Logical conjunction

Logical conjunction
AND
Venn diagram of Logical conjunction
Definition
Truth table
Logic gate
Normal forms
Disjunctive
Conjunctive
Zhegalkin polynomial
Post's lattices
0-preservingyes
1-preservingyes
Monotoneno
Affineno
Self-dualno
Venn diagram of

In logic, mathematics and linguistics, and () is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as [1] or or (prefix) or or [2] in which 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., is true if and only if is true and is true.

An operand of a conjunction is a conjunct.[3]

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

  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. The basics (1. publ ed.). London: Routledge. p. 17. ISBN 978-0-203-85155-5.

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