Tuesday, October 04, 2005

Quantification

Actions, choices, thoughts and behaviour are the pre-determined initial conditions in a dynamic network with a fractal structure. There are infinite scales, infinite possibilities for initial conditions (hence, completely random transfer methods), and infinite outcomes. This very system described is of a fractal nature, therefore, it repeats on infinite scales (scientifically, socially, universally, etc.).

Chaos and determinism create order. This is an equation set, or matrix, of differential equations of order n, in an nxn space. The irregulaity, i.e. order, produced is highly unstable. In other words, a slightly (used very loosely) change in the set of the initial conditions has the potential of creating a very large blow to the outcome. Hence, the chaotic nature of the order. This is also noticed in the nature of the exponentially-increasing mathematical functions. The concept of a function approaching negative infinity can be shown by a system driving towards its doom (total instability, pure chaos). A system starting off from total instability can be used to show the idea of a function approaching positive infinity. It could also be said that these two systems follow a periodic pattern, falling to doom, and rising from chaos. Or in the mathematical terms, exponentially increasing to both ends of the spectrum, with a period of one.

This function also holds true on infinite scales, creating another network of fractal structure. All these different scales produce infinite frames of reference, or infinite origins.



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