Difference between revisions of "Logic of relatives"
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The '''logic of relatives''', more precisely, the '''logic of relative terms''', is the study of [[relation (mathematics)|relation]]s 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 '''logic of relatives''', more precisely, the '''logic of relative terms''', is the study of [[relation (mathematics)|relation]]s 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 term]]s'' 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 [[Logic of Relatives (1870)| | + | The consideration of ''[[relative term]]s'' 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 [[Logic of Relatives (1870)|“Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic” (1870)]]. |
==See also== | ==See also== | ||
| Line 13: | Line 13: | ||
==References== | ==References== | ||
| − | * [[Charles Sanders Peirce|Peirce, C.S.]], | + | * [[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. |
==Bibliography== | ==Bibliography== | ||
| − | * [[Aristotle]], | + | * [[Aristotle]], “[[The Categories]]”, [[Harold P. Cooke]] (trans.), pp. 1–109 in ''Aristotle, Vol. 1'', [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938. |
| − | * Aristotle, | + | * Aristotle, “[[On Interpretation]]”, [[Harold P. Cooke]] (trans.), pp. 111–179 in ''Aristotle, Vol. 1'', [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938. |
| − | * Aristotle, | + | * 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. | ||
| − | * Maddux, Roger D., ''Relation Algebras'', vol. 150 in | + | * 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., ''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. | ||
Revision as of 12:38, 25 August 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).
See also
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.
Bibliography
- Aristotle, “The Categories”, Harold P. Cooke (trans.), pp. 1–109 in Aristotle, Vol. 1, Loeb Classical Library, William Heinemann, London, UK, 1938.
- 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.
- 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-endPeer nodes
- Logic of Relatives @ MyWikiBiz
- Logic of Relatives @ MathWeb Wiki
- Logic of Relatives @ NetKnowledge
- Logic of Relatives @ OER Commons
- Logic of Relatives @ P2P Foundation
- Logic of Relatives @ SemanticWeb
- Logic of Relatives @ Subject Wikis
- Logic of Relatives @ Wikiversity Beta
Logical operators
Related topics
- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic
Relational concepts
Information, Inquiry
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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.
- Logic of Relatives, MyWikiBiz
- Logic of Relatives, MathWeb Wiki
- Logic of Relatives, NetKnowledge
- Logic of Relatives, OER Commons
- Logic of Relatives, P2P Foundation
- Logic of Relatives, Semantic Web
- Logic of Relatives, Wikiversity Beta
- Logic of Relatives, Google Knol
- Logic of Relatives, GetWiki
- Logic of Relatives, Wikinfo
- Logic of Relatives, Textop Wiki
- Logic of Relatives, Wikipedia
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