Difference between revisions of "Logic of relatives"

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==References==
 
==References==
  
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* [[Charles Sanders Peirce|Peirce, C.S.]], "Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic", ''Memoirs of the American Academy of Arts and Sciences'' 9, 317–378, 1870.  Reprinted, ''Collected Papers'' CP 3.45–149, ''Chronological Edition'' CE 2, 359–429.
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* [[Charles Sanders Peirce|Peirce, C.S.]], "Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic", ''Memoirs of the American Academy of Arts and Sciences'' 9, 317–378, 1870.  Reprinted, ''Collected Papers'' CP 3.45–149, ''Chronological Edition'' CE 2, 359–429.
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==Related articles==
 +
 
 +
* [[Logic of Relatives (1870)]]
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* [[Logic of Relatives (1883)]]
  
 
==Bibliography==
 
==Bibliography==
  
−
* [[Aristotle]], "[[The Categories]]", [[Harold P. Cooke]] (trans.), pp. 1–109 in ''Aristotle, Vol. 1'',  [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.
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* [[Aristotle]], "[[The Categories]]", [[Harold P. Cooke]] (trans.), pp. 1–109 in ''Aristotle, Vol. 1'',  [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.
  
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* Aristotle, "[[On Interpretation]]", [[Harold P. Cooke]] (trans.), pp. 111–179 in ''Aristotle, Vol. 1'',  [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.
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* Aristotle, "[[On Interpretation]]", [[Harold P. Cooke]] (trans.), pp. 111–179 in ''Aristotle, Vol. 1'',  [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.
  
−
* Aristotle, "[[Prior Analytics]]", [[Hugh Tredennick]] (trans.), pp. 181–531 in ''Aristotle, Vol. 1'', [[Loeb Classical Library]], William Heinemann, London, UK, 1938.  
+
* Aristotle, "[[Prior Analytics]]", [[Hugh Tredennick]] (trans.), pp. 181–531 in ''Aristotle, Vol. 1'', [[Loeb Classical Library]], William Heinemann, London, UK, 1938.  
  
 
* [[George Boole|Boole, George]], ''An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities'', [[Macmillan Publishers|Macmillan]], 1854.  Reprinted with corrections, [[Dover Publications]], New York, NY, 1958.
 
* [[George Boole|Boole, George]], ''An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities'', [[Macmillan Publishers|Macmillan]], 1854.  Reprinted with corrections, [[Dover Publications]], New York, NY, 1958.
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* Maddux, Roger D., ''Relation Algebras'', vol. 150 in 'Studies in Logic and the Foundations of Mathematics', Elsevier Science, 2006.
 
* Maddux, Roger D., ''Relation Algebras'', vol. 150 in 'Studies in Logic and the Foundations of Mathematics', Elsevier Science, 2006.
  
−
* Peirce, C.S., ''Collected Papers of Charles Sanders Peirce'', vols. 1–6, [[Charles Hartshorne]] and [[Paul Weiss]] (eds.), vols. 7–8, [[Arthur W. Burks]] (ed.), Harvard University Press, Cambridge, MA, 1931–1935, 1958.  Cited as CP volume.paragraph.
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* Peirce, C.S., ''Collected Papers of Charles Sanders Peirce'', vols. 1–6, [[Charles Hartshorne]] and [[Paul Weiss]] (eds.), vols. 7–8, [[Arthur W. Burks]] (ed.), Harvard University Press, Cambridge, MA, 1931–1935, 1958.  Cited as CP volume.paragraph.
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 +
* Peirce, C.S., ''Writings of Charles S. Peirce : A Chronological Edition, Volume 2, 1867–1871'', Peirce Edition Project (eds.), Indiana University Press, Bloomington, IN, 1984.  Cited as CE 2.
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==Syllabus==
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===Focal nodes===
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{{col-begin}}
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{{col-break}}
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* [[Inquiry Live]]
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{{col-break}}
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* [[Logic Live]]
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{{col-end}}
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===Peer nodes===
  
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* Peirce, C.S., ''Writings of Charles S. Peirce : A Chronological Edition, Volume 2, 1867–1871'', Peirce Edition Project (eds.), Indiana University Press, Bloomington, IN, 1984. Cited as CE 2.
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{{col-begin}}
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{{col-break}}
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* [http://mywikibiz.com/Logic_of_relatives Logic of Relatives @ MyWikiBiz]
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* [http://mathweb.org/wiki/Logic_of_relatives Logic of Relatives @ MathWeb Wiki]
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* [http://netknowledge.org/wiki/Logic_of_relatives Logic of Relatives @ NetKnowledge]
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{{col-break}}
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* [http://wiki.oercommons.org/mediawiki/index.php/Logic_of_relatives Logic of Relatives @ OER Commons]
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* [http://p2pfoundation.net/Logic_of_Relatives Logic of Relatives @ P2P Foundation]
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* [http://semanticweb.org/wiki/Logic_of_relatives Logic of Relatives @ SemanticWeb]
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{{col-end}}
  
