-------- Original Message --------
Subject: [Fis] Step Twelve of Learnt to Count in Twelve Easy Steps
Date: Fri, 22 Feb 2013 14:47:22 +0100
From: Karl Javorszky <[email protected]>
Reply-To: [email protected]
To: fis <[email protected]>, "Pedro C. Marijuan"
<[email protected]>
*Step Twelve of Learn to Count in Twelve Easy Steps *
What has happened previously (pls. see http://32o2m99e.utawebhost.at)
/Step Eleven /
The accounting methods used by Nature while translating one- and
more-dimensional logical descriptions into each other, while doing
Genetics, are tautological. The mechanics of matching places and amounts
becomes accessible after improving on methods one has learnt at
elementary school. The cuts separating the summands in /a+b=c/ serve as
tools to identify and distinguish logical entities with higher precision
than usual traditionally. We distinguish corners of triangles by their
coordinates and by means of the strings that run thru them.
*Step Twelve*
/Standard Triangles as Implications of Order/
No logical entity can exist without its logical surroundings, against
which it is delineated and in which it receives its properties. By means
of the strings going thru 1, 2 or 3 of its corners, each standard
triangle is connected to a varied collection of elemental logical facts
that set it into a relation to each and every addition that is in the
collection of the 136 additions discussed here. The unit reorders – and
the space relations they create - are wholly integrated within, and
completely immersed in the totality of logical statements /a+b=c/. The
Euclid space is stable, with rectangular axes that go in steps of 1 from
1 to 136. On a Venn diagram drawn on 3 sets, we distinguish and name the
individual corners of the triangle. This brings forth a few dozen of
distinguishable logical entities that can match in differing ways – or
not – to each other. The Table implicates a logical space, with some
furniture elements. To comply with neurological preferences in terms of
units, we shall circumscribe a class of logical entities that can be
visualised as solid bodies in a Newton space, like atoms, molecules and
the like.
/Logical Archetypes: Spatially Referenced Standard Reorders /
In the Table there are 118 cases, for which each holds, that the sum of
the lengths -of movements during reorders - of 2 of its sides is at
least equal to the length of its 3rd side. (pls. see 12.num.1) Please
note that: *i.* a differing permutation of the first-level arguments
{a,b,c,k,u,t,q,s,w} may well bring forth a differing number of such
standard reorders; and *ii. *the 8 versions of the central element are
for formal reasons included in this collection. We propose to call the
geometrically representable standard reorders /logical archetypes,/ as
they exist as an implication of the logical principles {+}, {<,=,>} on a
multitude of natural numbers, and they have a “real”, “tangible”
existence in space, as they circumscribe a “solid” point with definite
coordinates.
/Periodic Table of Logical Archetypes/
It appears that the Logical Archetypes (LA) can be grouped according to
several principles. We propose to use as one of the main ordering
criteria for tabulating the LA their level of iso-location on the plane
K_Q, that is: /b-2a/ vs./ a-2b/. (Pls. see 12.num.2) The number of units
being at any moment “in” this plane is comparable to the concept of
atomic mass [as a multitude of units]; the duality of the LA is caused
by their origin in the two Euclid-type spaces and mirrors concepts
relating to ideas of protons and neutrons. There appear diverse kinds of
miss-matches between the amounts being connected to a spatial position
and the spatial distances covered by the strings going thru the
triangles. These we propose to call /telecratic effects/. The telecratic
effects can be seen as a tendency of accounting consolidation into a
collection of constraints on amount per distance resp. distance per
amount. If either {+} or {<,=,>} are not obeyed, the system breaks: that
is the subject of Physics and Chemistry. Genetics works under ideal
circumstances, where all logical relations are self-referencing.
/Logical Positivism /
The Twelve Easy Steps continue the work of Wittgenstein by sharing the
understanding that it is possible to create a picture of the world. The
picture will be restricted by the grammatical rules of the language, but
notwithstanding the perimeters, beyond which not rational but emotional
communication and art can be done, the inside, what is expressible, is
communicable clearly and completely. Although nothing new and surprising
can be said in a logical discourse, because it is by its nature
tautological, that what can be said, is coherent, clear and
self-explaining. The surprise we experience on understanding the Twelve
Easy Steps will be about ourselves, not about Nature; how well we were
able to picture Nature, even without attention to the properties of the
summands; how far we got. The system worked quite well for all the
things but the living. May the introduction of the Ordering Machine to
applied sciences be productive, a tool for great works.
/Information and the Eyes of the Beholder /
The concept of information connects that what is emotional with that
what is rational. The human neurology functions well if it is neither in
sensory deprivation, nor under overload, and there is a degree of
novelty within a relatively predictable continuity. We share many
connotations of the word information, but in logical language to
transmit that what composers, dancers, poets or painters communicate,
appears to be rather cumbersome.
Restricting the denotation of information to its technical core would
kill an important aspect of information. The brain needs its rewarding
effects of emotional-neurological nature. The connotation of /being new/
of information makes the idea deeply connected to the individual’s
history. “This is new to me” is equivalent with “This is information for
me”. The rooting of the understanding of a concept in individual
histories makes that concept unsuitable for a logical discourse. There,
a concept’s meaning and its properties are indifferent to the learning
history of the individual.
The usage of {+} and {<,=,>} concurrently on a collection of additions
is information as long as it is new to the user. The tautologies on
which the accounting mechanism turns have always been there and have not
been discovered, rather: un-covered in this treatise. Being tautologies,
the logical statements about what is where and when, are outside of
time; timeless. The information content is not a description of the
matter discussed, but of the person realising. Information is suitable
as a unit of an experience, as contrasted to a thought. The fact of the
matter remains, the information content diminishes on having become a
basis for predictions by accommodation. They say: "There are no old
jokes with long beards, only old men with long beards. For a newborn,
every joke is new."
--
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