Principles of
Dimensional
Thinking
The Logic of Physical Ideas
Theory and Applications
by Tony Giovia
Copyright © 2006-2008 Tony Giovia
All rights reserved
WORK IN PROGRESS
Principles of The Logic of Physical Ideas Theory and Applications by Tony Giovia Copyright © 2006-2008 Tony Giovia All rights reserved WORK IN PROGRESS |
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The Principles of Dimensional Thinking Part 1 - THEORY 1. A Definition of Definition v1.1 1.1 - A definition determines the outline, magnitude, architecture and/or design of an object, such that any definition is distinct and unique from every other definition. (Definition)
2.1 - A dimension is a particular, uniquely definable element of an object’s outline, magnitude, architecture or design. (Definition) 2.3 - Particular dimensions can be shared among multiple objects. (Construction) 2.4 - An idea is a unique definition of a perceivable dimension. (Construction) 2.5 - A context is a unique collection of ideas. (Definition) 2.6 - A mind is at least a collector and organizer of ideas and contexts. (Definition) 2.7 - Tangible dimensions are dimensions perceivable by the senses and which are ultimately capable of perception and definition by a mind. (Definition) 2.8 - Intangible dimensions are ultimately definable by an idea or context, and capable of collection by a mind. (Definition) 2.9 A valid idea definition must uniquely describe a perceivable dimension. (Definition) 3.1 - A relationship is a framework for communication between two objects or among more than two objects. (Definition) 3.2 - A pathway is a circuit along which communication occurs. (Definition)
3.3 - When a particular dimension is included in the construction an object, that dimension exists in a relationship with other dimensions used in the construction of the object. (Construction)
3.4 - Objects are defined by their dimensions and the relationships among their dimensions. (Construction) 3.5 - Objects can exist in relationships with other objects. (Construction) 3.6 – Objects are composed of dimensions. (Construction) 3.7 – If Object A exists in a relationship with Object B, then the dimensions of Object A exist in a relationship with the dimensions of Object B. (Construction)
3.8 - The alteration of any composing dimension changes an object’s definition. (Construction)
3.9 - The alteration of any relationship between or among an object’s composing dimensions changes an object’s definition. (Construction)
3.10 - All modes of communication exist in this Universe and therefore all modes of communication are composed of energy. 3.11 - Influence is a communication of energy between two objects or among more than two objects. (Definition) 3.12 - For any entity to influence another entity, it must exist in a relationship with it. Construction)
3.13 - For any idea to influence another idea, it must exist in a relationship with it. (Construction)
3.14 - For any entity to influence an idea, it must exist in a relationship with it. For any idea to influence an entity, it must exist in a relationship with it. (Construction)
3.15 - Perception is any relationship between or among objects. (Definition) 4. Existence and Perception v1.0 4.1 – Perception is any relationship between (1) the physical senses and/or (2) a mind and/or 3) any object. (Definition) 4.2 - Perception is a dimension of relationships. (Construction) 4.3 - Perception exists in this Universe. (Construction) 4.4 - Perception is composed of energy. (Construction) 4.5 - Perception is an object. (Construction) 4.6 - An object perceivable by the physical senses and/or by a mind must necessarily exist. (Definition) 4.7 - A dimension is a particular, uniquely definable element of an object’s outline, magnitude, architecture or design. (Definition)
4.10 - An object not perceivable by a particular set of physical senses and/or a particular mind does not exist for those particular senses and/or that particular mind. (Construction)
4.11 - Existence is a dimension. (Construction) 4.12 - Existence is an object. (Construction) 4.13 - Perception is a dimension. (Construction) 4.14 - An entity is a particular object with the dimension of existence and at least one more dimension, such as height, depth, width, or mass. (Definition) 4.15 - Matter is an entity or collection of entities with the dimension of existence and at least one more dimension, such as height, depth, width, or mass. (Definition) 4.16 - An idea is a particular object with at least the dimension of existence. (Construction) 4.17 – Entities and ideas are objects that share the dimension of existence. (Construction) 4.18 - Objects that share the dimension of existence must necessarily share the dimension of perception. (Construction)
