well-defined mathematical collection of distinct objects
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A set is a well-defined mathematical collection of distinct objects, where each object either belongs to the set or doesn't. Sets matter because they form the foundation for modern mathematics, allowing mathematicians to precisely define and work with groups of objects in logic, algebra, and many other fields.
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A set of polygons in an Euler diagram This set equals the one above since they have the same elements.
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.