II.   Divine Systems

The PRIMARY RULES of the ELEMENTAL CONCEPT of AXIOMATICS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. AXIOMATICS is a FOUNDATION CLASS of ELEMENTAL CONCEPTS associated with the study of all principles and rules of definition by which AXIOM are defined, classified and used in valid statements defined by the EIKOS Language System.

2. AXIOMATICS is constructed of thirty-four [34] ELEMENTAL CONCEPTS including: AXIOMATICS, AXIOM, DIMENSION, FUNCTION, SUM, RELATION, SET, LIMIT, SYSTEM, UTILITY, PROOF, SIMPLE HARMONIC AXIOM, SIMPLE DISSONANT AXIOM, SIMPLE DYNAMIC AXIOM, COMPLEX HARMONIC AXIOM, COMPLEX DISSONANT AXIOM, COMPLEX DYNAMIC AXIOM, KINESIS AXIOM, TEKNAS, MEKATICS, KOSMOTICS, GALATICS, STELLATICS, PLANETICS, ERGONICS, BIOTICS, PSYGOS, EKELOS, UNILEX, EKASYS, CIVILA, SYNLEX and CALCULUS.

The PRIMARY RULES of the ELEMENTAL CONCEPT of AXIOM of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. All valid IDEA may be stated as an AXIOM based on one or more valid SYMERIC FORMULA themselves based on assumptions.

2. All valid AXIOM must adhere to the Ucadia Semantic Classification System standard of declaration of an IDEA (a set constructed from two (2) or more DIA) in their formulation and writing.

3. An IDEA is a formal element and declaration of Argument as defined by the Ucadia Classification System and the Ucadia Symbols System.

4. A Valid AXIOM may be defined as a shorthand declaration of a valid IDEA.

5. All VALID AXIOM of AXIOMATICS are constructed of six (6) primary components: DECLARATION, FORMULA, CONDITIONS, INPUT SET, RESULT SET and EXECUTION.

6. All valid DECLARATION must contain a legend of all Symbols and their corresponding meaning that are used in the AXIOM.

7. All valid FORMULA of an AXIOM must contain at least one (1) VALID FORMULA as defined by SYMERICS.

8. All valid CONDITIONS of an AXIOM must either be blank (not applied), or adhere to the standards of TENSOR definition according to the Ucadia Symbols System and EIKOS.

9. An INPUT SET of an AXIOM is the formal definition of the valid UNISET to which the AXIOM shall source valid inputs.

10. An OUTPUT SET of an AXIOM is the formal definition of the valid UNISET to which the AXIOM shall produce results.

11. EXECUTION is the actual application of the AXIOM to use.

12. All AXIOM may themselves be described as a process of INPUTS inserted into a FORMULA to produce an OUTPUT.

The PRIMARY RULES of the ELEMENTAL CONCEPT of UTILITY of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. The utility of an AXIOM is relative to its PURPOSE, FUNCTION, SCOPE and VALIDITY.

2. All AXIOM are VALID AXIOMS where they adhere to the rules of EIKOS in their construction.

3. All AXIOMS may themselves be described as a process of INPUTS inserted into a FUNCTION to produce an OUTPUT.

4. The SCOPE of an AXIOM is its LIMIT to applicability to certain SETS of EIKOS. There are only six (6) types of SCOPE: - ABSOLUTE, UNIVERSAL, LEVEL, OBJECT SET, UNIQUE and Theoretical.

5. An AXIOM that as a FUNCTION balances INPUTS to OUTPUT according to purpose is in harmony (HARMONIC AXIOM).

6. An AXIOM that as a FUNCTION produces less OUTPUT to INPUTS according to purpose is in decay (DISSONANT AXIOM).

7. An AXIOM that as a FUNCTION produces more OUTPUT to INPUTS according to purpose is in growth (DYNAMIC AXIOM).

8 An AXIOM cannot have more than one SCOPE, nor FUNCTION.

The PRIMARY RULES of the ELEMENTAL CONCEPT of TEKNAS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. TEKNAS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to the knowledge of the manipulation of matter and our environment and the models, machines, objects and actions created as a result.

2. All AXIOM of TEKNAS are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

3. All AXIOM of TEKNAS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to TEKNAS.

4. The SHARED SETS of AXIOM for TEKNAS are: KINETICS, ERGONICS, EIKONICS, MEKATICS, KOSMOTICS, GALATICS, STELLATICS, PLANETICS, BIOTICS, HOMOTICS, BIONICS and ROBOTICS.

