Closed Loop Interval Ontology
 CLOSED LOOP INTERVAL ONTOLOGY        The Digital Integration of Conceptual Form

ORIGIN

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Aligning the vision

Evolving and coalescing

Why we do this

Ethics / governance / science

Homeostatic governance

Idealized democracy

Reconciliation and integration

Holistic view on alternatives

Definitions and alternatives

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How do we know?

How meaning is created

Foundational recursive definition

Spectrum of levels

The closed loop ensemble contains
all primary definitions

Dimensions of set theory

What is a number?

Topology of sets

How are they constructed?

Primary terms

Closed Loop framework

Hierarchical models

Euclid in digital space

Foundational method

Compositional semantics

How it works

The integrated science of mind

What does it mean?

Core terms

Constructive elements
and building blocks

Preserving data under transformation

In the beginning

Domain and universal

A design proposal

Mapping the grid

From other sources

Foundational computation

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 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 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 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 mapâ€“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."

 Continuum Under the twist" that transforms the basic decomposition matrix("the strip") into a Moebius Strip, the boundaries A-B (the undifferentiated unit interval) and C-D (the infinitesimal) transform into one continuous line. This line appears "straight" at any point where it is viewed in a normal dimensional perspective *** Generic definition from google search a continuous sequence in which adjacent elements are not perceptibly different from each other, although the extremes are quite distinct. "at the fast end of the fast-slow continuum" MATHEMATICS the set of real numbers. Sat, Apr 3, 2021 Reference Continuum may refer to: Mathematics Continuum (set theory), the real line or the corresponding cardinal number Linear continuum, any ordered set that shares certain properties of the real line Continuum (topology), a nonempty compact connected metric space (sometimes Hausdorff space) Continuum hypothesis, the hypothesis that no infinite sets are larger than the integers but smaller than the real numbers Cardinality of the continuum, a cardinal number that represents the size of the set of real numbers Continuum (measurement), theories or models that explain gradual transitions from one condition to another without abrupt changes Mathematics Continuum (set theory), the real line or the corresponding cardinal number Linear continuum, any ordered set that shares certain properties of the real line Continuum (topology), a nonempty compact connected metric space (sometimes Hausdorff space) Continuum hypothesis, the hypothesis that no infinite sets are larger than the integers but smaller than the real numbers Cardinality of the continuum, a cardinal number that represents the size of the set of real numbers