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Author Topic: The biggest number game  (Read 1809 times)

silhouette

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Re: The biggest number game
« Reply #15 on: July 20, 2010, 05:31:24 am »

Where n = the highest value in this thread.

N+1

... hehehehe....
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ed boy

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Re: The biggest number game
« Reply #16 on: July 20, 2010, 06:17:04 am »

Where n = the highest value in this thread.

N+1

... hehehehe....
-Don't use other people's numbers in yours. For example, I don't want to see "X's number plus one".
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Armok

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Re: The biggest number game
« Reply #17 on: July 20, 2010, 11:33:18 am »

I don't know enough math to be very confident in it, but I still think line is larger.
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Toaster

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Re: The biggest number game
« Reply #18 on: July 20, 2010, 01:14:57 pm »

The problem is yours is indeterminate. The values of the BB function above 4 aren't known, as the function itself is noncomputable.  Ackermann is computable... it just takes forever.
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Ochita

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Re: The biggest number game
« Reply #19 on: July 20, 2010, 01:16:44 pm »

Quote
If you had enough time, write out as a sequence of digits
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SHAD0Wdump

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Re: The biggest number game
« Reply #20 on: July 20, 2010, 01:24:10 pm »

This will probably have me laughed out of the topic but...

Pi... For sheer numerical length.
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Armok

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Re: The biggest number game
« Reply #21 on: July 20, 2010, 01:28:37 pm »

I thoguht BB was incomputable in general, but any specific one like BB(3^^^3) can be computed but only by a longer program?
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Virex

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Re: The biggest number game
« Reply #22 on: July 20, 2010, 06:04:29 pm »

This will probably have me laughed out of the topic but...

Pi... For sheer numerical length.
Erm, the OP specifically excluded infinity :P
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SHAD0Wdump

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Re: The biggest number game
« Reply #23 on: July 20, 2010, 06:19:14 pm »

Erm, the OP specifically excluded infinity :P
You don't know it's infinite.
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Virex

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Re: The biggest number game
« Reply #24 on: July 20, 2010, 06:20:50 pm »

It is in any rational base. (Which makes me think of it, counting in base pi would be WEIRD). If we're assuming a rational base, then it's possible to prove that pi is irrational and as a result the length of pi must be infinite.
« Last Edit: July 20, 2010, 06:48:11 pm by Virex »
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Rolan7

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Re: The biggest number game
« Reply #25 on: July 20, 2010, 06:34:36 pm »

The problem is yours is indeterminate. The values of the BB function above 4 aren't known, as the function itself is noncomputable.  Ackermann is computable... it just takes forever.

How exactly is it noncomputable?  Would it would take longer than the Earth is expected to last, or require more calculation bits than there are atoms in the universe?

My number: 2^(number of particles in the universe).  It can be expressed as a sequence of digits by arranging said particles in a number of rows.

Of course, it's not hard to describe a larger bigger than that.  Just use more rows.  It won't be as easy to compute (3 rows wouldn't be base 3 because there aren't enough particles) but with infinite space and finite particles you can form an infinite number of unique shapes.  I don't know if those would be computable though.  I think 2^(number of particles in the universe) is though.

P.S. I dropped my math major so the above is worse than BS.
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Re: The biggest number game
« Reply #26 on: July 20, 2010, 10:22:24 pm »

How's your computer science?

http://en.wikipedia.org/wiki/Busy_beaver

I can't find the paper in which it's proved, so that's the best I can do.
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HMR stands for Hazardous Materials Requisition, not Horrible Massive Ruination, though I can understand how one could get confused.
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Dwarfaholic

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Re: The biggest number game
« Reply #27 on: July 23, 2010, 05:41:18 am »

Well, eh, I'll give this a shot.

Just something like TREE(TREE(G!)) and whatever similar things can be easily made from that.
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