Tektōn offers an innovative algebraic model designed for computational psychology, representing personality and cognition as functional elements. By employing specific mathematical operations and rules, this project facilitates the exploration of complex psychological dynamics, allowing for a deeper understanding of how cognitive processes and personality traits interact.
Tektōn is an innovative algebraic model for computational psychology that conceptualizes personality and cognition as functional elements within a structured mathematical framework. This repository encompasses a detailed exploration of the syntax, rules, and operations essential for manipulating these cognitive components effectively.
Project Overview
The Tektōn model uses algebraic rules to represent complex interactions among various dimensions of personality and cognitive processes. This unique approach enables the simulation of intricate psychological dynamics and offers meaningful insights into cognitive processes and personality traits through mathematical notation.
The Algebraic Language of Cognition
The Tektōn system provides a formal structure for expressing cognitive dynamics, adhering to specified syntax and operational rules. The primary components include:
Cognitive Functions & Properties
The following table outlines key cognitive functions, their properties, and characteristics:
| Symbol | Name | Density | Charge | Dimension |
|---|---|---|---|---|
Si | Introverted Sensing | Very Dense | i | S |
Ni | Introverted Intuition | Very Dense | i | N |
Ne | Extraverted Intuition | Dense | e | N |
Fi | Introverted Feeling | Dense | i | F |
Te | Extraverted Thinking | Somewhat Light | e | T |
Fe | Extraverted Feeling | Somewhat Light | e | F |
Ti | Introverted Thinking | Light | i | T |
Se | Extraverted Sensing | Very Light | e | S |
Operators & Syntax
Tektōn employs a set of operators and syntax conventions to manipulate cognitive functions:
- Grouping
( ): Groups terms for isolated operations (e.g.,(Se ~ Ti)). - Combination
+: Combines terms directly. - Coefficients: Indicate mass or acceleration of cognitive functions.
- Right
→and Top~operators: Describe relationships and interactions between functions.
Priority & Transformation Rules
The model includes explicit rules governing the priority of operations and the transformation of expressions, allowing for systematic resolution of cognitive interactions.
Astrological & Elemental Correspondence
Tektōn also maps algebraic expressions to astrological and elemental counterparts, enhancing the understanding of cognitive functions from a different perspective:
| Astrological Placement | Elemental Name | Algebraic Expression |
|---|---|---|
| Aries-Pisces | Explosion | Se ~ Fi |
| Aries-Aries | Lacerate | Se |
| ... | ... | ... |
Usage Examples
The following examples illustrate how to apply the Tektōn model to solve complex cognitive interactions:
Example 1: Solving a Complex Reactor
Reactor = 40(5Se ~ 3Ti) + 9(8Ni → 3Se ) + 10(2Se ~ 2Se oo 3Si)
"..."
Final result after reduction: `59(11Se ~ 3Ti → 9Ni)`
Tektōn serves as a powerful tool for modeling cognition and personality through a scientifically grounded algebraic framework, promoting a deeper understanding of the psychological processes that drive human behavior.
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