Closed Loop Interval Ontology
       The Digital Integration of Conceptual Form


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Project under development
Evolving and coalescing

Guiding motivation
Why we do this

Objectives and strategy
Reconciliation and integration

Reconciliation of perspectives
Holistic view on alternatives

What is truth?
How do we know?

What is a concept?
Definitions and alternatives

How meaning is created

Universal Hierarchy
Spectrum of levels

A Universal Foundation
The closed loop ensemble contains
all primary definitions

Dimensions of set theory

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

Hierarchical models

Digital geometry
Euclid in digital space

The digital integration
of conceptual form

Compositional semantics

Closed loop interval ontology
How it works

Cognitive science
The integrated science of mind

What does it mean?

Formal systematic definitions
Core terms

Data structures
Constructive elements
and building blocks

Preserving data under transformation

Steady-state cosmology
In the beginning

Semantic ontology
Domain and universal

From other sources

Hierarchical models

Over the years of this work, many interpretations of semantic structure have emerged that are based on various forms of hierarchy.

The Closed Loop model is a kind of "compactification" of these models, supposedly containing all of their meaning and implications without data loss, and compressing them into a single algebraic object while retaining all distinctions and structure.

These initial diagrams show basic properties of hierarchy and abstraction and concept formation.

They show the similarity or isomorphism of basic conceptual structures with our underlying general form of "the strip".

Concept as hierarchy
Hierarchy of abstraction
Tree and taxonomy
Tree taxonomy square
Hierarchy taxonomy levels
Graphic upload test
Top down and bottom up

Concept as hierarchy

Hierarchy of abstraction

This form demonstrates a hierarchy of abstraction in terms of the "relabeling of boundary values" for purposes of psychological convenience.

It shows the hierarchy of variable types, ranging from "ratio" to "interval" to "ordinal" to "nominal", where "ratio" has a defined 0 point.

A person might want to simply say "It was a hot day." If their friend wants to ask "How hot?", they can respond by drilling down to a more specific level of measurement. Maybe "very hot" -- or maybe "100 degrees".

Tree and taxonomy

Tree taxonomy square

Hierarchy taxonomy levels

this is a little thing -- is it centered

width test - no margin, no border, no padding, maxwidth 762

This diagram is intended to show several simple examples of hierarchical form and classification, emphasizing the vertical axis ranging from lower levels to higher levels, and defining this range within the upper and lower bounds of "the strip".

The red lines across the top and bottom of this form are boundaries -- they are limits, they are "the edges of the closed loop" as seen in the flat plane -- and in the closed loop, they connect to form one single edge.

We are asking some questions, like "what happens when these limit-edges come closer together, or indeed merge to form one line, one edge?" Is that even possible? Can we really compress all this complexity into one infinitesimal infinitely-thin narrow line -- without losing data and specific detail?

Graphic upload test


What is the max-width?

This depends on the browser window

What is the margin inside the display window? How wide is 100%

Browser window at 100%

762 max-width -- 0 margin, 0 padding, 1 border

Where is this thing

Top down and bottom up

The terms "top down" and bottom up are fundamental to hierarchical design and layout.

But it is important to remember that these phrases refer to properties of a model.

We are using the terms in a strict way, and are referring to hierarchical decomposition or assembly of parts or elements of objects

Bottom-up politics begins with individual human beings, and works up through layers of social organization and groups. In the United States the pinnacle of this hierarchy is the president -- as mediated through law, congress, various local and regional regulations, etc.