Leon James | Department of Psychology | University of Hawaii | 1975 |
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Geometric Parameters and Operations |
Ethnosemantic Parameters and Operations |
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1 Manifold (Space; Universe) |
1 Register (Language; Dialect; Culture) (Society) |

2 Mathematics (Geometry; Algebra; Set Theory Programming) |
2 Ethnosemantics (= the mathematical analysis of discourse and topic) (Discourse Mechanics) |

3 Mathematical System (=the integration of invariants) |
3 Social System (= the assimilation of individuals) |

4 Types of Geometries (Manifolds; Metric and Non-metric; Continuous and Non-continuous) |
4 Types of Topic Mechanism (register modality) |

5 Metric Geometries (Euclidean or Plane Geometry; Non-Euclidean Geometry; Distance Angle; Line; Point; Postulate; Corollary; Axis; Coordinate; Integers; Symbols; Formulae; Theorem) |
5 Standardized Procedures for Referring (Referring to Something; Making a Comment; Implying Something; Asserting; Ignoring) |

6 Learning Mathematics (Parameters; Operations; Structures; Functions; Relationships) |
6 Opening the Gap of Understanding (ESNOSYS; Radicalist Register; Open Cube) |

7 Topology (= the geometry of place) Non-metric Geometries; Arrangements) |
7 Constitutive Exchanges (Transactions; Episodes; Alignments; Claims; Social Behavior; Status; Rank; Role) |

8 Engineering Applications (Drafting; Industrial Production; Space Flight; Mass Communication) |
8 Transactional Engineering (Education; Psychotherapy; Counseling; Social Effectiveness; Spiritual Concerns) |

9 Configuration (= arrangement of points) |
9 Labeled Topical Entities (Concept; Word; Title Code Reference; ID Symbol) |

10 Geometric Figures (= standardized arrangement of points) |
10 Standard Topical Domains (viz. domains are derived topical configurations where the derivation process is specified) |

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11 The commonly known Geometric Figures |
11 Standard Topics (Standard Topical Domains; Standard Labeled Topical Elements) |

12 Surfaces (Bounded Figures; Inside/Outside; Connection; Direction; Location; Reference Coordinates; Enclosing an Area) |
12 Setting Coordinates (Socio-Function; Context; Situation; Recognitions) |

13 Spheres/Solids (Non-Euclidean Geometry; Topology; Curvature; Geodesics; Pseudospheres) |
13 Membership Class (Boundary Markers; Groups; Conventions; Specialized Domains; Category Labels; Relationship Values; Rules; Principles; Attitudes; Beliefs; Ratified Reciprocal Recognitions) |

14 Unlabeled Vertices (Interconnecting Nodes; Crossing of Lines; Intersecting) |
14 Not-understanding |

15 Dimensionality of Space (Connectivity) |
15 Level of Conceptualization (= order of organization of topical domain) ("Richness;" "Sophistication;" "Knowledge") |

16 Operationally Explicated (Formally Derived; Generated; Diagrammatized) |
16 Standardized (= explicated procedures for: the creation of topic; constitutive exchanges; reifications Note: Does not apply to witnessing) |

17 Crossing a Line: Intersecting |
17 Raising the Level of Conceptualization |

18 Traversing a Graph (Combinatorial Analysis; Mathematical Possibility) |
18 The Mechanics of Topics (Topicalization Dynamics; Formal Topical Features) |

19 Bounding Surfaces (Simply Connected Manifolds; Continuous Bound Lines and Curves; Non-simply Connected Manifolds; Weird Topological Manifolds) |
19 The Creation of Topic or Topicalization (Resolution of Contention Points; Discourse Dialectics) |

20 Bisecting Angles |
20 Ethnosemantic Movements |

21 Joining Vertices |
21 Setting Coordinates (--> evoke contention points) |

22 The Method of Triangulation |
22 Dyadic Interaction (--> between conceptualizations) |

23 Labeling Vertices (= identifying the lines of interaction in a field) |
23 Understanding (Practical Understanding; Clarifying; Unifying) |

24 Mathematical Operation (Logic; Form; Function; Parameter; Operation; Relation; Equality; Identity) |
24 Reifying Ethnosemantic Imaginings (Reality; Actuality) |

25 Reconstituting (Un-crossing Intersections; Exhaustive Graphing; Transformations) |
25 Fragmentation (= a subtype of topicalization achieved by horizontal expansion) (Established Topical Domains) |

26 Transformation (= continuous, point-to-point, metric vs. non-continuous, non-metric, topological) |
26 The Reconstruction of a Record (Biographical Record; Social History; Participant; Personal; Individual; Enactment) |

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Back to Chapter 1: ESNOSYS: Ethnosemantic Notation System