Shared Dimensions:
PRINCIPLES OF DIMENSIONAL THINKING

The Logic of Physical Ideas

Theory and Applications

by Anthony Giovia

Copyright © 2006-2010 Tony Giovia

All rights reserved

WORK IN PROGRESS

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Shared Dimensions:
Principles of Dimensional Thinking

Preface v1.3

Part 1 - THEORY

1. Objects v1.1

2. A Definition of Definition v2.4

3. Body v1.0

4. Dimensions v2.0

5. Shared Dimensions v2.3

6. Relationships v2.0

7. Influence v2.0

8. Ideas v2.0

9. Mind v1.0

10. The Relationship of Mind and Body v1.0

 

Part 2 - FIRST LEVEL APPLICATIONS


Part 3 - MULTIPLE LEVEL APPLICATIONS


Part 4 - CONCLUSIONS

Physical Ideas and Dimensional Logic

Godel's Incompleteness Theorem and Dimensional Logic

Dimensional Thinking and the Levels of Logic

The Function of Perception

END

 

 

 

Shared Dimensions:
Principles of Dimensional Thinking

Preface v1.3

Part 1 - THEORY

1. Objects v1.1

1.1 - The human physical senses - touch, sight, smell, taste and hearing - detect some or all aspects of the Universe. (Definition)

1.2 – Detection of an aspect of the Universe by physical human senses is absolute proof that aspect necessarily exists in this Universe. (Definition)

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

1.4 – An object detectable by human physical senses must necessarily exist in this Universe. (Construction)

2. A Definition of Definition v2.4

SECTION A

2.1 - The act of determination is the act of definition. (Definition)

2.2 - 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. (Definition)

2.2a - An outline determines the shape and boundaries of an object. (Definition)
2.2b - Magnitudes determine the measurable quantities of an object, relative to other magnitudes using the same standard of measurement. (Definition)
2.2c - Architecture determines the composition of an object within its shape and boundaries. (Definition)
2.2d - A design determines the function of an object. (Definition)

2.3 – Any object can be defined by its outline, and/or its magnitudes, and/or its architecture, and/or its design. (Construction)

2.4 - Any object can be completely defined by its outline, magnitudes, architecture and design. (Construction)

SECTION B

2.5 - An object detectable by human physical senses must necessarily exist in this Universe.

2.6 - A defined object is detectable by human physical senses. (Construction)

2.7 - A defined object must necessarily exist in this Universe. (Construction)

2.8 - Outlines, magnitudes, architectures and designs are detectable by human physical senses. (Construction)

2.9 - Outlines, magnitudes, architectures and designs must necessarily exist in this Universe. (Construction)

2.10 - Outlines, magnitudes, architectures and designs are defined objects. (Construction)

2.11 – A defined object is composed of defined objects. (Construction)

2.12 – Defined objects are components of definitions. (Construction)

2.13 - Outlines, magnitudes, architectures and designs are defined components of objects. (Construction)

3. Body v1.0

3.1 - The human physical senses - touch, sight, smell, taste and hearing - detect some or all aspects of the Universe.

3.2 - The human physical body is detectable by the human physical senses. (Definition)

3.3 - The human physical body is an object. (Construction)

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)

5. Shared Dimensions v2.3

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.

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 Object A and Object B share dimension 4. (Construction)

 

6. Relationships v2.0

7. Influence v2.0

8. Ideas v2.0

9. Mind v1.0

10. The Relationship of Mind and Body v1.0

 

To Be Continued

 

 

 

 

 

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