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Hace 2 días · Since fuzzy sets were introduced in 1965, many new mathematical constructions and theories treating imprecision, inexactness, ambiguity, and uncertainty have been developed. Some of these constructions and theories are extensions of fuzzy set theory, while others try to mathematically model imprecision and uncertainty in a different way.
Hace 6 días · In mathematical logic, New Foundations (NF) is an axiomatic set theory, conceived by Willard Van Orman Quine as a simplification of the theory of types of Principia Mathematica. New Foundations has a universal set, so it is a non-well-founded set theory.
Hace 22 horas · Constructive set theory. Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory . The same first-order language with " " and " " of classical set theory is usually used, so this is not to be confused with a constructive types approach.
2 de may. de 2024 · 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 adaptable terminology for the definition of complex and sophisticated mathematical concepts.
Hace 1 día · Set Theory is a branch of logical mathematics that studies the collection of objects and operations based on it. A set is simply a collection of objects or a group of objects. For example, a group of players in a football team is a set and the players in the team are its objects. The words collection, aggregate, and class are synonymous to set.
19 de abr. de 2024 · Set theory as a mathematical discipline did not exist until the second half of the nineteenth century. Around 1870, Georg Cantor began a systematic study of certain sets of points on the number line, and, to do that, he developed a mechanism of counting beyond the finite.
26 de abr. de 2024 · Why does set-theoretic union and intersection operate on reverse logic? Asked 18 days ago. Modified 6 days ago. Viewed 697 times. 2. In set theory, A ∪ B A ∪ B is logically defined as {x: x ∈ A ∨ x ∈ B} { x: x ∈ A ∨ x ∈ B }. In set theory, the result of unionizing A with B is a bigger set, but in logic, "or" is a softening operation.
