Re: [ontolog-forum] Relation Theory

Jon
Is there also an attempt at integrating these relation concepts? like a
meta-model of relations?
Thanks.
Ravi
(Dr. Ravi Sharma, Ph.D. USA)
NASA Apollo Achievement Award
Chair, Ontology Summit 2022
Particle and Space Physics
Senior Enterprise Architect



On Sun, Apr 16, 2023 at 8:01 AM Jon Awbrey <jawbrey@att.net> wrote:

> Cf: Survey of Relation Theory • 6
> https://inquiryintoinquiry.com/2023/04/01/survey-of-relation-theory-6/
>
> All,
>
> In this Survey of blog and wiki posts on 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.
>
> Elements —
> • Relation Theory ( https://oeis.org/wiki/Relation_theory )
>
> Relational Concepts —
> • Relation Construction ( https://oeis.org/wiki/Relation_construction )
> • Relation Composition ( https://oeis.org/wiki/Relation_composition )
> • 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 )
> • Logic of Relatives ( https://oeis.org/wiki/Logic_of_relatives )
> • Hypostatic Abstraction ( https://oeis.org/wiki/Hypostatic_abstraction )
> • Continuous Predicate ( https://oeis.org/wiki/Continuous_predicate )
>
> Illustrations —
>
> 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/
>
> Peirce's 1870 “Logic of Relatives” —
>
> Overview
> •
> https://inquiryintoinquiry.com/2019/09/24/peirces-1870-logic-of-relatives-overview/
>
> Preliminaries
> •
> https://inquiryintoinquiry.com/2014/01/27/peirces-1870-logic-of-relatives-preliminaries/
>
> Regards,
>
> Jon
>
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