5.1 - Mass is a measurement of a quantity of matter. (Definition) 5.2 – Mass is a dimension of matter. (Construction)
5.3 - Energy is the object that produces or prevents motion, or has a tendency to do so. (Definition) 5.4 – Objects share the dimensions of existence, energy construction, matter and the constant speed of light. (Construction)
6.1 – Logic and mathematics are objects. (Construction)
6.2 - In a logical and mathematical Universe, all relationships are logical and mathematical. (Construction) 6.3 - Objects share the dimensions of existence, energy construction, matter and the constant speed of light. (Construction) 6.3 - Shared dimensions are the embodiment of logic and mathematics. (Definition) 6.4 - Logic and Mathematics embody the innate structure of the Universe. (Construction)
7.1 - Matter exists in a relationship with one or more dimensions such as height, width, depth or mass. (Definition) 7.2 - Matter is a perceivable object such that some or all of its dimensions can be touched, smelled, heard, seen or measured. (Definition) 7.3 - Objects whose dimensions can be touched, smelled, heard, seen or measured are physical objects. (Definition) 7.4 - Matter is a physical object. (Constructon) 7.5 – An Entity is a perceivable physical object with dimensions that can be touched, smelled, heard, seen or measured. (Definition) 7.6 – Entities exist in a relationship with matter. (Construction) 7.7 - Entities have a physical existence because they are composed of one or more dimensions such as height, width, depth or mass. (Construction) 7.8 - Ideas are composed of energy. (Construction) 7.9 - Energy is a perceivable object such that some or all of its dimensions can be touched, smelled, heard, seen or measured. (Definition) 7.10 - Ideas are perceivable objects. (Construction) 7.11 - Perceivable objects must necessarily exist. (Definition) 7.12 - Ideas are physical objects. (Construction)
8.1 - Height, width, depth, volume and mass are dimensions that can be measured. (Definition) 8.2 - Measurable dimensions exist in a relationship with physical objects. (Construction) 8.3 - Measurable dimensions such as lengths and volumes depend on spatial distances or spatial densities relative to other spatial distances and spatial densities. (Construction) 8.4 - Physical objects are definable in all or in part by their measurable dimensions. (Construction) 8.5 - Measurable dimensions imply a physical shape. (Construction) 8.6 - Physical shapes imply a geometric outline. (Construction) 8.7 - Ideas are physical objects. 8.8 - Physical ideas assume a geometric outline. (Construction) 9.1 - A context is equally an idea, or a collection of ideas. (Definition) 9.2 - Contexts assume a geometric outline. (Construction) 9.3 - Any dimension of an Idea is an object, therefore any dimension of a context is an object. (Construction) 10.1 - A context is equally an Idea, or a collection of Ideas. 10.2 - Ideas are composed of dimensions. 10.3 - Contexts are composed of dimensions. (Construction) 10.4 - A contextual filter is a logical or mathematical law that associates or disassociates dimensions from each other. By so doing, contextual filters associate particular dimensions to contexts, and disassociate particular dimensions from contexts. (Definition) 10.5 - A Base Geometric Outline (BGO) is a self-consistent logical island of ideas. (Definition) 10.6 - A Point of View (POV) Context is one or more Base Geometric Outlines logically connected and used as the primary contextual filter for other ideas. (Definition) 10.7 - Any Base Geometric Outlines composing a POV Context may itself be a POV Context when associated with a different pool of perceivable contexts. (Construction) 10.8 - Point of View Contexts are either objective (scientific) or personal. (Definition)
10.9 - Objective Base Geometric Outlines (OBGO) and Personal Base Geometric Outlines (PBGO) are logical or mathematical groupings of GOs. (Definition) 10.10 - Objective Points of View (OPOV) create Objective Base Geometric Outlines (OBGO). 10.11 - Personal Points of View (PPOV) create Personal Base Geometric Outlines (PBGO). 11.1 – A rule is a logical or mathematical law that embodies a relationship between or among particular dimensions in any pool of perceivable dimensions. (Definition)
