and
The
Formal And Substantive Foundations
for
The Paradigm of Form and Substance
will be established by:
and
of the
and
of
and
of
of the
Initial Distinction
to be
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.
| Spiritual | ||
| Intellectual | Emotional | |
| Physical |
As
sentient beings,
we experience
the
Substance
of water
as three common
Forms
of water:
Solid ~~~~~~~~~~~~~~~~~~ Liquid ~~~~~~~~~~~~~~~~~~ Vapor
In an existential or Spiritual sense,
| As the
|
is formed, |
| The
|
is experienced, |
| As the
|
is different, |
| The
|
is similar, |
| As the
|
has shape, |
| The
|
has mass, |
| 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.
to allow for the experience of the
and
of
Objects.
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:
.
always requires a definition of
,
and any further attempted definition of
would violate the Convention of Intention.
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
s
of the Intellectual Realm,
s
of the Physical Realm,
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.
s
of Reasoning as follows:
| Spirituality | ||
|
|
|
|
| Empathy |
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.
noun
[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
.
to
comment@formal.com.