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Conjunction (AND) ○◂｜Definition｜1st｜20251119205401-00-⌔

Logical conjunction - Wikipedia

Logical conjunction

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In logic, mathematics and linguistics, and ($\wedge$) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as $\wedge$¹ or $\&$ or $K$ (prefix) or $\times$ or $\cdot$² in which $\wedge$ is the most modern and widely used.

The and of a set of operands is true if and only if all of its operands are true, i.e., $A\wedge B$ is true if and only if $A$ is true and $B$ is true.

An operand of a conjunction is a conjunct.³

Beyond logic, the term “conjunction” also refers to similar concepts in other fields:

• In natural language, the denotation of expressions such as English “and”;
• In programming languages, the short-circuit and control structure;
• In set theory, intersection.
• In lattice theory, logical conjunction (greatest lower bound).

Printed 2026-06-28.

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Footnotes

1. “2.2: Conjunctions and Disjunctions”. Mathematics LibreTexts. 2019-08-13. Retrieved 2020-09-02. ↩

2. “Conjunction, Negation, and Disjunction”. philosophy.lander.edu. Retrieved 2020-09-02. ↩

3. Beall, Jeffrey C. (2010). Logic: the basics (1. publ ed.). London: Routledge. p. 17. ISBN 978-0-203-85155-5. ↩

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