Higher Order Sign Relations • Discussion 1
https://inquiryintoinquiry.com/2025/03/27/higher-order-sign-relations-discussion-1-a/

Re: FB | Charles S. Peirce Society • John Corcoran
https://www.facebook.com/groups/peircesociety/posts/1768975423238442/

Questions about the proper treatment of use and mention from the standpoint of Peirce’s theory of signs came up recently in discussions on Facebook. In pragmatic semiotics the trade‑off between “signs-of-objects” and “signs-as-objects” opens up the wider space of Higher Order Sign Relations. In previous work on Inquiry Driven Systems I introduced the subject in the following way.

When interpreters reflect on their use of signs they require an appropriate technical language in which to pursue their reflections. They need signs referring to sign relations, signs referring to elements and components of sign relations, and signs referring to properties and classes of sign relations. The orders of signs developing as reflection evolves can be organized under the heading of “higher order signs” and the reflective sign relations involving them can be referred to as “higher order sign relations”.

References —

John Corcoran
https://johncorcoran.academia.edu/

Schemata : The Concept of Schema in the History of Logic
https://www.academia.edu/12691868/SCHEMATA_THE_CONCEPT_OF_SCHEMA_IN_THE_HISTORY_OF_LOGIC

Use And Mention, Use Without Mention, Mention Without Use
https://www.academia.edu/s/ea64a3484e/schemata#comment_525151

Resources —

Higher Order Sign Relations
https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations

Survey of Inquiry Driven Systems
https://inquiryintoinquiry.com/2024/02/28/survey-of-inquiry-driven-systems-6/

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

#Peirce #Inquiry #Logic #Mathematics #Reflection
#Semiotics #SignRelations #HigherOrderSignRelations
#InquiryDrivenSystems #ReflectiveInterpretiveFrameworks
#Arithmetization #GödelNumbers #Quotation #UseAndMention

Higher Order Sign Relations • Discussion 1

Re: FB | Charles S. Peirce Society • John Corcoran Questions about the proper treatment of use and mention from the standpoint of Peirce’s theory of signs came up recently in discussions…

Inquiry Into Inquiry

Higher Order Sign Relations • 1
https://inquiryintoinquiry.com/2025/03/22/higher-order-sign-relations-1-a/

Higher Order Sign Relations • Introduction —

When interpreters reflect on their use of signs they require an appropriate technical language in which to pursue their reflections. They need signs referring to sign relations, signs referring to elements and components of sign relations, and signs referring to properties and classes of sign relations. The orders of signs developing as reflection evolves can be organized under the heading of “higher order signs” and the reflective sign relations involving them can be referred to as “higher order sign relations”.

Some years ago I was formatting my old dissertation proposal on Inquiry Driven Systems for the web when the subject of “signs about signs” arose on the Peirce List. It called to mind the part of my document on Higher Order Sign Relations, on which basis Reflective Interpretive Frameworks are constructed, and the introduction to which begins as above.

Resources —

Inquiry Driven Systems
https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Overview

Reflective Interpretive Frameworks
https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_10#Reflective_Interpretive_Frameworks

Higher Order Sign Relations
https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations

Survey of Inquiry Driven Systems
https://inquiryintoinquiry.com/2024/02/28/survey-of-inquiry-driven-systems-6/

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

#Peirce #Inquiry #Logic #Mathematics #Reflection
#Semiotics #SignRelations #HigherOrderSignRelations
#InquiryDrivenSystems #ReflectiveInterpretiveFrameworks

Higher Order Sign Relations • 1

Higher Order Sign Relations • Introduction When interpreters reflect on their use of signs they require an appropriate technical language in which to pursue their reflections.  They need …

Inquiry Into Inquiry

Theory and Therapy of Representations • 5
https://inquiryintoinquiry.com/2025/02/25/theory-and-therapy-of-representations-5-b/

Re: R.J. Lipton and K.W. Regan • Legal Complexity
https://rjlipton.com/2022/09/04/legal-complexity/

❝I do not pretend to understand the moral universe;
the arc is a long one, my eye reaches but little ways;
I cannot calculate the curve and complete the figure by
the experience of sight; I can divine it by conscience.
And from what I see I am sure it bends towards justice.❞

🙞 Theodore Parker
https://web.archive.org/web/20200302045624/https://books.google.com/books?id=eHgYAAAAYAAJ&pg=PA48#v=onepage&q&f=false

The arc of the moral universe may bend toward justice — there's hope it will.
For the logic of laws to converge on justice may take some doing on our part.

