Formal And Substantive Foundations
The Paradigm of Form and Substance will be established by:
This triad of strong of Dialectics spans the The Realms of Consciousness, while preserving the import of Spiritual Objects across the Realms. Thus, this trinity may serve as a touchstone reference for all Other Dialectic Distinctions.
For a deeper understanding how Objects have been experienced, by our consciousness over the ages, the reader is invited to explore the history of The Clarification of Form and Substance.
the Substance of water
as three common Forms of water:
Solid ~~~~~~~~~~~~~~~~~~ Liquid ~~~~~~~~~~~~~~~~~~ Vapor
In an existential or Spiritual sense,
|As the||is formed,|
|As the||is different,|
|As the||has shape,|
|As the||is correlated approximately as macroscopic energy levels,|
|The||is measured precisely as 2 hydrogen and 1 oxygen atoms,|
The above series of and span the The Realms of Consciousness and provides a specific example of the experience of and in each of the Realms.
This distinction of and strictly conforms to The Canonical Form of Distinction, as detailed in the treatment of Non-Numerical Arithmetic. As such, it establishes a touchstone for the conformity, with reasoning by , of all Other Dialectic Distinctions.
In turn, this allows the formalism of and to be applied to any Object, in any Realm. Understanding the and of an Object can provide great insight into our possible experiences of an Object.
In this task, The Homeless Mathematician is confronted with a "Which came first, the chicken or the egg?" problem. Although the foundations arise from drawing a single distinction, without the foundations, it is meaningless to draw a distinction.
Ultimately, the validity of The Formation of the Formal Form rests on its conformity to The Canonical Form of Distinction, as detailed in the treatment of Non-Numerical Arithmetic. However, as an Intellectual or Physical Object, no arithmetic can manifest until the Formal Form has manifested.
The Homeless Mathematician notes that, although he was able to nullify the recursive element of the original "chicken or egg?" problem, the recursive element persists. This is relatively free from contradiction with, or conforms to, the of The Canonical Form of Distinction. This is a direct and immediate validation of the Formal Form, but recursively forces a treatment of .
Fortunately, was left undefined, with a single exception: the definition of as the of Distinction. To assure that is not otherwise specified, two conditions are imposed:
With Reasoning by , the of any Realm of Consciousness may be seen as forming a weak or strong with any other .
As the and of Objects is clarified, the strength and utility of such is revealed. The strong between
The Homeless Mathematician begins with the Spiritual Realm as being:
As such, direct sensory experience of the Spiritual Realm is meaningless. In order to experience itself, or anything else, this Spiritual Realm must draw an existential distinction between "being" and "becoming".
The Homeless Mathematician takes this act of drawing a distinction as the of Reasoning by . As such, Reasoning by is an intrinsic Object of the Spiritual Realm.
However, it is necessary to maintain a balance among any Objects of the Spiritual Realm. Only then will the Objects produce a net effect which is null, and which can not be directly experienced.
The balance is achieved with Reasoning by as another intrinsic Object of the Spiritual Realm.
Note well how and correspond to the representational s, while Spirituality and Empathy correspond to the experiential s. Ironically, the mathematical interpretation refers to the representational s as the "real roots", while the experiential s are called the "imaginary roots".
There is an elegant subtlety in that Reasoning by Spirituality is both the source and a result of the Initial Distinction in The Formation of the Formal Form. This serves to import a recursive element, but also obscures the full spectrum of the Initial Distinction by an apparent collapse of four s into three.
As a sentient being, The Homeless Mathematician constructs the formal framework for the non-Spiritual Realms as follows:
( also called The Void, or NoThing ), until,
Reasoning by , I draw a Distinction;
Reasoning by , I erase the Distinction.
This produces a Zero-Sum Game and represents a of Void without .
Reasoning by Empathy,
I empathize with this of The Void
to experience the of The Void.
This allows me to experience the and of the Void.
[Middle English, example, from Late Latin parad ì gma, from Greek paradeigma, from paradeiknunai, to compare : para-, alongside. Also, para-1 + deiknunai, to show.]
The Formal Paradigm of essentially fixes the Physical experience of as what can be measured and quantified. At first, this may seem very limiting and the ultimate in Descartian arrogance. In fact, all it really does is to shift into the realm of , and there are few limitations on . This allows us to deal with on the Physical Realm in a precise, knowledgeable, and reliable manner. What remains aside from the is pure and may be viewed in terms of conformity to canonical .