Search found 589 matches

by GoC
Wed Jan 21, 2009 10:46 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Or to put it in my favorite notation: F A*w*w (67) :P I guess they were trifles after all. But what everyone's doing is putting one meta layer over one meta layer over one meta layer over... (a meta on these metas, and then another meta encompassing all those metas, in a meta-recursive number of di...
by GoC
Wed Jan 21, 2009 9:17 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Now here I'm confused. Is It3(It2(It1))(f)(n)=It2(It2(...It2(It1)...))(n)? or It2(It2(...It2(f)...))(n)? Either the It1 or the f disappears... Can you clarify? That one also is invalid. Think of it like this: Let type 0 be the type of numbers, and let type n+1 be the type of functions from objects ...
by GoC
Wed Jan 21, 2009 9:07 pm UTC
Forum: Religious Wars
Topic: Star Trek vs. Star Wars
Replies: 360
Views: 150696

Re: Star Trek vs. Star Wars

1. Nope, for instance an episode of Voyager has them finding a superadvanced race descended from our earth's dinosaurs! Roughly 65 million years old. I can't remember any other specific examples but I remember at least a couple of races who had numbers like "hundreds of millions" attached...
by GoC
Wed Jan 21, 2009 2:29 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Was my number skipped over? Here, let me define it again: Imagine a computer with infinite time and computing resources. This computer runs [insert programming language of choice, for now say Flash], and can run an infinite number of instances of Flash. The programming language itself has been modi...
by GoC
Wed Jan 21, 2009 9:09 am UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Took me a while to figure this out. f and F are functions (or functors!) not constants, right? That's some sweet notation you've got there... IF it works like I think it does. To clarify: It2(f)(n)=f(f(...f(n)...)) right? It3(It2)(f)(n)=It2(It2(...It2(f)...))(n) right? Or is it: It3(It2)(f)(n)=It2(...
by GoC
Wed Jan 21, 2009 8:49 am UTC
Forum: Religious Wars
Topic: Star Trek vs. Star Wars
Replies: 360
Views: 150696

Re: Star Trek vs. Star Wars

-SW is a much bigger and older civilization that would likely overwhelm ST just by sheer size and industrial capacity even without their technological advantages. I'm afraid that's untrue. In ST there are canonically races hundreds of millions and even billions of years old and most spiral galaxies...
by GoC
Wed Jan 21, 2009 1:52 am UTC
Forum: Religious Wars
Topic: Star Trek vs. Star Wars
Replies: 360
Views: 150696

Re: Star Trek vs. Star Wars

-SW is a much bigger and older civilization that would likely overwhelm ST just by sheer size and industrial capacity even without their technological advantages. I'm afraid that's untrue. In ST there are canonically races hundreds of millions and even billions of years old and most spiral galaxies...
by GoC
Wed Jan 21, 2009 1:46 am UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

It's been a little while, but here's a new idea I've been working on: Let B0 be a computer with xkcd` bits. Let d0 be the largest well-defined number computable and able to be proven to be larger than all other numbers computable by B0. Let B1 be a computer with d0` bits. Let d1 be the largest well...
by GoC
Tue Jan 20, 2009 11:55 am UTC
Forum: Forum Games
Topic: Superhero Rumble - for old times sake
Replies: 66
Views: 6269

Re: Superhero Rumble - for old times sake

I'd be in too for the next one.
by GoC
Fri Jan 16, 2009 10:05 am UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

That's not scikidus' most recent version.
I'll see if I can prove scikidus number<ansain number later today...
by GoC
Thu Jan 15, 2009 6:52 am UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

scikidus wrote:My number's still in the lead. Propose a number larger, and the thread will continue.

I disagree. Thanks to your very ineffecient paranthesis notation I believe that Ansain's number is in the lead.
Are you any closer to understanding the notation I've been using?
by GoC
Wed Jan 14, 2009 7:14 am UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Ok, You have E K (N0) (N1) (N2) ... (Nm). First, expand the first parenthatical set: (N0) [which is made up of elements a0, a1, a2,...ap] becomes (E K ({a0`}#a0`),E K ({a1`}#a1`),...,E K ({an-1`}#an-1`),an-1). Let's call this X for now. Now look at the rest of the parenthetical sets. Take each one,...
by GoC
Tue Jan 13, 2009 11:11 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Ah, so S(b, e, 0) is 0. Okay, so now it's valid... And big. :D Do you understand the notation I've been using :?: E K (a 0 ,a 1 ,...,a n-1 ,a n ) (N 1 ) (N 2 ) ... (N m ) = E K (N 0 ) (N 1 ) (N 2 ) ... (N m ) = E K (E K ({a 0 `}#a 0 `),E K ({a 1 `}#a 1 `),...,E K ({a n-1 `}#a n-1 `),a n -1) (N 1 #(...
by GoC
Tue Jan 13, 2009 10:58 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

It's because of the s(b, e+1, n/b). You haven't defined s(b, e, 0), and you reference the e+1. If it were e-1, I wouldn't have a problem with it. What about the version now corrected? It's written in C++ so n/b will be 0 if b>n. You still haven't defined s(b, e, 0). And ** doesn't work in C++. Perh...
by GoC
Tue Jan 13, 2009 10:46 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

EDIT: Also, found out itaibn was right about this not halting. s(b,e,n){return 0?0:n%b*(b+1)**s(b,0,e)+s(b,e+1,n/b);} g(b,n){return 0?b:g(b+1,s(b,0,n)-1);} g(2,9999) No I wasn't! tricky was the one who posted that it didn't halt. Anyways, extended ackermann still hasn't been formally defined. Can s...
by GoC
Tue Jan 13, 2009 6:51 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

