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Copyright © 2006-2007 Tony Giovia
26. Recessive Focal Geometric Outlines
26.1 - A complex context is a set of dimensions organized by a Dominant Rule and one or more Recessive Rules.
26.2 A Geometric Outline defines a unique Idea. An Idea is a logical or mathematical construction of one or more dimensions.
26.3 - A filter associates or disassociates dimensions based on the logical or mathematical laws organizing the filter. By so doing, filters associate or disassociate contexts, and associate or disassociate Ideas, and associate or disassociate GOs.
26.4 A Base Geometric Outline (BGO) is a self-contained logical island of ideas.
26.5 Contexts are Base Geometric Outlines composed of dimensions related by a logical or mathematical rule.
a) Any particular GO, and therefore any particular Base Geometric Outline, has a physical form. Any groupings of GOs and BGOs create an inclusive physical object that is itself a GO.
b) Both a context and the GO of that context include the same defining dimensions.
26.6 - A Point of View (POV) Context is one or more Base Geometric Outlines logically connected and used as the primary filter for other Ideas.
26.7 A Dominant Focal Geometric Outline (DFGO) is the BGO within any context to which other GOs in the context refer. Put another way, the DFGO is the core physical structure to which all other GOs in the context physically attach. (Definition)
26.8 A Point of View (POV) is one or more Base Geometric Outlines logically connected and used as the primary filter for other ideas. Like the subject of a sentence, the focal point of the Point Of View is its DFGO.
26.9 - A Dominant Focal Geometric Outline (DFGO) is the BGO within any context to which other GOs in the context refer via a logical, and therefore a physical, attachment. When a context is not the Dominant Rule of a complex context, it is a Recessive Rule of that complex context. The DFGO of any Recessive Rule is a Recessive Focal Geometric Outline (RFGO) relative to the DFGO of any Dominant Rule. (Definition)
a) Any particular BGO can be (and often is) simultaneously both a DFGO and RFGO. A DFGO is always and only a DFGO in a Dominant Rule. A DFGO in a Recessive Rule of a complex context is the DFGO of that Recessive Rule, and simultaneously a RFGO of the complex context.
The previous chapters have defined a multitude of terms – among them Dimensions, Points of View, Geometric Outlines, Physical Ideas, Levels, and Dominant and Recessive Rules. To do meaningful work with contexts we need to introduce additional terms in this chapter and the next that will help us usefully identify different objects within a context.
Every context has a Dominant Focal Geometric Outline, the core GO to which all the other GOs in the context logically and therefore physically attach. Every complex context is composed of two or more contexts – one context is the Dominant Rule, and the other associated contexts are Recessive Rules. We need a way to distinguish between the DFGO of the Dominant Rule and the DFGOs of any associated Recessive Rules. This is easily done by referring to the DFGO of a Recessive Rule as the Recessive Focal Geometric Outline (RFGO). The RFGO is therefore both an RFGO within the complex context and a DFGO within its own context.
To illustrate DFGOs and RFGOs, and associated shared dimensions, consider these three levels of a complex context:
1) Structurally, Perception is the confluence of the senses, a mind and an object.
2) Structurally, Perception is the confluence of the senses and an object.
3) Structurally, the senses are entry ports into a mind.
Line 1 is clearly the Dominant Rule here because it includes all the dimensions of Lines 2 and 3. Here is the DFGO and the RFGOs of these related contexts:
1) Structurally, Perception (Dominant Focal GO) is the confluence of the senses, a mind and an object.
2) Structurally, Perception (Recessive Focal GO relative to Line 1, Dominant Focal GO relative to Line 2) is the confluence of the senses and an object.
3) Structurally, the senses (Dominant Focal GO relative to Line 3) are entry ports into a mind.
Line 3 does not include the dimension Perception in its construction, and therefore it does not include a Recessive Focal GO relative to Line 1. However, Line 3 does contain three dimensions shared with Line 1 – “structurally”, “senses” and “mind”. The added dimension of “entry ports” is now associated – is now part of the physical construction – of the complex context formed by Lines 1, 2 and 3.
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