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Axiom of extensionality
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.
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Axioma d'extensionalitat Catalan Extensionalitätsaxiom German Αξίωμα της επεκτασιμότητας Greek Axioma de extensionalidad Spanish Ekstensionaalsuse aksioom ET اصل موضوع هممصداقی FA Axiome d'extensionnalité French אקסיומת ההיקפיות HE Aksiom rasprostranjenosti Croatian Extenzionalitási axióma Hungarian
