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 …

4 days ago · 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 …

Oct 30, 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 …

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 …

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, 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, 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 …

4 days ago · Someone who believes that set theory deals only with nonexistent fictions will have no concern about the question. But for most mathematicians sets actually exist; in particular, ω …

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 …