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Rampancy and Exponentiatial Growth
Posted By: Forrest of B.orgDate: 10/25/06 4:15 p.m.

In Response To: Re: misunderstandings... :P (thermoplyae)

: This is an excellent point. Durandal's growth can't be exponential simply
: because resources are limited far beyond space and time -- he also has a
: limited amount of processing power to deal with (as funny as that sounds).
: There's a point where you simply can't grow any faster because you're
: already growing as fast as possible under the physical limitations of the
: system. This further suggests that shortly after exponential growth
: begins, it dips to a point much lower than exponential.

Unless some of the resources he is appropriating are extra coprocessors. I've always imagined Marathon's computer network as a massively parallel system in every way; banks of processors, memory and storage available for the use of any program in the network that needs them (perhaps with certain programs limiting other programs' access to these resources and so on). As Durandal grows, he would require more processing power and memory to run his more complex program at any decent speed, and possibly more storage to store all the new data he is acquiring.

Imagine a program on our normal computers: it's a certain size on disk and needs such-and-such much RAM and processing power to run well. Newer versions usually require more of all of the above. Now imagine it can rewrite and update itself, getting fancier and fancier, requiring more and more resources with every new version of itself. Just as running a very resource-hungry program on your computer will slow down or otherwise interfere with the operation of all other programs running, so too would a self-growing program start to cause those same problems. And as space got more and more tight, the growing program would also start to suffer performance problems. If it could (and was intelligent self-aware of it's nature as a computer program), it would probably try to find access to better hardware so it could keep on improving itself without suffering from all these overhead limitations.

That is rampancy.

As this relates to exponential growth: I don't think anybody was talking about "space" as in physical size. Rather, it was meant that the program grows in it's system resource usage (memory, processing, storage) in a fashion best approximated by an exponential curve. Roughly every X-period-of-time it requires Y-percent more resources. What X and Y is are a mystery; the point is, rampant growth accelerates over time, somewhat slowly at first and then much faster later, "exploding" instead of just gradually creeping at a linear rate.

That current programs seem to run at about the same rate on modern hardware as older programs run on their contemporary hardware is a pattern of exponential growth in our software, as hardware resources (as approximated by Moore's Law) follow an exponential growth pattern (roughly 100% growth every 18 months).

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Pre-2004 Posts

Replies:

