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∄

there does not exist

There Does Not Exist

5/256

∄ means no qualifying object exists: there is no such x. In logic, ∄x P(x) says P fails for every x in the domain. names an empty set.

Text symbol

What ∄ means

It rules out every value that would satisfy the stated condition.

The not-exists sign ∄ starts a claim about a variable and its condition: every value in the domain must fail it.

Peano used in 1896; Russell later used it as a variable-binding operator in Principia Mathematica, a logic book published in 1910–1913.

Formal and precise, at home in logic and mathematical writing.

In different fonts, the slash can angle differently; it still marks negation.

Part of the collection

What it means when someone sends it to you

2 readings

No value in the domain satisfies the condition.

Don't confuse it with

2

Questions people ask

1

Why does ∄ show as a box on some devices?

Because that device's fonts have no glyph for it. The character is still correct and still copies correctly — the box is a missing glyph, not a broken character.

How to type or find ∄

Search it as
nexists · not exists · existential negation · negated existence · empty set symbol · no solution notation
Shows up in
Anything that takes text · its shape is whatever your font draws
Windows (Word)
⎇Alt+XType 2204, then AltX to get ∄.
Windows
⊞Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win .).
macOS
⌃Control+⌘Command+␣SpaceOpen the character viewer and search “there does not exist”.
Linux
⎈Ctrl+⇧Shift+UType 2204, then Enter or Space.
HTML
∄
CSS
\2204
Codes and encoding1 code points
HTML decimal
∄
HTML hex
∄
CSS content
content: "\2204";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%88%84
1
On screen
1
Code points
1
JS .length
3
UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

1

Maths & numbers1,835 symbols