Predicting chaos
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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