RE: Beyond Ontologies
Hi Didier: That's not quite right. The Butterfly Effect is that given a sensitive dependence on initial conditions, two similar systems will evolve to very disimilar states in a short period of time. It is the effect of amplification that occurs when conditions are coupled by non-linear equations that determine unpredictable or uncertain future states. http://www.cmp.caltech.edu/~mcc/chaos_new/Lorenz.html Strange attractors: "The Lorenz attractor is an example of a strange attractor. Strange attractors are unique from other phase space attractors in that one does not know exactly where on the attractor the system will be. Two points on the attractor that are near each other at one time will be arbitrarily far apart at later times. The only restriction is that the state of system remain on the attractor. Strange attractors are also unique in that they never close on themselves - the motion of the system never repeats (non-periodic). The motion we are describing on these strange attractors is what we mean by chaotic behavior." http://www.pha.jhu.edu/~ldb/seminar/attractors.html Put two systems in competition with one another and you will get the butterfly effect. http://www.fortunecity.com/emachines/e11/86/beffect.html Chaos theory nailed the last nail into the coffin of determinism. Given the competition of systems, the Semantic Web has a rocky road ahead because the upper level ontology is the empty set. It does not mean it isn't useful; just not a great source for predictions of the future meaning of terms. Google to googling is an example. len From: Didier PH Martin [mailto:martind@n...] Didier replies: Usually, the butterfly effect is associated to chaotic systems having one or several attractor.
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