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

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?

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

Dimensions of set theory

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

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

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

Foundational ontology
A design proposal

Coordinate systems
Mapping the grid

From other sources

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

We are exploring the foundations of human thinking and conceptual form. We are looking for common foundations and a basis for cooperation that extends beyond all cultures and silos and specializations.

World civilization is entering an age of globalization. Our politics and our governance must rise to this occasion, moving us past traditional battles and tribalism, and into an era of empowered collaboration.

At the core of this process we must understand one another. We cannot enforce our ways and assumptions on others, but must weave a shared understanding that recognizes the great power and fluency of our diversity.

Empowered collaboration is the essential principle for a successful civilization. We can learn from one another, and build powerful fluent bridges between once disjoint cultures and sectors and disciplines.

Semantic ontology can play an essential role in this process, interconnecting all the best of human knowledge, insight, wisdom and skill. We are doing what we can to spearhead this process across the full range of human concern and activity.

The partitioning of the continuum
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This project is defined as emerging from the continuum and existing within it. The "partitioning" of the continuum creates every recognizable distinction and difference, every category and concept, every class or type or dimension.

Tue, Feb 16, 2021

Axiomatic method
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We are exploring the axiomatic method as a source of uncertainty and inconsistency in mathematical definition.

We are considering whether axiomatic approaches are inherently fragmenting and limited to "local" implications, and are inquiring as to whether the Closed Loop model as an integral incorporation of many or all basic mathematical definitions could replace the axiomatic approach to foundation issues

Tue, Mar 16, 2021

In mathematics and logic, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A theory is a consistent, relatively-self-contained body of knowledge which usually contains an axiomatic system and all its derived theorems.[1] An axiomatic system that is completely described is a special kind of formal system. A formal theory is an axiomatic system (usually formulated within model theory) that describes a set of sentences that is closed under logical implication.[2] A formal proof is a complete rendition of a mathematical proof within a formal system.



An axiomatic system is said to be consistent if it lacks contradiction. That is, it is impossible to derive both a statement and its negation from the system's axioms. Consistency is a key requirement for most axiomatic systems, as the presence of contradiction would allow any statement to be proven (principle of explosion).

In an axiomatic system, an axiom is called independent if it is not a theorem that can be derived from other axioms in the system. A system is called independent if each of its underlying axioms is independent. Unlike consistency, independence is not a necessary requirement for a functioning axiomatic system — though it is usually sought after to minimize the number of axioms in the system.

An axiomatic system is called complete if for every statement, either itself or its negation is derivable from the system's axioms (equivalently, every statement is capable of being proven true or false).

Relative consistency

Beyond consistency, relative consistency is also the mark of a worthwhile axiom system. This describes the scenario where the undefined terms of a first axiom system are provided definitions from a second, such that the axioms of the first are theorems of the second.

A good example is the relative consistency of absolute geometry with respect to the theory of the real number system.

Lines and points are undefined terms (also called primitive notions) in absolute geometry, but assigned meanings in the theory of real numbers in a way that is consistent with both axiom systems


Measurement units
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Thu, May 6, 2021

Synthetic dimensionality

Holistic visualization - trees and circles
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Three books that inspire this work, reflecting the intuition that has driven it since the beginning

The Book of Circles: Visualizing Spheres of Knowledge by Manuel Lima Hardcover $36.98

The Book of Trees: Visualizing Branches of Knowledge by Manuel Lima Hardcover $22.80

Visual Complexity: Mapping Patterns of Information by Manuel Lima Paperback $33.58

Fri, Apr 30, 2021