Chapter 3 (Part 1)

Leon James | Department of Psychology | University of Hawaii | 1975 |
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Master Chart for the 16 Movements in the Dialectics of Ethnosemantics (ES)

(2) The dialectics of ethnosemantics (ES) is represented by a 3-D hexagonal pyramid that has 7 vertices and is constituted of 6 triangular fragments as follows:

The 5 basic dialectic movements are indicated as the progression in 5 steps from levels I (white) to VI (black).

(3) The dialectics of ethnosemantics (ES) is sufficiently characterized by the 15 topic domains identified in the accompanying table 2. The first dialectic movement is represented by the prgression from stage white to stage yellow. It is characterized by the following steps in each of the 16 topic domains.

Thus the first basic dialectic movement is characterized by a progression step from level I to level II in 16 domains:

In this this manner the second third fourth, and fifth movements can be iterated systematically. Note that the 16 topic domains listed are treated as conceptualizations which resolve (through the process of triangular resolution of contention points) each of the 5 pairs of anchor points (white through black) corresponding to the 5 dialectic movements. An illustrative case is that of topic domain in 8 (Ethnosemantic Correspondence) .

Similarly, the 5 movements in the other 15 Topic Domains can be derived by the same iterative process with reference to the accompanying master figure.

(4) The first basic dialectic movement of ES is operationally specified by
the ascension to the Level II conceptualization. This conceptual step-up in
ethnosemantic functioning is characterized the up-grading of the mathematical
system specified by the __l-D, Point__ (l: white) to a mathematical system
specified by the __2-D, Triangle__ (II: Yellow) (9. Geometric
Progression).

The 2-D, Triangle is the ninimal geometric figure or expression. It has 3 vertices and 3 sides; each vertix (corner) has a value specification in 2 independent dimensions along a plane surface (Cartesian Coordinate The 2-D, Triangle is, therefore, the minimal expression of STRUCTURE (Yellow II).

In the topical domain of __Formal__ __Projections__ (4), the shape of a
two-dimensional figure can be taken as the unit of recognition an a visual
projection. Shape can be defined formally by specifying tbe configuration
(White I) of points in a manifod. For instance, the shape of a star is a
configuration of 10 points connected continuously an a plane surface. The
dimensionality __DIMENSION__ , 4. Yellow II) of the star-shaped figure is
expressed geometrically by its connectivity (7. Yellow II). Consider the
differences in connectivity between a star and a pentagon.

The star SHAPE is a CONFIGURATION of 10 points arranged on a plane. It becomes visible when the 10 points are connected continuously to form a two-dimensional bound figure.

The CONNECTIVITY of the star SHAPE or CONFIGURATION is expressed geometrically by the 10 vertices in all possible combinations. Connectivity is a mathematical expression of the order of complexity of the configuration. Thus, the total number of interconnections in this case is 45. Note that the outside area of the fully interconnected star is a pentagon. Note that the inner area (bounded by 2,4,8,10) is a quadrangle. Triangles, pentagons, hexagons (e.g., 2,3,4,8,9,10) can also be seen by inspection. The number of such constitutive fragments, their shape and individual connectivity, have exact mathematical derivations and can be specified for any figure.

Thus by reference to the foregoing discussion, we have the following logical
espressions for the __first basic dialectic movement__:

M1: I--->II | |||||
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Form Structure |
= | Configuration Connectivity |
= | Shape Dimension |
= |

Position Ordering |
= | 1-D, Point 2-D, Triangle |
= | White Yellow |

To Chapter 3 (Part 2): The Cube of Understanding