Closed Loop Interval Ontology
       The Digital Integration of Conceptual Form


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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

The dimensional construction of abstract objects
Foundational method

We are proposing that all abstract objects can ideally should be constructed following the basic common method of synthetic dimensions.

This is a synthetic/constructed method that serves the agenda of system-wide consistency at what appears to be "the highest level."

Construction of abstractions from one primitive element
The simplest mathematics

Construction of abstractions from one primitive element
Sketch | Back

We want to build objects out of one primitive

What is that one primitive?

Is it a simple object? a difference? a distinction? a value? an interval?

what is an abstract object?

what is a dimension?

why is this an advantageous thing to do?

all concepts emerge from the continuum

and are constructed from the continuum from atonic-level distinctions or dimensions

how is a distinction a dimension?

distinctions are built from differences

differences in color or shape or basic sensory dimensions

what is the continuum?

how does a distinction emerge from the continuum?

how is that distinction coded - symbolically or in memory or in visualization?


In particular, as an interesting and possibly fruitful example, we want to look at Barry Smith's concept of

Object property

A generalization of the concept of "property" -- "property of an object"

or -- how two objects in the class hierarchy are related to each oother

those choices are

attaches_to bounds branch_of constitutional_part_of part_of regional_part_of systemic_part_of

So, the investigation is

1) can we construct all objects that are going to be linked to the objects we discuss in terms of dimensions?

2) can these general object properties be defined in terms of dimensions?

Mon, May 10, 2021

The simplest mathematics
Sketch | Back

This project is driven by an instinct for minimal complexity and the simplest possible way to construct mathematical and symbolic forms

Construct everything from the same basic framework

Sun, May 9, 2021