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This is a work in progress - all rights reserved.
Copyright © 2006-2011 Anthony Giovia

 

CHAPTER 7 – Pathways

SECTION A

7.1 - A Pathway is a dimension shared by two or more objects composing a definition. (Definition)
           
7.2 - Each and every Object, each and every Dimension, each and every Definition, and each and every Architecture is simultaneously an Object, a Dimension, a Definition, and an Architecture. (6.24)

7.3 - Each and every Object, each and every Dimension, each and every Definition, and each and every Architecture is simultaneously a Complex Object, a Complex Dimension, a Complex Definition, and a Complex Architecture. (6.25)

7.4 - A pathway is an object shared by two or more complex objects composing a definition. (Construction)

7.5 - A pathway is a dimension shared by two or more complex dimensions composing a definition. (Construction)

7.6 - A pathway is an object shared by two or more dimensions composing a definition. (Construction)

SECTION B

7.7 - Each and every Object, each and every Dimension, each and every Definition, and each and every Architecture is simultaneously an Object, a Dimension, a Definition, and an Architecture. (6.24)

7.8 - Each and every Object, each and every Dimension, each and every Definition, and each and every Architecture is simultaneously a Complex Object, a Complex Dimension, a Complex Definition, and a Complex Architecture. (6.25)

7.9 - A pathway is a dimension shared by two or more objects composing a complex dimension. (Construction)

7.10 - A pathway is an object shared by two or more complex objects composing a dimension. (Construction)

7.11 - A pathway is a dimension shared by two or more complex dimensions composing a complex dimension. (Construction)

7.12 - A pathway is an object shared by two or more dimensions composing a complex dimension. (Construction)

SECTION C

7.13 - Each and every Object, each and every Dimension, each and every Definition, and each and every Architecture is simultaneously an Object, a Dimension, a Definition, and an Architecture. (6.24)

7.14 - Each and every Object, each and every Dimension, each and every Definition, and each and every Architecture is simultaneously a Complex Object, a Complex Dimension, a Complex Definition, and a Complex Architecture. (6.25)

7.15 - A pathway is a dimension shared by two or more objects composing a complex object. (Construction)

7.16 - A pathway is an object shared by two or more complex objects composing a complex object. (Construction)

7.17 - A pathway is a dimension shared by two or more complex dimensions composing an object. (Construction)

7.18 - A pathway is an object shared by two or more dimensions composing a complex object. (Construction)

SECTION D

7.19 - Each and every Object, each and every Dimension, each and every Definition, and each and every Architecture is simultaneously an Object, a Dimension, a Definition, and an Architecture. (6.24)

7.20 - Each and every Object, each and every Dimension, each and every Definition, and each and every Architecture is simultaneously a Complex Object, a Complex Dimension, a Complex Definition, and a Complex Architecture. (6.25)

7.21 - A pathway is a dimension shared by two or more objects composing an architecture. (Construction)

7.22 - A pathway is an object shared by two or more complex objects composing an architecture. (Construction)

7.23 - A pathway is a dimension shared by two or more complex dimensions composing an architecture. (Construction)

7.24 - A pathway is an object shared by two or more dimensions composing an architecture. (Construction)

SECTION E

7.25 - Each and every Object, each and every Dimension, each and every Definition, and each and every Architecture is simultaneously an Object, a Dimension, a Definition, and an Architecture. (6.24)

7.26 - Each and every pathway is simultaneously an Object, a Dimension, a Definition, and an Architecture. (Construction)

7.27 - A pathway is a dimension, and/or an object, and/or a definition, and/or an architecture shared by two or more dimensions, and/or objects, and/or definitions, and or architectures composing a complex dimension, and/or a complex object, and/or a complex definition, and/or a complex architecture. (Construction)

 

Understanding the interaction of objects, dimensions, definitions and architectures is the basis of any Geometry of Ideas. For example, the number "1" can be described in many ways - as a "number", as "not a letter", as a "point on the number line", as a "member of the set of all numbers", and so on. Just as the number "1" simultaneously fills many roles, so too does each object, dimension, definition and architecture.

To avoid tedium we did not spell out all the obvious permutations of the definition "A pathway is a dimension shared by two or more objects composing a definition." However, hopefully it is clear that statements such as "A pathway is an architecture shared by two or more definitions composing a dimension." and "A pathway is a definition shared by two or more architectures composing a complex definition." can be easily constructed.

 

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