Empty Set

A symbol from the Math Symbols collection. Click the symbol or the button below to copy.

Math Symbols collection
Symbol
Unicode
U+2205
HTML entity
∅
Category
Math Symbols

Export

Download Empty Set as a vector SVG or a raster PNG.

SVG uses the system font stack — open in any vector editor and convert to outlines if needed. PNGs have a transparent background.

40 of 58 in the math symbols collection

About the empty set symbol

Commonly known as the Empty Set, this symbol represents a set containing no elements at all. It is read as empty set or null set and belongs to the mathematical operators block. Visually, it consists of a circle with a diagonal slash passing through it, distinguishing it from the zero digit. While it shares a similar appearance with certain Scandinavian vowels, this specific character is categorised as a mathematical symbol and is widely recognized in logic and set theory.

Typical usage occurs within academic and technical contexts. Mathematicians use it to denote the result of an intersection between two disjoint sets, while programmers and data scientists may use it to signify a null value or the absence of data. Beyond formal science, it appears in logic puzzles and philosophy to discuss concepts of nothingness. In typography, it is sometimes substituted for a zero with a stroke to prevent confusion in specific serial codes or technical signage.

How to type Empty Set

Native keyboard shortcuts for each operating system — derived from the codepoint, so the steps below are always accurate.

Windows

2 options
  1. In Word / Outlook: type 2205 then press Alt + X.
  2. Anywhere: press Win + . to open the emoji & symbol picker, then search.

macOS

2 options
  1. Enable “Unicode Hex Input” in System Settings → Keyboard, then hold Option and type 2205.
  2. Or: Control + Command + Space opens the Character Viewer — search by name.

Linux

1 step
  1. Press Ctrl + Shift + U, type 2205, then press Enter or Space.

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Part of the Mathematical Operators block

empty set lives inside the Mathematical Operators Unicode block. Browse every indexed character in Mathematical Operators

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