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Symbols · Sets and logic

∴ ∵ Therefore, because

Say it: “therefore”, “because”

What it means

Three dots in a triangle mean therefore; upside down they mean because. They are common in school proofs and handwritten notes.

Read aloud in real formulas

Proofs

x + 1 = 3 ∴ x = 2

Aethel says

x plus 1 equals 3, therefore x equals 2

so x is 2

Typing it

LaTeX
\therefore, \because
Unicode
U+2234, U+2235

Questions

How do you say ∴ out loud?

It is usually read “therefore”, and also “because”.

What does ∴ mean in maths?

Three dots in a triangle mean therefore; upside down they mean because. They are common in school proofs and handwritten notes.

How do you type ∴?

In LaTeX, write \therefore, \because. Its Unicode code point is U+2234, U+2235.

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