Heterarch-Paragraphs: An Aporia

A L L A N D . C O O P

H E T E R A R C H PA R A G R A P H SA N A P O R I A

T H R E E W A Y S T R E E T

Copyright 2013 Allan D. Coop. All rights reserved.

published by three way street

First printing, August 2013

Contents

FitThe First 1

FitThe Second 3

FitThe Third 7

FitThe Fourth 9

FitThe Fifth 13

FitThe Sixth 17

FitThe Seventh 19

FitThe Eighth 23

FitThe Ninth 27

FitThe Tenth 31

FitThe Eleventh 33

FitThe Twelfth 35

FitThe Thirteenth 39

FitThe Fourteenth 41

FitThe Fifteenth 45

FitThe Sixteenth 49

FitThe Seventeenth 53

FitThe Eighteenth 57

FitThe Nineteenth 61

FitThe Twenthieth 63

Mathematics, some believe, is Queen of the Sciences;for others, Art the Harsh Mistress; but my claim isPhilosophy, above all, is King.

Prolog

Procrastination is surely the greatest human weakness. It is procrastination,not money, that feeds the root of all evil. Money is too mean a thing to socompletely contaminate the human imagination. Too transitory, too ephemeral;too shallow, to create the wreckage that surrounds us. But, procrastination . . .

Conversely, creation is surely the greatest of human strengths. Not only themysterious detail of being, but also the obscure source of our own individualbecomings.

When humanity can find God, And God saw every thing that he had made,and, behold, it was very good. The question is, How is it then, that an idea cancome into existence and be manifest in the world; and what is the relationshipbetween these things?

It would seem the preeminent characteristic of all creators to abide withsuch thought and action, and similarly conclude for their work, and, behold, itwas very good.

In the present case, the situation is somewhat different. It is not so much theeventual product of conquered procrastination, but rather the glorious outpouringof prolonged gestation. If not fevered imagination . . .

As you may discover,it is a next attempt to explore such questions . . .

So, we begin.

Imagine a person. A person named David. David West. These are his notes,assembled from within the infinitesimally thin sliver of his existence. Drowned inthe calculus of the present. In perpetual stasis between a rapidly reconfiguredpast and the inconceivable vistas of the future . . .

The fragments that follow contain not just a game, they are a metaphor.As to what precisely the construct is, beyond metaphor; art, science, or merelycommercial conceit, it is left for you, dear reader, to determine . . .

Allan D. CoopJuly, 2013

Canberra, Australia

FitThe First

Starting in the Middle

The foregoing citation can be attributed in part to a series of articlesauthored by Crick, Watson, Wilkins, and co-workers in a 1953 issue of thejournal Nature (volume 171, starting p. 737). Of particular interest is the crypticnote, at the beginning of the second last paragraph on page 737, It has notescaped our notice that the specific pairing we have postulated immediatelysuggests a possible copying mechanism for the genetic material.

Four score and seven years ago our fathers brought forth on this continent, a newnation, conceived in Liberty, and dedicated to the proposition that all men arecreated equal.

As a first step, the immediate concern is to explore the resolution (word,sentence, or paragraph) at which randomly selected text allows an original tobe understood in its entirety. What number of replicates are required to coveran original text, and possibly, are novel meanings hidden in pre-existing wordstrings?

This is the experiment in the art. So much for giving the game away early . . .

Ending at the Beginning

It was an attempt to answer the question, If something is to be done,what restrictions promote manifestation of the particular? The work itself wasborn of discussions with a close friend who at the time attended Art School whenprofessional training in art was still part of the Technical College system.

With hindsight, it is obvious.

3. (e) Left with these existing shapes one from each group was selected on beingrepresentative of that group.

2. (a) Create a grid over each meanings (obtained from 1d) consisting of sixteen(16) similar rectangles in proportion to the original field.

