The World Code: Mathematical Ontology as the Real Road to Reality

The World Code: Mathematical Ontology as the Real Road to Reality

Azamat Abdoullaev (EIS Encyclopedic Intelligent Systems Ltd, Cyprus)
DOI: 10.4018/978-1-59904-966-3.ch003
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Abstract

Formalizing the world in rigorous mathematical terms is no less significant than its fundamental understanding and modeling in terms of ontological constructs. Like black and white, opposite sexes or polarity signs, ontology and mathematics stand complementary to each other, making up the unique and unequaled knowledge domain or knowledge base, which involves two parts: • Ontological (real) mathematics, which defines the real significance for the mathematical entities, so studying the real status of mathematical objects, functions, and relationships in terms of ontological categories and rules. • Mathematical (formal) ontology, which defines the mathematical structures of the real world features, so concerned with a meaningful representation of the universe in terms of mathematical language. The combination of ontology and mathematics and substantial knowledge of sciences is likely the only one true road to reality understanding, modeling and representation. Ontology on its own can’t specify the fabric, design, architecture, and the laws of the universe. Nor theoretical physics with its conceptual tools and models: general relativity, quantum physics, Lagrangians, Hamiltonians, conservation laws, symmetry groups, quantum field theory, string and M theory, twistor theory, loop quantum gravity, the big bang, the standard model, or theory of everything material. Nor mathematics alone with its abstract tools, complex number calculus, differential calculus, differential geometry, analytical continuation, higher algebras, Fourier series and hyperfunctions is the real path to reality (Penrose, 2005).

Complete Chapter List

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Dedication
Table of Contents
Acknowledgment
Chapter 1
Azamat Abdoullaev
Today, computers anchored to electronic measuring devices, transducers, and telemetric systems are increasingly transforming into worldwide... Sample PDF
Introduction: Toward the Intelligent Civilization of Ontological Technology
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Chapter 2
Azamat Abdoullaev
As a general science of the universe dealing with the most universal truths about all existence, an account of what there is in the world and the... Sample PDF
Ways to View the World: A Standard Ontology as the Reality Framework and the World Code
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Chapter 3
Azamat Abdoullaev
Formalizing the world in rigorous mathematical terms is no less significant than its fundamental understanding and modeling in terms of ontological... Sample PDF
The World Code: Mathematical Ontology as the Real Road to Reality
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Chapter 4
Azamat Abdoullaev
The ultimate purpose of standard ontology is to describe and represent all the things in the world in comprehensive and consistent ways, whereby... Sample PDF
What Makes Reality: Ontological Classes and Rules
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Chapter 5
Azamat Abdoullaev
To model reality by mapping its content to computable forms, we need to know how to represent the first-class entities of any existence... Sample PDF
What Orders Reality: Relationship, Relatives, and Relations
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Chapter 6
Azamat Abdoullaev
Relationship as a primary constituent of reality setting a mutual order of things in the world commonly involves a large number of the terms or... Sample PDF
What Organizes the World: N-Relational Entities
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Chapter 7
Azamat Abdoullaev
The world or reality is the totality of things diversified into a multitude of collections of subworlds with the characteristic constraints and... Sample PDF
What Determines the World: Causality as the Life-or-Death Relationship
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Chapter 8
Azamat Abdoullaev
Along with substances of all kinds, states of all manner, and changes of all types and exemplifications, relationships of all sorts and instances... Sample PDF
How to Reason about the World: The Common Reasoning Platform
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Chapter 9
Azamat Abdoullaev
How reality or the world with its parts and levels might be truly symbolized and represented by emerging semantic technology and knowledge systems... Sample PDF
How the World is Signified: Real World Semantics, or What Meaning Relation is
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Chapter 10
Azamat Abdoullaev
As far as human knowledge about the world is commonly given in NL expressions and as far as universal ontology is a general science of the world... Sample PDF
How to Represent the World: Ontology-Controlled Natural Languages
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Chapter 11
Azamat Abdoullaev
Of all possible intelligent NL applications and semantic artifacts, a special value is today ascribed to building the question answering systems... Sample PDF
Natural Language Intelligences: The Virtual or Digital Aristotle
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Chapter 12
Azamat Abdoullaev
Like in the human mind marked by rationality, goals, and purposeful actions, knowledge in advanced computer systems and intelligent agents is... Sample PDF
The Knowledge Society Applications: The RRR Language Machines
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Chapter 13
Azamat Abdoullaev
The urgent necessity of a true knowledge society is mainly caused by the fact that the natural unity of world knowledge is badly destroyed by the... Sample PDF
Reality Classification System: A Product Line of the EIS UFO
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About the Author