Closed Loop Interval Ontology
     CLOSED LOOP INTERVAL ONTOLOGY
       The Digital Integration of Conceptual Form
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The Many Forms of Many/One
Universal conceptual form

Invocation
Aligning the vision

Project under development
Evolving and coalescing

Guiding motivation
Why we do this

A comprehensive vision
Ethics / governance / science

Cybernetic democracy
Homeostatic governance

Collective discernment
Idealized democracy

Objectives and strategy
Reconciliation and integration

Reconciliation of perspectives
Holistic view on alternatives

What is a concept?
Definitions and alternatives

Theories of concepts
Compare alternatives

What is truth?
How do we know?

Semantics
How meaning is created

Synthetic dimensionality
Foundational recursive definition

Universal hierarchy
Spectrum of levels

A universal foundation
The closed loop ensemble contains
all primary definitions

Set
Dimensions of set theory

Numbers
What is a number?

Venn diagrams
Topology of sets

Objects in Boolean algebra
How are they constructed?

Core vocabulary
Primary terms

Core terms on the strip
Closed Loop framework

Graphics
Hierarchical models

Digital geometry
Euclid in digital space

The dimensional construction
of abstract objects
Foundational method

The digital integration
of conceptual form
Compositional semantics

Closed loop interval ontology
How it works

Cognitive science
The integrated science of mind

Equality
What does it mean?

Formal systematic definitions
Core terms

Data structures
Constructive elements
and building blocks

Compactification
Preserving data under transformation

Steady-state cosmology
In the beginning

Semantic ontology
Domain and universal

Foundational ontology
A design proposal

Coordinate systems
Mapping the grid

Articles
From other sources

Arithmetic
Foundational computation

Plato's republic and
homeostatic democracy
Perfecting political balance

Branching computational architecture
Simultaneity or sequence

Abstract math and HTML
Concrete symbolic representation

All knowledge as conceptual
Science, philosophy and math
are defined in concepts

Does the Closed Loop
have an origin?
Emerging from a point


A universal foundation
The closed loop ensemble contains all primary definitions

An Experimental Development

"Closed Loop Interval Ontology" is an experimental research project exploring the development of an integral design as a common foundation for science, mathematics, semantic ontology and the humanities.

The design is based on the idea that all concepts share certain basic features, and that the structure of concepts in some important regards can be extended to all forms of description, including science and mathematics.

The project presumes that all concepts, regardless of discipline or sector or culture, can be "constructed" from certain very fundamental common principles, which can be described precisely in mathematical terms. These mathematical terms involve "symbolic representation" and are generally consistent with the needs and methods of computer science.

Closed Loop as universal container

We are studying the nature of boundaries, and considering alternatives, such as the circular framework of Venn diagrams, which define what is IN a set ("inside the circle") and what is NOT IN a set ("outside the circle") by the circular boundary.

A integral hypothesis

The Closed Loop is a postulate, an interpretation, that should be tested for its usefulness and consistency. It is an attempt at absolute broad inclusion and simple elegance. Is it valid? Is it helpful? Is it truly simplifying? Does it lead the way towards better understanding and better cooperation or interaction between projects and sectors and "silos"? Does it suggest ways that fragmentation can be addressed and overcome? Does it legitimately map the interconnection between traditionally unreconcilable facets of human thinking, such as "religion" and "science", or "science and the humanities", or between the worlds of quantitative measurement and qualities?

The map and the territory

Symbolic representation is a complex and sensitive subject, involving the relationship between an abstract symbol -- a sound, a letter, a word, a number, and each of these things somehow represented in some medium -- and some facet of "reality". It is related to the famous issue of the "map and territory" relationship. In essence, we are studying the properties of maps, while careful considering the relationship of the map (the abstract symbolic structure) to the "territory" (the physical reality or object) it represents.

Closed Loop ontology is a kind of compositional semantics, proposing a method to define all meaning in terms of a basic language of very simple primitive elements which can fully describe and characterize any concept or idea or "model of reality".

It works by proposing common structural features which are interpreted through (within) a closed algebraic space containing essential building blocks for developing all semantic and mathematical structures. We are calling the basic algebraic elements of this structure an "ensemble" because these concepts (taxonomy, abstraction, dimensionality, number, boundary, continuum, etc.) work together to complete characterize meaning.

That "closed algebraic space" is the "closed loop", a single bounded algebraic container which we believe might offer a strong way to overcome the fragmentation and inconsistent mutual definitions inherent in more traditional approaches to ontology and mathematics.

The common ground of analysis
An integral model
The map is not the territory

The common ground of analysis
Draft | Back

We are exploring ways to converge independently-conceived and diverse methods of analysis into common formats that represent their particular intent as faithfully as possible, making the experimental claim that universal definitions are feasible and useful.

We are considering the visionary idea that that the fundamentals of logic and semantics, though discovered independently, and generally discussed as if they are logically independent, can and ideally should be viewed as interdependent functions within the bounds of a single logical space, capable to supporting of the smooth interconnection between every type of logic and form of symbolic representation.

The Closed Loop provides a model of the fundamentals of semantics, logic and mathematics. As this project continues to build and gather momentum, we are continuing to explore the connections and "fit" between the pieces.

Mon, Apr 5, 2021

An integral model
Draft | Back

Closed Loop is an "integral model of conceptual structure". It proposes a single common framework capable of holding and organizing all levels and categories of human thinking, within a single spectrum and framework, defined across levels of abstraction like a taxonomy.

It is "integral" because it "combines into one" many separate disciplines and categories of human thinking. It proposes a single spectrum of levels linking empiricism and specifics with abstraction and general principles.

Sun, May 2, 2021

The map is not the territory
Sketch | Back

Concepts and words and numbers are symbolic abstractions, that we use to describe some aspect of reality. Using these abstractions, we create a "map" of reality.

Mon, Apr 19, 2021

Reference
The map–territory relation describes the relationship between an object and a representation of that object, as in the relation between a geographical territory and a map of it. Polish-American scientist and philosopher Alfred Korzybski remarked that "the map is not the territory" and that "the word is not the thing", encapsulating his view that an abstraction derived from something, or a reaction to it, is not the thing itself. Korzybski held that many people do confuse maps with territories, that is, confuse models of reality with reality itself. The relationship has also been expressed in other terms, such as Alan Watts's "The menu is not the meal."

URL
https://en.wikipedia.org/wiki/Map%E2%80%93territory_relation

A universal foundation for ontology
What is truth?