(b) Discover, and record by outlining, which rectangle in the grid contains themost number of lines describing the edges of the recorded shapes (c, s, t, sl).

slab: 1/16triangle: 1/4

What is remarkable, however, is that with the exception of its palette, theaesthetic properties of the image, for all intents and purposes, result from anentirely random process. Every aspect of its creation was arbitrary. The onlyrequirement, intrinsic consistency of process.

This was the antithesis of the mandates of institutional dogma. Or moreprecisely, the opposite of what was allowed (it would seem) in the study ofPrinciples of Design.

Beginning at the End

2. (a) Create a second array that contains as many elements as there arewords in the dictionary.

Coda

To explore this further, it is helpful to turn to cosmology; that study of thephysical universe considered as a totality of phenomena in time and space, todetermine what has been said.

If you have persevered this far, you may now choose to unmask an experi-ential literary metaphor for the heterarchical origin and organization of your ownexistence.

FitThe Second


"The whole of my remaining realizable estate shall be dealt with in the followingway: the capital, invested in safe securities by my executors, shall constitute afund, the interest on which shall be annually distributed in the form of prizes tothose who, during the preceding year, shall have conferred the greatest benefiton mankind. The said interest shall be divided into five equal parts, which shallbe apportioned as follows: one part to the person who shall have made the mostimportant discovery or invention within the field of physics; one part to the personwho shall have made the most important chemical discovery or improvement; onepart to the person who shall have made the most important discovery within thedomain of physiology or medicine; one part to the person who shall have producedin the field of literature the most outstanding work in an ideal direction; and onepart to the person who shall have done the most or the best work for fraternitybetween nations, for the abolition or reduction of standing armies and for theholding and promotion of peace congresses.

It is not so much the contents of these publications that is of interest here,but rather that the first of them, Molecular Structure of Nucleic Acids: A Struc-ture for Deoxyribose Nucleic Acid, is a mere single page in length. It contains12 paragraphs of substantive text and a total of 839 words depending on howyou count. In this respect it is somewhat reminiscent of Lincolns GettysburgAddress delivered almost a century before, November 19, 1863:

This is the experiment in the art. So much for giving the game away early . . .


The idea was to devise a set of rules, or rather a set of restrictions, toguide the automatic creation of a work of art. We saw it as a metaphor for theinstitutional processing we were undergoing. A statement of our understandingabout becoming artists.

It was pretty simple. In a way, just a proof of its own concept. It has sincegrown to be considerably more complex here. Art as recursion. We struggled

to identify what we were doing, and to understand it. We established that ifthe process was internally consistent, the means were good. And the end? IfDuchamp could do so with The Bride Stripped Bare by Her Batchelors, Evenand Given 1. The Waterfall, 2. The Illuminating Gas, then the only limit wasour own imagination.


2. Record the first 20 droppings. Divide each of these 20 droppings with. . . create a grid over the 45 field so that 16 identical rectangles form inproportion to the original (4"5") field.

3. (a) Those gridded squares containing the greater number of lines wereselected.

(b) If there was more than one square containing the same number of lines thenthe number of figures in the field was used to determine which square waschosen.

3. (a) On a separate sheet of card draw up four columns and head them circle,square, triangle, slab.

(b) Trace each of the shapes which are to be found in each of the grid rectanglesselected by 2b.

As obsessive and rudimentary as these Process Restrictions are, it should notbe surprising that for all of our care, they also failed to capture the entirety ofthe work in its final form.

One significant feature was unmentioned. Shape lineage was propagatedby the width of the line that delineated each shape. From the journal, thedimensions (in inches) were recorded as follows:

slab: 1/16


With such thoughts in mind, we proceed:

1. (b) Assign each word in the consequent text stream to an array, such thateach word or symbol occupies consecutive array elements.

2. (b) Count the number of elements in this second array and incrementallyassign the resulting integer count to its elements.

