Dimensional Thinking Principles

Principles of
Dimensional
Thinking

The Logic of Physical Ideas

Theory and Applications

by Tony Giovia

WORK IN PROGRESS

The Principles of Dimensional Thinking

Preface

Part 1 - THEORY

1. A Definition of Definition

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)

a) An outline determines the external shape of an object. (Definition)
b) Magnitudes determine the measurable quantities of an object, relative to other magnitudes using the same standard of measurement. (Definition)
c) Architecture determines the construction, internal outlines and/or internal magnitudes of an object. (Definition)
d) A design determines the intended use of an object. (Definition)

2. Dimensions

2.1 - A dimension is a particular, uniquely definable element of an object’s outline, magnitude, architecture or design. (Definition)

2.2 - A dimension or collection of dimensions define an object. (Definition)

2.3 - Particular dimensions can be shared among multiple objects. (Definition)

2.4 - An idea is a unique definition of a perceivable dimension. (Definition)

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.

3. Existence

3.1 – Perception is any relationship between (1) the physical senses and/or (2) a mind and any object. (Definition)

3.2 - An object perceivable by the physical senses and/or by a mind must necessarily exist.

a) Perceivable objects must necessarily exist.
b) A dimension or collection of dimensions define an object.
c) Dimensions defining a perceivable object must necessarily exist.

3.3 - An object not perceivable by a particular set of physical senses and/or a particular mind does not exist for those particular senses and that particular mind.

a) Without existence there is no perception.
b) Perception requires existence for its definition.

3.4 - A dimension is a particular, uniquely definable element of an object’s outline, magnitude, architecture or design.

a) Existence is a dimension. (Definition)

3.5 - 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)

3.6 - 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)

3.7 - An idea is a particular object with at least the dimension of existence. (Definition)

3.8 – Entities and ideas are objects that share the dimension of existence.

4. Relationships

4.1 - A relationship is a framework for communication between two objects or among more than two objects. (Definition)

4.2 - A pathway is a circuit along which communication occurs. Pathways within a relationship consist of dimensions shared, directly or indirectly, between or among objects. (Definition)

4.3 - When a particular dimension is included in the construction of an object, that dimension exists in a relationship with other dimensions used in the construction of that object.

4.4 - Objects are defined by their dimensions and the relationships among their dimensions. (Definition)

4.5 - Objects can exist in relationships with other objects.

4.6 – Objects are composed of dimensions.

4.7 – 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.

a) Objects in a relationship are dimensions of each other. (Definition)

4.8 - The alteration of any composing dimension changes an object’s definition. Therefore, an object exists in a unique relationship with each of its composing dimensions. (Definition)

4.9 - The alteration of any relationship between or among an object’s composing dimensions changes an object’s definition. Therefore, an object exists in a unique relationship with each of its composing relationships. (Definition)

4.10 - All modes of communication exist in this Universe and therefore all modes of communication are composed of energy.

4.11 - Influence is a communication of energy between two objects or among more than two objects. (Definition)

a) For any entity to influence another entity, it must exist in a relationship with it. Therefore entities in a relationship can influence each other.
b) For any idea to influence another idea, it must exist in a relationship with it. Therefore ideas in a relationship can influence each other.
c) 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. Therefore entities and ideas in a relationship can influence each other.

4.12 - Perception is any relationship between or among objects. (Definition)

5. Shared Dimensions

5.1 - Mass is a measurement of a quantity of matter. (Definition)

a) Mass and matter exist, therefore mass and matter are objects.
b) Objects are composed of dimensions.
c) Mass, as a dimension of matter, exists in a relationship with matter.
d) Objects in a relationship are dimensions of each other.

5.2 - Energy is the object that produces or prevents motion, or has a tendency to do so. (Definition)

5.3 – Objects share the dimensions of existence, energy construction, matter and the constant speed of light. (Definition)

a) The Big Bang created a Universe constructed solely of energy;
b) Energy, in all its forms, is the sole substance of the known Universe;
c) Each object that exists must exist in this Universe of energy;
d) Objects existing in this Universe must be constructed of energy;
e) Via E=MCC, energy, matter, and the constant speed of light exist in a relationship with each other;
f) Objects in a relationship must share dimensions directly, or share dimensions indirectly via combinations of relationships. If dimensions are not directly or indirectly shared there is no framework for communication and therefore no relationship;
g) A dimension is a perceivable object. Perceivable objects must necessarily exist.
h) Entities and Ideas are perceivable objects, and must necessarily exist.
i) Via their energy construction, entities exist in a relationship with matter and the constant speed of light;
j) Via their energy construction, ideas exist in a relationship with matter and the constant speed of light;
k) Both entities and ideas exist in a relationship with energy, matter and the constant speed of light;
l) Entities and ideas exist in a relationship with each other via their shared dimensions.

6. Physical Ideas

6.1 - Matter exists in a relationship with one or more dimensions such as height, width, depth or mass.

6.2 - Objects have a physical existence when they exist in a relationship with one or more dimensions of height, width, depth or mass.

6.3 - Ideas exist in a relationship with one or more dimensions of height, width and depth.

6.4 - Ideas are physical objects.

a) Ideas are composed of energy and therefore exist in a relationship with energy;
b) Energy exists in a relationship with mass;
c) Mass exists in a relationship with matter;
d) Ideas exist in a relationship with mass via their relationship with energy;
e) Mass exists in a relationship with matter;
f) Ideas exist in a relationship with matter via their relationship with mass;
g) Matter exists in a relationship with one or more dimensions of height, width, depth and mass;
h) Ideas exist in a relationship with one or more dimensions of height, width, depth and mass;
i) Objects have a physical existence when they exist in a relationship with one or more dimensions of height, width, depth or mass;
j) Matter is a physical object;
k) An Idea is a physical object.

