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Copyright © 2006-2009 Tony Giovia
20. First Level Geometric Architecture Mechanics v2.5
20.1 - Geometric Architectures (GAs) are contexts constructed of dimensions organized by a rule.
20.2 - Points of View, Dominant Rules and Recessive Rules are all rules capable of organizing dimensions into GAs.
20.3 - A First Level contextual relationship is created between two Geometric Architectures when one or more dimensions in the construction of one GA exist identically in the construction of another GA. (Definition)
a) A GA is a First Level dimension of every uniquely defined entity. A GA adds a dimension of formal structure to every uniquely defined entity.
20.4 The contexts joined in a First Level relationship are an identity if all perceivable dimensions of their composing GAs are identical, indicating all perceivable dimensions are shared. (Definition)20.5 - Point of View Contexts are either objective (scientific) or personal.
20.6 - Objective Base Geometric Architectures (OBGA) and Personal Base Geometric Architectures (PBGA) are logical groupings of GAs.
20.7 - Objective Points of View (OPOV) are entirely dependent on unique definitions that include all dimensions in the perceivable pool of related dimensions. (Definition)
20.8 - Personal Points of View (PPOV) are entirely dependent on unique definitions that do not include all dimensions in the perceivable pool of related dimensions. (Definition)
20.9 - A fact is an object entirely dependent on a unique definition that includes all the dimensions in the perceivable pool of dimensions. Facts are entirely dependent on an Objective Point Of View. (Definition)
20.10 - Objective Truth is an object entirely dependent on a unique definition that includes all the dimensions in the perceivable pool of dimensions. Objective Truth is entirely dependent on an Objective Point Of View. (Definition)20.11- Hints, clues, indications, opinions and guesses are objects entirely dependent on a unique definition that does not include all the dimensions in the perceivable pool of dimensions. Hints, clues, indications, opinions and guesses are entirely dependent on a Personal Point Of View. (Definition)
First Level relationships are simple contexts that identify identical dimensions in the construction of any two Geometric Architectures. GAs are physical objects constructed of perceivable dimensions. In the case of a shared dimension, the same uniquely defined dimension is included in the construction of each GA.Rules organize dimensions into Geometric Architectures. Different rules, even conflicting rules, may and often do contain identical dimensions. The relationships among rules sharing one or more dimensions are governed by a Point Of View, which is always the Dominant Rule of the context.
There are two categories of truth – objective and personal. Truth is a context like any other object. The Dominant Rule of any context is also its Point Of View. All Points Of View fall into one of two categories - objective (OPOV) and personal (PPOV).
Objective Truth is an entity entirely dependent on a unique definition that includes all the dimensions in the perceivable pool of dimensions. Objective Truth is entirely dependent on an Objective POV, and entirely independent of a Personal POV. Hints, clues, indications, opinions and guesses are entities entirely dependent on a Personal Point Of View. Essentially, any Point Of View that does not include all dimensions in the perceivable pool of dimensions is partially true and partially false and is entirely dependent on a PPOV.
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