The Little Purple Notebook On How To Escape From This Universe
                       Copyleft � 1998 by Maximilian J. Sandor, Ph.D.
                   Subscription Information: Maria Loren [email protected]
                        Website: http://transmillennium.net/pnohteftu/



  Triads and Axiomatic Systems


In the chapter about The Terrible Triangle: Non-Confront, Hope, and Fear  a
basic triad was presented in the form of a triangle.


The vectors in the 'Terrible Triangle' are yielding a self-reinforcing
system, in this case an 'expanding' triangle. This triangle is based on
observation. There are countless other  'triangles' or 'triads' that can be
observed.

For now, let's look at variations of the fear/hope/non-confront triad:



           I                        S                        M
non-confront            fear                     hope
confront                knowledge                action
affinity                reality                  communication
attachment              not-knowingness (avijja) thirst (tanha)
responsibility          knowledge                control


Triads can also be observed in all branches of physics and biology. The
question arises therefore if these triads form instantiations of more basic
'law about laws'.   'Instantiation' here means a rule that has been formed
according to an underlying more general rule.

The most basic set of rules, is often called an 'axiomatic system'. Such a
system (a set of rules) cannot, by definition, be reduced to a system with
less rules. This means, amongst other things, that its elements cannot be
described in less stringent terms, and most importantly, no 'proof' can be
established that the system is true because the enumeration of instances of
an axiomatic system would be boundless task, a classic infinity problem.

However, an axiomatic system can be 'proven' incorrect if at least one
instance of the set of rules can be found that does not follow the rules of
the axiomatic system.

One of the earliest claims of the discovery of a 'basic system' can be
attributed to the Chinese 'I-Ching'. It is often assumed that the I-Ching
describes a 'binary system' and in a very restricted sense this is, of
course, correct. But looking at the structure of formulations of rules
within the text of the I-Ching, it becomes immediately obvious that,
regarding establishment of rules, they really describe triads.

Another ancient triad system is the Indian 'guna' theory. While the I-Ching
system does not 'explain' its triadic structure, the 'guna' theory is more
explicit but still diffuse and not widely known and/or accepted.

In the Western Hemisphere, triads have been postulated by several
philosophers, most notably Hegel. Ironically, as it is the case with the
I-Ching, his triads are generally known as a 'dualistic' system, the
'dialectical process' that later found its way into politics via the
theories of Feuerbach Marx,  Engels, et alii.

The most concise description yet has been done by a German-Argentinian
philosopher with the name Anastasios Nordenholz. Since a description of the
laws of the laws of this Universe can be called a 'Science about Science',
he formed the appropriate name 'Scientologie' and summarized his insights
1934 in a book with the same name. A later revision appeared 1937.

Close to twenty years later, the same name was used to form the foundation
of a Church. But that belongs, of course, into a completely different book
!?!

What does this all have to with 'escaping from this Universe'?

Once the basic 'meta'-law is known,  relationships between any phenomena
can be more easily found or even predicted. This knowledge can be
rightfully called the 'ultimate leverage' in any toolbox of mental gadgets
in philosophy or science.

Let's look at the properties of the left column in the table above:


  * Every item describes a phenomenon that has to do with the degree with
    which an 'individuum' separates itself from the rest of the Universe.
    In 'non-confront'  this separation is much larger than in 'affinity'
    or even 'attachment'.

    Nordenholz called this leg of the 'meta'-triangle the 'First Axiom of
    Scientologie', or the 'Axiom of Individuation'.

  * The middle column in above table shows how a Being 'specifies' what it
    perceives, or, from a different perspective, its perceived 'reality'
    or, from yet another angle, its 'knowledge'.

  * The right column is the linking element in between 'individuation' and
    'specification' and Nordenholz called this the third axiom of
    Scientologie, the 'Axiom of Mediation'. It is here where the 'action'
    is (literally).

As mentioned above, the mechanics for one of the listed instantiation has
been described in more detail in another chapter.

Now, interestingly, two of the triads above appear in Hubbard's (applied)
philosophy that he called 'Scientology', namely the ARC and the KRC
triangles (examples 3 and 5). But, in a strange twist of fate, he didn't
call them instantiations of the 'Axioms of Scientology'. Instead, he made
up two long lists of statements and called those 'The Axioms Dianetics' and
'The Axioms of Scientology'. The number of items on these lists  is in the
100 range and, clearly,  his interpretation of the word 'axiom' is far away
from the traditional philosophical or mathematical context. In especially,
Hubbard's axioms do not form a 'minimal system', a prerequisite for the use
of 'axioms' to begin with.

Gotamo (the 'Buddha') used the triad described in the 4th row in the table
above. He integrated the triads that he used into a larger system of triads
which he developped into the 'Arising depended upon a condition' sequence
on one side and to the 'Eightfold Path' on the 'application' side.

There is much more to find out about these triads: for example, how the
axioms are connected to the basic cycles of any process ('begin' - 'change'
- 'end'), how they are interconnecting with each other, and what geometry
would result from combinations of triads (hint, hint: the interconnections
have to follow the axioms as well or else the axiomatic system would fail).

Last, not  least, and notably, ahem, there is the 'Sandorian System of
Fractal Triads'.

In any case, looking at the meta-laws (or structure) of the Universe
provides a veritable scientific way (in the correct sense of the word
'scientific') of research and discovery.

The results of its application are at times surprising and unexpected but
always revealing and enlightening.

Enjoy your journey of discovery!


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              Copyleft � 1998 by Maximilian J. Sandor, Ph.D.