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∨

logical or

Logical OR

∨ is the logical OR sign, or vee, and it means inclusive or: P ∨ Q is true when P, Q, or both are true. It joins statements in logic, proofs and computer science.

Text symbol
Also called
vee · disjunction · vel
Search it as
or symbol · or operator · inclusive or · \lor
Shows up in
Anything that takes text · its shape is whatever your font draws

What ∨ means

It grew out of formal logic in the early 1900s.

Leibniz used a letter-like mark for “or” in a 1679 manuscript, but a 2023 historical study traces today’s sign neither to it nor simply to Latin vel (“or”). Bertrand Russell, working with Alfred North Whitehead in 1902–1903, used related notation to keep “or” between statements apart from union of sets; ∨ first appeared in print for disjunction in 1906.

Don't confuse it with

1

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 ∨

Windows (Word)
Alt+XType 2228, then Alt+X 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 “logical or”.
Linux
Ctrl+Shift+UType 2228, then Enter or Space.
HTML
∨
CSS
\2228
LaTeX
**\lor** or **\vee** in math mode.
HTML
The entity **∨**.
Codes and encoding1 code points
HTML decimal
∨
HTML hex
∨
CSS content
content: "\2228";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%88%A8
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