7. Geometric Outlines

7.1 - Height, width, depth, volume and mass are measurable dimensions.

7.2 - Measurable dimensions exist in a relationship with physical objects.

7.3 - Measurable dimensions such as lengths and volumes depend on spatial distances or spatial densities relative to other spatial distances and spatial densities.

7.4 - Physical objects are definable in all or in part by their measurable dimensions.

7.5 - Measurable dimensions imply a physical shape.

7.6 - Physical shapes imply a geometric outline.

7.7 - Ideas are physical objects.

7.8 - Physical ideas assume a geometric outline.

8. Contexts

8.1 - A context is an idea, or a collection of ideas.

8.2 - Contexts assume a geometric outline.

8.3 - Any dimension of an Idea is an object, therefore any dimension of a context is an object.

9. Types of Contexts

9.1 - A filter is a mechanism for associating or disassociating dimensions. By so doing, filters associate or disassociate contexts and Ideas. (Definition)

9.2 - A Base Geometric Outline (BGO) is a self-consistent logical island of ideas. (Definition)

9.3 - A Point of View (POV) Context is one or more Base Geometric Outlines logically connected and used as the primary filter for other ideas. (Definition)

9.4 - Point of View Contexts are either objective or personal.

9.5 - The Ideas and Base Geometric Outlines composing a POV may themselves be POV contexts when associated with a different construction of ideas.

9.6 - Objective Base Geometric Outlines (OBGO) and Personal Base Geometric Outlines (PBGO) are logical groupings of GOs.

9.7 - Objective Points of View (OPOV) and Personal Points of View (PPOV) create OBGOs and PBGOs.

10. Rules and Levels

10.1 – Rules are logical or mathematical processes that identify relationships between or among particular dimensions in any pool of perceivable dimensions. (Definition)

a) Each rule is a unique idea structure defined by a logical or mathematical process. (Definition)

10.2 - The Ideas composing a context are organized by a rule.

10.3 - Ideas are said to be logically organized when they are physically grouped by a physical law.

10.4 - Every rule defines a context. (Definition)

10.5 - Rules can be combined to form complex contexts.

10.6 - Each context in a complex context is a level of the complex context, where a level is defined as one context organized by one rule, or multiple contexts related to each other by a more inclusive, encompassing rule. (Definition)

11. Truth, Dominant Rules and Recessive Rules

11.1 - 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)

11.2 - A context is said to be completely truthful when it is reproducible using exactly defined dimensions operated on in the same way by exactly defined formulas. (Definition)

11.3 - If the dimensions composing a context are not completely consistent with the rule or rules governing the context, then the context is partially true and partially false.

11.4 - If each dimension composing a context is not uniquely and exactly defined, then the context is partially true and partially false.

11.5 - POV contexts are filters used to associate and disassociate dimensions.

11.6 - A context can be composed of multiple rules, with each rule governing one or more levels of the context. However, with few exceptions, every context has a Dominant Rule (DR) that applies to all the dimensions in a context. The Dominant Rule defines the POV of that context. (Definition)

11.7 - Truthful contexts include all the dimensions in the perceivable pool of dimensions. Therefore, the Dominant Rule of all truthful contexts is the mandatory inclusion of all dimensions in the perceivable pool of dimensions into that context.

11.8 - Non-Dominant rules in a context are Recessive Rules (RR). Recessive Rules may be Dominant Rules in other contexts. (Definition)

11.9 - A Dilemma is a context with two contradictory Dominant Rules. (Definition)

11.10 - A Paradox is a context with two or more contradictory Recessive Rules. (Definition)

11.11 - 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)

11.12 - A partially true and partially false context filters out first level dimensions that logically conform to the rules that created the context. This creates an incomplete idea structure.

11.13 – An incomplete idea structure is a partially true and partially false context. (Definition)

12. A New Definition of Physical Existence

12.1 - A mathematical point has no dimensions. A point has no width, length, or depth.

12.2 - A mathematical line has one dimension. A line has the dimension of length, but no width or depth.

12.3 - A mathematical plane has two dimensions. A plane has length and width, but no depth.

12.4 - Points, lines and planes are perceivable by the mind, therefore they are at least mental objects.

12.5 - Perceivable objects exist.

12.6 - Objects that exist are composed of energy.

12.7 - Energy exists in a relationship with matter.

12.8 - Points, lines and planes are mental objects that exist in a relationship with matter.

12.9 - Mental objects are Ideas. (Definition)

12.10 - Points, lines and planes are Ideas with a mathematical, logical and physical existence. (Definition)

13. Maps and Territories

13.1 - A map defines a territory or another map. (Definition)

13.2 - When a map defines another map, it is equivalent to a rule defining a level. (Definition)

13.3 - When a map defines a three-dimensional object, it is equivalent to a rule defining a territory. (Definition)

13.4 - The context “Nothingness” exists as a map, but it is not identical to the three-dimensional territory it describes.

13.5 - Maps and territories exist in a relationship with each other, but they are not dimensionally equivalent.

13.6 - Maps and territories exist in a relationship with each other, but intervening levels may be required to complete the relationship.

14. Power Relationships

14.1 - A relationship is a framework for communication between two objects or among more than two objects.

14.2 - All modes of communication exist in this Universe and therefore all modes of communication are composed of energy.

14.3 - Influence is a communication of energy between two objects or among more than two objects.

14.4 - Entities in a relationship influence each other.

a) Entities can influence each other equally.
b) Entities can influence each other unequally.

