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 | Re: misunderstandings... :P | |
| Posted By: thermoplyae | Date: 10/25/06 11:57 a.m. |
| In Response To: misunderstandings... :P (MrHen) : There may be reasons why mentioning the subject of exponential growth is not
I read ukimalefu's quote of the definition as a response to Document's post rather than a supplement. "Maybe you should read the definition of exponential growth, because it sounds like you don't understand." If someone doesn't understand expontential growth that isn't Document, they can use Google and Wikipedia themselves to figure it out. And, from the sounds of it, Document did know what he was talking about, and I wanted to stand up and defend his point that the phrase "exponential growth" being used in a terminal didn't mean much of anything. : I did not mean to jump to conclusions. I was simply showing a hypothetical
: Obviously we cannot know the exact rate of growth (I think this was Document's
But there /aren't/ ways to find rough estimates. If we knew exactly when Durandal had managed to consume all of the Marathon's resources /and/ we knew exactly what "resources" meant and how much of them were open for consumption, then there will still be an infinite number of solutions just for exponential growth, nevermind all the other possibilities. We have no concept of what is "probably correct". We have no concept of "probably". There is simply too little information. The fact that we have too little information does not invalidate your numbers; they're still correct. They just don't... mean anything. To demonstrate that a "hypothetical AI following a hypothetical growth pattern with no limitations imposed upon it just might grow quickly maybe" is not useful discussion, and it will confuse and mislead people and we will end up with more bad math posts. : In any case, the network on the UESC Marathon would have been small enough to
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. : True. I was not trying to guess at how long Durandal would need to take over
Right, and I'm making the bold statement that exponential growth in space more than likely does not relate to rampancy. I understood your point, hence the topic of my previous post. I didn't miss any cues. : I completely agree. I was just throwing numbers out so people would have a
And I think you should have flagged your post with "don't let this confuse you; the Marathon is probably not like this."
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