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Mathematical structures

When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature.

Practical mathematics

Mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity.

Mathematical innovations

Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries.

Mathematical disciplines

Applied mathematics has led to entirely new mathematical disciplines, such as statistics and game theory.

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