11.2 – Organized objects are objects that exist in logical or mathematical relationships with each other. (Definition) 11.3 - The Ideas composing a context are organized by a rule. (Construction) 11.4 - Ideas are logically organized when they are physically grouped by a physical rule. (Construction) 11.5 - Every rule defines a context. (Construction) 11.6 – Different rules can be logically or mathematically combined via shared dimensions. to form complex contexts. (Construction) 11.7 - A complex context is the logical or mathematical combination of two or more rules. (Definition) 11.8 - A level can be one context organized by one predominant rule. (Definition) 11.9 – A level can be multiple contexts related to each other by a more inclusive, encompassing rule. (Definition) 11.10 - Each context in a complex context is a level of the complex context. (Construction) 12. Truth, Dominant Rules and Recessive Rules v2.0 12.1 - A context is said to be completely truthful when its composing dimensions are exactly defined and completely consistent with the rule or rules used to build the context. (Definition) 12.2 - A context is said to be completely truthful when it is reproducible using exactly defined dimensions operated on in the same way by exactly the same rules. (Definition) 12.3 - If all the dimensions composing a context are not completely consistent with the rule or rules governing the context, but some are consistent while others are not, then that context is partially true and partially false. (Definition) 12.4 - If each dimension composing a context is not uniquely and exactly defined, then the context is partially true and partially false. (Definition) 12.5 - POV contexts are filters used to associate and disassociate dimensions. (Construction) 12.6 – Every complex context has a Dominant Rule (DR) context that associates and disassociates contexts to the complex context. (Definition)
12.7 - The Dominant Rule of a truthful context must include all the dimensions in the perceivable pool of dimensions consistent with the logical or mathematical law of the rule. (Definition) 12.8 – Recessive Rules are contexts in a complex context other than the Dominant Rule. (Definition)
12.9 - A Paradox is a context with two contradictory Dominant Rules. (Definition) 12.10 - A Dilemma is a context with two or more contradictory Recessive Rules. (Definition) 12.11 - A First Level dimension is a dimension physically shared by a rule, Dominant and/or Recessive, and a dimension in the perceivable pool of dimensions. (Definition) 12.13 – An incomplete idea structure is a partially true and partially false context. (Definition) 13. A New Definition of Physical Existence v2.0 13.1 - A mathematical point has no dimensions. (Definition)
13.2 - A mathematical line has one dimension. A line has the dimension of length, but no width or depth. (Definition) 13.3 - A mathematical plane has two dimensions. A plane has length and width, but no depth. (Definition) 13.4 – The definition of points, lines and planes are perceivable by a mind. (Construction) 13.5 - Objects perceivable by a mind are mental objects. (Definition) 13.6 – Definitions are contexts. (Construction) 13.7 – Contexts are objects. (Construction) 13.8 - Perceivable objects exist. (Definition) 13.9 - Objects that exist are composed of energy. (Construction) 13.10 - Energy exists in a relationship with matter. (Construction) 13.11 - Points, lines and planes are mental objects that exist in a relationship with matter. (Construction) 13.12 - Mental objects are Ideas. (Definition) 13.13 - Points, lines and planes are Ideas with a mathematical, logical and physical existence. (Definition) 14.1 - A map is a mental object. (Definition) 14.2 - A territory is at least a three-dimensional object. (Definition) 14.3 - A map defines a territory or another map. (Definition) 14.4 – A map is a context. (Construction) 14.5 - When a map defines another map, it is equivalent to a rule defining a level. (Definition) 14.6 - When a map defines a three-dimensional object, it is equivalent to a rule defining a territory. (Definition) 14.7 - The definition of “Nothingness” is a territory with no dimensions. (Definition) 14.8 - The context “Nothingness” exists as a map, but does not define a three-dimensional territory. (Construction)
