Difference between revisions of "Universe of discourse"

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Boole (1854) defines '''''universe of discourse''''' in the following manner:
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<font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
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The term '''''universe of discourse''''' is generally attributed to Augustus De&nbsp;Morgan (1846).&nbsp; George Boole (1854) defines it in the following manner:
  
 
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<p>In every discourse, whether of the mind conversing with its own thoughts, or of the individual in his intercourse with others, there is an assumed or expressed limit within which the subjects of its operation are confined. &hellip; Now, whatever may be the extent of the field within which all the objects of our discourse are found, that field may properly be termed the universe of discourse.  (Boole 1854/1958, p. 42).</p>
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<p>In every discourse, whether of the mind conversing with its own thoughts, or of the individual in his intercourse with others, there is an assumed or expressed limit within which the subjects of its operation are confined. &hellip; Now, whatever may be the extent of the field within which all the objects of our discourse are found, that field may properly be termed the universe of discourse.  (Boole 1854/1958, p.&nbsp;42).</p>
 
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==Reference==
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==References==
  
 
* Boole, George (1854/1958), ''An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities'', Macmillan Publishers, 1854.  Reprinted with corrections, Dover Publications, New York, NY, 1958.
 
* Boole, George (1854/1958), ''An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities'', Macmillan Publishers, 1854.  Reprinted with corrections, Dover Publications, New York, NY, 1958.
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* De Morgan, Augustus (1846), ''Cambridge Philosophical Transactions'', ''viii'', p. 380.
  
 
==Resources==
 
==Resources==
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===Focal nodes===
 
===Focal nodes===
  
{{col-begin}}
 
{{col-break}}
 
 
* [[Inquiry Live]]
 
* [[Inquiry Live]]
{{col-break}}
 
 
* [[Logic Live]]
 
* [[Logic Live]]
{{col-end}}
 
  
 
===Peer nodes===
 
===Peer nodes===
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* [http://intersci.ss.uci.edu/wiki/index.php/Universe_of_discourse Universe of Discourse @ InterSciWiki]
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* [http://mywikibiz.com/Universe_of_discourse Universe of Discourse @ MyWikiBiz]
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* [http://ref.subwiki.org/wiki/Universe_of_discourse Universe of Discourse @ Subject Wikis]
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* [http://en.wikiversity.org/wiki/Universe_of_discourse Universe of Discourse @ Wikiversity]
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* [http://beta.wikiversity.org/wiki/Universe_of_discourse Universe of Discourse @ Wikiversity Beta]
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===Logical operators===
  
 
{{col-begin}}
 
{{col-begin}}
 
{{col-break}}
 
{{col-break}}
* [http://beta.wikiversity.org/wiki/Universe_of_discourse Universe of Discourse @ Beta Wikiversity]
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* [[Exclusive disjunction]]
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* [[Logical conjunction]]
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* [[Logical disjunction]]
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* [[Logical equality]]
 
{{col-break}}
 
{{col-break}}
* [http://mywikibiz.com/Universe_of_discourse Universe of Discourse @ MyWikiBiz]
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* [[Logical implication]]
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* [[Logical NAND]]
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* [[Logical NNOR]]
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* [[Logical negation|Negation]]
 
{{col-end}}
 
{{col-end}}
  
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* [[Boolean function]]
 
* [[Boolean function]]
 
* [[Boolean-valued function]]
 
* [[Boolean-valued function]]
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* [[Differential logic]]
 
{{col-break}}
 
{{col-break}}
 
* [[Logical graph]]
 
* [[Logical graph]]
* [[Logical matrix]]
 
 
* [[Minimal negation operator]]
 
* [[Minimal negation operator]]
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* [[Multigrade operator]]
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* [[Parametric operator]]
 
* [[Peirce's law]]
 
* [[Peirce's law]]
 
{{col-break}}
 
{{col-break}}
 
* [[Propositional calculus]]
 
* [[Propositional calculus]]
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* [[Sole sufficient operator]]
 
* [[Truth table]]
 
* [[Truth table]]
 
* [[Universe of discourse]]
 
* [[Universe of discourse]]
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{{col-end}}
 