Coda

The most widely accepted cosmological model is frequently referred to asthe standard model of Big Bang cosmology. In this model, vacuum energy or the

dark energy inherent in empty space is proposed to comprise about 68.3% of theenergy density of the cosmos; non-baryonic dark matter is currently estimated toconstitute about 26.8% of the mass-energy density; while the remaining 4.9% iscomprised of all ordinary matter observed as atoms, chemical elements, gas andplasma, the stuff of which visible planets, stars and galaxies; and we, are made.

So, where have the cosmologists led us? We now assume that betweenthem, the vacuum energy and dark matter comprise about 95.1% of a cosmos, ofwhich we have little, if any, understanding. The approximately 5% that exists in arecognizable form, ie. matter like this planet and its associated biota, includingyou and me, is likely only marginally better known.

There is the void. The vacuum space of the cosmos. It is full of a frothing,seething cachophany of high frequency fluctuations in the various fields thatpermeate it. These fluctuations are apparently quantized, and can be interpretedas particles (if you like).

The unusual thing is, the stable associations are not well localized. At leastnot until they interact with a reasonably large collection of associations. Thisreduces the inherent randomness and places constraints on the location and otheraspects of their properties.

Is there ANY structure which emerges from the cosmos that can be employed asan organizing principle?

FitThe Third


For some time now, I have been considering (as a metaphorical example) thefollowing. In 1962 the Nobel Prize in Physiology or Medicine was awarded toFrancis Harry Compton Crick, James Dewey Watson, and Maurice Hugh FrederickWilkins, for their discoveries concerning the molecular structure of nucleic acidsand its significance for information transfer in living material.

All this is, of course, sufficient to reminded us of the adage, a picture isworth a thousand words. Or to quote the original from Napoleon Bonaparte, Unbon croquis vaut mieux quun long discours. And the fact that a single imagemay summarize, encapsulate, or symbolize, an idea, or culture; even an entirecivilization. One wonders which image we inherited; and whether our legacy hasyet been drawn . . .

Or is the problem more profound. And new ideas, genuinely original ideas,predicated on novel linguistic constructs?



A journal was created, from which the following Restrictions are taken:


It is clear that this image is not without merit within the broader context of artas harmless decoration.

What is remarkable, however, is that with the exception of its palette, theaesthetic properties of the image, for all intents and purposes, result from anentirely random process. Every aspect of its creation was arbitrary. The onlyrequirement, intrinsic consistency of process.

This was the antithesis of the mandates of institutional dogma. Or moreprecisely, the opposite of what was allowed (it would seem) in the study ofPrinciples of Design.

Random was bad. And this, despite cultural knowledge our very existence isentirely attributable to chance and happenstance.

That which we do not claim, for reasons that will undoubtedly soon revealthemselves, is for the veracity of any nominated precedent. They are mentionedonly for the purpose of orientation, being arbitrary examples suggested byaspects of your current experience.



4. (b) We call this extracted array containing dictionary words a fit.

Coda

But the very fact we can conjecture in this way does lend support to the ideathat non-physical things may possibly exist. Even if, by their nature they arebanished from rational consideration in particular and from our universe to thefurther reaches of the cosmos in general.

Virtual particles, themselves, are understood to be excitations of underlyingquantum fields. They are transient fluctuations that exhibit many of the charac-teristics of an ordinary particle, but they exist for only a limited time. Althoughnot directly observable, they do leave an observable effect.


FitThe Fourth




But what really must be noted, is the underlying theme here. In a page ortwo at most, with language, it is possible to communicate a profound message. Amessage which may extend from this known point to the unfathomably new.



1. (a) Select a square, triangle, circle, and elongated rectangle. Drop them from3 ft. onto a 4"5" field.

3. (d) Then an average of sides were determined for each one of the new shapes.By doing this select shapes were determined from each group.

2. (a) Create a grid over each meanings (obtained from 1d) consisting of sixteen(16) similar rectangles in proportion to the original field.

3. (d) List each of these new shapes discovered by 3b vertically under eachheading 3a according to whether they were originally a circle, square, triangleor slab.

At the institutional level the image was judged not on its own merits, but byemotional responses to knowledge of the process by which it had been produced.Or as we preferred to think, created.


