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Naive set theory

Naive set theory is a basic way of understanding collections of objects, called sets, where any well-defined condition can define a set. For example, the set of all blue objects or all numbers less than 10. It assumes that any group described by a clear rule is a set, without worrying about logical issues that can arise. While simple and intuitive, this approach can lead to paradoxes—like considering the "set of all sets that do not contain themselves"—highlighting the need for more careful, formal foundations in set theory.