14.9 - Maps and territories exist in a relationship with each other, but they are not dimensionally equivalent. 14.10 - Maps and territories exist in a relationship with each other, but intervening levels may be required to complete the relationship. 15.1 - A relationship is a framework for communication between two objects or among more than two objects. (Definition) 15.2 - All modes of communication exist in this Universe and therefore all modes of communication are composed of energy. (Construction) 15.3 - Influence is a communication of energy between two objects or among more than two objects. (Definition) 15.4 - Entities in a relationship influence each other. (Construction)
15.5 - Contexts are composed of energy. (Construction) 15.6 - Influence can express itself as a transfer of contexts. (Construction) 15.7 - Power is the capacity for and measure of energy transfer. (Definition) 15.8 - The object with greater influence in a relationship has a position of greater power in that relationship. (Definition) 15.9 - A pathway is a circuit along which communication occurs. Pathways within a relationship consist of dimensions shared between or among objects. (Definition) 15.10 - Entities with different Points of View share fewer dimensions than entities with identical or similar Points of View. (Construction)
15.11 - Entities with different Points of View influence each other less than entities with identical or similar Points of View. (Construction) 16. The Rules of Power Relationships v2.0 16.1 - Contexts can be constructed of one dimension, or they can be constructed of more than one dimension. (Definition) 16.2 - When a context is constructed of one dimension, it is defined by that dimension. (Definition) 16.3 - When a context is constructed of more than one dimension, all the dimensions used in its construction are related by a rule. That rule is a context defined by its dimensions. (Definition) 16.5 – Contexts can break existing relationships with other contexts by disassociating themselves from the dimensions shared with the other contexts. (Construction)
16.6 - When a new shared dimension is added to a context, the original rule that related the original dimensions undergoes a change in definition to include the additional dimension. (Definition) 16.7- Addition is a rule that combines two or more contexts by introducing a shared dimension to the pool of available dimensions. (Definition) 16.9 - Subtraction is a rule that disassociates a shared dimension from a context, creating a new unique definition of that context. (Definition) 16.10 - Division is a rule that disassociates multiple identical shared dimensions from a context, creating a new unique definition of that context. (Definition) 16.13- Identity Rule: For any uniquely defined context A, A = A (Definition) 16.14 – Inequality Rule: A ≠ B (Definition) 17. Contextual Relationships v2.0 17.1 – Rules are logical or mathematical processes that identify relationships between or among particular dimensions in any pool of perceivable dimensions. (Definition) 17.2 - Geometric Outlines are composed of dimensions related by a Dominant Rule. (Construction) 17.3 - Contexts are Geometric Outlines composed of dimensions related by a rule. (Construction) 17.4 – The Dominant Rule of a context is its Point of View. (Definition) 17.5 – Complex contexts are composed of one Dominant Rule, also known as a Point of View, and one or more Recessive Rules. (Definition)
17.6 - Contexts are necessarily unique in any pool of dimensions because the Dominant Rule organizing the context’s dimensions is unique to any particular pool of dimensions. (Definition)
17.7 – Complex contexts are composed of a Dominant Rule and one or more Recessive Rules. (Definition)
17.8 – Recessive Rules are not unique to any particular context. (Definition) 17.9 - Complex contexts with different Dominant Rules may have identical RRs in their structure. (Construction) 17.10 - Recessive Rules in one context may be Dominant Rules in other contexts. (Construction) 17.11 – A First Level relationship is formed when one or more contexts with different Dominant Rules form relationships by directly sharing one or more dimensions. (Definition) 17.12 – Contexts in relationships with other contexts form complex contexts. (Definition) 17.13 – From the Point of View of context “A”, the Dominant Rule of “A” remains unchanged in the formation of complex contexts. (Definition) 17.14 - From the Point of View of context “A”, the Dominant Rules of other contexts in a complex context become Recessive Rules for “A”. (Construction) 17.15 – Second, Third, and Fourth Level relationships are formed between the Dominant Rule and Recessive Rules in complex contexts when dimensions within Recessive Rules (and not shared with the Dominant Rule) form First Level relationships. (Definition) 17.16 - In the case of Second, Third and Fourth Level relationships, the DR indirectly shares the First Level relationships between RRs via the DR’s directly shared dimensions with the RRs. (Construction) 17.17 - Analogy is a logical process whose basic mechanism is used in different degrees by all forms of comparing and contrasting contexts. (Definition)