5.The UNIQUE SET of AXIOM for TEKNAS is MEKATICS. MEKATICS is defined as the formal branch of TEKNAS concerning the construction and use of MACHINES known as MEKA.

6. MEKATICS is divided into six (6) levels: SIMPLE TOOLS, SIMPLE SYSTEMS, COMPLEX MACRO SYSTEMS, COMPLEX MICRO SYSTEMS, POWERED MACRO SYSTEMS and POWERED MICRO SYSTEMS.

The PRIMARY RULES of the ELEMENTAL CONCEPT of KOSMOTICS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. KOSMOTICS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to super large bodied OBJECTS (clusters of GALAXIES), balance, functions and the behaviour of the UNIVERSE.

2. All AXIOM of KOSMOTICS are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

3. All AXIOM of KOSMOTICS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to KOSMOTICS.

4. The SHARED SETS of AXIOM for KOSMOTICS are: LOGOS, KINETICS and ERGONICS.

5. The UNIQUE SET of AXIOM for KOSMOTICS are GALATICS, STELLATICS, PLANETICS and BIOTICS.

The PRIMARY RULES of the ELEMENTAL CONCEPT of GALATICS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. GALATICS is a UNIQUE SET of KOSMOTICS that represents the Valid SET of AXIOM relating to the study, rules and behaviour of GALAXIES and inter-galatics bodies across the known UNIVERSE.

2. GALATICS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to super large bodied OBJECTS (clusters of GALAXIES), balance, functions and the behaviour of the UNIVERSE.

3. All AXIOM of GALATICS are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

4. All AXIOM of GALATICS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to TEKNAS.

5. The SHARED SETS of AXIOM for GALATICS are: KINETICS, ERGONICS, KOSMOTICS, STELLATICS and PLANETICS.

6. The UNIQUE SET of AXIOM for GALATICS is GALATICS.

The PRIMARY RULES of the ELEMENTAL CONCEPT of STELLATICS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. STELLATICS is a UNIQUE SET of KOSMOTICS that represents the Valid SET of AXIOM relating to the study, rules and behaviour of SOLAR and inter-stellar systems through the known UNIVERSE.

2. KOSMOTICS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to super large bodied OBJECTS (clusters of GALAXIES), balance, functions and the behaviour of the UNIVERSE.

3. All AXIOM of STELLATICS are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

4. All AXIOM of STELLATICS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to TEKNAS.

5. The SHARED SETS of AXIOM for STELLATICS are: KINETICS, ERGONICS, KOSMOTICS, GALATICS, PLANETICS and BIOTICS.

6. The UNIQUE SET of AXIOM for STELLATICS is STELLATICS.

The PRIMARY RULES of the ELEMENTAL CONCEPT of PLANETICS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. PLANETICS is a UNIQUE SET of KOSMOTICS that represents the Valid SET of AXIOM relating to the study, rules and behaviour of PLANETS, PLANETARY ATMOSPHERES and PLANETARY SURFACES.

2. KOSMOTICS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to super large bodied OBJECTS (clusters of GALAXIES), balance, functions and the behaviour of the UNIVERSE.

3. All AXIOM of PLANETICS are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

4. All AXIOM of PLANETICS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to PLANETICS.

5. The SHARED SETS of AXIOM for PLANETICS are: KINETICS, ERGONICS, EIKONICS,MEKATICS, KOSMOTICS, GALATICS, STELLATICS, PLANETICS and BIOTICS.

6. The UNIQUE SET of AXIOM for PLANETICS is divided into seven (7) levels: MEKATICS KINESIS, ERGONICS, GEOLEX, ELEMENTS, FUSION and FISSION

7. PLANETARY KINESIS is a class of knowledge within PLANETICS and KINESIS dealing with the motion of planets.

The PRIMARY RULES of the ELEMENTAL CONCEPT of ERGONICS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. ERGONICS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to the calculation, observation, motion and interaction of all ergon objects in fields and bodies.

2. All AXIOM of ERGONICS are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

3. All AXIOM of ERGONICS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to TEKNAS.

4. The SHARED SETS of AXIOM for ERGONICS are: KINETICS, EIKONICS, MEKATICS, KOSMOTICS, GALATICS, STELLATICS, PLANETICS, BIOTICS, PSYGOS, BIONICS and ROBOTICS.

5. The UNIQUE SET of AXIOM for ERGONICS is ERGONICS.

6. ERGONICS is divided into six (6) levels: SIMPLE TOOLS, SIMPLE SYSTEMS, COMPLEX MACRO SYSTEMS, COMPLEX MICRO SYSTEMS, POWERED MACRO SYSTEMS and POWERED MICRO SYSTEMS.