14.5 - Influence can express itself as a transfer of contexts.

14.6 - Contexts are composed of energy.

14.7 - Power is the capacity for and measure of energy transfer. (Definition)

14.8 - The entity with greater influence in a relationship has a position of greater power in that relationship. (Definition)

14.9 - A pathway is a circuit along which communication occurs. Pathways within a relationship consist of dimensions shared between or among objects.

14.10 - Entities with different Points of View share fewer dimensions than entities with identical or similar Points of View. Entities with different Points of View therefore have fewer pathways of communication.

14.11 - Entities with different Points of View influence each other less than entities with identical or similar Points of View.

15. The Rules of Power Relationships

15.1 - Geometric Outlines (GOs) can be constructed of one dimension, or they can be constructed of more than one dimension. (Definition)

15.2 - When a GO is constructed of one dimension, it is defined by that dimension. (Definition)

15.3 - When a GO is constructed of more than one dimension, all the dimensions used in its construction are related by a rule. That rule is a GO defined by its dimensions. (Definition)

15.4 - GOs can enter relationships with other GOs by sharing dimensions with those GOs.

15.5 – GOs can break existing relationships with other GOs by disassociating themselves from the dimensions shared with the other GOs. This disassociation changes the definition of all participating GOs.

15.6 - When a new shared dimension is added to a GO, the original rule that related the original dimensions undergoes a change in definition to include the additional dimension. (Definition)

15.7 - Addition is a rule that joins two or more GOs not in a current relationship by identifying a dimension included in the construction of each GO, effectively creating a shared dimension between the GOs and therefore a relationship between the GOs. This shared dimension creates a new uniquely defined GO that includes part or all of the rules that defined the original unrelated GOs. Addition is symbolized by the “+” sign. (Definition)

a) Valence is a method of addition in which GOs directly share one or more dimensions in their respective constructions. Each new shared dimension changes the relationship between the GOs and therefore the definitions of the participating GOs. (Definition)

The rules creating these “joinings” are uniquely identifiable as GOs in their own right. Because rules define levels, these “joinings” may define the Dominant Rule (DR) of the context, or simply define a Recessive Rule (RR) within a larger defined context.

b) Mixing is a method of addition that applies a rule to GOs not currently in a relationship. That rule is not an existing Dominant or Recessive rule in any of the GOs to which it is applied. That rule identifies at least one shared dimension in the construction of those GOs and creates a relationship between the GOs via that rule, and no other rule. Because contexts are simply groups of GOs, and because rules define levels, this rule always becomes the Dominant Rule of the context when using mixed addition. (Definition)

15.8 - Multiplication is an expression of addition using multiple “+” signs, or the “x” sign indicating multiple additions of a particular dimension or GO.

15.9 - Subtraction is a rule that disassociates one or more shared dimensions from a context, creating a new uniquely defined context. Subtraction is symbolized by the “-” sign. (Definition)

a) Subtraction, like addition, moves dimensions out of one context and into another context.

15.10 - Division is an expression of subtraction using multiple “-” signs, or the “÷” or “√” signs indicating multiple subtractions.

15.11 - The Vectors of addition and multiplication (VA) are shared dimensions and connectivity. (Definition)

15.12 - The vectors of subtraction and division (VS) are non-shared dimensions and discontinuity. (Definition)

15.13 - Identity Rule: For any uniquely defined context A, A = A (Definition)

15.14 - Inequality: A ≠ B (Definition)

15.15 - Irrationality: √2 (Definition)

15.16 - Imaginary: i (Definition)

15.17 - Impossible: A / 0 (Definition)

16. Contextual Relationships

16.1 - Rules are logical or mathematical processes that identify relationships between or among particular dimensions in any pool of perceivable dimensions. (Definition)

16.2 - Geometric Outlines are composed of dimensions related by a Dominant Rule.

16.3 - Contexts are Geometric Outlines composed of dimensions related by a rule. Both contexts and GOs include the same defining dimensions.

16.4 - The Dominant Rule of a context is its Point of View.

16.5 - Complex contexts are Geometric Outlines that are themselves composed of Geometric Outlines. The GOs of any complex context are arranged such that there is one Dominant Rule, also known as a Point of View, and one or more Recessive Rules. Each rule defines a level of the complex context.

16.6 - 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. Contexts with identical DRs are identities, one and the same, in any particular pool of dimensions.

16.7 - 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.

16.8 - Recessive Rules are not unique to any particular context. Complex contexts with different Dominant Rules may have identical RRs in their structure.

16.9 - Recessive Rules in one context may be Dominant Rules in other contexts.

16.10 – A First Level relationship is formed when one or more contexts with different Dominant Rules form relationships by directly sharing dimensions via valence. (Definition)

16.11– Contexts in relationships with other contexts form complex contexts.

16.12 - From the Point of View of context “A”, the Dominant Rule of “A” remains unchanged in the formation of complex contexts. From the Point of View of “A”, the Dominant Rules of other contexts in a complex context are Recessive Rules for “A”.

16.13 - 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 within the Dominant Rule) form First Level relationships. In these cases the DR indirectly shares dimensions with the RRs via its directly shared dimensions with the RRs.

16.14 - Analogy is a logical process whose basic mechanism is used in different degrees by all forms of comparing and contrasting contexts.

a) Metaphor
b) Simile
c) Comparison
d) Exemplification
e) Allegories
f) Parables

16.15 - Paradoxes and Dilemmas are complex contexts with conflicting Recessive Rules in their structure.

