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Mathematics is the abstract study of topics such as quantity/numbers, structure, space, and change. Mathematicians seek out patterns and formulate new conjectures and resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Mathematics has been a human activity for as far back as written records exist.
