: } [/math]

[math]a:= \underbrace{\Gamma \circ \dots \circ\Gamma}_{G\uparrow\uparrow\uparrow \uparrow \uparrow G\text{ times}} \left({\prod_{n=1}^{10^{100}}n^n}\right)[/math]

[math]\text{Let }f_1\left( x\right) := x^a[/math]
[math]\text{Let } f_{n+1}(x) = f_n^{f_n(x)}(x)[/math]

[math]\text{Then /sci/'s biggest number can be written like the following:}[/math]

[math]f_a(G)[/math]

>> No.9259112
File: 176 KB, 260x292, 1506673566576.gif [View same] [iqdb] [saucenao] [google]
9259112

>>9243999
Everyone's number.

PLUS ONE!

>> No.9259117

>>9259112
dumb weeb

>> No.9259454
File: 15 KB, 369x720, digital-39747_960_720.png [View same] [iqdb] [saucenao] [google]
9259454

>>9245651
8 uses all the spaces on a digital clock, so surely it is the biggest number

>> No.9259641

>>9244029
What's this definition of a "big" complex number?

>> No.9259652

>>9243999
PEPE(1) is the largest number

>> No.9259681

Yall mind if i hit that ... ALEF_NULL

>> No.9259784

>>9258339
[math]f_a(G) + 1 [/math]

>> No.9259808

The sum of all the numbers in this thread excluding the numbers mentioned in this post.

>> No.9259982

>>9254656
Let [math]u[/math] be the universe of discourse in which OPs post is based. Define [math] \ddot{\mathfrak{z\!z}} [/math] as the unique number satisfying "the biggest number", that is [math] x \leq \ddot{\mathfrak{z\!z}} [/math] for all [math] x\in u [/math].
Then for each [math] y > \ddot{\mathfrak{z\!z}} [/math] we have [math] y\not\in u [/math], meaning any such number cannot satisfy OPs post, especially yours

>> No.9260037

>>9259982
>the unique number
Prove its uniqueness.

>> No.9260231

Collective Multidimensional stupidity