17.18 - Paradoxes and Dilemmas are complex contexts with conflicting Recessive Rules in their structure. 18. Feelings, Thinking and the Self Image v2.0 18.1 - The Dominant Rule of a Self Context (SC) is “All My Beliefs Are Right”. (Definition) 18.2 - The Self Context (SC) is the sum of interactions between a Dominant Rule “All My Beliefs Are Right” and all the Recessive Rules composing the SC. (Definition) 18.3 - The Self Context defines an Identity Point of View (IPOV). (Definition) 18.4 - A Rule is a Point of View. (Construction) 18.5 - Power is the capacity for, and measure of, energy transfer. (Definition) 18.6 - Feelings are the relationships between an Identity Point of View and its Recessive Rules. (Definition) 18.7 – Feelings are relative states of power as viewed from the Identity Point Of View. (Definition) 18.8 – Thinking is the comparing and contrasting of Recessive Rules relative to the Identity Point of View. (Definition) 18.9 - Ideal love is the equal influence of perceivable energy, in both measure and kind, between and among objects. (Definition) 18.10 - War is an unequal influence of perceivable energy, in both measure and kind, between or among objects. (Definition)
Part 2 - FIRST LEVEL APPLICATIONS 19. The Physical Mechanics of Logic and Mathematics v1.0 19.1 – An “object” is any unique entity or any unique Idea. 19.2 – Perceivable objects must necessarily exist.
19.3 – The Big Bang theory postulates a Universe composed solely of energy. 19.4 – Objects that exist in the Universe are composed solely of energy.
19.5 – An object is said to be in a relationship with another object when one or more of its composing dimensions is identical to one or more dimensions composing a second object. (Definition) 19.6 - An object is said to be in a relationship with another object when one or more of its composing dimensions is logically related to one or more dimensions composing a second object. (Definition) 19.7 - An object is said to “obey” a logical or mathematical law when one or more of its composing dimensions is identical to the composing dimensions of a logical or mathematical rule. (Definition) 19.8 – Via E=MCC, entities exist in a relationship with energy, mass and the constant speed of light. 19.9 – Objects can be viewed as energy, mass or the constant speed of light, depending on the Point Of View used. 19.10 – Mass is a measurement of a quantity of matter. 19.11 - A dimension is a particular element of an object’s outline, magnitude, architecture or design.
19.12 – Dimensions in a definition are related by a logical or mathematical rule.
19.13 - Matter exists in a relationship with one or more dimensions such as height, width, depth or mass. 19.14 – Objects have a physical existence when they exist in a relationship with one or more dimensions of height, width, depth and mass.
19.15 – Energy, in all its forms, can be defined with logical and mathematical laws.
19.16 - Definitions and relationships, composed solely of energy, must necessarily also exist in a physical form.
20. First Level GO Mechanics v1.0 20.1 - Geometric Outlines (GOs) 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 GOs. 20.3 - A First Level contextual relationship is created between two Geometric Outlines when one or more dimensions in the construction of one GO exist identically in the construction of another GO. (Definition)
20.4 The contexts joined in a First Level relationship are an identity if all perceivable dimensions of their composing GOs 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 Outlines (OBGO) and Personal Base Geometric Outlines (PBGO) are logical groupings of GOs. 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) 20.11- 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)
21. The Relative Framework of the Dimensional Nexus v1.0 21.1 - An Idea is a perceivable object, composed of energy, and therefore capable of being viewed as energy, mass, matter and speed, or any combination or proportions of energy, mass, matter and speed.
