◄ BACK

This is a work in progress - all rights reserved.
Copyright © 2006-2009 Tony Giovia

 

CHAPTER 6 – Logic and Mathematics v1.1

6.1 – Logic and mathematics are objects. (Construction)

a) The Universe was created in a Big Bang of energy.
b) Every object in the Universe is composed of energy.
c) Energy obeys logical and mathematical laws.
d) Logical and mathematical laws exist in this Universe.
e) Logic and mathematics are composed of energy.
f) Logic and mathematics obey physical laws.
g) Logic and mathematics are objects.

6.2 - In a logical and mathematical Universe, all relationships are logical and mathematical. (Construction)

6.3 - Objects share the dimensions of existence, energy elements, matter and the constant speed of light. (Construction)

6.3 - Shared dimensions are the embodiment of logic and mathematics. (Definition)

6.4 - Logic and Mathematics embody the innate structure of the Universe. (Construction)  

a) The Universe is composed solely of energy.
b) Energy completely obeys known laws.
c) Laws are structured as logical and/or mathematical objects.
d) Objects that obey laws have a logical or mathematical structure.
e) The Universe is composed of logical and mathematical objects.
f) Logic and Mathematics embody the innate structure of the Universe.

 

The Geometry of Ideas is designed to be an inclusive tool for understanding reality. There is no shortage of philosophic systems designed to understand reality - metaphysics, Pythagorism, epistemology, Buddhism, existentialism, pragmatism, Platonism, structuralism, empiricism  – the list goes on, and keeps going into all religious, cultural and other systems. Similarly, the Scientific Method relies on logic and mathematics for its hypotheses, and then “tests” these hypotheses against observation of the physical world. The key point is that all these systems, including The Geometry of Ideas, use logic and/or mathematics to espouse their perspectives.

Except for the Geometry of Ideas, all these systems treat Ideas as non-physical objects that somehow affect physical objects. While this does not falsify those systems, it is clear that they offer observation as the only methodology of verifying the structural integrity between the physical and non-physical worlds. Observation is certainly effective, but it can also be selective, weakening results. Furthermore, and most damaging, comparing hypotheses with observations is itself a logical operation, so non-physical hypotheses are being confirmed by non-physical logical processes.

Summing up, while observation implies a connection between non-physical Ideas and physical objects, it in no manner directly elucidates what that connection is or how it works. This makes understanding the mechanics of Logic – that is, how Logic directly operates in the physical world - indispensible to evaluating the accuracy of any system.

The Geometry of Ideas sees our Universe of energy as a Universe of physical dimensions, making no non-physical distinction between the Ideas used to create logical hypotheses and the physical world the hypotheses describe. Logic and mathematics
assemble physical dimensions into complex structures of related contexts, where each individual context is assembled by its own unique logical operation.

In a Universe of physical dimensions, the logical and mathematical mechanism that connects one context to another is shared physical dimensions – that is, each context contains the same dimension within its construction and shares it with the other context. These shared dimensions are the structural definition of logic and mathematics - and they are also the fabric of meaning and perception. Shared dimensions directly unite Ideas and physical objects. Seen this way, logical and mathematical laws do not “control” energy; rather, logical and mathematical laws are physically connected via dimensional sharing to the energy they are in a relationship with.

Energy completely “obeys” laws within the context the laws are used. Quantum Mechanics and Newton’s Laws are completely accurate within their realms – the key here is that though the laws applied to energy may be different, each and every law valid in each and every context is a logical and/or mathematical object.

 

◄ BACK