17. Feelings, Thinking and the Self Image

17.1 - The Dominant Rule of a Self Geometric Outline (SGO) is “All My Beliefs Are Right”. (Definition)

17.2 - The Self Geometric Outline (SGO) is the sum of interactions between a Dominant Rule “All My Beliefs Are Right” and all the Recessive Rules composing the SGO. (Definition)

17.3 - The Self Geometric Outline (SGO) defines an Identity. (Definition)

17.4 - A Rule is a Point of View. (Definition)

a) Dominant Rules = Dominant Points of View
b) Recessive Rules = Recessive Points of View

17.5 - Power is the capacity for and measure of energy transfer.

17.6 - Feelings = relative states of power (Definition)

17.7 - Feelings = Thinking (Definition)

17.8 - Ideal love is the equal influence of perceivable energy, in both measure and kind, between and among objects. (Definition)

17.9 - War is an unequal influence of perceivable energy, in both measure and kind, between or among objects. (Definition)

18. The Constant Quantity of Power

18.1 - Power = work divided by time P=W÷T.

18.2 – Power defines the capacity to do work.

18.3 - Work is a measure of energy transfer.

a) Energy is a dimension of work.

18.4 - By P=W÷T, work is a dimension of power, and therefore energy, as a dimension of work, is a dimension of power.

18.5 - Power is the capacity for and measure of energy transfer.

18.6 – All contexts are composed of energy, and therefore all contexts include the dimension of power.

18.7 The Law of Conservation of Matter and Energy = the total amount of energy (including potential energy) in an isolated system remains constant.

18.8 The Law of Conservation of Contextual Energy = the total amount of energy in an isolated (unique) contextual system remains constant. (Definition)

18.9 - Rules determine the inclusion or exclusion of particular dimensions in the perceivable pool of dimensions.

18.10 - Dimensions are composed of energy.

18.11 - By controlling the inclusion or exclusion of particular dimensions in a context, rules control the power in a context.

18.12 - A Point of View is the Dominant Rule of a context.

18.13 - A complex contexts contains a Dominant Rule and one or more Recessive Rules.

18.14 - The Dominant and Recessive Rules of a complex context control the energy within the complex context.

18.15 - The Point of View and Recessive Rules of a complex context control the energy within the complex context.

Part 2 - FIRST LEVEL APPLICATIONS

19. The Physical Mechanics of Logic and Mathematics

19.1 – An “object” is any unique entity or any unique Idea.

19.2 – Perceivable objects must necessarily exist.

a) Entities and Ideas are perceivable, and therefore entities and Ideas 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.

a) Entities and Ideas are composed 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.

a) A dimension or collection of dimensions define an object.
b) Mass requires matter for its definition, and matter requires mass for its definition.
c) Mass is a dimension of matter, and matter is a dimension of mass.

19.12 – Dimensions in a definition are related by a logical or mathematical rule.

a) Mass exists in a relationship with matter, and matter exists in a relationship with mass.

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.

a) Ideas, which are composed of energy, can be viewed as massive objects.

b) As objects with mass, Ideas can be viewed as matter.

c) Ideas are physical entities.

19.15 – Energy, in all its forms, can be defined with logical and mathematical laws.

a) Energy, in all its forms, exists in a relationship with logical and mathematical laws.

b) In a Universe composed solely of energy, relationships are either logical or mathematical.

19.16 - Definitions and relationships, composed solely of energy, must necessarily also exist in a physical form.

a) Logical and mathematical definitions can be viewed as physical relationships.
b) Logical and mathematical definitions can be viewed as physical constructions.
c) Logical and mathematical relationships can be viewed as physical relationships.
d) Logical and mathematical relationships can be viewed as physical constructions.

20. First Level GO Mechanics

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)

a) A GO is a First Level dimension of every uniquely defined entity. A GO 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 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)

20.10 - 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)

Part 3 - MULTIPLE LEVEL APPLICATIONS

21. The Relative Framework of the Dimensional Nexus

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.

a) Matter has a physical structure and can be defined at least by the Geometric Outline of that physical structure.
b) Ideas can be viewed as matter.
c) Unique Ideas can be defined at least by their Geometric Outline.
d) A Geometric Outline defines a unique Idea.
e) Every Geometric Outline can be viewed as an Idea.
f) Ideas can be viewed as energy, mass, matter or speed, or any combination or proportions of energy, mass, matter and speed. Therefore, energy, mass, matter and speed are logically related to all Ideas.
g) The logical relationships among energy, matter, mass, speed, and Ideas define a logical island of Ideas.
h) A Base Geometric Outline is a self-contained logical island of ideas.
I) All Ideas can be viewed as Base Geometric Outlines.

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.

a) Matter has a physical structure and can be defined at least by the Geometric Outline of that physical structure.
b) Dimensions can be viewed as matter.
c) Unique dimensions can be defined at least by their Geometric Outline.
d) A Geometric Outline defines a unique dimension.
e) Every Geometric Outline can be viewed as a dimension.
f) Dimensions can be viewed as energy, mass, matter or speed, or any combination or proportions of energy, mass, matter and speed. Therefore, energy, mass, matter and speed are logically related to all dimensions.
g) The logical relationships among energy, matter, mass, speed, and dimensions define a logical island of Ideas.
h) A Base Geometric Outline is a self-contained logical island of ideas.
i) All dimensions can be viewed as Base Geometric Outlines.

