Empty set

Revision as of 20:33, 27 February 2020 by Science man 88 (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

The Empty Set (generally denoted $\emptyset$ or $\varnothing$) is the (unique) set containing no elements. It is therefore a subset of every set.


In Set Theory, this is the only set that we know exists. All other sets must be formed using the Empty Set and a series of axioms. Thus, in a sense, the Empty Set is the basis of all mathematics as we know it - the "nothing" from which everything is formed.

This article is a stub. Help us out by expanding it.

Invalid username
Login to AoPS