Resources —

Survey of Cybernetics
https://inquiryintoinquiry.com/2024/01/25/survey-of-cybernetics-4/

Survey of Differential Logic
https://inquiryintoinquiry.com/2024/02/25/survey-of-differential-logic-7/

Survey of Inquiry Driven Systems
https://inquiryintoinquiry.com/2024/02/28/survey-of-inquiry-driven-systems-6/

#AdaptiveSystems #Cybernetics #SystemsTheory #Governance #Democracy
#Plato #Peirce #MaxWeber #Accountability #Representation #Statistics
#Inquiry #InquiryDrivenSystems #Observation #Expectation #Intention

Theory and Therapy of Representations • 5

Re: R.J. Lipton and K.W. Regan • Legal Complexity I do not pretend to understand the moral universe; the arc is a long one, my eye reaches but little ways; I cannot calculate the curve and com…

Inquiry Into Inquiry

Theory and Therapy of Representations • 4
https://inquiryintoinquiry.com/2025/02/24/theory-and-therapy-of-representations-4-b/

Re: Ontolog Forum • Paola Di Maio
https://groups.google.com/g/ontolog-forum/c/Ek_7cCCyFkQ/m/qI0kQv4UAgAJ

JA: What are the forces distorting our representations of what's observed, what's expected, and what's intended?

PDM: The short answer is — the force behind all distortions is our own unenlightened mind, and all the shortfalls this comes with.

I think that's true, we have to keep reflecting on the state of our personal enlightenments. If we can do that without losing our heads and our systems thinking caps, there will be much we can do to promote the general Enlightenment of the State.

On both personal and general grounds we have a stake in the projects of self‑governing systems — whether it is possible for them to exist and what it takes for them to thrive in given environments. Systems on that order have of course been studied from many points of view and at many levels of organization. Whether we address them under the names of adaptive, cybernetic, error-correcting, intelligent, or optimal control systems they all must be capable to some degree of learning, reasoning, and self‑guidance.

Resources —

Survey of Cybernetics
https://inquiryintoinquiry.com/2024/01/25/survey-of-cybernetics-4/

Survey of Differential Logic
https://inquiryintoinquiry.com/2024/02/25/survey-of-differential-logic-7/

Survey of Inquiry Driven Systems
https://inquiryintoinquiry.com/2024/02/28/survey-of-inquiry-driven-systems-6/

#AdaptiveSystems #Cybernetics #SystemsTheory #Governance #Democracy
#Plato #Peirce #MaxWeber #Accountability #Representation #Statistics
#Inquiry #InquiryDrivenSystems #Observation #Expectation #Intention

Theory and Therapy of Representations • 4

Re: Theory and Therapy of Representations • 3 Re: Ontolog Forum • Paola Di Maio JA: What are the forces distorting our representations of what’s observed, what’s expected…

Inquiry Into Inquiry

Theory and Therapy of Representations • 3.2
https://inquiryintoinquiry.com/2025/02/23/theory-and-therapy-of-representations-3-b/

Scene 2. Theory and Therapy of Representations • 1
https://inquiryintoinquiry.com/2025/02/21/theory-and-therapy-of-representations-1-b/

Statistics were originally the data a ship of state needed for stationkeeping and staying on course. The Founders of the United States, like the Cybernauts of the Enlightenment they were, engineered a ship of state with checks and balances and error-controlled feedbacks for the sake of representing both reality and the will of the people. In that connection Max Weber saw how a state's accounting systems are intended as representations of realities its crew and passengers must observe or perish.

