Back Axioma d'extensionalitat Catalan Extensionalitätsaxiom German Αξίωμα της επεκτασιμότητας Greek Axioma de extensionalidad Spanish Ekstensionaalsuse aksioom Estonian اصل موضوع هممصداقی Persian Axiome d'extensionnalité French אקסיומת ההיקפיות HE Aksiom rasprostranjenosti Croatian Extenzionalitási axióma Hungarian
 | This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. (March 2013) |
The axiom of extensionality,[1][2] also called the axiom of extent,[3][4] is an axiom used in many forms of axiomatic set theory, such as Zermelo–Fraenkel set theory.[5][6] The axiom defines what a set is.[1] Informally, the axiom means that the two sets A and B are equal if and only if A and B have the same members.
- ^ a b "AxiomaticSetTheory". www.cs.yale.edu. Retrieved 2024-08-20.
- ^ "Naive Set Theory". sites.pitt.edu. Retrieved 2024-08-20.
- ^ Bourbaki, N. (2013-12-01). Theory of Sets. Springer Science & Business Media. p. 67. ISBN 978-3-642-59309-3.
- ^ Deskins, W. E. (2012-05-24). Abstract Algebra. Courier Corporation. p. 2. ISBN 978-0-486-15846-4.
- ^ "Zermelo-Fraenkel Set Theory". www.cs.odu.edu. Retrieved 2024-08-20.
- ^ "Intro to Axiomatic (ZF) Set Theory". www.andrew.cmu.edu. Retrieved 2024-08-20.
© MMXXIII Rich X Search. We shall prevail. All rights reserved. Rich X Search