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Author Topic: "My number is bigger!" (Remake)  (Read 2518 times)

Gingeas

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"My number is bigger!" (Remake)
« on: December 07, 2014, 10:13:37 am »
Similar to most threads; your post must have a number:
1. Bigger than the last number posted
2. Without any infinities
3. That is understandable
4. That does not have a reference to the last number (ie. "Your number plus one")

I'll start off with something relatively massive...
42. ;)
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10ebbor10

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Re: "My number is bigger!" (Remake)
« Reply #1 on: December 07, 2014, 10:23:47 am »
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Gingeas

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Re: "My number is bigger!" (Remake)
« Reply #2 on: December 07, 2014, 03:22:19 pm »
Quote from: 10ebbor10 on December 07, 2014, 10:23:47 am
http://en.wikipedia.org/wiki/Graham%27s_number


/thread

Graham's number:
G(0) = 4
G(n) = 3^(G(n-1))^3

Your number is G(64) = 3^(G63)^3

In response, my number is
G(G(G(128))), that is, G(128) nested twice within Graham's "function."

/Thread
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10ebbor10

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Re: "My number is bigger!" (Remake)
« Reply #3 on: December 07, 2014, 03:28:06 pm »
Quote
That does not have a reference to the last number (ie. "Your number plus one")
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Gingeas

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Re: "My number is bigger!" (Remake)
« Reply #4 on: December 07, 2014, 03:44:17 pm »
Quote from: 10ebbor10 on December 07, 2014, 03:28:06 pm
Quote
That does not have a reference to the last number (ie. "Your number plus one")

Okay, well in that case, TREE(TREE(TREE(...(999)...))) with TREE(10) levels of recursion.

https://en.wikipedia.org/wiki/Kruskal%27s_tree_theorem
http://googology.wikia.com/wiki/TREE_sequence
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Gingeas

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Re: "My number is bigger!" (Remake)
« Reply #5 on: December 07, 2014, 05:01:08 pm »
Quote from: Ispil on December 07, 2014, 04:21:00 pm
SCG(G)

http://www.cs.nyu.edu/pipermail/fom/2006-April/010362.html

Damnit Gingeas, you tripped me up- I was going to just do fast-growing hierarchies and be done with it, but nooo. You had to do the one that grows faster.

Oh dang, that escalated quickly.

Rayo(...(Rayo(Ξ(42^^42))...) with 42 nested levels. ;)

http://googology.wikia.com/wiki/Rayo%27s_number
http://googology.wikia.com/wiki/Xi_function
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Remuthra

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Re: "My number is bigger!" (Remake)
« Reply #6 on: December 07, 2014, 05:55:04 pm »
n, where n is an arbitrarily high number.
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Gingeas

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Re: "My number is bigger!" (Remake)
« Reply #7 on: December 07, 2014, 06:30:58 pm »
Well, that was fun while it lasted. At least our numbers got to over 9000!
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Gingeas

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Re: "My number is bigger!" (Remake)
« Reply #8 on: December 07, 2014, 07:24:19 pm »
Had the "no infinities" rule been non-existent, I would imagine Alemagno or Aarex showing up with some crazy notation of some sort... haha.
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Gingeas

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Re: "My number is bigger!" (Remake)
« Reply #9 on: December 07, 2014, 08:48:15 pm »
Aleph fixed point master race!
Absolute infinity master race!

But yeah, Cantor would be crying right now if he was still alive.
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