Q-Axiom:

• State: IF Actual-Being THEN Potential-Becoming
• Mode: IF Potential-Action THEN Actual-Measure

A mode is about the action that modifies a state experience of being. There is an active & passive state and an active & passive mode.

• Active: more experience necessary
• Passive: no more experience necessary

Axiom simply represented as follows:

• State: actual ⇒ potential
• Mode: potential ⇒ actual

Brackets delineate between the ecological unit and the process:

• Individual:[a ⇒ b]
  
• Process:[b] ⇒ [a]
  

SuperSet/SubSet classes are represented in brackets:

• State class: [actual ⊇ potential]
• Mode class: [potential ⊇ actual]

First Order Sets:[Potential{…}(actual{…}) ⊇ Actual{…}(potential{…})]

• State=Subject
• Mode=Predicate

Notice that superset is active & subset is passive i.e., superset has an active predicate & subject while subset has a passive predicate & subject.

The Prime Q is an exemplary Quadranym derived from the Q axiom.

(A Quadranym outlines a topic or context using four dimensions of the axiom.)

Prime Q Dimensions: Expansive, Reductive, Objective, Subjective.

Prime Q First Order Sets:[E(s) ⊇ R(o)]

Active & Passive (Hemispheres):

• Active: mode_E, state_S
• Passive: mode_R, state_O

Actual & Potential (levels):

• Potential: mode_E, state_O
• Actual: mode_R, state_S

Meta-Dimensional Role (M-Roles) Examples:

State Sets:

• Subjective ⊇ Objective
• Actual ⊇ Potential
• Coherent ⊇ Conditional
• Function ⊇ Structure
• Control ⊇ Conform
• Attitude ⊇ Object
• Negative ⊇ Positive

Mode Sets:

• Expansive ⊇ Reductive
• Potential ⊇ Actual
• General ⊇ Particular
• Infinite ⊇ Finite
• Selector ⊇ Critic
• Inclusive ⊇ Exclusive
• Singular ⊇ Multiple

Switched Polarity: Special Mode Set

1. Positive ⊇ Negative
2. Negative ⊇ Positive

(Note: as a mode, Positive ⊇ Negative can change polarities i.e., either one can hold a superset or subset Role. Negative ⊇ Positive mode is called a switched polarity e.g. Positive_Inclusive Superset set can become Negative_Non-Inclusive Superset. Switched polarity is the only time an M-role can flip.)

Basic M-Roles begins with hemispheres.

• [Potential(actual) ⊇ Actual(potential)]
  

Consider the procedure leading up to rock becoming a tool

1. State: subject_actual_rock ⊇ subject_potential_tool
   
2. Mode: Predicate_potential_rock ⊇ Predicate_actual_tool

Scripts are grounded by layers of basic units i.e., Meta-dimensional roles.

Meta-Dimensional Roles, example: Inclusive, Exclusive, Function, Structure. These roles represent basic dynamic relationships between dimensions.

• Flux:[Exclusive(structure)] → [Inclusive(function)] = environmental-ing
  
• Unit:[Inclusive(function) → Exclusive(structure)] = remember-ing

There are many Meta-dimensional Roles in a system. They are the roles that the content roles of a database are attracted to depending on topic.

1. A flux generally refers to a situational context.
2. A  unit generally refers to a dynamical context.

M-Roles present hemispheres e.g., [Mode_E(State_s) | Mode_R(State_o)]

M-Roles form units and units form quadranyms. Quadranyms form frames and frames form scripts. Scripts form layers and layers form polynyms.

M-Roles align with metaphysical notions that all Q systems are fashioned on, such as, part/whole, plurality/unity, being/becoming, time and space.

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Polynyms:

1. mononym
2. bionym
3. trionym
4. tetranym (note: quadranym used to identify Q units)
5. pentanym
6. hexanym
7. septanym
8. octanym
9. nonanym
10. decanym
11. hendecanym
12. dodecanym
13. tridecanym
14. tetradecanym
15. pentadecanym
16. hexadecanym
17. heptadecanym
18. octadecanym
19. enneadecanym
20. icosanym and so on…