1. (c) We call the resulting structure a dictionary.4. (a) Using the sample index, extract the given words from the dictionary.

Coda

We consider it axiomatic that the largest cluster of phenomenon is the cosmos.By definition, the cosmos contains all possible phenomena. It is, of course, stillan open question as to whether a phenomenon must physically manifest as aperceptible thing.



The most widely accepted cosmological model is frequently referred to asthe standard model of Big Bang cosmology. In this model, vacuum energy or thedark energy inherent in empty space is proposed to comprise about 68.3% of theenergy density of the cosmos; non-baryonic dark matter is currently estimated toconstitute about 26.8% of the mass-energy density; while the remaining 4.9% iscomprised of all ordinary matter observed as atoms, chemical elements, gas andplasma, the stuff of which visible planets, stars and galaxies; and we, are made.


When considered in its entirety, the complete extent of the cosmos, or,that part of it within our cognitive universe that we perceive to be reality;is sensed as a constellation of parts. It is one function of consciousness tobind this punctate continuum into a unity. To bind it as one seamless andcomprehendible whole through internal cognitive processes; within a domain itselfan unpredictable product of unique local structurings of energy.


FitThe Fifth


Such documents may be compared with the 1,322 word length of the Declarationof Independence; or the 66 words of one of the shortest, the Lords Prayer.



As is widely recognized it describes an impossible situation. However, here asyou may appreciate, we have significantly reduced the complexity of the problem.It is not so much a matter of correctly replicating a corpus of Shakespeare, butrather within one or two pages, or approximately one thousand words, generate anovel idea.



1. (a) Select a circle, square, triangle and an elongated rectangle or slab shape(c, s, t, sl) and cut them out of thin card.

2. (b) Discover, and record by outlining, which rectangle in the grid contains themost number of lines describing the edges of the recorded shapes (c, s, t, sl).


slab: 1/16circle: 3/16

Just for the record the result of this elaborate procedure is now illustrated:


The purpose of the literary overview is to narratively describe the processby which we are proceeding. In providing this step we are distinguished from amultitude of preexisting authors who, for reasons of their own, prefer a literaryexperience that is at once more familiar but nevertheless as we are demonstratinghere, more unnaturally structured.

5. (a) Repeat steps 3(a) & 4(a) until all dictionary words have appeared at leastonce across fits.

6. (a) Recreate heterarchical version of original word text generated for step 1(a)by concatenation of fits found via step 5(a).

Coda

Vacuum energy is an underlying background energy that exists in spacethroughout the entire cosmos. One source of the vacuum energy may be fromvirtual particles which are thought to be particle pairs that blink into existenceand then annihilate in a timespan too short to observe. They are predicted to dothis continually, everywhere, throughout the cosmos. The effect of such fleetingbits of energy has been difficult to quantify and the exact nature of the particles(or fields) that generate vacuum energy, remains a mystery.



When considered in its entirety, the complete extent of the cosmos, or,that part of it within our cognitive universe that we perceive to be reality;is sensed as a constellation of parts. It is one function of consciousness tobind this punctate continuum into a unity. To bind it as one seamless and

comprehendible whole through internal cognitive processes; within a domain itselfan unpredictable product of unique local structurings of energy.

So now we can ask, What is the natural structure of the cosmos?

One hypothesis of the experiment conducted here involves the proposition ofthe idea of heterarchy. To suggest the natural structural organizing principleof the cosmos is not hierarchy, but heterarchy. Further, that such a principlecreates a better model of reality (whatever that may mean) and provides a bettermatch between our inner cognitive world (including its associated physicalframework) and the external physical cosmos within which we are so unavoidablyand inexplicably, possibly even inescapably, embedded.


FitThe Sixth


By way of insight, what might be said about these matters is that until thismoment we have been entranced by the infinite monkey theorem.


For reasons unknown, the totality of the artwork survived. Ultimately, to bepresented in all its obfuscating glory adjacent to, somehow part but not part of,an end of year exhibition, in the foyer of a major downtown building. So much forcontext.


