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This is a work in progress - all rights reserved.
Copyright © 2006-2010 Tony Giovia

 

CHAPTER 4 – Dimensions v2.0

SECTION A

4.1 - A dimension is any defined component of an object. (Definition)

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

4.3 - Outlines, magnitudes, architectures and designs are defined components of objects.

4.4 - Outlines, magnitudes, architectures and designs are dimensions of objects. (Construction)

SECTION B

4.5 - Outlines, magnitudes, architectures and designs are defined objects.

4.6 - Dimensions are defined objects. (Construction)

4.7 - Objects are composed of defined dimensions. (Construction)

4.8 – All dimensions are defined. (Construction)

4.9 – Objects are composed of dimensions. (Construction)

SECTION C

4.10 - A defined object is detectable by the human physical senses.

4.11 - Dimensions are detectable by the human physical senses. (Construction)

4.12 - An object is any aspect of the Universe detectable by the human physical senses of touch, sight, smell, taste and hearing.

4.13 - Each dimension detectable by human physical senses is itself an object defined by its outline, and/or its magnitudes, and/or its architecture, and/or its design. (Construction)

4.14 - A defined object is composed of defined objects.

4.15 - A dimension is an object composed of defined dimensions. (Construction)

SECTION D

4-16 - Any dimension can be completely defined by its composing dimensions. (Construction)

4.17 - Any dimension can be completely defined by its composing objects. (Construction)

4.18 - Any object is a defined dimension. (Construction)

4.19 – Any object is a dimension. (Construction)

SECTION E

4.20 - Defined objects are components of definitions.

4.21 - Each dimension detectable by human physical senses is itself an object defined by its outline, and/or its magnitudes, and/or its architecture, and/or its design.

4.22 – Definitions are composed of objects. (Construction)

4.23 – Any definition includes each and every of its composing objects. (Construction)

4.24 - Definitions are composed of dimensions. (Construction)                                                                 

4.25 - Any definition includes each and every of its composing dimensions. (Construction)

 

Any definable aspect of an object is a dimension of that object. Dimensions can be absolute, as in “There are exactly 60 seconds in a minute” or relative as in “A is greater than (heavier than, farther than) B”.

A mathematician defines a dimension as “The least number of independent coordinates required to specify uniquely the points in a space.” A physicist defines a dimension as “A physical property, such as mass, length, time, or a combination thereof, regarded as a fundamental measure or as one of a set of fundamental measures of a physical quantity.” Both of these are useful definitions completely included in our usage of the term dimension.

A key point is that every dimension detectable by human physical senses is itself a defined object. This means that each of these dimensions is itself composed of dimensions. The structure of the “dimensional universe” is a network of countless linkages. We will be looking at the phenomenon of dimensions on both a small scale and a large scale as we go along.

Because definitions are composed of dimensions, each definition is a composite dimension, and therefore a composite object. The terms definition, dimension and object are interchangeable in this context.

 

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