empty set

empty set
The set that has no members (there is only one, since sets are different only if they have different members). The existence of this set as a mathematical object can be puzzling if one is (incorrectly) inclined to visualize a set as a kind of heap.

Philosophy dictionary. . 2011.

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  • Empty set — ∅ redirects here. For similar looking symbols, see Ø (disambiguation). The empty set is the set containing no elements. In mathematics, and more specifically set theory, the empty set is the unique set having no elements; its size or cardinality… …   Wikipedia

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  • empty set — noun The unique set that contains no elements. Notation: Ø or Syn: null set …   Wiktionary

  • empty set — /ɛmpti ˈsɛt/ (say emptee set) noun → null set …  

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  • set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

  • Empty sum — Not to be confused with Zero sum. In mathematics, an empty sum, or nullary sum, is a summation involving no terms at all. The value of any empty sum of numbers is conventionally taken to be zero. For summations defined in terms of addition of… …   Wikipedia

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