As mentioned, the original artwork has survived along with its accompanyingProcess Restrictions:

1. (c) Record the positions in which they land by tracing around each cardshape.

2. (c) If there is more than one grid rectangle containing the same number oflines then the grid rectangle containing more shapes (c, s, t, sl) is to be chosen.If two or more grid rectangles contain the same number of lines and shapes (c,s, t, sl), then they should all be recorded.

3. (b) Trace each of the shapes which are to be found in each of the gridrectangles selected by 2b.(c) Wherever a shape (c, s, t, sl) passes out of the field (chosen grid rectangle),let the edge of the field become a new side of the shape.

4. (a) Cut out and drop the first horizontal group of four (4) modified shapes (c,s, t, sl, selected by 3b) according to 1bc, but when recording their positions,enlarge each shape by half an inch (1/2) on each side; these then become thenew shapes.


1. (a) Create a linguistically based text.4. (a) Using the sample index, extract the given words from the dictionary.6. (a) Recreate heterarchical version of original word text generated for step 1(a)

by concatenation of fits found via step 5(a).

Coda



A virtual particle that exists for an arbitrarily long time is simply anordinary particle, as the longer a virtual particle exists, the more closely itresembles its ordinary counterpart. As such, there is no absolute distinctionbetween real and virtual particles.

Such phenomena are considered to operate on a cosmic scale and manyobservable physical phenomena are thought to arise from interactions involvingvirtual particles. These include the short-range interactions of the strong andweak forces of the atomic domain, as well as the long range forces of gravity, andelectromagnetism. In short, we may be considered to be embedded in, and evencomposed of, a tumultuous soup of cosmic creation and disintegration.



FitThe Seventh




A mere 270 words. (Depending upon how you count them.)





The beginning was probably an artwork. At most, a series of images. Atleast, a set of rules or restrictions. To my assessors this was not clear. Instead,they were confronted, as it emerged from an untamed place beyond their control.By their reaction, a first experience of metaphor as transformational stimulus.



1. (a) Select a circle, square, triangle and an elongated rectangle or slab shape(c, s, t, sl) and cut them out of thin card.

2. (b) Discover, and record by outlining, which rectangle in the grid contains themost number of lines describing the edges of the recorded shapes (c, s, t, sl).(c) If there is more than one grid rectangle containing the same number of linesthen the grid rectangle containing more shapes (c, s, t, sl) is to be chosen. Iftwo or more grid rectangles contain the same number of lines and shapes (c, s,t, sl), then they should all be recorded.

3. (e) Rule a horizontal line, (across all four columns) below the last shape inthe column with the least number of shapes. Disregard all shapes in the othercolumns below this line.


square: 3/8

This was the antithesis of the mandates of institutional dogma. Or moreprecisely, the opposite of what was allowed (it would seem) in the study ofPrinciples of Design. (b) Assign each word in the consequent text stream to anarray, such that each word or symbol occupies consecutive array elements.


3. (a) Take a random sample of the index array, sort the result, and removeduplicates.


Coda


In these systems there are quasi stable or stable associations of variousproperties. It is for convenience they have been called particles. When theirassociations change, they may change to other stable forms. Other combinationsof unstable properties are typically ignored.


FitThe Eighth








1. Select a square, triangle, circle, and elongated rectangle. Drop them from 3 ft.onto a 4"5" field.

3. (d) Then an average of sides were determined for each one of the new shapes.By doing this select shapes were determined from each group.

(e) Left with these existing shapes one from each group was selected on beingrepresentative of that group.

1. (d) Repeat process b, c twenty (20) times.3. (d) List each of these new shapes discovered by 3b vertically under each

heading 3a according to whether they were originally a circle, square, triangleor slab.




With this more technical description of the restrictions employed here, andwith the exception of the following coda in combination with your participation; inprinciple, this first exercise has transitioned from becoming to being and is nowdeemed complete.

