title page:	   Chapter 1: Three Preliminary Definitions


	"That which hath been is that which shall be,
		And that which hath been done is that which shall be done;
	 And there is nothing new under the sun."
		      						Ecclesiastes 1.9


Goal: to define division by zero, offer a parallel definition of imaginary
	numbers, and broaden the scope of "mathematically oriented" aesthetics.

Subject Overview: Value, Sign, Modularity, Division, Algebra, Number Bases,
			Examples, Summary.


Value:
	The unknowable is the transcendental nature of reality. Reality includes
the unknowable and the knowable. The knowable is further subdivided into the
unknown, and the known. The unknowable nature of reality makes possible the
infinite range of existence in a state that is both removed from the knowable
and essential to it. The entirety of reality can not be known because only a
finite portion of its structure matches the structure of the human nervous
system. That which does not transcend existential reality can be known by the
human aspect to ourselves, but for knowing anything else we must operate beyond
ourself in a stable manner.
	Within the unknowable is an infinite range of possibilities to
existence. Each and every existence is parametered as a reality structure.
Creation refers to one of the many processes that occur within our particular
reality, but it is a misrepresentation if it is assumed that reality was ever
created. Worlds within our reality are born, live out their development, and
expire, but each parametered reality always was, is, and forever will be because
each is within the context of an absolute, non-changing reference.
	Of this unknowable, the knowable is made; it is its primary substance.
The knowable, in its essential nature as well as in its entirety, can never be
completely known---God, you, me, the universe---will forever remain somewhat of
a mystery, as it should be. For if ever there was a limit to knowledge, we would
expire of fulfillment. But we don't expire; we continue on in ways unimaginable
to us humans.
	In other words, the knowable is essentially transcendental in its most
refined aspect. This transcendental nature to reality is unity. Of this
infinitude, mathematics is born in the language of objectivity---duality:
positive and negative, yang and yin, male and female, day and night, reference
and perspective, point and field, absolute and relative. Trinity expresses our
subjectivity, as exemplified in the previously mentioned three states of
knowing.
	From the standpoint of mathematics, magnitude is born of the
transcendental. Its value cannot begin to be ascertained unless taken to the
field of objectivity: transcendental and relative. Within the relative field,
value can be discerned in contrast to the non-valued transcendental, since it
has limitations: it is composed of finite magnitude. So far, we have two
magnitudes: the unlimited transcendental and the finite relative. The following
section will further dissect this unlimited transcendental into a duality of a
double nature: infinity/positive versus zero/negative.

Sign:
	Within the field of transcendental magnitude, value cannot be known, but
distinctions can be made as to sign. Within our style of reasoning, positive is
a reference and negative is its perspective. Whatever we choose to be the
reference must be the dominating principle, the male/yang, even if exhibited by
a female. (But lest you be dissappointed, humans are far more complex than their
physicality would imply: they are a multi-layered system of male and female
genders at different strata of subtlety, all of which are within an objective
context. More on this later---maybe in another text.) Existence is our relative
reference within a system of thinking in "duals". Accounting would prefer to
make zero the reference, since the starting point of counting is zero. But the
thing being counted is an existential thought, regardless of its "count", and
must be considered as the referential thought with its count being subsidiary.
Thus, a thing being referred to when thinking about it is a positive mental
existence, while its count starts out at zero. Putting attention on something
is an act of positive reference, while its opposite perspective of "what really
may be the case" is reflected in the starting point of its count being
considered as a non-existencial zero.


			   Significant References

Castaneda, Carlos---writings; Matus, Don Juan---discourses
computer architecture(one's compliment arithmetic), modular congruency(number
	theory)
I Ching, "The Chinese Book of Changes"---central theories concerning the
	universe
Lutes, Charlie---lectures
Mahesh Yogi, Maharishi---The Science of Creative Intelligence, lesson 18