That brings us to Question 2 —

• What are the forces distorting our representations of what's observed, what's expected, and what's intended?

Resources ─

Survey of Cybernetics
https://inquiryintoinquiry.com/2024/01/25/survey-of-cybernetics-4/

Pragmatic Theory Of Truth
https://oeis.org/wiki/Pragmatic_Theory_Of_Truth

#AdaptiveSystems #Cybernetics #SystemsTheory #Governance #Democracy
#Plato #Peirce #MaxWeber #Accountability #Representation #Statistics
#Inquiry #InquiryDrivenSystems #Observation #Expectation #Intention

Theory and Therapy of Representations • 3

Representation is a concept we find at the intersection of cybernetics, epistemology, logic, mathematics, psychology, and sociology.  In my studies it led me from math to psych and back again,…

Inquiry Into Inquiry

Theory and Therapy of Representations • 3.1
https://inquiryintoinquiry.com/2025/02/23/theory-and-therapy-of-representations-3-b/

Representation is a concept we find at the intersection of cybernetics, epistemology, logic, mathematics, psychology, and sociology. In my studies it led me from math to psych and back again, with sidelong glances at the history of democratic governance. Its time come round again, I find myself returning to the scenes of two recurring questions.

Scene 1. Pragmatic Truth • Discussion 18
https://inquiryintoinquiry.com/2019/11/14/pragmatic-truth-discussion-18/

We do not live in axiom systems. We do not live encased in languages, formal or natural. There is no reason to think we will ever have exact and exhaustive theories of what's out there, and the truth, as we know, is “out there”. Peirce understood there are more truths in mathematics than are dreamt of in logic — and Gödel’s realism should have put the last nail in the coffin of logicism — but some ways of thinking just never get a clue.

That brings us to Question 1 —

• What are formalisms and all their embodiments in brains and computers good for?

Resources ─

Survey of Cybernetics
https://inquiryintoinquiry.com/2024/01/25/survey-of-cybernetics-4/

Pragmatic Theory Of Truth
https://oeis.org/wiki/Pragmatic_Theory_Of_Truth

#AdaptiveSystems #Cybernetics #SystemsTheory #Governance #Democracy
#Plato #Peirce #MaxWeber #Accountability #Representation #Statistics
#Inquiry #InquiryDrivenSystems #Observation #Expectation #Intention

Theory and Therapy of Representations • 3

Representation is a concept we find at the intersection of cybernetics, epistemology, logic, mathematics, psychology, and sociology.  In my studies it led me from math to psych and back again,…

Inquiry Into Inquiry

Theory and Therapy of Representations • 2
https://inquiryintoinquiry.com/2025/02/22/theory-and-therapy-of-representations-2-b/

In a complex society, people making decisions and taking actions at places remote from you have the power to affect your life in significant ways. Those people govern your life, they are your government, no matter what spheres of influence they inhabit, private or public. The only way you get a choice in that governance is if there are paths of feedback permitting you to affect the life of those decision makers and action takers in significant ways. That is what accountability, response-ability, and representative government are all about.

Naturally, some people are against that.

In the United States there has been a concerted campaign for as long as I can remember — but even more concerted since the Reagan Regime — to get the People to abdicate their hold on The Powers That Be and just let some anonymous corporate entity send us the bill after the fact. They keep trying to con the People into thinking they can starve the beast, to limit government, when what they are really doing is feeding the beast of corporate control, weakening their own power over the forces that govern their lives.

That is the road to perdition as far as responsible government goes. There is not much of anything one leader or one administration can do unsupported if the People do not constantly demand a government of, by, and for the People.