Coda

It also seems reasonable that if a phenomenon is non-physical then inprinciple it belongs to a class of which we dont know we dont know. In otherwords, is it possible to think about something that doesnt exist?

The caveat of may is present only as ignorance precludes its absence. Al-though; taken together, you and I are ultimately just complex waveforms propagat-ing through space-time.

For example, an elementary particle like an electron, is thought to be apoint without structure, but with a spin which is quantized along the axis ofmeasurement, if measurement occurs. In reality, there is no point, there is nospin, there is no electron. These are linguistic terms pinned onto the differentvariables of the equations developed to quantify a descriptive system, and in theprocess help conceptualize what is going on.

In these systems there are quasi stable or stable associations of variousproperties. It is for convenience they have been called particles. When their

associations change, they may change to other stable forms. Other combinationsof unstable properties are typically ignored.

FitThe Ninth






I was recently reminded of the peculiar beginnings of this project. For it isnow more than an idea, more than just words on a page. It is, I have discovered,an actual project; one that has slowly unfolded through time. Recently, a halfperceived cognitive experience has immutably converted itself into the physicalpresence before you and its consequent cognitive impact.



(c) The shapes which were framed in each grid were traced and listed accordingto whether originally triangle, circle, square or slab.

This of course was not the complete story. It would be exceedinglydifficult to generate a copy of the work from a set of restrictions so obviouslyincomplete. Particularly, if they were all that were available to a replicator.

As mentioned, the original artwork has survived along with its accompanyingProcess Restrictions:

2. (c) If there is more than one grid rectangle containing the same number oflines then the grid rectangle containing more shapes (c, s, t, sl) is to be chosen.If two or more grid rectangles contain the same number of lines and shapes (c,s, t, sl), then they should all be recorded.


4. (b) Repeat 4a until all the horizontal groups of shapes contained by 3d areused.

circle: 3/16




With regard to the notion of the naturalness of our exposition, we do claim alineage. It proceeds somewhat loosely through: KantCritique of Pure Reason,CarrollThe Hunting of the Snark, JoyceFinnegans Wake , and BorgesTheLibrary of Babel .

2. (a) Create a second array that contains as many elements as there are wordsin the dictionary.(c) We call this array an index. (Note that two arrays of equal lengthnow exist. One contains a dictionary, the other indices to the words in thedictionary.)


Coda


FitThe Tenth


A mere 270 words. (Depending upon how you count them.)


It was pretty simple. In a way, just a proof of its own concept. It has sincegrown to be considerably more complex here. Art as recursion. We struggledto identify what we were doing, and to understand it. We established that ifthe process was internally consistent, the means were good. And the end? IfDuchamp could do so with The Bride Stripped Bare by Her Batchelors, Evenand Given 1. The Waterfall, 2. The Illuminating Gas, then the only limit wasour own imagination.


With hindsight, it is obvious.3. (c) The shapes which were framed in each grid were traced and listed accord-

ing to whether originally triangle, circle, square or slab.(e) Left with these existing shapes one from each group was selected on beingrepresentative of that group.






Coda


However, it does seem reasonable to assume that a phenomenon can not bepart of the cosmos until it has some physical effect or presence. Only then can itenter into reality as we experience and have come to know it.


The most widely accepted cosmological model is frequently referred to asthe standard model of Big Bang cosmology. In this model, vacuum energy or thedark energy inherent in empty space is proposed to comprise about 68.3% of theenergy density of the cosmos; non-baryonic dark matter is currently estimated toconstitute about 26.8% of the mass-energy density; while the remaining 4.9% iscomprised of all ordinary matter observed as atoms, chemical elements, gas andplasma, the stuff of which visible planets, stars and galaxies; and we, are made.