21.3 – Contexts and Rules are composed of Ideas and Dimensions

a) A context is a logical or mathematical organization of Ideas.
b) A rule is a logical or mathematical organization of dimensions.
c) An idea is an object composed of one or more dimensions.
d) A context is a logical or mathematical organization of dimensions.
e) A rule is a logical or mathematical organization of ideas.
f) Ideas and dimensions can be defined at least by their geometric outlines.
g) A Geometric Outline defines a unique Idea. Put another way, a Geometric Outline defines a unique dimension.
h) A Base Geometric Outline is a self-contained logical island of ideas.
i) A Point Of View is one or more Base Geometric Outlines logically related and used as the primary filter for newly introduced Ideas.
j) Contexts are Base Geometric Outlines composed of dimensions related by a logical rule. Both a context and the GO of that context include the same defining dimensions.
k) Dimensions related by a logical rule form a self-contained logical island of ideas.
l) Every rule defines a context. (Definition)
m) Every context defines a rule. (Definition)
n) Rules, contexts and Points Of View can be viewed as Base Geometric Outlines.

21.4 - A law is a logical or mathematical rule. A rule defines a context, therefore a law is a context.

a) An object exists in a relationship with another object when one or more of its composing dimensions is identical to one or more dimensions composing the other object. (Definition)
b) An object exists in a relationship with another object when one or more of its composing dimensions is logically related to one or more dimensions composing the other object. (Definition)
c) - 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)
d) Matter obeys logical and mathematical laws.
e) Ideas can be viewed as matter.
f) Ideas obey logical and mathematical laws.
g) Ideas are said to be logically organized when they are physically grouped by a physical law.

21.5 – Complex contexts consist of two or more contexts organized by different rules.

a) A Base Geometric Outline is a self consistent logical island of ideas. Put another way, a BGO is a logical grouping of Geometric Outlines.
b) Every rule is a BGO.
c) Every rule defines a context.
d) Rules can be combined to form complex contexts.
e) Complex contexts consist of a Dominant Rule and one or more Recessive Rules.
f) Each context in a complex context is a level of the complex context, where a level is defined as one context organized by one rule, or multiple contexts related to each other by a more inclusive, encompassing rule.

21.6 – A Geometric Outline defines a unique Idea. Put another way, a Geometric Outline defines a unique dimension.

a) Any unique object is composed of at least one dimension.
b) Any unique dimension is an object.
c) One or more dimensions define an object.
d) Every unique dimension must be uniquely defined.
e) 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)
f) For any definition to be unique and distinct from any other definition, it must be logically compared or contrasted with every other definition to determine its uniqueness.
g) A dimension must exist in a logical relationship with another dimension to determine its uniqueness versus the other dimension.
h) A dimension defines an Idea.
i) A Base Geometric Outline is a self contained logical island of Ideas.
j) A structure that compares or contrasts two dimensions is a self contained logical island of Ideas.
k) A definition is a Base Geometric Outline.

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

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

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.

a) A First Level relationship is formed when contexts organized by different rules form relationships by directly sharing one or more dimensions via valence.

23.2 – A rule is a unique logical or mathematical structure of dimensions.

a) Every rule is a unique structure defined by the logical or mathematical relationships of its composing dimensions.
b) The physical structure of a dimension is defined at least by its Geometric Outline.
c) Every rule is composed of Geometric Outlines.

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.

a) Matter has a physical structure and can be defined at least by the Geometric Outline of that physical structure.
b) Ideas can be viewed as matter.
c) Unique Ideas can be defined at least by their Geometric Outline.
d) A Geometric Outline defines a unique Idea.
e) Every Geometric Outline can be viewed as an Idea.

23.4 – A context is a logical or mathematical organization of Ideas.

a) Every rule is composed of Geometric Outlines.
b) A Geometric Outline defines a unique Idea.
c) A Base Geometric Outline is a self-contained logical island of ideas.
d) Contexts are Base Geometric Outlines composed of dimensions related by a logical or mathematical rule. Both a context and the GO of that context include the same defining dimensions.
e) Every rule defines a context. (Definition)
f) Every context defines a rule. (Definition)

23.5 - A law is a logical or mathematical rule.

a) Matter “obeys” logical and mathematical laws.
b) Ideas can be viewed as matter.
c) Ideas obey logical and mathematical laws.
d) Ideas are said to be logically organized when they are physically grouped by a physical law.

23.6 - A rule is a self consistent logical island of Ideas.

a) Every rule defines a context.
b) Rules can be combined to form complex contexts.
c) Complex contexts consist of a Dominant Rule and one or more Recessive Rules.
d) Each context in a complex context is a level of the complex context, where a level is defined as one context organized by one rule, or multiple contexts related to each other by a more inclusive, encompassing rule.

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.

a) A Dominant Focal Geometric Outline (DFGO) is the GO within any context to which other GOs in the context refer. The DFGO is the core physical structure to which other GOs in the context attach. (Definition)

b) 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.

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.

a) Every rule defines a context.
b) Rules can be combined to form complex contexts.
c) Complex contexts consist of a Dominant Rule and one or more Recessive Rules.
d) The logical and mathematical operations of the Dominant Rule are the primary filter in any complex context.
e) The logical and mathematical operations of Recessive Rules in a complex context are filtered through the logical and mathematical operations of the Dominant Rule.
f) Dominant Rules and Recessive Rules are composed of dimensions.
g) In a Second Level contextual relationship at least two dimensions are related by a rule different from the DR and RR in a complex context. This new rule becomes an additional RR in the complex context. Those dimensions are never directly shared by valence between the DR and the original RR.

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.

a) The Dominant and Recessive Rules of numerical container objects, also know as sets, are always the product of an Objective Point Of View. (Definition)
b) The Dominant and Recessive Rules of non-numerical container objects, also know as sets, can be the product of either an Objective Point Of View or a Personal Point Of View. (Definition)

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.

a) The dimensions of “soft” sciences are physical dimensions.
b) Physical dimensions obey physical laws.
c) The dimensions of soft sciences must obey physical laws, just as do the dimensions of hard sciences.

