Set (mathematics)

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In mathematics, a set is a collection of different things; the things are called elements or members of the set and are typically mathematical objects: numbers, symbols, points in space, lines, other geometric shapes, variables, functions, or even other sets. Sets cannot be mathematically defined, since they form a primitive notion. Instead, they are characterized by basic properties (axioms) that sets must have to correspond to intuition about collections. In modern mathematics, since the first half of the 20th century, all mathematical objects are ultimately defined in terms of sets. That is, set theory serves as foundation of mathematics.

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