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

 

CHAPTER 5 – Shared Dimensions v2.5

5.1 – Any object can be defined by its outline, and/or its magnitudes, and/or its architecture, and/or its design.

5.2 – In this Universe there exists at least two unique objects which, either instantaneously or persistently, include identical outlines, and/or magnitudes, and/or architectures, and/or designs in their definitions. (Definition)

5.3 – Identical outlines, magnitudes, architectures and designs can exist in more than one object. (Construction)

5.4 – Outlines, magnitudes, architectures and designs are dimensions of objects.

5.5 – Identical dimensions can exist in more than one object. (Construction)

5.6 – A Shared Dimension is a uniquely defined dimension that exists in more than one object. (Definition)

5.7 - If Object A is defined by dimensions 1,2,3,4 and Object B is defined by dimensions 4,5,6, then dimension 4 is a shared dimension. (Construction)

SECTION B

5.8 - Any object can be completely defined by its composing dimensions.

5.9 - Architecture determines the composition of an object within its shape and boundaries.

5.10 - The act of determination is the act of definition.

5.11 - Architecture defines the composition of an object within its shape and boundaries.

5.12 - A shared dimension is a uniquely defined dimension that exists in more than one object.

5.13 - If Object A is defined by dimensions 1,2,3,4, and Object B is defined by dimensions 4,5,6, then dimension 4 is a shared dimension of Object A  and Object B. (Construction)

5.14 - Any definition includes each and every of its composing dimensions.

5.15 - If Object A and Object B exist in the same definition, they form an architecture defined by 1,2,3,4,5,6,7, or 1,2,3,4,4,5,6,7. (Construction)

SECTION C

5.16 - A definition determines the outline, and/or magnitude, and/or architecture and/or design of an object, such that any definition is distinct and unique from every other definition.

5.17 - A definition is composed of uniquely defined objects. (Construction)

5.18 - A definition is composed of uniquely defined dimensions. (Construction)

5.19 – A change to any composing dimension in a definition changes an object’s definition. (Construction)

5.20 - If a dimension is shared between the definition of Object A and the definition of Object B, then exchanging that dimension of Object A for that dimension of Object B will not change the definition of Object A or of Object B. (Construction)

5.21 - The exchange of a shared dimension between objects does not change the definition of those objects. (Construction)

5.22 - If a dimension is shared between the architecture of Object A and the architecture of Object B, then exchanging that dimension of Object A for that dimension of Object B will not change the architecture of Object A or of Object B. (Construction)

5.23 - The exchange of a shared dimension between objects does not change the architecture of those objects. (Construction)

 

A shared dimension is a unique component of an object that also happens to be a unique component of one or more other objects. Common examples of this are two objects of the same color, or temperature, or length, or shape.

This chapter merely states that two distinct objects can contain an identical dimension in their definition. There is no reasoning in this chapter implying that two distinct objects are physically joined at their shared dimension(s).

 

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