24. The Mechanics of Perception

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.

a) The integration of new dimensions into a context changes the definition of the context, and may change the Point Of View of the context.

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

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.

a) Via the big Bang Theory, this Universe was created in a burst of energy, and everything in the Universe is necessarily composed of energy.
b) Perceivable objects necessarily exist. Objects that exist must exist in this Universe of energy. Perceivable objects are therefore composed of energy.
c) Dimensions are perceivable. Therefore they exist and they are composed of energy.
d) GOs are entirely composed of dimensions, therefore GOs are entirely composed of energy.

25.3 – A relationship is a framework for communication between two objects or among more than two objects.

a) A pathway is a circuit along which communication occurs. Pathways within a relationship consist of dimensions shared, directly or indirectly, between or among objects.

25.4 - A dimension can be viewed as a Base Geometric Outline, a logical island of Ideas.

a) Ideas require dimensions for their definition.
b) Dimensions are perceivable objects, and therefore dimensions necessarily exist.
c) Objects that exist in this Universe are composed of energy.
d) Via E=MCC, energy, mass and the speed of light squared are logically and mathematically related to each other.
e) Energy, mass and the speed of light squared are ideas.
f) A dimension is 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.

a) Via the big Bang Theory, this Universe was created in a burst of energy, and everything in the Universe is necessarily composed of energy.
b) All modes of communication existing in this Universe must necessarily be composed of energy.

25.6 – Influence is a communication of energy between two objects or among more than two objects.

a) For any object to influence another object, it must exist in a relationship with it. Therefore objects in a relationship can influence each other.

25.7 - Logical and mathematical laws and processes have a physical structure.

a) Via the big Bang Theory, this Universe was created in a burst of energy, and everything in the Universe is necessarily composed of energy.
b) Energy has a mass component, and mass is a measure of a quantity of matter. Mass therefore requires matter for its definition. Energy therefore has a matter component.
c) Energy and matter share the dimension mass in their definitions.
d) Energy is logically and mathematically related to mass via E=MCC.
e) Mass is logically and mathematically related to matter via the definition of mass as a quantity of matter.
f) Energy is logically and mathematically related to matter via their shared dimension mass.
g) Matter is a physical entity.
h) Logical and mathematical processes exist in the Universe and therefore are composed of energy and have a physical existence.
i) Logical and mathematical processes have a physical existence, and therefore a physical structure.

25.8 - Logical and mathematical laws and processes influence physical objects.

a) Influence is a communication of energy between two objects or among more than two objects.
b) For any object to influence another object, it must exist in a relationship with it. Therefore objects in a relationship can influence each other.
c) Logical and mathematical processes exist in a relationship with physical objects.
d) Logical and mathematical processes influence physical objects.

25.9 Shared dimensions define the physical structure of logic and mathematics.

a) Logical and mathematical processes influence physical objects.
b) Communication requires a physical medium that is, or contains, the message and a physical pathway that directs the medium.
c) A shared dimension is a physical pathway between Geometric Outlines.
d) Contexts are Geometric Outlines composed of dimensions related by a logical or mathematical rule. A rule is a logical or mathematical process, and therefore a rule is a physical structure.
e) Shared dimensions provide physical pathways within logical or mathematical structures.

25.10 The mechanics of meaning is the flow of energy – the flow of dimensions – across shared dimensions.

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.

27. Sub-Levels

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.

a) Recessive Rules have the same physical structure as Dominant Rules.

27.10 - For any complex context, a sublevel of the Dominant Rule is an Axis sub-level (ASL) of that complex context. (Definition)

a) In the case of multiple Axis sub-levels within a complex context, some Axes can exert a greater influence than other Axes on the meaning of the complex context.
b) The influence of an Axis sub-level on the meaning of a complex context is dependent on the dimensions shared with the Dominant Rule. (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)

a) In the case of multiple Tributary sub-levels within a Recessive Rule, some Tributaries can exert a greater influence than other Tributaries on the meaning of the Recessive Rule.
b) The influence of a Tributary sub-level on the meaning of a Recessive Rule is dependent on the dimensions shared with the Recessive Rule. (Definition)

28. The Construction of a Complex Context - Terminology Review

28.1 - Definitions reveal the external physical shape and internal structure of objects.

28.2 - Tools are definitions designed to analyze contexts.

29. The Construction of a Complex Context - Identifying Objects

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

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.
(Complex Context) (Dominant Rule)

Axis Sub-Level 1 (ASL1)... A relationship is a logical or mathematical framework for communication between two objects or among more than two objects.

Tributary Sub-Level 1 of Axis Sub-Level 1 (ASL1 TSL1)... Relationships are composed of energy and exist in this UniverseRelationships are composed of energy and exist in this Universe.

1. ASL1 TSL1.... The Universe was created in a Big Bang of energy, therefore energy in all its forms is the sole substance of the Universe.
2. ASL1 TSL1.... Every object that exists in the Universe is composed of the energy created at the time of the Big Bang.
3. ASL1 TSL1.... Relationships are perceivable objects.
4. ASL1 TSL1.... Perceivable objects exist.
5. ASL1 TSL1.... Perceivable objects are composed of energy.
6. ASL1 TSL1.... Relationships are composed of energy and exist in this Universe.

********

Tributary Sub-Level 2 of Axis Sub-Level 1(ASL1 TSL2)… Relationships obey all logical and mathematical laws.

