Dec 12, 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 …

Dec 12, 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 …

Dec 12, 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 …

History of logic - Georg Cantor, Set Theory, Mathematics: A development in Germany originally completely distinct from logic but later to merge with it was Georg Cantor’s development of set theory.

Dec 11, 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 …

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 …

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.

Set theory is useful in analyzing difficult concepts in mathematics and logic. It was placed on a firm theoretical footing by Georg Cantor, who discovered the value of clearly formulated sets in the …

The first axiomatization of set theory was given in 1908 by German mathematician Ernst Zermelo. From his analysis of the paradoxes described above in the section Cardinality and transfinite numbers, he …

Nov 14, 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 …