GoC: I'll respond later, but I wanted to submit this for consideration (it's not my official number; that's still in the lead. Rather, I'm just curious.) F 0 (x) = x\&_{x\&_{x\&_{x\&_{..._{x\&_{x}x}...x}x}x}x}x with x& x x levels. F n (x) = F 0 F n-1 (x) (F n-1 (x)) ...
by GoC
Tue Jan 13, 2009 5:18 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

scikidus: Could you stop putting in all the "...[a hundred bazillion times]..." and the apostrophes? I'm fairly certain they aren't needed given how large E itself is. It's just icing on the XXXXXXL cake. :) For a comparison: Let's pretend you've got f(x)=10^^^^^^^x, g(x)=x*2 and h(x)=x+1...
by GoC
Tue Jan 13, 2009 1:00 am UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

s(b,e,n){return 0?0:n%b*(b+1)**s(b,0,e)+s(b,e+1,n/b);} g(b,n){return 0?b:g(b+1,s(b,0,n)-1);} g(2,9999) Invalid. The function loops infinitely. What? You can't be serious. Why do you think that? It's exactly the Goodstein sequence which is proven to terminate. Note: ** is just ^ Does anyone here eve...
by GoC
Mon Jan 12, 2009 10:15 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

scikidus: Could you stop putting in all the "...[a hundred bazillion times]..." and the apostrophes? I'm fairly certain they aren't needed given how large E itself is. It's just icing on the XXXXXXL cake. :) For a comparison: Let's pretend you've got f(x)=10^^^^^^^x, g(x)=x*2 and h(x)=x+10...
by GoC
Mon Jan 12, 2009 7:06 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

I am now highly confused by which people are being addressed in which parts of people's quotes. @GoC: Take my & n notation, and put recursion in the subscripts. That is: {a\&}_{{a\&}_{{a\&}_{...{a\&}_{n}{b}...}{b}}{b}}{b} Looks like a cozy w^(w+1) to me. EDIT: I'm being too gene...
by GoC
Mon Jan 12, 2009 6:58 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

a\nearrow b\nearrow c = a\nearrow b put into itself a\nearrow b times=w*w w+1 +w w+1 I must stop you here again. a\nearrow b\nearrow c = \underbrace{a\nearrow(a\nearrow(a\nearrow(\ldots(b\nearrow c))))}_{b\nearrow c\ times} Looks like I was using a different version....
by GoC
Mon Jan 12, 2009 4:58 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Another Edit: scikidus' gobsmacking function on page 6 appears somwhere between w^(w^(w+1)+w)+w^(w^w) and w^(w^(w+1)+w+1)+w^(w^w). Contrary to his statement the subscripts appear to contribute next to nothing. Incorrect. I am sure that you misunderstand my use of subscripts. Here, let me show you. ...
by GoC
Mon Jan 12, 2009 12:08 pm UTC
Forum: News & Articles
Topic: RIAA to abandon policy of suing file-sharers
Replies: 138
Views: 9049

Re: RIAA to abandon policy of suing file-sharers

Copyrights are property rights, which is pretty much the most fundamental right next to "life". There's nothing artificial about it. If you think that artists should publish for themselves, or should pick labels that you don't have a chip on your shoulder about (don't kid yourself, you do...
by GoC
Mon Jan 12, 2009 9:29 am UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Heh, I remember Actaeus with his circle operator on page two or three, and how that was much larger than this, and how I beat that with my simple n C numbers. If your entire function relies on primitive (because it is, by the definitions of a primitive recursive and non-primitive recursive) expansi...
by GoC
Mon Jan 12, 2009 3:19 am UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Uh, no. Using your notation, My function E is the equivalent of expanding out the tower of w's a recursive amount of times, depending on w, of course. So you honestly believe it is impossible to prove your function is finite using PA? Because Goodstien's theorem says you would have done just that i...
by GoC
Mon Jan 12, 2009 1:57 am UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Sorry, but a number of a caliber like yours has been out of the running for a while. It ha sbeen shown over and over again in this thread that non-primitive recursion destroys any kind of chain notation. Actaeus' old A(~~~~~5) number is bigger than your number, as a matter of fact. The current lead...
by GoC
Mon Jan 12, 2009 12:11 am UTC
Forum: Serious Business
Topic: Why can't we just print money... ?
Replies: 124
Views: 26219

Re: Why can't we just print money... ?

I think this is actually two questions combined: 1. Is it a good idea to rely solely on a wealth tax to finance the government? 2. If so, is inflationary policy a good way to get that wealth tax? The answer to the first is easy: no, it isn't. It reduces any incentive to save, and it is way too prog...
by GoC
Sun Jan 11, 2009 10:41 pm UTC
Forum: Forum Games
Topic: My number is bigger!
Replies: 1588
Views: 359526

Re: My number is bigger!

Reading this I now really regret trying a large number contest on giantitp... You guys have far more knowledge on the subject! *digs around for one of his old big numbers* AHA! GoC Chained arrow notation. Garunteed to grow much faster than Conway Chained Arrow notation! Basic format: x 1 →x 2 →...→x...
by GoC
Sun Jan 11, 2009 7:00 pm UTC
Forum: Religious Wars
Topic: Star Trek vs. Star Wars
Replies: 360
Views: 150696

Re: Star Trek vs. Star Wars

This is a classic. :D I've always argued that the two universes are too inconsistent to be compared as is , however... Put someone with a bit of brains (like... me! :mrgreen: ) in control of the federation with access to all their canon tech and this person will steamroll more or less any universe (...

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