1. ASL1 TSL2... The Universe was created in a Big Bang of energy, therefore energy in all its forms is the sole substance of the Universe.
2. ASL1 TSL2... Every object that exists in the Universe is composed of the energy created at the time of the Big Bang.
3. ASL1 TSL2... E=MCC defines the logical and mathematical relationships among energy, mass and the speed of light squared.
4. ASL1 TSL2... Objects composed of energy obey the logical and mathematical law E=MC2.
5. ASL1 TSL2... All logical and mathematical laws are perceivable objects.
6. ASL1 TSL2... All logical and mathematical laws are composed of energy.
7. ASL1 TSL2... All logical and mathematical laws obey E=MCC.
8. ASL1 TSL2... All logical and mathematical laws define relationships.
9. ASL1 TSL2... All relationships obey E=MCC.
10. ASL1 TSL2... Relationships obey all logical and mathematical laws.

*********

Tributary Sub-Level 3 of Axis Sub-Level 1 (ASL1 TSL3)… Relationships are a framework for communication.

1. ASL1 TSL3... Communication is the transfer of energy, in all its forms, from a sending object to a receiving object.
2. ASL1 TSL3... A pathway is a circuit along which communication occurs.
3. ASL1 TSL3... A pathway is a framework for communication.
4. ASL1 TSL3... Objects are composed of dimensions.
5. ASL1 TSL3... A relationship is a context that includes at least one energy-sending object, one energy-receiving object, the particular energy passing between the objects, and the shared dimension(s) that serve as the conduit for the energy passing between the objects.
6. ASL1 TSL3... Relationships define a pathway between a sending object and a receiving object.
7. ASL1 TSL3... Relationships are a framework for communication.

*********

Tributary Sub-Level 4 of Axis Sub-Level 1 (ASL1 TSL4)… Logic and mathematics define the physical structure of relationships.

1. ASL1 TSL4… 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.
2. ASL1 TSL4… The Big Bang Theory states this Universe was created in a burst of energy, and everything in the Universe is necessarily composed of energy.
3. ASL1 TSL4… Relationships exist in this Universe and are composed of energy.
4. ASL1 TSL4… Perceivable objects necessarily exist. Objects that exist must exist in this Universe of energy. Perceivable objects are therefore composed of energy.
5. ASL1 TSL4… E=MCC defines the logical and mathematical relationships among energy, mass and the speed of light squared.
6. ASL1 TSL4… Relationships obey the logical and mathematical law E=MC2.
7. ASL1 TSL4… Relationships are definable objects.
8. ASL1 TSL4… Via E=MCC. objects can be viewed as massive entities.
9. ASL1 TSL4… Matter is a dimension of matter.
10. ASL1 TSL4… Matter has a physical structure.
11. ASL1 TSL4… Logic and mathematics define the physical structure of relationships.

Axis Sub-Level 2 (ASL2)... A mind exists in logical and mathematical relationships with Ideas.

Tributary Sub-Level 1 of Axis Sub-Level 2 (ASL2 TSL1)… A mind is a filter composed of logically and mathematically related dimensions.

1. ASL2 TSL1... A filter associates or disassociates objects based on the logical or mathematical laws organizing the filter.
2. ASL2 TSL1... A mind associates or disassociates objects based on the logical or mathematical laws organizing the mind.
3. ASL2 TSL1... Perception is any relationship between or among objects.
4. ASL2 TSL1... Objects perceivable by a mind exist in a relationship with that mind.
5. ASL2 TSL1... Ideas are objects perceivable by a mind.
6. ASL2 TSL1... Perceivable objects exist.
7. ASL2 TSL1... Objects that exist in this Universe are composed of energy, mass and speed.
8. ASL2 TSL1... Energy, mass and speed obey logical and mathematical laws.
9. ASL2 TSL1... A mind is an object composed of energy, mass and speed.
10. ASL2 TSL1... A mind obeys logical and mathematical laws.
11. ASL2 TSL1... Logical and mathematical laws identify relationships among dimensions.
12. ASL2 TSL1... A mind identifies relationships among dimensions.
13. ASL2 TSL1... A mind exists in logical and mathematical relationships with the dimensions it perceives.
14. ASL2 TSL1... A mind is a filter composed of logically and mathematically related dimensions.

*********

Tributary Sub-Level 2 of Axis Sub-Level 2 (ASL2 TSL2)… Ideas are contexts composed of logically and mathematically related dimensions.

1. ASL2 TSL2... A context is an object composed of logically and mathematically related objects.
2. ASL2 TSL2... Perceivable objects exist.
3. ASL2 TSL2... A dimension is any uniquely defined perceivable object.
4. ASL2 TSL2... … Dimensions are objects that can be logically and mathematically grouped into larger objects such as Ideas, contexts, levels, rules, laws, geometric outlines, Base Geometric Outlines, and complex contexts.
5. ASL2 TSL2... … Ideas are contexts composed of logically and mathematically related dimensions.

Axis Sub-Level 3 (ASL3)... Ideas are physical objects.

Tributary Sub-Level 1 of Axis Sub-Level 3 (ASL3 TSL1)... Ideas are composed of matter and have a physical form.