21.2 – A dimension is a perceivable object, composed of energy, and therefore capable of being viewed as energy, mass, matter and speed, or any combination or proportions of energy, mass, matter and speed.
21.3 – Contexts and Rules are composed of Ideas and Dimensions
21.4 - A law is a logical or mathematical rule. A rule defines a context, therefore a law is a context.
21.5 – Complex contexts consist of two or more contexts organized by different rules.
21.6 – A Geometric Outline defines a unique Idea. Put another way, a Geometric Outline defines a unique dimension.
21.7 - Any particular dimension is an Idea, a Geometric Outline, a rule, a context, a law, a definition, a Base Geometric Outline and a Point Of View. Its function in a context depends on the context in which it is viewed. (Definition) 22. Logic and Mathematics Are Pathways In The Dimensional Nexus v1.0 22.1 - The Dimensional Nexus is the sum total of dimensions and relationships in the Universe. 22.2 - The Dimensional Nexus is composed of energy. 22.3 - Energy obeys logical and mathematical laws. 22.4 - An object is said to “obey” a logical or mathematical law when one or more of its composing dimensions is identical to the composing dimensions of a logical or mathematical rule. 22.5 - Objects that obey a logical or mathematical law exist in a relationship with that law via their shared dimension. 22.6 - Shared dimensions are pathways between objects and the laws they obey. 22.7 – Logic and mathematics are pathways in the Dimensional Nexus. 23. Multiple Level GO Mechanics v1.0 23.1 - A First Level contextual relationship is formed between two Geometric Outlines when one or more dimensions in the construction of one GO exist identically in the construction of another GO.
23.2 – A rule is a unique logical or mathematical structure of dimensions.
23.3 - An Idea is a perceivable object, composed of energy, and therefore capable of being viewed as energy, mass, matter and speed, or any combination or proportions of energy, mass, matter and speed.
23.4 – A context is a logical or mathematical organization of Ideas.
23.5 - A law is a logical or mathematical rule.
23.6 - A rule is a self consistent logical island of Ideas.
23.7 - 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.
23.8 - A Second Level contextual relationship is created between two Base Geometric Outlines when at least one dimension of each BGO is related by a rule independent of the rules organizing the first two Base Geometric Outlines; that is, by a single mathematical or logical rule separate and different from the logical and mathematical rules organizing the first two Base Geometric Outlines. The Second Level related dimensions are never identical to the shared dimension or dimensions creating the First Level contextual relationship.
23.9 - A Third Level contextual relationship is created among the Dominant Rule and two Recessive Rules of a complex context when dimensions within Recessive Rules (and not within the Dominant Rule) form one or more First Level relationships. In these cases the DR indirectly shares dimensions with both the RRs via its directly shared dimension(s) with one or both of the RRs. 23.10 - Individual GOs in a container object must share one identified dimension with all the other GOs in the container, but they may also share additional dimensions with one or more other GOs in the container.
23.11 – Logic and Mathematics associate dimensions by assembling physical dimensions into physical form factors. 23.12 – Logic and Mathematics are the basis of both “hard” sciences like Physics and Chemistry, and also of “soft” sciences like Sociology and Psychology.
24. The Mechanics of Perception v1.0 24.1 - A complex context is a set of dimensions organized by a Dominant Rule and one or more Recessive Rules. 24.2 – The structure of a complex context can be changed by the addition of subtraction of new dimensions. 24.3 – New dimensions are sourced from the physical senses, and from the nexus of dimensions both directly related and indirectly related to the existing dimensions in a complex context. 24.4 – The flow of new dimensions through Dominant and Recessive Rules are the mechanics of perception.