Cybertonics, AIs, and fundamental issuesJ-M 4/2/05 1:37 p.m.
     Re: Cybertonics, AIs, and fundamental issues *NM*J-M 4/2/05 1:37 p.m.
     Re: Cybertonics, AIs, and fundamental issuesJ-M 4/2/05 1:38 p.m.
           Re: Cybertonics, AIs, and fundamental issuesBob-B-Q 4/2/05 2:29 p.m.
     Re: Cybertonics, AIs, and fundamental issuesduality 4/2/05 8:20 p.m.
           Re: Cybertonics, AIs, and fundamental issuesJ-M 4/3/05 7:03 a.m.
     They also have a forced localityMrHen 4/3/05 8:52 a.m.
           Does seem that way.J-M 4/3/05 10:33 a.m.
                 Continuityhowekern 4/3/05 4:22 p.m.
                       Re: ContinuityJ-M 4/3/05 8:45 p.m.
                             Re: Continuityhowekern 4/5/05 3:31 p.m.
                                   Copied identitiesMrHen 4/5/05 6:44 p.m.
                                         Continuity againForrest of B.org 4/5/05 7:29 p.m.
           Re: They also have a forced localityChlazza 4/3/05 10:55 a.m.
                 Interesting.J-M 4/3/05 1:01 p.m.
                       Re: Interesting.Chlazza 4/3/05 2:45 p.m.
                             Re: Interesting.J-M 4/3/05 3:19 p.m.
                                   Copied peopleMrHen 4/3/05 5:37 p.m.
                             Re: Interesting.thermoplyae 4/3/05 6:45 p.m.
                                   Re: Interesting.J-M 4/3/05 8:49 p.m.
                                         At least twiceMrHen 4/4/05 5:34 a.m.
                                               Google just shows those two. *NM*MrHen 4/4/05 5:57 a.m.
                                         Re: Interesting.thermoplyae 4/6/05 11:41 a.m.
                       Re: Interesting.Chaemera 4/3/05 8:17 p.m.
                       modern AIsJosh M. 4/13/05 7:53 p.m.
                             daisy daisy.... *NM*duality 4/13/05 9:04 p.m.
                       Re: Interesting.Document 10/24/06 7:53 a.m.
                             copying neural networks?MrHen 10/24/06 4:45 p.m.
           Re: They also have a forced localityhowekern 4/5/05 4:03 p.m.
                 Re: They also have a forced localityblake37 4/5/05 4:25 p.m.
                 Yow... and I agree.MrHen 4/5/05 7:12 p.m.
                 Re: They also have a forced localityJ-M 4/6/05 1:56 a.m.
                 Re: They also have a forced localitySteve Levinson 4/6/05 7:44 a.m.
                       Re: They also have a forced localityJ-M 4/6/05 5:50 p.m.
                 Re: They also have a forced localityMrHen 10/24/06 5:54 p.m.
                       Re: They also have a forced localityForrest of B.org 10/24/06 6:29 p.m.
                             Where is Leela's last message?MrHen 10/25/06 5:01 a.m.
                             Re: They also have a forced localityDocument 10/25/06 9:50 a.m.
                                   they spelled it wrong... *NM*MrHen 10/25/06 10:18 a.m.
                       Re: They also have a forced localityDocument 10/24/06 8:23 p.m.
                             Re: They also have a forced localityukimalefu 10/24/06 8:53 p.m.
                                   Re: They also have a forced localitythermoplyae 10/24/06 10:49 p.m.
                                         what?MrHen 10/25/06 5:21 a.m.
                                               Re: what?thermoplyae 10/25/06 7:29 a.m.
                                                     misunderstandings... :PMrHen 10/25/06 8:45 a.m.
                                                           Re: misunderstandings... :PDocument 10/25/06 9:52 a.m.
                                                                 thanks! you rock...MrHen 10/25/06 10:19 a.m.
                                                           Re: misunderstandings... :Pthermoplyae 10/25/06 11:57 a.m.
                                                                 oh, got itMrHen 10/25/06 12:59 p.m.
                                                                       Re: oh, got itthermoplyae 10/25/06 1:26 p.m.
                                                                             #alephone, eh?MrHen 10/25/06 8:30 p.m.
                                                                                   Re: #alephone, eh?thermoplyae 10/25/06 11:17 p.m.
                                                                 Rampancy and Exponentiatial GrowthForrest of B.org 10/25/06 4:15 p.m.
                                                                       Re: Rampancy and Exponentiatial Growththermoplyae 10/25/06 11:14 p.m.
                             More numbersMrHen 10/25/06 5:18 a.m.
           AIs as "Ghosts in the machine"ForceMorph 4/8/05 6:16 p.m.
                 Re: AIs as "Ghosts in the machine"Forrest of B.org 4/8/05 8:05 p.m.
                       Shades of Mamoru Oshii... *NM*Bob-B-Q 4/9/05 5:56 a.m.
           Re: "a planetary sized network"Document 10/25/06 4:51 p.m.
     My likely-nonsense theoryhowekern 4/3/05 4:10 p.m.
           Re: My likely-nonsense theoryChaemera 4/3/05 8:28 p.m.
                 Re: My likely-nonsense theoryJ-M 4/3/05 8:45 p.m.
                       Durandal has you! *NM*ukimalefu 4/3/05 10:06 p.m.
                             Re: Durandal has you!J-M 4/3/05 10:18 p.m.
                       Re: My likely-nonsense theoryMrHen 4/4/05 5:47 a.m.
                             Re: My likely-nonsense theorySteve Levinson 4/4/05 12:19 p.m.
     Stages of Rampancy in Human PsychologyForrest of B.org 4/3/05 10:20 p.m.
           Re: Stages of Rampancy in Human PsychologyForrest of B.org 4/3/05 10:22 p.m.
                 Re: Stages of Rampancy in Human PsychologyMrHen 4/4/05 5:55 a.m.
                 Re: Stages of Rampancy in Human PsychologyDocument 11/1/06 9:31 a.m.
     Re: Cybertonics, AIs, and fundamental issuesJ-M 4/6/05 5:55 p.m.
           Re: Cybertonics, AIs, and fundamental issuesForrest of B.org 4/7/05 8:34 a.m.
                 Re: Cybertonics, AIs, and fundamental issuesJ-M 4/7/05 4:37 p.m.
                       Re: Cybertonics, AIs, and fundamental issuesForrest of B.org 4/7/05 5:10 p.m.
                             Re: Cybertonics, AIs, and fundamental issuesJ-M 4/8/05 1:41 a.m.
                                   Re: Cybertonics, AIs, and fundamental issuesSteve Levinson 4/8/05 8:29 a.m.
                                         Re: Cybertonics, AIs, and fundamental issuesduality 4/11/05 1:57 p.m.
                                               Doesn't account for the world reset.MrHen 4/13/05 5:40 a.m.
                                                     Re: Doesn't account for the world reset.Andrew Nagy (mb) 4/13/05 10:48 a.m.
                                                           Re: Doesn't account for the world reset.howekern 4/13/05 4:39 p.m.
                                                                 Re: Doesn't account for the world reset.ukimalefu 4/14/05 12:52 p.m.
                                                                 Yeah, but that's boringMrHen 4/15/05 8:03 a.m.
                                   Re: Cybertonics, AIs, and fundamental issuesForrest of B.org 4/11/05 3:11 p.m.
                                         Re: Cybertonics, AIs, and fundamental issuesJ-M 4/11/05 3:42 p.m.
                                               Re: Cybertonics, AIs, and fundamental issuesDocument 10/24/06 8:49 a.m.
                                                     Re: Cybertonics, The Autonomy of an AIAlexZander 10/30/06 2:35 p.m.

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