Difference between revisions of "Universe of discourse"
MyWikiBiz, Author Your Legacy — Friday April 19, 2024
Jump to navigationJump to searchJon Awbrey (talk | contribs) (+ De Morgan) |
Jon Awbrey (talk | contribs) (→Syllabus: update) |
||
| Line 37: | Line 37: | ||
{{col-begin}} | {{col-begin}} | ||
{{col-break}} | {{col-break}} | ||
| − | * [http:// | + | * [http://mywikibiz.com/Universe_of_discourse Universe of Discourse @ MyWikiBiz] |
| + | * [http://mathweb.org/wiki/Universe_of_discourse Universe of Discourse @ MathWeb Wiki] | ||
| + | * [http://netknowledge.org/wiki/Universe_of_discourse Universe of Discourse @ NetKnowledge] | ||
| + | {{col-break}} | ||
| + | * [http://wiki.oercommons.org/mediawiki/index.php/Universe_of_discourse Universe of Discourse @ OER Commons] | ||
| + | * [http://p2pfoundation.net/Universe_of_Discourse Universe of Discourse @ P2P Foundation] | ||
| + | * [http://semanticweb.org/wiki/Universe_of_discourse Universe of Discourse @ SemanticWeb] | ||
| + | {{col-end}} | ||
| + | |||
| + | ===Logical operators=== | ||
| + | |||
| + | {{col-begin}} | ||
| + | {{col-break}} | ||
| + | * [[Exclusive disjunction]] | ||
| + | * [[Logical conjunction]] | ||
| + | * [[Logical disjunction]] | ||
| + | * [[Logical equality]] | ||
{{col-break}} | {{col-break}} | ||
| − | * [ | + | * [[Logical implication]] |
| + | * [[Logical NAND]] | ||
| + | * [[Logical NNOR]] | ||
| + | * [[Logical negation|Negation]] | ||
{{col-end}} | {{col-end}} | ||
| Line 50: | Line 69: | ||
* [[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}} | ||
| + | |||
| + | ===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}} | {{col-end}} | ||
===Related articles=== | ===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/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://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, “Differential Propositional Calculus”] | ||
| − | * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/ | + | * [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 14:49, 11 May 2010
☞ This page belongs to resource collections on Logic and Inquiry.
C.S. Peirce attributes the term universe of discourse to De Morgan (1846).
Boole (1854) defines universe of discourse 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
Template:Col-breakTemplate:Col-breakTemplate:Col-endPeer nodes
- Universe of Discourse @ MyWikiBiz
- Universe of Discourse @ MathWeb Wiki
- Universe of Discourse @ NetKnowledge
- Universe of Discourse @ OER Commons
- Universe of Discourse @ P2P Foundation
- Universe of Discourse @ SemanticWeb
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.
- Universe of Discourse, MyWikiBiz
- Universe of Discourse, Beta Wikiversity
- Universe of Discourse, PlanetMath
<sharethis />
