#triadicrelations — Public Fediverse posts on home.social

Jon Awbrey @[email protected] · 2026-08-28 · 12:28 UTC

Reflective Interpretive Frameworks • Incident 2
• https://inquiryintoinquiry.com/2026/08/27/reflective-interpretive-frameworks-incident-2/

Re: Terence Tao • Modular Arithmetic Challenge
• https://terrytao.wordpress.com/2026/06/08/modular-arithmetic-challenge/
• https://competition.sair.foundation/competitions/modular-arithmetic-challenge/overview

The Modular Arithmetic Challenge asks a simple question:

• Can a neural network learn to do modular multiplication efficiently?

Incidental Reflection 1 —

There are alternative models of neural networks which do not depend on threshold neurons and endlessly fiddling with weights.

Incidental Reflection 2 —

The series of three blog posts linked below present a case study comparing two ways of handling a classic example from the Parallel Distributed Processing paradigm, namely, the “Jets and Sharks” database problem, first taking up the original treatment by McClelland and Rumelhart and then proceeding according to a program I developed for propositional logic modeling. The latter method makes use of ideas from Grossberg's competition‑cooperation and winner‑take‑all dynamics, but is purely propositional‑logic based, involving no extraneous weights.

Theme One Program • Jets and Sharks
(1) https://inquiryintoinquiry.com/2024/06/20/theme-one-program-jets-and-sharks-1-a/
(2) https://inquiryintoinquiry.com/2024/06/22/theme-one-program-jets-and-sharks-2-a/
(3) https://inquiryintoinquiry.com/2024/06/23/theme-one-program-jets-and-sharks-3-a/

Resources —

Survey of Theme One Program
• https://inquiryintoinquiry.com/2025/05/06/survey-of-theme-one-program-7/

Differential Analytic Turing Automata
• https://oeis.org/wiki/Differential_Analytic_Turing_Automata_%E2%80%A2_Overview

#Peirce #HigherOrderSignRelations #Inquiry #InquiryIntoInquiry #Logic #Mathematics
#Recursion #Reflection #RelationTheory #Semiotics #SignRelations #TriadicRelations
#PropositionalModels #MinimalNegationOperators #DifferentialAnalyticTuringAutomata
#CactusGraphs #CactusLanguage #DifferentialLogic #NeuralNetworks #SequenceLearning

#sequencelearning #neuralnetworks #differentiallogic #cactuslanguage #cactusgraphs #differentialanalyticturingautomata

Jon Awbrey @[email protected] · 2024-01-26 · 13:45 UTC

Survey of Semiotics, Semiosis, Sign Relations • 5
• https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/

C.S. Peirce defines “logic” as “formal semiotic”, using “formal” to distinguish the role of logic as a normative science, over and above the descriptive study of signs and their role in wider fields of play. Understanding logic as Peirce understands it thus requires a companion study of semiotics, semiosis, and sign relations.

What follows is a Survey of blog and wiki resources on the theory of signs, variously known as “semeiotic” or “semiotics”, and the actions referred to as “semiosis” which transform signs among themselves in relation to their objects, all as based on C.S. Peirce's concept of triadic sign relations.

Please follow the above link for the full set of resources.
Articles and blog series on the core ideas are linked below.

Elements —

• Semeiotic ( https://oeis.org/wiki/Semeiotic )

• Sign Relations ( https://oeis.org/wiki/Sign_relation )

Sources —

C.S. Peirce • On the Definition of Logic
• https://inquiryintoinquiry.com/2012/06/01/c-s-peirce-on-the-definition-of-logic/

C.S. Peirce • Logic as Semiotic
• https://inquiryintoinquiry.com/2012/06/04/c-s-peirce-logic-as-semiotic/

C.S. Peirce • Objective Logic
• https://inquiryintoinquiry.com/2012/03/09/c-s-peirce-objective-logic/

Blog Series —

• Semeiotic ( https://inquiryintoinquiry.com/2008/07/30/semeiotic/ )

#Peirce #Logic #LogicAsSemiotics #Semeiotic #Semiotics #Semiosis
#RelationTheory #InterpretiveFrameworks #ObjectiveFrameworks
#SystemsOfInterpretation #SignRelations #TriadicRelations

#triadicrelations #signrelations #systemsofinterpretation #objectiveframeworks #interpretiveframeworks #relationtheory

Jon Awbrey @[email protected] · 2023-07-29 · 16:00 UTC

Survey of Semiotics, Semiosis, Sign Relations • 4
• https://inquiryintoinquiry.com/2023/04/05/survey-of-semiotics-semiosis-sign-relations-4/

C.S. Peirce defines “logic” as “formal semiotic”, using “formal” to distinguish the role of logic as a normative science, over and above the more descriptive study of signs in the wild and their antics at large. Understanding logic as Peirce understood it therefore requires a companion study of semiotics, semiosis, and sign relations.

This is a Survey of blog and wiki resources on the theory of signs, also known as “semeiotic” or “semiotics”, and the actions referred to as “semiosis” which transform signs among themselves in relation to their objects, all as based on C.S. Peirce's concept of triadic sign relations.