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### My number is bigger?

Posted: Sat May 11, 2019 9:39 pm UTC
Rules:
1. Has to be recursive (no uncomputables)
2. Has to be finite
3. Has to be bigger than the last entry
4. Notations must have either a link to a definition or a definition in the post
I'll start off with -4

### Re: My number is bigger?

Posted: Sun May 12, 2019 5:00 am UTC
-3.99999999999999999999999999999999999999999999999999

### Re: My number is bigger?

Posted: Sun May 12, 2019 11:37 am UTC
-2sqrt(3)

### Re: My number is bigger?

Posted: Sun May 12, 2019 3:32 pm UTC
-3

### Re: My number is bigger?

Posted: Sun May 12, 2019 4:19 pm UTC
log_10(0.002)

### Re: My number is bigger?

Posted: Sun May 12, 2019 5:28 pm UTC
0.3 × log2(0.002)

### Re: My number is bigger?

Posted: Sun May 12, 2019 6:20 pm UTC
2i2

### Re: My number is bigger?

Posted: Sun May 12, 2019 9:10 pm UTC
-sqrt(11/3)

### Re: My number is bigger?

Posted: Sun May 12, 2019 9:22 pm UTC
9001

### Re: My number is bigger?

Posted: Mon May 13, 2019 11:45 am UTC
1e4 - 998

### Re: My number is bigger?

Posted: Mon May 13, 2019 12:05 pm UTC
9.84

### Re: My number is bigger?

Posted: Mon May 13, 2019 3:27 pm UTC
3^2 * 2^10 + 17

### Re: My number is bigger?

Posted: Mon May 13, 2019 4:41 pm UTC
11*(6!+5!+4!+3!+2!+1!)

### Re: My number is bigger?

Posted: Mon May 13, 2019 8:46 pm UTC
3 times 3210

### Re: My number is bigger?

Posted: Mon May 13, 2019 9:14 pm UTC
45^2.5

### Re: My number is bigger?

Posted: Mon May 13, 2019 11:14 pm UTC
114

### Re: My number is bigger?

Posted: Mon May 13, 2019 11:30 pm UTC
(3^3)^3

### Re: My number is bigger?

Posted: Tue May 14, 2019 1:26 am UTC
124

### Re: My number is bigger?

Posted: Tue May 14, 2019 1:44 am UTC
Le's just skip straight to the good stuff

10^10^100

### Re: My number is bigger?

Posted: Tue May 14, 2019 1:45 am UTC

10100!

### Re: My number is bigger?

Posted: Tue May 14, 2019 1:50 am UTC
Yup

10^10^200

### Re: My number is bigger?

Posted: Tue May 14, 2019 2:06 am UTC
(120!)!

### Re: My number is bigger?

Posted: Tue May 14, 2019 2:14 am UTC
10^10^(100!)

### Re: My number is bigger?

Posted: Tue May 14, 2019 2:25 am UTC
10^^5

### Re: My number is bigger?

Posted: Tue May 14, 2019 8:18 am UTC
SuperJedi224 wrote:10^^5

It's time to define some terms, as per the o.p.
https://en.wikipedia.org/wiki/Tetration

sqrt(101)↑↑5

### Re: My number is bigger?

Posted: Tue May 14, 2019 2:47 pm UTC
Let x^^y = x↑↑y

My number is 10^^100

### Re: My number is bigger?

Posted: Tue May 14, 2019 2:50 pm UTC
10^^100+8

### Re: My number is bigger?

Posted: Tue May 14, 2019 2:57 pm UTC
10↑↑(100+8)

### Re: My number is bigger?

Posted: Tue May 14, 2019 3:23 pm UTC
x^^^0 = 1
x^^^(n+1) = x^^x^^^n

My number is 10^^^10

### Re: My number is bigger?

Posted: Tue May 14, 2019 3:47 pm UTC
Is that (x^^x)^^^n or x^^(x^^^n)?

In any case, using the analytic continuation of tetration which definitely extends to any integer-valued hyperoperator (proof is left as an exercise for the reader):

10^^^10.3

### Re: My number is bigger?

Posted: Tue May 14, 2019 5:08 pm UTC
oh, that opens so many possibilities

(2*τ)↑↑↑(2*τ) where τ is the only true circle constant

### Re: My number is bigger?

Posted: Tue May 14, 2019 6:40 pm UTC
Rounding τ slightly:

20↑↑↑20

### Re: My number is bigger?

Posted: Tue May 14, 2019 8:06 pm UTC
let 3 +3 = 6
let 3++3 = 3+3+3 = 9
let 3+++3 = 3++3++3 = 27

let x -> y = x+++..x y times.
9 -> 27 -> 81

### Re: My number is bigger?

Posted: Tue May 14, 2019 8:44 pm UTC

### Re: My number is bigger?

Posted: Wed May 15, 2019 2:31 am UTC
extending from my previous post,
x ->->y = x->x->x..->x y times
100->->100

### Re: My number is bigger?

Posted: Wed May 15, 2019 6:18 am UTC
I've been wondering when XKCD will have another one of these.

I'll stick to my letter notation:
1. [a,b]1=1
2. [0,0]n=10n
3. [a,b+1](n+1) = [a,b][a,b+1]n
4. [a+1,0]n = [a,n]10
5. En=[0,1]n ; Fn=[0,2]n ; Gn=[0,3]n ; Hn=[0,4]n ; Jn=[1,0]n ; Kn=[1,1]n ; Ln=[1,2]n ; Mn=[2,0]n

If I understood phillip's definitions correctly, his number is about K100. So I submit:

M3.

### Re: My number is bigger?

Posted: Wed May 15, 2019 9:51 pm UTC
s(10,10,1,1,2)

### Re: My number is bigger?

Posted: Thu May 16, 2019 12:06 am UTC
1000->->->->1000

### Re: My number is bigger?

Posted: Thu May 16, 2019 5:51 am UTC
I don't think that's large enough

### Re: My number is bigger?

Posted: Thu May 16, 2019 10:56 am UTC
Isn't phillip's number something like f[w+3](1000), if I'm understanding his notation correctly? (So yeah, I guess that's not big enough, after rereading your notation.)

Anyway, in X-Sequence Hyper-Exponential Notation, my number is:

100{X2+1}4 = 100{X2}100{X2}100{X2}100