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<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">Mombering System 1. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif"><span> </span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">1. Symbols and numbers<span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">If the symbols move in a system based on symbols
representing relations among facts, we speak of a <b><i>moving </i></b>collection
of symbols, which one could call <b><i>mombols</i></b>. To be practical,
historic precedent has established the habit of using numbers, if possible
natural numbers, as symbols. Pythagoras has begun evolving his observation by
regarding triangles, not by regarding numbers. Any two numbers have their
squares, and the sum of these is a part of the package – there is nothing
clever or original in adding up the squares of two numbers. The intellectual
exercise comes from visualising a right-angle triangle and compare the lengths
of the sizes, expressed as surfaces of squares. The symbols, their places and
distances are to be understood, not the numbers to which they translate. The
translation into numbers comes at a second stage, for Pythagoras to validate
his idea, that the squares could turn out to be equal, for us, to use the
validated idea and continue with some calculations. The practicality comes from
the knowledge, that the relations among facts depicted in the concept are
indeed there and valid in exactly such a fashion as implied. The idea,
expressed by symbols, is validated on the facts, expressed by numbers. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">The subservient nature of the numbers to the ideas,
expressed by symbols, is even more visible on Pythagoras’ observation of
numeric relations among the musical pitches. In a similar fashion, Mendel has
pointed out observed regularities of a statistical nature, without using the
numbers as a conveyor of meanings. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">The numbers come in in a later phase, once one has created a
mental space, in which mental images are placed, and one wants to understand,
what kind of relation among facts is that, what the numbers shall validate. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif"><span> </span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">2. Moving symbols<span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">It is traditional to distinguish between object and
relation. Wittgenstein speaks about Sachverhalt and Zusammenhang (elementary
logical fact and relationship), although avoiding contrasting the two ideas.<span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">It may be, that further generations will put the dichotomy
in clean clothes. We have to use the traditional concepts of places and paths,
of things that stand still or move. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">Maintaining the dichotomy makes the concept simpler, while
not extinguishing hope, that in a later, integrative step, attention will turn
more to densities and predictabilities, which refer to both classes of
concepts: that what is the case and that what can be the case. The Zusammenhang
states that possibly a Sachverhalt exists that connects those elements that are
presently constituents of the first, basic, Zusammenhang of the Sachverhalt. (Sachverhalt:
Mary and Joe are colleagues. /This is Zusammenhang 1/. Zusammenhang: Are Mary
and Joe lovers? /This is Zusammenhang 2/. If there exists a public word that
describes two that are colleagues and lovers, then the Sachverhalt named by
this word exists, and Zusammenhang 2 collapses into a property of the name that
describes two that are colleagues, with the additional specific sub-meaning,
that the two are concurrently also lovers.)<span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">What happens on a place is inseparable to who and how often
visits that place. Tradition has taught us to imagine places as empty, and
uniformly so. We would like to soften this uniformity up somewhat. Let us
imagine railway stations (or airports). The traffic hub may not even be existing
on the maps of ICE trains, while it keeps a reasonable traffic of the region
alive. The solidity and intensity of existence of a railway station is quite
well described by the list of trains halting or passing through. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">The symbols are well-ordered by their nature. We imagine
such symbols on objects that make the objects easily distinguishable, while
being inclusive, just and non-discriminatory. There is no discernible
difference between the ideas: object and symbol. If we imagine <i>2*n </i>players
of basketball (football, rugby, etc.) teams, we can use any of the properties
of the players, be it the number on their shirt or their hair or eye colour or
weight in kg. The symbol we use stands for the athlete. (At a later step, we
shall validate our concepts by assigning numbers to represent the symbols.)<span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif"><span> </span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">3. Where is he now?<span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">Each athlete has a rank according to his defensive and
offensive talents. If the strategy is to avoid defeat, the ranking arising from
the defensive dexterity will confer social status and determine the place in a
linear line-up. If the team plays for victory, the offensive ability will
determine, which athletes are the tact-givers for which supporting players. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">If the field is square, and the axes are graded on offensive
vs. defensive ability, then each athlete will have exactly one place on the
field while the action is idle. There is a natural arrangement of players of a
team, where they stand if the field is square and the players carry the symbols
of their rank in the two properties that are the principle behind the axes. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">If the playing field is in West -East oriented, Team West is
in a maximally defensive position, if its players are lined up from the middle
line towards West, the most talented defender being the last, spaced equally in
<i>n</i> consecutive slices of North-South territory. If Team West attacks, its
members will create <i>n </i>slices of territory of West -East orientation; here
a left and a right attacking strategy can appear, the best attacker being once
on the Northmost, once on the Southmost edge. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">If there is neither attack nor defensive action, the players
will occupy their natural places, that is, such a place of which the
coordinates agree with the ranks the players have as offensive or defensive
players. (Player A is the 4<sup>th</sup> in offensive and the 8<sup>th</sup> in
defensive: he will stand when idle on position <i>x = 4, y = 8.</i>) <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif"><span> </span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">4. Where should he be?<span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">Relentless as the opponent may be, he also has his dark
hours (insert effects arising from the rotation of the Earth or from the
effects of the gravitational pull of the Moon here for periodic, rhythmic,
cyclic changes). This is the moment for us to begin to reorganise into the attacking
formation. As things actually stand, the ultimate, absolute, ideal formation
shall only very rarely be actually achieved, as during the time the reorganisation
takes place, a new strategic situation may have evolved. Our players will still
be on their way to their ideal position if Fall Barbarossa is declared, but
Fall Overlord will make necessary that alternative concepts of order shall be brought
into existence. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif"><span> </span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">5. With whom does he evacuate into the new order?<span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">Polygons appear by themselves on the <i>(x,y) </i>surface.
The players can namely not directly access their places, there being no direct
path there, if that place is occupied by a different player who has also to
move. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">Cycles are to the <b><i>mombering system </i></b>exactly
like what wheels are to transportation. The cycle connects elements that do not
seem to be particularly connected. If we lived, as a society, in a completely
sustainable world, where nothing ever gets lost, but exchanged by other
individuals – then we would have a more familiar approach to cycles. (Example:
collection of people who have used the same 50 € bill. Some experimental
film-makers have shown communalities among otherwise unrelated-appearing situations:
stories of people using a taxi, stories happening at meal-time, etc.) A cycle
is an ad-hoc assembly of individuals who have the same goal: that a new order
come into existence. They make up a caravan, regarding their Sachverhalt
properties of symbols; and concurrently they make up a path, regarding the
positions they subsequently gain from each other. The members of a cycle push
their predecessor out of its place, thus causing it to do the same to its
predecessor, and so forth until the last of the cycle has achieved that place
that the first had vacated <i>k </i>steps ago. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">The cycle is a string and a path. It has a numeric width,
length, thickness and sections. One can imagine this pulsating artery – or standing
wave – to be sliced into moments, where the travellers have arrived and no one
is between shelters, and such, where that what travels, counts: there are many
ways of assigning concepts to symbols that move.<span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif"><span> </span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;line-height:107%;font-size:12pt;font-family:"Times New Roman",serif">The idea is that we live in a whacky, shaky, instable
compromise, which can derail quite easily. If the story to be told by moving
the puppets of the story can gain credibility, it can only do so by narrating
dramas that are of interest to the public. Order is such a theme that is juicy
to discuss. The traditional view is very republican and egalitarian: each element
being equal, there can arise no ranking problems. The <b><i>mombering system </i></b>stands
and falls with order and ranking, and its wheels, cogs and transmission belts
are cycles. Cycles appear when assemblies are reordered. Cycles create a web
among symbols and their places.<span></span></p>
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