The PRIMARY RULES of the ELEMENTAL CONCEPT of BIOTICS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. BIOTICS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to the study, rules and behaviours of CELLULAR and COMPLEX CELLULAR organisms.

2. All AXIOM of BIOTICS are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

3. All AXIOM of BIOTICS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to BIOTICS.

4. The SHARED SETS of AXIOM for BIOTICS are: KINETICS, ERGONICS, MEKATICS, STELLATICS, PLANETICS, BIOTICS, PSYGOS, BIONICS and ROBOTICS.

5. The UNIQUE SET of AXIOM for BIOTICS is BIOTICS.

The PRIMARY RULES of the ELEMENTAL CONCEPT of PSYGOS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. PSYGOS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to the study of the thought processes and behavior of homo sapiens in their interaction with the environment.

2. All AXIOM of PSYGOS are by definition VALID AXIOM of the Ucadia Classification System as well as the EIKOS Language System.

3. All AXIOM of PSYGOS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to PSYGOS.

4. The SHARED SETS of AXIOM for PSYGOS are: KINETICS, ERGONICS, PLANETICS, BIOTICS, TEKNAS, MEKATICS, PSYGOS, BIONICS, ROBOTICS, EKELOS, UNILEX, EKASYS, CIVILA and SYNLEX.

5. The UNIQUE SET of AXIOM for ANIMUS, PSYGOS are PSYGOS, PSY and ANIGOS.

6. PSY is defined as the unique name given to the unique human awareness. PSY refers to the whole SET of AWARENESS of a human being, including all physical and unseen, measurable and un-measurable components. MIND is a sub-set of PSY.

7. ANIGOS is defined as the science or study of the thought processes and behavior of (non-human) animals in their interaction with the environment.

8. ANIMUS is the unique name given to the unique singular SET of collective PSY human awareness (mind). A PSY is always a sub-set of ANIMUS

9. The PSY-ANIMUS PARADOX is the name given to the irresolvable state whereby a unique human PSY (mind) is separate and distinct and yet also part of the collective PSY (mind) that is ANIMUS.

10. PSYGOS is further classifies PSY into ten (10) major SETS of PROPERTIES by which all human mind and awareness (PSY) may be defined including PSYLEX, PSYVIR, PSYSET, PSYSENSE, PSYCOG, PSYVIEW, PSYMEM, PSYSTATE, PSYBIOS and PSYSTAT .

11. PSYLEX are the primary rules of creation as defined for the state of being human. They are rules which form the basis and relationship of all human interaction as they are the primary laws of creation for the universe

12. PSYVIR are the rules and values (positive and negative) recalled by a PSY (mind) in relation to a conscious moment in time PSYSTATE.

13. PSYSET are sets of emotional templates by which input and new memories are formed. All memory is formed with PSYSET which may be positive, negative or mixed. All PSYSET may trigger MEMORY associated with the same emotional template.

The PRIMARY RULES of the ELEMENTAL CONCEPT of BIONICS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. BIONICS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to the study, knowledge, rules and construction of synthetic enhancements and replacements for biological use.

2. All AXIOM of BIONICS are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

3. All AXIOM of BIONICS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to BIONICS.

4. The SHARED SETS of AXIOM for BIONICS are: KINETICS, ERGONICS, PLANETICS, BIOTICS, TEKNAS, MEKATICS, PSYGOS, BIONICS, ROBOTICS, EKELOS, UNILEX, EKASYS, CIVILA and SYNLEX.

5. The UNIQUE SET of AXIOM for BIONICS is BIONICS.

The PRIMARY RULES of the ELEMENTAL CONCEPT of EKELOS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. EKELOS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to the study of definitions, objects, relationships, patterns and rules of human interaction in the creation, distribution and accumulation of resources.

2. All AXIOM of EKELOS are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

3. All AXIOM of EKELOS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to EKELOS.

4. The SHARED SETS of AXIOM for EKELOS are: KINETICS, ERGONICS, PLANETICS, BIOTICS, TEKNAS, MEKATICS, PSYGOS, BIONICS, ROBOTICS, EKELOS, UNILEX, EKASYS, CIVILA and SYNLEX.

5. The UNIQUE SET of AXIOM for EKELOS is EKELOS. EKELOS is further divided into six (6) branches: GLOBAL, REGIONAL, NATIONAL, CORPORATE, COMMUNITY and HOUSEHOLD.

6. EKELOS is based on the condition that scarcity of means only exists in terms of AWARENESS and AXIOM and that only RESULT based on positive PSYGOS PSYVIR principles are valid.

