II.   Divine Systems

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

1. A CONCEPT is any IDEA having a certain UNIQUE FORM of MEANING.

2. The STRENGTH of a CONCEPT is its RELATIONSHIP to other UNIQUE FORM of MEANING.

3. The EIKOS Language System belongs to the Concept Set of the Ucadia Classification System, the Ucadia Semantic Classification System, the Ucadia Standard Model of Universal Elements and the Ucadia Hydro-Helio Model of Atomic Elements.

4. The EIKOS Language System defines 222 CONCEPTS as ELEMENTAL CONCEPTS upon which the entire Language is based.

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

1. A SYMBOL is any graphic OBJECT having SHAPE and UNIQUE MEANING.

2. The STRENGTH of a SYMBOL is its RELATIONSHIP to other UNIQUE FORM of SYMBOLS.

3. The EIKOS Language System uses the Ucadia Symbol System for all language character description and interpretation.

4. Only SYMBOLS belonging to the Ucadia Symbol System are valid for statements constructed in the EIKOS Language System.

5. The Ucadia Symbols System also form part of the EIKOS Language System where the language is used to construct formal statements using the SYMBOLS.

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

1. A SET is a COLLECTION of OBJECTS or CONCEPTS sharing some SIMILAR MEANING.

2. The STRENGTH of a SET is its RELATIONSHIP to other UNIQUE FORM of SETS.

3. The EIKOS Language System uses the Ucadia Classification System for all SET character description and interpretation.

4. Only SETS belonging to the Ucadia Classification System are valid for statements constructed in the EIKOS Language System.

5. The Ucadia Classification System, the Ucadia Standard Model of Universal Elements and the Ucadia Hydro-Helio Model of Atomic Elements also form part of the EIKOS Language System where the language is used to construct formal SETS.

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

1. STRUCTURE is the way in which one or more OBJECTS or CONCEPTS are uniquely related in a SET according to one or more RULES.

2. The STRENGTH of a STRUCTURE is the SYNERGY between the OBJECTS or CONCEPTS which it represents and then its RELATIONSHIP to other UNIQUE FORM of STRUCTURE.

3. EIKOS is constructed from 222 ELEMENTAL CONCEPTS categorized into eight (8) FOUNDATION CLASSES including: EIKOS [8], LOGOS [26],NUMERICS [18], UNISET [16], GEOLEX [46], SYMERICS [28], AXIOMATICS [32] and KINESIS [50].

4. The EIKOS Language System then forms part of the greater STRUCTURE of the Ucadia Standard Model of Universal Elements, the Ucadia Hydro-Helio Model of Atomic Elements, the Ucadia Semantic Classification System and the Ucadia Classification System.

5. The primary STRUCTURE of the EIKOS Language System being the 222 ELEMENTAL CONCEPTS may not be changed. However, an individual RULE may be added to the class of rules of a CONCEPT providing it does not contradict an existing RULE.

6. The EIKOS Language System permits the amending of an existing RULE of an ELEMENTAL CONCEPT where it can be shown a superior definition can be applied and that the amended RULE does not contradict an existing uncontested RULE.

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

1. A RELATIONSHIP is any association between one or more OBJECTS or CONCEPTS which may be defined by some UNIQUE MEANING.

2. All OBJECTS and CONCEPTS in the UNIVERSE have more than one (1) RELATIONSHIP. All RELATIONSHIPS may be categorized by some STRUCTURE.

3. The STRENGTH of a RELATIONSHIP is the SYNERGY between the OBJECTS or CONCEPTS which it represents and their RELATIONSHIPS to other UNIQUE FORM of STRUCTURE.

4. EIKOS is constructed from 222 ELEMENTAL CONCEPTS categorized into eight (8) FOUNDATION CLASSES including: EIKOS [8], LOGOS [26],NUMERICS [18], UNISET [16], GEOLEX [46], SYMERICS [28], AXIOMATICS [32] and KINESIS [50].

5. The EIKOS Language System then forms part of the greater RELATIONSHIP of the Ucadia Standard Model of Universal Elements, the Ucadia Hydro-Helio Model of Atomic Elements, the Ucadia Semantic Classification System and the Ucadia Classification System.

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

1. A RULE is any STATEMENT applying to a RELATIONSHIP between OBJECTS or CONCEPTS having UNIQUE MEANING which can be independently OBSERVED and REPEATED.

2. All OBJECTS and CONCEPTS in the UNIVERSE exist according to more than one (1) RULE. All RULES by which OBJECTS and CONCEPTS exist may be defined as AXIOM.

3. The EXISTENCE of all MODELS including the UNIVERSE depends upon the existence of RULES.If one essential RULE ceased to apply, EXISTENCE would cease.

4. The STRENGTH of a RULE is the SYNERGY between the OBJECTS or CONCEPTS which it represents and their RELATIONSHIPS to all other RULES without contradiction.

5. EIKOS is constructed from 222 ELEMENTAL CONCEPTS categorized into eight (8) FOUNDATION CLASSES of RULES including: EIKOS [8], LOGOS [26],NUMERICS [18], UNISET [16], GEOLEX [46], SYMERICS [28], AXIOMATICS [32] and KINESIS [50].

6. The EIKOS Language System then forms part of the greater RULES of the Ucadia Standard Model of Universal Elements, the Ucadia Hydro-Helio Model of Atomic Elements, the Ucadia Semantic Classification System and the Ucadia Classification System.

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

1. PROOF of AXIOM is the VALIDATION that an AXIOM satisfies all CONDITIONS for which it is intended to be used according to the rules of the EIKOS Language System, Ucadia Semantic Classification System and the Ucadia Classification System.

2. The first CONDITION of PROOF of AXIOM is EXISTENCE- That the AXIOM exists in a published FORM consistent with the RULES of the EIKOS Language System.

3.The second CONDITION of PROOF of AXIOM is DIMENSION- That the dimension of the AXIOM is defined and consistent with the use of VARIABLES and any special CONDITIONS with the RULES of the EIKOS Language System.

4. The third CONDITION of PROOF of AXIOM is STATEMENT- That the AXIOM declares a formal STATEMENT capable of being tested to produce a RESULT consistent with the RULES of the EIKOS Language System.

5. The fourth CONDITION of PROOF of AXIOM is RESULT- That the AXIOM produces a RESULT when tested that can be documented and reproduced consistent with the RULES of the EIKOS Language System.

6. A VALID AXIOM that satisfies all four (4) CONDITIONS for which it is intended may be said to have been PROVEN if evidence of its TEST can be both produced and then reproduced.

7. A VALID AXIOM which is unable to satisfy all conditions for which it is intended and/or cannot be produced with evidence of its TEST and reproduced is said to be UNPROVEN. This however, does not mean an AXIOM is INVALID - only as yet UNPROVEN.

8. Mathematical proof is not a condition of PROOF of AXIOM according to the rules of the EIKOS Language System. An AXIOM written in the Mathematical Language does not automatically mean it is a VALID AXIOM according to the EIKOS Language System.