Logical conjunction

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Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both of its operands are true.

The truth table of $p~\operatorname {AND} ~q,$ also written $p\land q\!$ or $p\cdot q,\!$ appears below:

${\text{Logical Conjunction}}\!$

$p\!$	$q\!$	$p\land q$
$\operatorname {F}$	$\operatorname {F}$	$\operatorname {F}$
$\operatorname {F}$	$\operatorname {T}$	$\operatorname {F}$
$\operatorname {T}$	$\operatorname {F}$	$\operatorname {F}$
$\operatorname {T}$	$\operatorname {T}$	$\operatorname {T}$

Syllabus

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Logical operators

Exclusive disjunction Logical conjunction Logical disjunction Logical equality

Logical implication Logical NAND Logical NNOR Negation

Related topics

Ampheck Boolean domain Boolean function Boolean-valued function Differential logic

Logical graph Minimal negation operator Multigrade operator Parametric operator Peirce's law

Propositional calculus Sole sufficient operator Truth table Universe of discourse Zeroth order logic

Relational concepts

Continuous predicate Hypostatic abstraction Logic of relatives Logical matrix

Relation Relation composition Relation construction Relation reduction

Relation theory Relative term Sign relation Triadic relation

Information, Inquiry

Inquiry Dynamics of inquiry

Semeiotic Logic of information

Descriptive science Normative science

Pragmatic maxim Truth theory

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Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.

• Logical Conjunction, InterSciWiki
• Logical Conjunction, MyWikiBiz
• Logical Conjunction, Wikinfo
• Logical Conjunction, Wikiversity
• Logical Conjunction, Wikiversity Beta
• Logical Conjunction, Wikipedia