Therefore ∴
The therefore symbol (three dots in a triangular arrangement with one dot above two) indicates a logical conclusion in mathematical proofs and arguments. It is placed before the conclusion that follows from the preceding premises. The symbol has been used in mathematical writing since the 17th century.
All Representations
∴∴∴U+2234Rendered Output
∴ renders as the character shown above
When to Use Therefore
Use the therefore symbol in mathematical proofs and logical arguments to introduce conclusions (∴ the statement is true). It provides concise notation that replaces the words 'therefore' or 'hence' in formal mathematical writing. It is commonly paired with the because symbol (∵).
Try It — HTML Examples
<p>Symbol: ∴</p><p>Symbol: ∴</p><p>Symbol: ∴</p><div title="The Therefore: ∴">Hover to see</div>About the Therefore Entity
The Therefore character (∴) is a standard HTML entity defined in the HTML specification. In HTML source code, it can be written using the named entity reference ∴, the decimal numeric character reference ∴, or the hexadecimal numeric reference ∴. The character is assigned Unicode code point U+2234 in the Universal Character Set.
The therefore symbol (three dots in a triangular arrangement with one dot above two) indicates a logical conclusion in mathematical proofs and arguments. It is placed before the conclusion that follows from the preceding premises. The symbol has been used in mathematical writing since the 17th century.
Mathematical HTML entities enable web authors to display proper mathematical notation without relying on images or specialized rendering libraries like MathJax or KaTeX. While complex equations and multi-line formulas may still benefit from dedicated math typesetting tools, individual symbols expressed as HTML entities render quickly, remain accessible to screen readers, and can be styled with CSS just like regular text content.
When deciding how to encode the Therefore character in your HTML documents, the named entity ∴ is generally the most readable choice for developers reviewing or maintaining source code. The decimal form ∴ and hexadecimal form ∴ are equally valid alternatives that work in contexts where named entities may not be supported, or when generating HTML output programmatically from server-side code. All three representations produce identical visual output in every modern web browser.
Use the therefore symbol in mathematical proofs and logical arguments to introduce conclusions (∴ the statement is true). It provides concise notation that replaces the words 'therefore' or 'hence' in formal mathematical writing. It is commonly paired with the because symbol (∵).
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