Survey of Relation Theory

[Jon Awbrey]

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.

Please follow the above link for the full set of resources.
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

Triadic Relation
• https://oeis.org/wiki/Triadic_relation

Six Ways of Looking at a Triadic Relation ⌬ 1
• https://inquiryintoinquiry.com/2015/02/04/six-ways-of-looking-at-a-triadic-relation-%E2%8C%AC-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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