II.   Small Object Axioms

The axioms within the Class of Natural Law of Properties are:

1. The axiom class of PROPERTIES is derived from the existence of Can.314-(Existence).

2. PROPERTIES are the features of OBJECTS having purpose and repeatable relationship.

3. All things in the UNIVERSE possess PROPERTIES, therefore all MATTER possesses PROPERTIES.

4. The PROPERTIES of UNITA are dependent on the PROPERTIES of EXISTENCE.

5. The PROPERTIES of SUPER SUB ATOMIC ELEMENTS are dependent on the PROPERTIES of UNITA.

6. The PROPERTIES of SUB ATOMIC ELEMENTS are dependent on the PROPERTIES of SUPER SUB ATOMIC ELEMENTS.

7. The PROPERTIES of ATOMIC ELEMENTS are dependent on the PROPERTIES of SUB ATOMIC ELEMENTS.

8. The PROPERTIES of MOLECULAR ELEMENTS are dependent on the PROPERTIES of ATOMIC ELEMENTS.

9. The PROPERTIES of STARS are dependent on the PROPERTIES of ATOMIC ELEMENTS.

10. The PROPERTIES of PLANETS are dependent on the PROPERTIES of MOLECULAR ELEMENTS.

11. The PROPERTIES of CELLULAR LIFE are dependent on the PROPERTIES of PLANETS and the PROPERTIES of MOLECULES.

The axioms within the Class of Natural Law of VARIABLES are:

1. The axiom class of VARIABLES is derived from the existence of Can.314-(Existence), Can.306-(Specialization)

2. All variables may be defined into only one (1) of two (2) TYPE being OBJECT VARIABLES and THEORETICAL VARIABLES.

3. An OBJECT VARIABLE is any VARIABLE that represents a known OBJECT and/or PROPERTY of an OBJECT defined by the Ucadia Symbols System.

4. A THEORETICAL VARIABLE is any VARIABLE that does not represents a known OBJECT and/or PROPERTY of an OBJECT defined by the Ucadia Symbols System.

5. All VARIABLES naturally inherit the rules and restrictions according to its TYPE (OBJECT or THEORETICAL) and particular use.

The axioms within the Class of Natural Law of CONSTANTS are:

1. The axiom class of CONSTANTS is derived from the existence of Can.314-(Existence) AND LAW 06 CODEPENDENCE.

2. All CONSTANTS are ratios.

3. All CONSTANTS are either PERFECT NUMERIC RATIOS or IMPERFECT NUMERIC RATIOS.

4. A CONSTANT that is based on a PERFECT NUMERIC RATIO can only exist in THEORY.

5. A CONSTANT that is an IMPERFECT NUMERIC RATIO is based on the PROPERTIES of REAL OBJECTS.

6. Only GEOMETRIC CONSTANTS are universal, all other constants are relative.