The PRIMARY RULES of the ELEMENTAL CONCEPT of UNILEX of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. UNILEX is a sub branch of the Eikos Language System that represents the Valid SET of laws recognising the equality of all people, the rights of society, the balance of social needs and the advanced complexities of modern society.

2. All AXIOM of UNILEX are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

3. All AXIOM of UNILEX are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to UNILEX.

4. The SHARED SETS of AXIOM for UNILEX are: KINETICS, ERGONICS, PLANETICS, BIOTICS, TEKNAS, MEKATICS, PSYGOS, BIONICS, ROBOTICS, EKELOS, UNILEX, EKASYS, CIVILA and SYNLEX.

5. The UNIQUE SET of AXIOM for UNILEX is UNILEX. UNILEX is further defined into eleven (11) sub branches including CONSTITUTION, CIVIL, CRIMINAL, JUDICIAL, MILITARY, POLICE, CORPORATE, FINANCE, TRADE, PRISON and HEALTH.

The PRIMARY RULES of the ELEMENTAL CONCEPT of EKASYS of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. EKASYS is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to the knowledge, methods and systems for the classification, development, storage and use of knowledge and knowledge systems by an entity.

2. All AXIOM of EKASYS are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

3. All AXIOM of EKASYS are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to EKASYS.

4. The SHARED SETS of AXIOM for EKASYS are: KINETICS, ERGONICS, PLANETICS, BIOTICS, TEKNAS, MEKATICS, PSYGOS, BIONICS, ROBOTICS, EKELOS, UNILEX, EKASYS, CIVILA and SYNLEX.

5. The UNIQUE SET of AXIOM for EKASYS is EKASYS. EKASYS is further defined into thirteen (13) sub branches including: CLASSIFICATION, DESIGN, OBJECT, TEMPLATE, NEURAL, RELATION, FUNCTION, INPUT, OUTPUT, SYSTEMS, NETWORK, APPLICATION and AGENT.

6. All possible theoretical and real world OBJECTS and FUNCTIONS of any ENTITY may be defined by the EKASYS n-Dimensional Knowledge System.

7. Any entity, no matter how small or complex may be described in terms of a single integrated data architecture consistent with the EKASYS n-Dimensional Knowledge System.

The PRIMARY RULES of the ELEMENTAL CONCEPT of CIVILA of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. CIVILA is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to the study of definitions, objects, relationships, patterns and rules of human interaction in the creation and function of all types of human settlement.

2. All AXIOM of CIVILA are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

3. All AXIOM of CIVILA are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to TEKNAS.

4. The SHARED SETS of AXIOM for CIVILA are: UCALEX, KINETICS, ERGONICS, EIKONICS, MEKATICS, KOSMOTICS, GALATICS, STELLATICS, PLANETICS, BIOTICS, PSYGOS, BIONICS and ROBOTICS.

5. The UNIQUE SET of AXIOM for CIVILA is CIVILA. CIVILA is then divided into several sub branches including CITI, CITIVIR, CITILEX, CITIPLAN, CITIDESIGN and CITISYS.

6. CITI is defined as the primary OBJECT representing a SET of OBJECTS and SYMERIC FORMULA by which a geographic area may be defined as a single FUNCTION equating to a city.

7. The prime CITI OBJECT TYPES (CITIDA) by which all human settlement may be defined are SPACE, STRUCTURE, RESIDENT, CITIZEN, BUILDING, RESIDENCE, CENTRE, AREA, PRECINCT, REGION, STATE and NATION.

The PRIMARY RULES of the ELEMENTAL CONCEPT of SYNLEX of the AXIOMATICS FOUNDATION CLASS of the EIKOS Language System are:

1. SYNLEX is a sub branch of the Eikos Language System that represents the Valid SET of AXIOM relating to the knowledge and application of TEKNAS in a CIVILA environment.

2. All AXIOM of SYNLEX are by definition VALID AXIOM of the Ucadia Classification System as well as the Eikos Language System.

3. All AXIOM of SYNLEX are classified into Key Classes according to SHARED SETS and UNIQUE SETS of AXIOM. SHARED SETS of AXIOM are those axiom which also relate to another branch of Eikos. UNIQUE SETS of AXIOM are unique to TEKNAS.

4. The SHARED SETS of AXIOM for SYNLEX are: UCALEX, KINETICS, ERGONICS, EIKONICS, MEKATICS, KOSMOTICS, GALATICS, STELLATICS, PLANETICS, BIOTICS, PSYGOS, BIONICS and ROBOTICS.

5. The UNIQUE SET of AXIOM for SYNLEX is SYNLEX.