Logic of relatives

☞ 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

• Logic of Relatives (1870)
• Logic of Relatives (1883)
• Notes on Peirce's 1870 Logic Of Relatives

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-break

• Inquiry Live

Template:Col-break

• Logic Live

Template:Col-end

Peer nodes

Template:Col-break

• Logic of Relatives @ MyWikiBiz
• Logic of Relatives @ MathWeb Wiki
• Logic of Relatives @ NetKnowledge
• Logic of Relatives @ OER Commons

Template:Col-break

• Logic of Relatives @ P2P Foundation
• Logic of Relatives @ SemanticWeb
• Logic of Relatives @ Subject Wikis
• Logic of Relatives @ Wikiversity Beta

Template:Col-end

Logical operators

Template:Col-break

• Exclusive disjunction
• Logical conjunction
• Logical disjunction
• Logical equality

Template:Col-break

• Logical implication
• Logical NAND
• Logical NNOR
• Negation

Template:Col-end

Related topics

Template:Col-break

• Ampheck
• Boolean domain
• Boolean function
• Boolean-valued function
• Differential logic

Template:Col-break

• Logical graph
• Minimal negation operator
• Multigrade operator
• Parametric operator
• Peirce's law

Template:Col-break

• Propositional calculus
• Sole sufficient operator
• Truth table
• Universe of discourse
• Zeroth order logic

Template:Col-end

Relational concepts

Template:Col-break

• Continuous predicate
• Hypostatic abstraction
• Logic of relatives
• Logical matrix

Template:Col-break

• Relation
• Relation composition
• Relation construction
• Relation reduction

Template:Col-break

• Relation theory
• Relative term
• Sign relation
• Triadic relation

Template:Col-end

Information, Inquiry

Template:Col-break

• Inquiry
• Dynamics of inquiry

Template:Col-break

• Semeiotic
• Logic of information

Template:Col-break

• Descriptive science
• Normative science

Template:Col-break

• Pragmatic maxim
• Truth theory

Template:Col-end

Related articles

• Jon Awbrey, “Semiotic Information”

• Jon Awbrey, “Introduction To Inquiry Driven Systems”

• Jon Awbrey, “Prospects For Inquiry Driven Systems”

• Jon Awbrey, “Inquiry Driven Systems : Inquiry Into Inquiry”

• Jon Awbrey, “Propositional Equation Reasoning Systems”

• Jon Awbrey, “Differential Logic : Introduction”

• Jon Awbrey, “Differential Propositional Calculus”

• Jon Awbrey, “Differential Logic and Dynamic Systems”

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.

Template:Col-break

• 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

Template:Col-break

• 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

Template:Col-end
<sharethis />