Linked from

The 40 pages that link to Empty set, each with the reason it gives.

• SetBroader topic: It is the simplest set and a subset of every set.

• Set theoryBroader topic: It anchors constructions that build larger sets from nothing.

• Finite setBroader topic: It is finite with cardinality zero when zero is included among the natural numbers.

• Measure spaceBroader topic: Zero size does not imply emptiness in a measure space.

• Axiom of extensionalityBroader topic: Extensionality proves that any two sets with no members are the same empty set.

• Upper boundBroader topic: Every element of an ordered space vacuously bounds the empty set.

• Von Neumann universeBroader topic: It is the sole member of the hierarchy’s first nonempty stage.

• Axiom of Empty SetBroader topic: It is the set whose existence the axiom guarantees.

• Initial and terminal objectsBroader topic: It is initial in the category of sets because exactly one function leaves it for each set.