Logical equality
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Logical equality is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both operands are false or both operands are true.
The truth table of \(p ~\operatorname{EQ}~ q,\) also written \(p = q,\!\) \(p \Leftrightarrow q,\!\) or \(p \equiv q,\!\) appears below:
| \(p\!\) | \(q\!\) | \(p = q\!\) |
| \(\operatorname{F}\) | \(\operatorname{F}\) | \(\operatorname{T}\) |
| \(\operatorname{F}\) | \(\operatorname{T}\) | \(\operatorname{F}\) |
| \(\operatorname{T}\) | \(\operatorname{F}\) | \(\operatorname{F}\) |
| \(\operatorname{T}\) | \(\operatorname{T}\) | \(\operatorname{T}\) |
Syllabus
Focal nodes
Peer nodes
- Logical Equality @ InterSciWiki
- Logical Equality @ MyWikiBiz
- Logical Equality @ Subject Wikis
- Logical Equality @ Wikiversity
- Logical Equality @ 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 Equality, InterSciWiki
- Logical Equality, MyWikiBiz
- Logical Equality, Wikinfo
- Logical Equality, Wikiversity
- Logical Equality, Wikiversity Beta
- Logical Equality, Wikipedia
