Survey of Relation Theory

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Jon Awbrey

Mar 23, 2024, 4:08:19 PMMar 23
to Conceptual Graphs, Cybernetic Communications, Laws of Form, Structural Modeling, SysSciWG
Survey of Relation Theory
https://inquiryintoinquiry.com/2024/03/23/survey-of-relation-theory-8/

All,

In the present Survey of blog and wiki resources for Relation Theory,
relations are viewed from the perspective of combinatorics, in other
words, as a topic in discrete mathematics, with special attention to
finite structures and concrete set‑theoretic constructions, many of
which arise quite naturally in applications.

This approach to relation theory is distinct from, though closely
related to, its study from the perspectives of abstract algebra
on the one hand and formal logic on the other.

A few basic articles are linked below.

Relation Theory
https://oeis.org/wiki/Relation_theory

Relation Composition
https://oeis.org/wiki/Relation_composition

Relation Construction
https://oeis.org/wiki/Relation_construction

Relation Reduction
https://oeis.org/wiki/Relation_reduction

Relative Term
https://oeis.org/wiki/Relative_term

Sign Relation
https://oeis.org/wiki/Sign_relation

Six Ways of Looking at a Triadic Relation ⌬ 1

Mathematical Demonstration and the Doctrine of Individuals
https://inquiryintoinquiry.com/2023/05/16/mathematical-demonstration-and-the-doctrine-of-individuals-1-a/
https://inquiryintoinquiry.com/2023/05/16/mathematical-demonstration-and-the-doctrine-of-individuals-2-a/

Peirce's 1870 “Logic of Relatives”
https://inquiryintoinquiry.com/2019/09/24/peirces-1870-logic-of-relatives-overview/
https://inquiryintoinquiry.com/2014/01/27/peirces-1870-logic-of-relatives-preliminaries/

Regards,

Jon

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