Empty-set sign

The empty-set symbol ∅ means a set with no elements. It is neither the number 0 nor the set {0}.

IN FOCUS∅

EMPTY SET

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Character details

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♡→✦
3 code points
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Meaning and context

The empty-set symbol ∅ means a set with no elements. It is neither the number 0 nor the set {0}.

How to use it

Use ∅ when a set-valued result has no members. If writing for readers new to sets, explain it as “the empty set” at first use.

Examples

No matching elements

{1, 2} ∩ {3, 4} = ∅

The two sets have no members in common.

Different objects

∅ ≠ {0}

The right-hand set contains one element; the left-hand set contains none.

Similar shapes, different characters

Ø

Latin capital O with stroke

U+00D8

This is a letter, U+00D8.

0

Digit zero

U+0030

Zero is a number and can itself be a member of a set.

Sources and method

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Character details

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