Empty set

In mathematics and more specifically set theory, the empty set is the unique set which contains no elements. In axiomatic set theory it is postulated to exist by the axiom of empty set. From it all finite sets are constructed. The empty set is also sometimes called the null set, but this terminology is rarely used in current work because of the conflict with the concept in the null set article.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

The standard notation for denoting the empty set, is the symbol arnothing, ø, or Ø, first used by the group of mainly French early- 20th-century mathematicians who wrote under the collective pseudonym of Nicolas Bourbaki. This should not be confused with the Greek letter Φ. Another common notation for the empty set is {}.

Set theory: Set theory is the mathematical theory of sets, which represent collections of abstract objects. It encompasses the everyday notions, introduced in primary school, of collections of objects, and the elements of, and membership in, such collections. It is the language in which mathematical objects a...

Set: :This article is about sets in mathematics. For other senses, see set (disambiguation)....

Axiomatic set theory: Set theory is a branch of mathematics created principally by the German mathematician Georg Cantor at the end of the 19th century. Initially controversial, set theory has come to play the role of a foundational theory in modern mathematics, in the sense of a theory invoked to justify assumptions mad...

Empty set related Images and Photos (experimental)

Empty Bottles	Smart Set (DVD)	Ready, Set, Green Book (Paperback)	An Empty Room
House Set	Kekkaishi Set 1 (DVD)	Matching Set I	Smart Set (On Demand)
SET IT OFF (2PK/DVD/BD)	Kekkaishi Set 2	Set It Off DVD	Kekkaishi Set 3