1. ASL3 TSL1 … The Big Bang Theory postulates that this Universe was created solely from energy, and is composed solely of energy.
2. ASL3 TSL1 … An object is any particular thing that exists.
3. ASL3 TSL1 … Any individual object that exists in this universe must necessarily be composed of energy.
4. ASL3 TSL1 … If an object is perceivable to a mind, that object must necessarily exist.
5. ASL3 TSL1 … Ideas are perceivable to a mind, and therefore Ideas must necessarily exist.
6. ASL3 TSL1 … Ideas are objects.
7. ASL3 TSL1 … Ideas must necessarily be composed of energy.
8. ASL3 TSL1 … E=MC2 defines the equivalent relationships among energy, mass and the speed of light squared.
9. ASL3 TSL1 … Mass and the speed of light squared are equivalent forms of energy.
10. ASL3 TSL1 … Mass is a measurement of a quantity of matter.
11. ASL3 TSL1 … Any definition of mass must include the definition of matter.
12. ASL3 TSL1 … Mass does not exist without matter.
13. ASL3 TSL1 … Matter, mass and the speed of light squared are equivalent forms of energy.
14. ASL3 TSL1 … Ideas exist equivalently as energy, mass, matter, and the speed of light squared.
15. ASL3 TSL1 … Matter has a physical form.
16. ASL3 TSL1 … A physical form requires physical dimensions.
17. ASL3 TSL1 … Ideas are composed of energy and therefore have an equivalent matter form.
18. ASL3 TSL1 … Ideas are composed of matter and have a physical form.

************

Tributary Sub-Level 2 of Axis Sub-Level 3 (ASL3 TSL2)... Ideas are physical objects.

1. ASL3 TSL2… The Big Bang Theory postulates that this Universe was created solely from energy, and is composed solely of energy.
2. ASL3 TSL2… An object is any particular thing that exists.
3. ASL3 TSL2… Any individual object that exists in this universe must necessarily be composed of energy.
4. ASL3 TSL2… If an object is perceivable to a mind, that object must necessarily exist.
5. ASL3 TSL2… Ideas are perceivable to a mind, and therefore Ideas must necessarily exist.
6. ASL3 TSL2… Ideas are objects.
7. ASL3 TSL2… Ideas must necessarily be composed of energy.
8. ASL3 TSL2… E=MC2 defines the equivalent relationships among energy, mass and the speed of light squared.
9. ASL3 TSL2… Mass and the speed of light squared are equivalent forms of energy.
10. ASL3 TSL2… Mass is a measurement of a quantity of matter.
11. ASL3 TSL2… Any definition of mass must include the definition of matter.
12. ASL3 TSL2… Mass does not exist without matter.
13. ASL3 TSL2… Matter, mass and the speed of light squared are equivalent forms of energy.
14. ASL3 TSL2… Ideas exist equivalently as energy, mass, matter, and the speed of light squared.
15. ASL3 TSL2… Matter has a physical form.
16. ASL3 TSL2… A physical form requires physical dimensions.
17. ASL3 TSL2… Ideas are composed of energy and therefore have an equivalent matter form.
18. ASL3 TSL2… Objects composed of matter are physical objects.
19. ASL3 TSL2… Ideas are physical objects.

Axis Sub-Level 4 (ASL4)... Thinking is the physical assembly of dimensions into logical and mathematical relationships.

Tributary Sub-Level 1 of Axis Sub-Level 4 (ASL4 TSL1)… Thinking defines objects.

1. ASL4 TSL1… 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.
2. ASL4 TSL1… Objects are defined by their composing dimensions.
3. ASL4 TSL1… A mind is a filter composed of logically and mathematically related dimensions.
4. ASL4 TSL1… Filtering is the association or disassociation of dimensions in the perceivable pool of dimensions based on logical and mathematical laws.
5. ASL4 TSL1… A mind associates or disassociates dimensions in the perceivable pool of dimensions based on the logical or mathematical laws organizing the mind.
6. ASL4 TSL1… Thinking is the association and disassociation of Ideas based on logical and mathematical laws.
7. ASL4 TSL1… Dimensions are objects that can be logically and mathematically grouped into larger objects such as Ideas, contexts, levels, rules, laws, geometric outlines, Base Geometric Outlines, and complex contexts.
8. ASL4 TSL1… Ideas are composed of dimensions.
9. ASL4 TSL1… A mind associates or disassociates dimensions in the perceivable pool of dimensions based on the logical or mathematical laws organizing the mind.
10. ASL4 TSL1… Thinking associates or disassociates dimensions based on the logical or mathematical laws organizing a mind.
11. ASL4 TSL1… Thinking defines objects.

**********

Tributary Sub-Level 2 of Axis Sub-Level 4 (ASL4 TSL2)… Dimensions are physical objects.

1. ASL4 TSL2… A mind is an object composed of energy, mass and speed.
2. ASL4 TSL2… A mind obeys logical and mathematical laws.
3. ASL4 TSL2… A mind exists in logical and mathematical relationships with the contexts and Ideas it perceives.
4. ASL4 TSL2… Contexts and Ideas are composed of dimensions.
5. ASL4 TSL2… A mind exists in logical and mathematical relationships with the dimensions it perceives.
6. ASL4 TSL2… Dimensions exist equivalently as energy, mass, matter, and the speed of light squared.
7. ASL4 TSL2… Matter has a physical form.
8. ASL4 TSL2… A physical form requires dimensions for its definition.
9. ASL4 TSL2… Dimensions have a physical form.
10. ASL4 TSL2… Dimensions are physical objects.

31. The Construction of a Complex Context - An Analysis - Part 2

31.1 - Dimensional representations of physical Ideas.

32. The Construction of a Complex Context - An Analysis - Part 3

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

a) Godel's Theorem
b) Linear Logic vs Dimensional Logic

Part 5 - CONCLUSIONS

34. Implications of Physical Ideas

34.1 Shared Dimensions and Symbolism

34.3 Co-existent Realities

34.4 Artificial Intelligence

34.5 War and Peace

34.6 Mind and Body

34.7 Entropy, Death and Eternity

34.8 POVs and the Protection of Power

34.9 Consciousness