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

ORIGIN

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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
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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?

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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

http://www.ontobee.org/ontology/catalog/FMA?iri=http://www.w3.org/2002/07/owl%23ObjectProperty

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
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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