class

Mathematical collection of sets that can be defined based on a property of its members (set theory)

EntityQ217594

Also known as class (set theory)

Subclass of: mathematical object
, mathematical structure

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In set theory and its applications throughout mathematics, a class is a collection of mathematical objects that can be unambiguously defined by a property that all its members share. Classes act as a way to have set-like collections while differing from sets so as to avoid paradoxes, especially Russell's paradox. The precise definition of "class" depends on foundational context. In work on Zermelo–Fraenkel set theory, the notion of class is informal, whereas other set theories, such as von Neumann–Bernays–Gödel set theory, axiomatize the notion of "proper class", e.g., as entities that are not members of another entity.

Overview

All data

24 statements · 17% with external sources · numbers in brackets are citations

Different from: Klasse criterion used: descriptive page and disambiguation page have to be in different items · applies to name of subject: Klasse
Klass criterion used: descriptive page and disambiguation page have to be in different items · applies to name of subject: klass
Clase criterion used: descriptive page and disambiguation page have to be in different items · applies to name of subject: clase
Class criterion used: descriptive page and disambiguation page have to be in different items · applies to name of subject: class
Klasa criterion used: descriptive page and disambiguation page have to be in different items · applies to name of subject: klasa
class
Studied by: set theory
Model item: proper class applies to use with property: subclass of
1
Sources
1.Stated in PlanetMathRetrieved 2023-10-27
View statement on Wikidata ↗
elementary class applies to use with property: subclass of
Followed by: category
Disjoint union of: list of values as qualifiers list item: set, proper class

On other databases

12 identifiers linking class across the web's reference databases

Data quality

statements

17%

externally sourced

Source last edited September 28, 2026. AIDB refreshes this page daily.

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AIDB. (2026). class (Q217594). Retrieved from https://aidb.si/e/class-Q217594