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  1. Set theory | Symbols, Examples, & Formulas | Britannica

    Oct 30, 2025 · Set theory, branch of mathematics that deals with the properties of well-defined collections of objects such as numbers or functions. The theory is valuable as a basis for precise and …

  2. Set theory - Operations, Elements, Relations | Britannica

    Oct 30, 2025 · Set theory - Operations, Elements, Relations: The symbol ∪ is employed to denote the union of two sets. Thus, the set A ∪ B—read “A union B” or “the union of A and B”—is defined as the …

  3. Cantor’s theorem | Set theory, cardinality, countability | Britannica

    set theory, branch of mathematics that deals with the properties of well-defined collections of objects, which may or may not be of a mathematical nature, such as numbers or functions.

  4. Continuum hypothesis | Set Theory, Mathematics & Logic | Britannica

    set theory, branch of mathematics that deals with the properties of well-defined collections of objects, which may or may not be of a mathematical nature, such as numbers or functions.

  5. Axiom of choice | Set Theory, Mathematics & Logic | Britannica

    Axiom of choice, statement in the language of set theory that makes it possible to form sets by choosing an element simultaneously from each member of an infinite collection of sets even when no …

  6. Set theory - Axioms, Logic, Mathematics | Britannica

    Sep 5, 2025 · Set theory - Axioms, Logic, Mathematics: In contrast to naive set theory, the attitude adopted in an axiomatic development of set theory is that it is not necessary to know what the …

  7. Peano axioms | Logic, Set Theory, Number Theory | Britannica

    set theory, branch of mathematics that deals with the properties of well-defined collections of objects, which may or may not be of a mathematical nature, such as numbers or functions.

  8. Set | Definition & Facts | Britannica

    set theory, branch of mathematics that deals with the properties of well-defined collections of objects, which may or may not be of a mathematical nature, such as numbers or functions.

  9. Partition | Subsets, Union & Intersection | Britannica

    set theory, branch of mathematics that deals with the properties of well-defined collections of objects, which may or may not be of a mathematical nature, such as numbers or functions.

  10. Wacław Sierpiński | Set theory, Number theory, Fractals | Britannica

    Oct 17, 2025 · set theory, branch of mathematics that deals with the properties of well-defined collections of objects, which may or may not be of a mathematical nature, such as numbers or …