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==Related topics==
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===Logical operators===
  
 
{{col-begin}}
 
{{col-begin}}
 
{{col-break}}
 
{{col-break}}
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* [[Arity]]
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* [[Exclusive disjunction]]
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* [[Binary relation]]
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* [[Logical conjunction]]
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* [[Category theory]]
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* [[Logical disjunction]]
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* [[Database]]
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* [[Logical equality]]
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* [[Logic of Relatives (1870)]]
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{{col-break}}
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* [[Logic of Relatives (1883)]]
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* [[Logical implication]]
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* [[Operation (mathematics)|Operation]]
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* [[Logical NAND]]
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* [[Logical NNOR]]
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* [[Logical negation|Negation]]
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{{col-end}}
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===Related topics===
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{{col-begin}}
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{{col-break}}
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* [[Ampheck]]
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* [[Boolean domain]]
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* [[Boolean function]]
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* [[Boolean-valued function]]
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* [[Differential logic]]
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{{col-break}}
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* [[Logical graph]]
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* [[Minimal negation operator]]
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* [[Multigrade operator]]
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* [[Parametric operator]]
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* [[Peirce's law]]
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{{col-break}}
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* [[Propositional calculus]]
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* [[Sole sufficient operator]]
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* [[Truth table]]
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* [[Universe of discourse]]
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* [[Zeroth order logic]]
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{{col-end}}
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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]]
 
{{col-break}}
 
{{col-break}}
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* [[Operator]]
 
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* [[Predicate]]
 
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* [[Property (philosophy)|Property]]
 
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* [[Proposition]]
 
 
* [[Relation (mathematics)|Relation]]
 
* [[Relation (mathematics)|Relation]]
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* [[Relational algebra]]
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* [[Relation composition]]
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* [[Relational database]]
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* [[Relation construction]]
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* [[Relation reduction]]
 
{{col-break}}
 
{{col-break}}
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* [[Relational model]]
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* [[Relation theory]]
 
* [[Relative term]]
 
* [[Relative term]]
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* [[Rheme]]
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* [[Sign relation]]
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* [[Role]]
 
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* [[Relation theory]]
 
 
* [[Triadic relation]]
 
* [[Triadic relation]]
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* [[Universal algebra]]
 
 
{{col-end}}
 
{{col-end}}
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===Information, Inquiry===
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{{col-begin}}
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{{col-break}}
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* [[Inquiry]]
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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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* [[Pragmatic theory of truth]]
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{{col-break}}
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* [[Semeiotic]]
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* [[Semiotic information]]
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{{col-end}}
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===Related articles===
 +
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, “Introduction To Inquiry Driven Systems”]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, “Prospects For Inquiry Driven Systems”]
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 +
* [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”]
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 +
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, “Differential Logic and Dynamic Systems”]
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[[Category:Inquiry]]
 
[[Category:Inquiry]]

Revision as of 15:48, 18 May 2010

☞ This page belongs to resource collections on Logic and Inquiry.

The logic of relatives, more precisely, the logic of relative terms, is the study of relations as represented in symbolic forms known as rhemes, rhemata, or relative terms. The treatment of relations by way of their corresponding relative terms affords a distinctive perspective on the subject, even though all angles of approach must ultimately converge on the same formal subject matter.

The consideration of relative terms has its roots in antiquity, but it entered a radically new phase of development with the work of Charles Sanders Peirce, beginning with his paper "Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic" (1870).

References

  • Peirce, C.S., "Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic", Memoirs of the American Academy of Arts and Sciences 9, 317–378, 1870. Reprinted, Collected Papers CP 3.45–149, Chronological Edition CE 2, 359–429.

Related articles

Bibliography

  • Boole, George, An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, Macmillan, 1854. Reprinted with corrections, Dover Publications, New York, NY, 1958.
  • Maddux, Roger D., Relation Algebras, vol. 150 in 'Studies in Logic and the Foundations of Mathematics', Elsevier Science, 2006.
  • Peirce, C.S., Collected Papers of Charles Sanders Peirce, vols. 1–6, Charles Hartshorne and Paul Weiss (eds.), vols. 7–8, Arthur W. Burks (ed.), Harvard University Press, Cambridge, MA, 1931–1935, 1958. Cited as CP volume.paragraph.
  • Peirce, C.S., Writings of Charles S. Peirce : A Chronological Edition, Volume 2, 1867–1871, Peirce Edition Project (eds.), Indiana University Press, Bloomington, IN, 1984. Cited as CE 2.

Syllabus

Focal nodes

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

Peer nodes

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

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


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