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Mathematics is not just a language for describing the external world but, in many ways, it is the only one. However, because we can describe something mathematically doesn't mean we can predict it.
Chaotic systems is one of the recent remarkable discoveries. These are simple mathematical systems that can't be solved precisely. Many systems are chaotic in this sense.
For example, hurricane tracks in the Caribbean are similar to eclipse tracks, but we cannot predict them. The equations that describe weather are intrinsically chaotic but can be used to make accurate short-term predictions.
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The Sapir-Whort hypothesis states that you can't discuss a concept if you don't have the language to describe it.
In any science, we need to describe concepts. For example, one can describe an electron, but the moment we ask questions like "What colour is it?" English falls...
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Many social phenomena, from the stock market to revolutions, lack good predictive mathematics, but we can describe them in retrospect and to some extent construct model systems.
In personal relationships, the majority of us choose partners inside our social class and linguistic group, so it...
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A universe that could not be described mathematically would need to be not only unpredictable but fundamentally irrational.
Because a theory is implausible doesn't mean we can't describe it mathematically.
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The Babylonians possibly started applying mathematics to scientific study. Nearly 3,000 years ago, they used mathematics to discover the pattern underlying eclipses. But it took another 2,500 years and the invention of calculus and Newtonian physics to explain the patterns.
Nearly every maj...
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Order on a small scale can produce chaos on a larger scale. In systems that behave without chaotic effects, small differences could eventually increase in size until they produce large effects - the hallmark of a chaotic system.
Meteorologist Edward Lorenz made this profou...
Chaos Theory is a mathematical toolkit that allows us to extract ordered structures from chaos. The theory can reveal the intricate workings of such diverse natural systems as the beating of the human heart and the trajectories of asteroids.
At the center of Chaos Theory is the fas...
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