Mathematics is the body of knowledge centered on concepts such as quantity, structure, space, and change. It evolved, through the use of abstraction and logical reasoning, from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Mathematicians explore such concepts, aiming to formulate new conjectures and establish their truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics is used throughout the world in many fields, including science, engineering, medicine and economics. These fields both inspire and make use of new discoveries in mathematics. The application of mathematics to such fields is often called applied mathematics. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any practical application in mind; although applications for what began as pure mathematics are often discovered later.
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