Resource ─

Survey of Cybernetics
https://inquiryintoinquiry.com/2024/01/25/survey-of-cybernetics-4/

#AdaptiveSystems #Cybernetics #SystemsTheory #Governance #Democracy
#Plato #Peirce #MaxWeber #Accountability #Representation #Statistics
#Inquiry #InquiryDrivenSystems #Observation #Expectation #Intention

Theory and Therapy of Representations • 2

December 19, 2011 In a complex society, people making decisions and taking actions at places remote from you have the power to affect your life in significant ways.  Those people govern your l…

Inquiry Into Inquiry

Theory and Therapy of Representations • 1
https://inquiryintoinquiry.com/2025/02/21/theory-and-therapy-of-representations-1-b/

❝Again, in a ship, if a man were at liberty to do what he chose, but were devoid of mind and excellence in navigation (αρετης κυβερνητικης), do you perceive what must happen to him and his fellow sailors?❞

─ Plato • Alcibiades 135 A

Statistics were originally the data a ship of state needed for stationkeeping and staying on course. The Founders of the United States, like the Cybernauts of the Enlightenment they were, engineered a ship of state with checks and balances and error‑controlled feedbacks for the sake of representing both reality and the will of the people. In that connection Max Weber saw how a state's accounting systems are intended as representations of realities its crew and passengers must observe or perish.

The question for our time is —

• What are the forces distorting our representations of what's observed, what's expected, and what's intended?

Repercussions ─

The Place Where Three Wars Meet
https://inquiryintoinquiry.com/2012/06/21/the-place-where-three-wars-meet/

Resource ─

Survey of Cybernetics
https://inquiryintoinquiry.com/2024/01/25/survey-of-cybernetics-4/

#AdaptiveSystems #Cybernetics #SystemsTheory #Governance #Democracy
#Plato #Peirce #MaxWeber #Accountability #Representation #Statistics
#Inquiry #InquiryDrivenSystems #Observation #Expectation #Intention

Theory and Therapy of Representations • 1

Again, in a ship, if a man were at liberty to do what he chose, but were devoid of mind and excellence in navigation (αρετης κυβερνη…

Inquiry Into Inquiry

Basal Ingredients Of Society • ℞
https://inquiryintoinquiry.com/2025/02/20/basal-ingredients-of-society-%e2%84%9e-a/

❝THE SOCIAL COMPACT❞

❝If then we discard from the social compact what is not of its essence, we shall find that it reduces itself to the following terms:

❝“Each of us puts his person and all his power in common under the supreme direction of the general will, and, in our corporate capacity, we receive each member as an indivisible part of the whole.”❞

Reference —

Jean Jacques Rousseau, “The Social Contract”, G.D.H. Cole (trans.), Great Books of The Western World, Volume 38.

#AdaptiveSystems #Cybernetics #Democracy #Governance
#Inquiry #InquiryDrivenSystems #LearningOrganizations
#Reciprocity #Rousseau #SocialCompact #Sustainability

Basal Ingredients Of Society • ℞

THE SOCIAL COMPACT If then we discard from the social compact what is not of its essence, we shall find that it reduces itself to the following terms: “Each of us puts his person and all his …

Inquiry Into Inquiry

Basal Ingredients Of Society • Prologue
https://inquiryintoinquiry.com/2025/02/18/basal-ingredients-of-society-prologue-a/

I settled on the acronym BIOS to suggest the vital elements of life in society, a life in association with others, and not just any association but one whose flickers of life are sustained for more than a few vicissitudes of history. Sustainability in that life requires democracy, a society based on a distinctive form of social compact.

https://www.academia.edu/community/54MZbO
https://bsky.app/profile/inquiryintoinquiry.bsky.social/post/3lihriaerw224
https://www.researchgate.net/post/Basal_Ingredients_Of_Society

#AdaptiveSystems #Cybernetics #Democracy #Governance
#Inquiry #InquiryDrivenSystems #LearningOrganizations
#Reciprocity #Rousseau #SocialCompact #Sustainability

Basal Ingredients Of Society • Prologue

I settled on the acronym BIOS to suggest the vital elements of life in society, a life in association with others, and not just any association but one whose flickers of life are sustained for more…

Inquiry Into Inquiry