What Does Empty Set Mean?

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What does empty set mean?

Definitions for empty setemp·ty set

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

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WiktionaryRate this definition:0.0 / 0 votes

1. empty setnoun

   The unique set that contains no elements. Notation: Ø or {}

WikipediaRate this definition:0.0 / 0 votes

1. Empty set

   In mathematics, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic set theories ensure that the empty set exists by including an axiom of empty set, while in other theories, its existence can be deduced. Many possible properties of sets are vacuously true for the empty set. Any set other than the empty set is called non-empty. In some textbooks and popularizations, the empty set is referred to as the "null set". However, null set is a distinct notion within the context of measure theory, in which it describes a set of measure zero (which is not necessarily empty). The empty set may also be called the void set.

WikidataRate this definition:0.0 / 0 votes

1. Empty set

   In mathematics, and more specifically set theory, the empty set is the unique set having no elements; its size or cardinality is zero. Some axiomatic set theories assure that the empty set exists by including an axiom of empty set; in other theories, its existence can be deduced. Many possible properties of sets are trivially true for the empty set. Null set was once a common synonym for "empty set", but is now a technical term in measure theory.

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1. empty set

   The empty set symbol -- In this Symbols.com article you will learn about the meaning of the empty set symbol and its characteristic.

2. empty set

   Song lyrics by empty set -- Explore a large variety of song lyrics performed by empty set on the Lyrics.com website.

How to pronounce empty set?

1. AlexUS EnglishDavidUS EnglishMarkUS EnglishDanielBritishLibbyBritishMiaBritishKarenAustralianHayleyAustralianNatashaAustralianVeenaIndianPriyaIndianNeerjaIndianZiraUS EnglishOliverBritishWendyBritishFredUS EnglishTessaSouth African

How to say empty set in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of empty set in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of empty set in Pythagorean Numerology is: 6

References

1. ^ Wiktionaryhttps://en.wiktionary.org/wiki/Empty_Set
2. ^ Wikipediahttps://en.wikipedia.org/wiki/Empty_Set
3. ^ Wikidatahttps://www.wikidata.org/w/index.php?search=empty set

Translations for empty set

From our Multilingual Translation Dictionary

• مجموعة فارغةArabic
• leeres SetGerman
• conjunto vacioSpanish
• ensemble videFrench
• insieme vuotoItalian
• tomt settNorwegian
• boş kümeTurkish
• خالی سیٹUrdu

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"empty set." Definitions.net. STANDS4 LTD, 2026. Web. 20 Feb. 2026. <https://www.definitions.net/definition/empty+set>.

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