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:
| \(p\!\) | \(q\!\) | \(p \land q\) |
| \(\operatorname{F}\) | \(\operatorname{F}\) | \(\operatorname{F}\) |
| \(\operatorname{F}\) | \(\operatorname{T}\) | \(\operatorname{F}\) |
| \(\operatorname{T}\) | \(\operatorname{F}\) | \(\operatorname{F}\) |
| \(\operatorname{T}\) | \(\operatorname{T}\) | \(\operatorname{T}\) |
Syllabus
Focal nodes
Peer nodes
- Logical Conjunction @ InterSciWiki
- Logical Conjunction @ MyWikiBiz
- Logical Conjunction @ Subject Wikis
- Logical Conjunction @ Wikiversity
- Logical Conjunction @ Wikiversity Beta
Logical operators
Template:Col-breakTemplate:Col-breakTemplate:Col-endRelated topics
- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic
Relational concepts
Information, Inquiry
Related articles
- Differential Logic : Introduction
- Differential Propositional Calculus
- Differential Logic and Dynamic Systems
- Prospects for Inquiry Driven Systems
- Introduction to Inquiry Driven Systems
- Inquiry Driven Systems : Inquiry Into Inquiry
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
