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

ORIGIN

Please sign in
or register

Email *

Password *

Home | About

Select display
Show public menu
Show all theme groups
Show all themes
Show all terms
Order results by
Alphabetical
Most recently edited
Progress level
Placeholder
Note
Sketch
Draft
Polished


Searches selected display

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


Foundational ontology
A design proposal

We are exploring an approach to a "universal upper ontology" that is defined in terms of general principles instead of specific definitions.

Rather than attempt to define objects in a domain-specific list, we want to explore creating a synthesis of fundamental principles from mathematics and semantics -- on the basis of which any domain-specific ontology could be defined.

We are also considering how every concept or term or object in this framework can also be defined using this same method or protocol.

Definition
Uses of foundational ontology
Challenges to foundational ontology
Top level - numbers - pure form of order
The continuum and binary numbers

Definition
Placeholder | Back

Foundational ontologies are attempts to systematise those categories of thought or reality which are common to all or almost all subject-matters. Commonly considered examples of such categories include ‘object’, ‘quality’, ‘function’, ‘role’, ‘process’, ‘event’, ‘time’, and ‘place’. Amongst existing foundational ontologies, there is both a substantial measure of agreement and some dramatic disagreements. There is currently no uniform consensus concerning how a foundational ontology should be organised, how far its ‘reach’ should be (e.g., is the distinction between physical and non-physical entities sufficiently fundamental to be included here?), and even what role it should play in relation to more specialised domain ontologies. The purpose of this workshop is to provide a forum for researchers and stakeholders to present work on specific foundational ontologies as well as their relations to each other and to the wider ontological enterprise, but also topics related to foundational questions in ontology engineering

https://foust.inf.unibz.it/foust5/

Fri, Apr 23, 2021

Uses of foundational ontology
Placeholder | Back

Foundational ontology is about categories of reality or thought which are common to all or almost all subject-matters. Commonly considered examples of such categories include ‘object’, ‘quality’, ‘function’, ‘role’, ‘process’, ‘event’, ‘time’, and ‘place’. There are several foundational ontologies that provide a systematic formal representation of these categories, their relationships, and interdependencies. Amongst existing foundational ontologies, there is both a substantial measure of agreement and some dramatic disagreements. There is currently no uniform consensus concerning how a foundational ontology should be organised, how far its ‘reach’ should be (e.g., is the distinction between physical and non-physical entities sufficiently fundamental to be included here?), and even what role it should play in relation to more specialised domain ontologies.

The main use of foundational ontologies is as a starting point for the development of domain ontologies and application ontologies. A foundational ontology provides an ontology engineer with a conceptual framework that enables her to analyse a given domain, identify the entities in the domain as specialisations of the generic categories in the foundational ontology, and often reuse relationships (e.g., parthood) from the foundational ontology. The utilisation of foundational ontologies for the development of domain and application ontologies has two main benefits.

Firstly, the ontology engineer can reuse an existing set of well-studied ontological distinctions and design principles instead of having to develop an ad-hoc solution. Secondly, if two domain ontologies are based on the same foundational ontology, it is easier to integrate them.

http://ceur-ws.org/Vol-2708/preface.pdf

Fri, Apr 23, 2021

Challenges to foundational ontology
Placeholder | Back

While the use of knowledge bases is rapidly gaining industrial interest, ontologies are by and large still a fringe technology in most industries. A major impedi9 ment for industrial uptake is often attributed to the lack of scalable knowledge engineering tools and methodologies. Moreover, the development, maintenance, and use of knowledge bases and the tools and methods that are built to support these tasks usually require considerable specialist training. Enterprises that wish to explore the benefits of using semantic technologies will likely lack the necessary competence and will find that there are a few off-the-shelf ontologies, tools, and methodologies that fit their existing system architecture and information flow. The SKALE workshop wants to attract and stimulate novel research and innovative advances of semantic technologies with the aim of making these technologies more easily accessible to and useful for modern data-driven industries. The workshop also wants to investigate where the real world problems are, and where and what are the current show-stoppers for efficient large-scale deployments of ontology-based information systems?

**********

MAINTAINING MODULAR SEPARATION

In the area of ontologies for Knowledge representation and reasoning, knowledge is rarely considered as a monolithic and static structure: partitioning knowledge into distinct modular structures is central to organize knowledge bases, from their design to their management, from their maintenance to their use in knowledge sharing.

Moreover, keeping knowledge in separate modules is essential for representing and for reliable and effective reasoning in changing situations. Finally, evolution of knowledge resources, in terms of updates by newly acquired knowledge, is an important factor influencing the meaningfulness of stored knowledge over time.

Considering these emerging needs, the International Workshop on Ontology Modularity, Contextuality, and Evolution (WOMoCoE) offers the ground to practitioners and researchers to discuss current work on practical and theoretical aspects of modularity, contextuality and evolution of ontology based knowledge resources.

http://ceur-ws.org/Vol-2708/preface.pdf

Fri, Apr 23, 2021

Top level - numbers - pure form of order
Placeholder | Back

Put this at the top -- straight line across the top

line

integer order

analog-to-digital conversion at the edge

then -- arithmetic -- then boolean

descending blocks to create

1) all logical structures

2) all semantic structures

(??)

then the synthetic dimensional theory of semantics and word parsing

for the construction of all semantic meaning

Fri, Apr 23, 2021

The continuum and binary numbers
Draft | Back

The general thesis is

Everything emerges from the continuum (real number line) when it is differentiated in its most primal way, through binary numbers -- 0's and 1's alternating as primary differentiations.

The capacity to make any sort of distinction/differentiation whatsoever -- a "difference that makes a difference" -- a "jnd" -- a "just-noticeable difference"

All logic, all mathematics, all numbers, all description, all construction of abstract objects, begins with this definition

This project is "digital" -- which means it is inherently quantized at every point

"every point" is essentially a matrix cell -- and boundary value intersection in X and Y

  • Binary arithmetic is yin/yang
    • Yin/yang is opposites -- how do we diagram those oppositions
    • See Leibniz
    • Is the continuum "one sided"?
    • Is it "figure/ground"?
  • It is digital and quantized
  • It can construct every number
  • It can construct every word

We are lining up an approach for fundamental definitions, and this may be part of that. Natural number, binary number. How do they fit together as derived from or defined in terms of the continuum? From this basis we want to define all types of numbers -- and from there -- the quantization of synthetic dimensions -- qualitative dimensionality defined by stipulation.

Consider the Peat/Bohm discussion of category formation, and how "birds are distinguished from squirrels" -- and how are these differences noted or symbolically represented?

In what sense is the distinguishing difference binary -- or involving "opposites"? How does "figure/ground" involve "opposites"?

There emerges a line of separation -- a boundary -- maybe in many dimensions (squirrels and birds are different in many ways)

But maybe it starts very simple -- some fly, some only jump from branch to branch

How is that cognized?

Tue, May 11, 2021

Reference
In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" (zero) and "1" (one).

The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit, or binary digit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because of the simplicity of the language.

URL
https://en.wikipedia.org/wiki/Binary_number