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This is a work in progress - all rights reserved.
Copyright © 2006-2009 Tony Giovia
26. Recessive Focal Geometric Architectures v2.0
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 Architecture (GA) defines a unique Idea.
a) 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 GAs.
26.4 - A Base Geometric Architecture (BGA) is a self-contained logical island of ideas.
26.5 - Contexts are Base Geometric Architectures composed of dimensions related by a logical or mathematical rule.
a) Any particular GA, and therefore any particular Base Geometric Architecture, has a physical form. Any groupings of GAs and BGAs create an inclusive physical object that is itself a GA.
b) Both a context and the GA of that context include the same defining dimensions.
26.6 - A Point of View (POV) Context is one or more Base Geometric Architectures logically connected and used as the primary filter for other Ideas.
26.7 - A Dominant Focal Geometric Architecture (DFGA) is the BGA within any context to which other GAs in the context refer. Put another way, the DFGA is the core physical structure to which all other GAs in the context physically attach. (Definition)
26.8 - A Point of View (POV) is one or more Base Geometric Architectures 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 DFGA.
26.9 - A Dominant Focal Geometric Architecture (DFGA) is the BGA within any context to which other GAs 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 DFGA of any Recessive Rule is a Recessive Focal Geometric Architecture (RFGA) relative to the DFGA of any Dominant Rule. (Definition)
a) Any particular BGA can be (and often is) simultaneously both a DFGA and RFGA. A DFGA is always and only a DFGA in a Dominant Rule. A DFGA in a Recessive Rule of a complex context is the DFGA of that Recessive Rule, and simultaneously a RFGA of the complex context.
The previous chapters have defined a multitude of terms – among them Dimensions, Points of View, Geometric Architectures, 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 Architecture, the core GA to which all the other GAs 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 DFGA of the Dominant Rule and the DFGAs of any associated Recessive Rules. This is easily done by referring to the DFGA of a Recessive Rule as the Recessive Focal Geometric Architecture (RFGA). The RFGA is therefore both an RFGA within the complex context and a DFGA within its own context.
To illustrate DFGAs and RFGAs, 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 DFGA and the RFGAs of these related contexts:
1) Structurally, Perception (Dominant Focal GA) is the confluence of the senses, a mind and an object.
2) Structurally, Perception (Recessive Focal GA relative to Line 1, Dominant Focal GA relative to Line 2) is the confluence of the senses and an object.
3) Structurally, the senses (Dominant Focal GA relative to Line 3) are entry ports into a mind.
There are several points to consider here. Most notably, Line 3 does not include the dimension Perception in its construction, and therefore it does not include a Recessive Focal GA 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.
LEVEL 3 (Recessive Rule for LEVEL 1, Dominant Rule for LEVEL 3)1) The Big Bang Theory (Recessive Focal GA) postulates that this Universe was created solely from energy, and is composed solely of energy.
2) Any individual object that exists in this universe must necessarily be composed of energy.3) If an object is perceivable, it must necessarily exist.
4) Ideas are perceivable to a mind, and therefore Ideas must necessarily exist.
5) Ideas must necessarily be composed of energy.
As noted, this is just a list of the major elements - the Dominant Rule/Point Of View, the Dominant Geometric Architecture, and the Recessive Rules. Second and Third Level relationships among the DR and its six Recessive Rules is illustrated by the multiple instances of particular Ideas (GAs) among the levels. We will be looking at these relationships in a following chapter. It is important to visualize these relationships as physical relationships, and the context as a whole as a physical object whose meaning is strictly derived from its physical structure.
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