{{col-end}}
  
===Related articles===
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===Relational concepts===
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{{col-begin}}
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{{col-break}}
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* [[Continuous predicate]]
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* [[Hypostatic abstraction]]
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* [[Logic of relatives]]
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* [[Logical matrix]]
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{{col-break}}
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* [[Relation (mathematics)|Relation]]
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* [[Relation composition]]
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* [[Relation construction]]
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* [[Relation reduction]]
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{{col-break}}
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* [[Relation theory]]
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* [[Relative term]]
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* [[Sign relation]]
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* [[Triadic relation]]
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{{col-end}}
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===Information, Inquiry===
  
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, &ldquo;Propositional Equation Reasoning Systems&rdquo;]
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{{col-begin}}
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{{col-break}}
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* [[Inquiry]]
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* [[Dynamics of inquiry]]
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{{col-break}}
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* [[Semeiotic]]
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* [[Logic of information]]
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{{col-break}}
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* [[Descriptive science]]
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* [[Normative science]]
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{{col-break}}
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* [[Pragmatic maxim]]
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* [[Truth theory]]
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{{col-end}}
  
* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;]
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===Related articles===
  
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, &ldquo;Differential Logic : Introduction&rdquo;]
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{{col-begin}}
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{{col-break}}
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* [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language]
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* [http://intersci.ss.uci.edu/wiki/index.php/Futures_Of_Logical_Graphs Futures Of Logical Graphs]
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* [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]
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{{col-break}}
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_:_Introduction Differential Logic : Introduction]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Propositional_Calculus Differential Propositional Calculus]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems]
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{{col-break}}
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* [http://intersci.ss.uci.edu/wiki/index.php/Prospects_for_Inquiry_Driven_Systems Prospects for Inquiry Driven Systems]
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* [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems]
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* [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry]
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{{col-end}}
  
 
==Document history==
 
==Document history==
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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.
 
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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* [http://intersci.ss.uci.edu/wiki/index.php/Universe_of_discourse Universe of Discourse], [http://intersci.ss.uci.edu/ InterSciWiki]
 
* [http://mywikibiz.com/Universe_of_discourse Universe of Discourse], [http://mywikibiz.com/ MyWikiBiz]
 
* [http://mywikibiz.com/Universe_of_discourse Universe of Discourse], [http://mywikibiz.com/ MyWikiBiz]
* [http://beta.wikiversity.org/wiki/Universe_of_discourse Universe of Discourse], [http://beta.wikiversity.org/ Beta Wikiversity]
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* [http://planetmath.org/UniverseOfDiscourse Universe of Discourse], [http://planetmath.org/ PlanetMath]
* [http://planetmath.org/encyclopedia/UniverseOfDiscourse.html Universe of Discourse], [http://planetmath.org/ PlanetMath]
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* [http://semanticweb.org/wiki/Universe_of_discourse Universe of Discourse], [http://semanticweb.org/ SemanticWeb]
 
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* [http://en.wikiversity.org/wiki/Universe_of_discourse Universe of Discourse], [http://en.wikiversity.org/ Wikiversity]
<br><sharethis />
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* [http://beta.wikiversity.org/wiki/Universe_of_discourse Universe of Discourse], [http://beta.wikiversity.org/ Wikiversity Beta]
  
 
[[Category:Inquiry]]
 
[[Category:Inquiry]]
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[[Category:Open Educational Resource]]
 
[[Category:Peer Educational Resource]]
 
[[Category:Peer Educational Resource]]
 
[[Category:Computer Science]]
 
[[Category:Computer Science]]

Latest revision as of 19:14, 7 November 2015

This page belongs to resource collections on Logic and Inquiry.

The term universe of discourse is generally attributed to Augustus De Morgan (1846).  George Boole (1854) defines it in the following manner:

In every discourse, whether of the mind conversing with its own thoughts, or of the individual in his intercourse with others, there is an assumed or expressed limit within which the subjects of its operation are confined. … Now, whatever may be the extent of the field within which all the objects of our discourse are found, that field may properly be termed the universe of discourse. (Boole 1854/1958, p. 42).

References

  • Boole, George (1854/1958), An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, Macmillan Publishers, 1854. Reprinted with corrections, Dover Publications, New York, NY, 1958.
  • De Morgan, Augustus (1846), Cambridge Philosophical Transactions, viii, p. 380.

Resources

Syllabus

Focal nodes

Peer nodes

Logical operators

Template:Col-breakTemplate:Col-breakTemplate:Col-end

Related topics

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Relational concepts

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Information, Inquiry

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Related articles

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

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.