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oldest theory disproved(ot but great)
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<blockquote data-quote="Saeviomagy" data-source="post: 889647" data-attributes="member: 5890"><p>If this is what you got out of that, then you've misread the article, or the papers were done by some serious quack statisticians.</p><p></p><p>Nothing is impossible. Nothing. Extremely improbable, Inconsequential, not worth considering? yes. Less probably than something else? Yes. Impossible? No.</p><p></p><p>If they produce them in a completely equal way, then you don't have a random system.</p><p></p><p>You don't need to tailor the program. If it's truly random, then patterns will occur. They are just as likely to occur as non-patterns. If your 'random' generator never repeats itself, and never produces a recognisable pattern, then it is NOT RANDOM.</p><p></p><p></p><p>No. It doesn't. In a truly random system, a predefined outcome is just as likely as another predefined outcome. In this case, the two predefined outcomes are "a pattern which is the same as some fragment of language" and "a pattern which is not the same as some fragment of language". The two are equally likely. There just happens to be far more patterns which fit into the second category than the first.</p><p></p><p>The chance for a random generator to produce a specific 10,000 letter passage, assuming a 255 letter alphabet (ie - the entire extended ascii set) is 1/(255 ^ 10,000) for a given passage of 10,000 letters. It's a really small number, but it's not zero.</p><p></p><p></p><p>No. An unordered process IS chaos. That's what chaos means. I believe the actual theory of entropy is that everything tends towards a static system. However it only applies to certain things (like the distribution of heat and matter in the universe). It certainly doesn't apply to a hypothetical never-ending stream of random numbers.</p><p></p><p>For that I believe you have to turn to chaos theory, which states that a sufficiently complex system appears to be chaotic, and that as a corollary, chaos can appear to be a sufficiently complex system.</p></blockquote><p></p>
[QUOTE="Saeviomagy, post: 889647, member: 5890"] If this is what you got out of that, then you've misread the article, or the papers were done by some serious quack statisticians. Nothing is impossible. Nothing. Extremely improbable, Inconsequential, not worth considering? yes. Less probably than something else? Yes. Impossible? No. If they produce them in a completely equal way, then you don't have a random system. You don't need to tailor the program. If it's truly random, then patterns will occur. They are just as likely to occur as non-patterns. If your 'random' generator never repeats itself, and never produces a recognisable pattern, then it is NOT RANDOM. No. It doesn't. In a truly random system, a predefined outcome is just as likely as another predefined outcome. In this case, the two predefined outcomes are "a pattern which is the same as some fragment of language" and "a pattern which is not the same as some fragment of language". The two are equally likely. There just happens to be far more patterns which fit into the second category than the first. The chance for a random generator to produce a specific 10,000 letter passage, assuming a 255 letter alphabet (ie - the entire extended ascii set) is 1/(255 ^ 10,000) for a given passage of 10,000 letters. It's a really small number, but it's not zero. No. An unordered process IS chaos. That's what chaos means. I believe the actual theory of entropy is that everything tends towards a static system. However it only applies to certain things (like the distribution of heat and matter in the universe). It certainly doesn't apply to a hypothetical never-ending stream of random numbers. For that I believe you have to turn to chaos theory, which states that a sufficiently complex system appears to be chaotic, and that as a corollary, chaos can appear to be a sufficiently complex system. [/QUOTE]
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