My number is bigger?

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lllllllllwith10ls
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My number is bigger?

Postby lllllllllwith10ls » 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
mom fapathi

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chridd
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Re: My number is bigger?

Postby chridd » Sun May 12, 2019 5:00 am UTC

-3.99999999999999999999999999999999999999999999999999
~ chri d. d. /tʃɹɪ.di.di/ (Phonotactics, schmphonotactics) · she · Forum game scores
mittfh wrote:I wish this post was very quotable...

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SuperJedi224
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Re: My number is bigger?

Postby SuperJedi224 » Sun May 12, 2019 11:37 am UTC

-2sqrt(3)

SuperNerd
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Re: My number is bigger?

Postby SuperNerd » Sun May 12, 2019 3:32 pm UTC

-3

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Sun May 12, 2019 4:19 pm UTC

log_10(0.002)
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chridd
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Re: My number is bigger?

Postby chridd » Sun May 12, 2019 5:28 pm UTC

0.3 × log2(0.002)
~ chri d. d. /tʃɹɪ.di.di/ (Phonotactics, schmphonotactics) · she · Forum game scores
mittfh wrote:I wish this post was very quotable...

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Sun May 12, 2019 6:20 pm UTC

2i2
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SuperJedi224
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Re: My number is bigger?

Postby SuperJedi224 » Sun May 12, 2019 9:10 pm UTC

-sqrt(11/3)

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Sun May 12, 2019 9:22 pm UTC

9001
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solune
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Re: My number is bigger?

Postby solune » Mon May 13, 2019 11:45 am UTC

1e4 - 998

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SuperJedi224
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Re: My number is bigger?

Postby SuperJedi224 » Mon May 13, 2019 12:05 pm UTC

9.84

solune
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Re: My number is bigger?

Postby solune » Mon May 13, 2019 3:27 pm UTC

3^2 * 2^10 + 17

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SuperJedi224
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Re: My number is bigger?

Postby SuperJedi224 » Mon May 13, 2019 4:41 pm UTC

11*(6!+5!+4!+3!+2!+1!)

solune
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Re: My number is bigger?

Postby solune » Mon May 13, 2019 8:46 pm UTC

3 times 3210

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Mon May 13, 2019 9:14 pm UTC

45^2.5
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SuperJedi224
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Re: My number is bigger?

Postby SuperJedi224 » Mon May 13, 2019 11:14 pm UTC

114

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Mon May 13, 2019 11:30 pm UTC

(3^3)^3
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SuperJedi224
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Re: My number is bigger?

Postby SuperJedi224 » Tue May 14, 2019 1:26 am UTC

124

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Tue May 14, 2019 1:44 am UTC

Le's just skip straight to the good stuff

10^10^100
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SuperJedi224
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Re: My number is bigger?

Postby SuperJedi224 » Tue May 14, 2019 1:45 am UTC

That far already?

10100!

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Tue May 14, 2019 1:50 am UTC

Yup

10^10^200
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SuperJedi224
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Re: My number is bigger?

Postby SuperJedi224 » Tue May 14, 2019 2:06 am UTC

(120!)!

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Tue May 14, 2019 2:14 am UTC

10^10^(100!)
mom fapathi

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SuperJedi224
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Re: My number is bigger?

Postby SuperJedi224 » Tue May 14, 2019 2:25 am UTC

10^^5

solune
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Re: My number is bigger?

Postby solune » 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

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Tue May 14, 2019 2:47 pm UTC

Let x^^y = x↑↑y

My number is 10^^100
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Flumble
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Re: My number is bigger?

Postby Flumble » Tue May 14, 2019 2:50 pm UTC

10^^100+8

solune
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Re: My number is bigger?

Postby solune » Tue May 14, 2019 2:57 pm UTC

10↑↑(100+8)

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Tue May 14, 2019 3:23 pm UTC

x^^^0 = 1
x^^^(n+1) = x^^x^^^n

My number is 10^^^10
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Flumble
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Re: My number is bigger?

Postby Flumble » Tue May 14, 2019 3:47 pm UTC

Is that (x^^x)^^^n or x^^(x^^^n)? :mrgreen:

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

solune
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Re: My number is bigger?

Postby solune » 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

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Flumble
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Re: My number is bigger?

Postby Flumble » Tue May 14, 2019 6:40 pm UTC

Rounding τ slightly:

20↑↑↑20

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phillip1882
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Re: My number is bigger?

Postby phillip1882 » 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
good luck have fun

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Tue May 14, 2019 8:44 pm UTC

mom fapathi

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phillip1882
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Re: My number is bigger?

Postby phillip1882 » Wed May 15, 2019 2:31 am UTC

extending from my previous post,
x ->->y = x->x->x..->x y times
100->->100
good luck have fun

PsiCubed2
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Re: My number is bigger?

Postby PsiCubed2 » Wed May 15, 2019 6:18 am UTC

I've been wondering when XKCD will have another one of these. :mrgreen:

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.

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lllllllllwith10ls
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Re: My number is bigger?

Postby lllllllllwith10ls » Wed May 15, 2019 9:51 pm UTC

s(10,10,1,1,2)
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phillip1882
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Re: My number is bigger?

Postby phillip1882 » Thu May 16, 2019 12:06 am UTC

1000->->->->1000
good luck have fun

PsiCubed2
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Re: My number is bigger?

Postby PsiCubed2 » Thu May 16, 2019 5:51 am UTC

I don't think that's large enough

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SuperJedi224
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Re: My number is bigger?

Postby SuperJedi224 » 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


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