Difference between revisions of "Logical negation"
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==Syllabus== | ==Syllabus== | ||
| + | |||
| + | ===Focal nodes=== | ||
| + | |||
| + | {{col-begin}} | ||
| + | {{col-break}} | ||
| + | * [[Inquiry Live]] | ||
| + | {{col-break}} | ||
| + | * [[Logic Live]] | ||
| + | {{col-end}} | ||
| + | |||
| + | ===Peer nodes=== | ||
| + | |||
| + | {{col-begin}} | ||
| + | {{col-break}} | ||
| + | * [http://mywikibiz.com/Logical_negation Logical Negation @ MyWikiBiz] | ||
| + | * [http://mathweb.org/wiki/Logical_negation Logical Negation @ MathWeb Wiki] | ||
| + | * [http://netknowledge.org/wiki/Logical_negation Logical Negation @ NetKnowledge] | ||
| + | {{col-break}} | ||
| + | * [http://wiki.oercommons.org/mediawiki/index.php/Logical_negation Logical Negation @ OER Commons] | ||
| + | * [http://p2pfoundation.net/Logical_Negation Logical Negation @ P2P Foundation] | ||
| + | * [http://semanticweb.org/wiki/Logical_negation Logical Negation @ SemanticWeb] | ||
| + | {{col-end}} | ||
===Logical operators=== | ===Logical operators=== | ||
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* [[Boolean function]] | * [[Boolean function]] | ||
* [[Boolean-valued function]] | * [[Boolean-valued function]] | ||
| + | * [[Differential logic]] | ||
{{col-break}} | {{col-break}} | ||
* [[Logical graph]] | * [[Logical graph]] | ||
| − | |||
* [[Minimal negation operator]] | * [[Minimal negation operator]] | ||
| + | * [[Multigrade operator]] | ||
| + | * [[Parametric operator]] | ||
* [[Peirce's law]] | * [[Peirce's law]] | ||
{{col-break}} | {{col-break}} | ||
* [[Propositional calculus]] | * [[Propositional calculus]] | ||
| + | * [[Sole sufficient operator]] | ||
* [[Truth table]] | * [[Truth table]] | ||
* [[Universe of discourse]] | * [[Universe of discourse]] | ||
* [[Zeroth order logic]] | * [[Zeroth order logic]] | ||
{{col-end}} | {{col-end}} | ||
| + | |||
| + | ===Relational concepts=== | ||
| + | |||
| + | {{col-begin}} | ||
| + | {{col-break}} | ||
| + | * [[Continuous predicate]] | ||
| + | * [[Hypostatic abstraction]] | ||
| + | * [[Logic of relatives]] | ||
| + | * [[Logical matrix]] | ||
| + | {{col-break}} | ||
| + | * [[Relation (mathematics)|Relation]] | ||
| + | * [[Relation composition]] | ||
| + | * [[Relation construction]] | ||
| + | * [[Relation reduction]] | ||
| + | {{col-break}} | ||
| + | * [[Relation theory]] | ||
| + | * [[Relative term]] | ||
| + | * [[Sign relation]] | ||
| + | * [[Triadic relation]] | ||
| + | {{col-end}} | ||
| + | |||
| + | ===Information, Inquiry=== | ||
| + | |||
| + | {{col-begin}} | ||
| + | {{col-break}} | ||
| + | * [[Inquiry]] | ||
| + | * [[Logic of information]] | ||
| + | {{col-break}} | ||
| + | * [[Descriptive science]] | ||
| + | * [[Normative science]] | ||
| + | {{col-break}} | ||
| + | * [[Pragmatic maxim]] | ||
| + | * [[Pragmatic theory of truth]] | ||
| + | {{col-break}} | ||
| + | * [[Semeiotic]] | ||
| + | * [[Semiotic information]] | ||
| + | {{col-end}} | ||
| + | |||
| + | ===Related articles=== | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, “Introduction To Inquiry Driven Systems”] | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, “Prospects For Inquiry Driven Systems”] | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, “Inquiry Driven Systems : Inquiry Into Inquiry”] | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, “Propositional Equation Reasoning Systems”] | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, “Differential Logic : Introduction”] | ||
| + | |||
| + | * [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, “Differential Propositional Calculus”] | ||
| + | |||
| + | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, “Differential Logic and Dynamic Systems”] | ||
==Document history== | ==Document history== | ||
Revision as of 03:18, 16 May 2010
☞ This page belongs to resource collections on Logic and Inquiry.
Logical negation is an operation on one logical value, typically the value of a proposition, that produces a value of true when its operand is false and a value of false when its operand is true.
The truth table of NOT p (also written as ~p or ¬p) is as follows:
| p | ¬p |
|---|---|
| F | T |
| T | F |
The logical negation of a proposition p is notated in different ways in various contexts of discussion and fields of application. Among these variants are the following:
| Notation | Vocalization |
|---|---|
| \(\bar{p}\) | bar p |
| \(p'\!\) | p prime, p complement |
| \(!p\!\) | bang p |
Syllabus
Focal nodes
Template:Col-breakTemplate:Col-breakTemplate:Col-endPeer nodes
Logical operators
Related topics
- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic
Relational concepts
Information, Inquiry
Related articles
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.
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