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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,718

Hi;

As soon as Galileo began to apply mathematics to the study of the world, complications arose. Actually, the complications had always been there - but now scientists and mathematicians came face to face with them. The way that scientists and mathematicians deal with nature's complications is generally simple - they ignore them. Right away, scientists realized that the systems that they study need to be simple systems, because often very complicated and sophisticated mathematics is needed to model even a very simple system. To accurately model a car accelerating away from a stop light, the motion of a pendulum, or the fall of a raindrop, for instance, involves calculus and differential equations - at least. Scientists need to reduce a situation to points, straight lines and smooth curves in order to bring the power of mathematics to bear on it - the problem being that nature prefers blobs to points, and random-looking zigzags to straight lines and smooth curves. Simple mathematics will only deal with the most trivial of problems - therefore, it must take enormously powerful and abstract mathematics, far beyond our current human capabilities, to deal with the complexity of nature.

A bit pessimistic at the end. It should be restated like this:

therefore, it must take enormously powerful EM, far beyond our current methods, to deal with the complexity of nature.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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