What does axiom of extensionality mean?

Definitions for axiom of extensionality
ax·iom of ex·ten·sion·al·i·ty

This dictionary definitions page includes all the possible meanings, example usage and translations of the word axiom of extensionality.

Wiktionary

  1. axiom of extensionalitynoun

    One of the axioms in axiomatic set theory, equivalent to the statement that two sets are equal if and only if they contain the same elements.

Wikidata

  1. Axiom of extensionality

    In axiomatic set theory and the branches of logic, mathematics, and computer science that use it, the axiom of extensionality, or axiom of extension, is one of the axioms of Zermelo–Fraenkel set theory.

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Numerology

  1. Chaldean Numerology

    The numerical value of axiom of extensionality in Chaldean Numerology is: 2

  2. Pythagorean Numerology

    The numerical value of axiom of extensionality in Pythagorean Numerology is: 5

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"axiom of extensionality." Definitions.net. STANDS4 LLC, 2025. Web. 5 Mar. 2025. <https://www.definitions.net/definition/axiom+of+extensionality>.

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    very close or connected in space or time
    A contiguous
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    D indiscernible

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