24.5 - Contextual constructions are the logical and mathematical machines of understanding and meaning. 24.6 – New dimensions entering a context are equivalent to energy flowing into a context. 25. Shared Dimensions Define the Physical Structure of Logic and Mathematics v1.0 25.1 – A context is composed of logically or mathematically related GOs. a) The mechanical processes of logical operations and the mechanical processes of mathematical operations are indistinguishable from each other. Any logical operation can be executed and described mathematically, and vice versa. 25.2 - GOs are entirely composed of dimensions. Dimensions are composed of energy. GOs are therefore entirely composed of energy.
25.3 – A relationship is a framework for communication between two objects or among more than two objects.
25.4 - A dimension can be viewed as a Base Geometric Outline, a logical island of Ideas.
25.5 - Communication requires 1) a physical medium that is, or contains, the message, and 2) a physical pathway that directs the medium.
25.6 – Influence is a communication of energy between two objects or among more than two objects.
25.7 - Logical and mathematical laws and processes have a physical structure.
25.8 - Logical and mathematical laws and processes influence physical objects.
25.9 Shared dimensions define the physical structure of logic and mathematics.
25.10 The mechanics of meaning is the flow of energy – the flow of dimensions – across shared dimensions. 26. Recessive Focal Geometric Outlines v1.0 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 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.
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)
27.1– Contexts in relationships with other contexts form complex contexts. 27.2 – Complex contexts are composed of a Dominant Rule and one or more Recessive Rules. Complex contexts with identical DRs and RRs in the same pool of perceivable dimensions are identities. 27.3 – The Dominant Rule, and each Recessive Rule in a complex context, defines a level of the complex context. 27.4 - Contexts are necessarily unique in any pool of dimensions because the Dominant Rule organizing the context’s dimensions is unique to any particular pool of dimensions. 27.5 – Recessive Rules are not unique to any particular context. Complex contexts with different Dominant Rules may have identical RRs in their structure. 27.6 - Recessive Rules in one context may be Dominant Rules in other contexts. 27.7 – The Recessive Rules of a complex context are sub-levels of the Dominant Rule of that context. (Definition) 27.8 - Recessive Rules are recessive relative to the Dominant Rule of a complex context. However, Recessive Rules can be Dominant Rules in other complex contexts. 27.9 - Both Dominant Rules and Recessive Rules are Base Geometric Outlines. Therefore both DRs and RRs are complex contexts in and of themselves.
27.10 - For any complex context, a sublevel of the Dominant Rule is an Axis sub-level (ASL) of that complex context. (Definition)
27.11 - For any complex context, a sub-level of a Recessive Rule is a Tributary sub-level (TSL) of that complex context. (Definition) 28. The Construction of a Complex Context - Terminology Review v1.0 28.1 - Definitions reveal the external physical shape and internal structure of objects. 28.2 - Tools are definitions designed to analyze contexts. 29.1 - The analysis of a complex context requires the identification of its composing objects. 30. The Construction of a Complex Context - An Analysis - Part 1 v1.0 30.1 -The analysis of a complex context reveals the relationships of its composing objects, which is equivalent to revealing the relationships of its composing dimensions. DIMENSIONAL THINKING DEFINES THE LOGICAL AND MATHEMATICAL RELATIONSHIPS BETWEEN IDEAS AND MATTER.
31. The Construction of a Complex Context - An Analysis - Part 2 v1.0 31.1 - Dimensional representations of physical Ideas. 32. The Construction of a Complex Context - An Analysis - Part 3 v1.0 32.1 - Nexus points and pathway managers within a complex context. Part 4 - DIMENSIONAL THINKING AND EXISTING SCIENCE 33. Ideas and Matter - The Key Relationship 33.1 Ideas and Matter 33.2 Physical Logic, Physical Mathematics
Part 5 - CONCLUSIONS 34. Implications of Physical Ideas 34.1 Shared Dimensions and Symbolism 34.4 Artificial Intelligence 34.9 Consciousness
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