FitThe Eleventh


But, in a larger sense, we can not dedicate we can not consecrate we can nothallow this ground. The brave men, living and dead, who struggled here, haveconsecrated it, far above our poor power to add or detract. The world will littlenote, nor long remember what we say here, but it can never forget what they didhere. It is for us the living, rather, to be dedicated here to the unfinished workwhich they who fought here have thus far so nobly advanced. It is rather for us tobe here dedicated to the great task remaining before us that from these honoreddead we take increased devotion to that cause for which they gave the last fullmeasure of devotion that we here highly resolve that these dead shall not havedied in vain that this nation, under God, shall have a new birth of freedom andthat government of the people, by the people, for the people, shall not perish fromthe earth.



2. (a) Create a grid over each meanings (obtained from 1d) consisting of sixteen(16) similar rectangles in proportion to the original field.(c) Wherever a shape (c, s, t, sl) passes out of the field (chosen grid rectangle),let the edge of the field become a new side of the shape.


5. (a) Repeat 2ab 3abcd 4ab until there is only one field containing four (4)highly modified shapes (c, s, t, sl).

circle: 3/16

square: 3/8


2. (b) Count the number of elements in this second array and incrementallyassign the resulting integer count to its elements.

Coda


Virtual particles, themselves, are understood to be excitations of underlyingquantum fields. They are transient fluctuations that exhibit many of the charac-teristics of an ordinary particle, but they exist for only a limited time. Althoughnot directly observable, they do leave an observable effect. newthoughtSuchphenomena are considered to operate on a cosmic scale and many observablephysical phenomena are thought to arise from interactions involving virtual parti-cles. These include the short-range interactions of the strong and weak forces ofthe atomic domain, as well as the long range forces of gravity, and electromag-netism. In short, we may be considered to be embedded in, and even composedof, a tumultuous soup of cosmic creation and disintegration.




FitThe Twelfth


Four score and seven years ago our fathers brought forth on this continent, a newnation, conceived in Liberty, and dedicated to the proposition that all men arecreated equal.

So, the question becomes, What are these thousand words, and how canthey most efficiently be found?






Why? you might ask. Because that was the sort of people we were. Againsteverything. Everything, except experiment and play.

1. (d) Repeat process b, c twenty (20) times.

3. (d) List each of these new shapes discovered by 3b vertically under eachheading 3a according to whether they were originally a circle, square, triangleor slab.(e) Rule a horizontal line, (across all four columns) below the last shape inthe column with the least number of shapes. Disregard all shapes in the othercolumns below this line.

triangle: 1/4




5. (a) Repeat steps 3(a) & 4(a) until all dictionary words have appeared at leastonce across fits.

It is for this reason the following more explicit restrictions are given:

Coda





Virtual particles, themselves, are understood to be excitations of underlyingquantum fields. They are transient fluctuations that exhibit many of the charac-

teristics of an ordinary particle, but they exist for only a limited time. Althoughnot directly observable, they do leave an observable effect.



FitThe Thirteenth





For reasons unknown, the totality of the artwork survived. Ultimately, to bepresented in all its obfuscating glory adjacent to, somehow part but not part of,an end of year exhibition, in the foyer of a major downtown building. So much forcontext.


3. (b) If there was more than one square containing the same number of linesthen the number of figures in the field was used to determine which square waschosen.

1. (a) Select a circle, square, triangle and an elongated rectangle or slab shape(c, s, t, sl) and cut them out of thin card.(c) Wherever a shape (c, s, t, sl) passes out of the field (chosen grid rectangle),let the edge of the field become a new side of the shape.

circle: 3/16




So here we are, ready to proceed. Initially, a more literary narrative overviewis presented. It describes the progenitors of this given experiential incident.This is then followed by a more technically explicit description that is actuallyresponsible for the substantive details.


3. (a) Take a random sample of the index array, sort the result, and removeduplicates.(b) We call this array a sample index.


Coda



FitThe Fourteenth


On November 27, 1895, Alfred Nobel signed his third and last will. In part itstated:





It was the early 1970s, possibly 1974. Mark, lets call him Mark as inC*****, and I spent two weeks discussing the idea of creating a work. It was tobe used as a tool to deconstruct the instutionalizing processes we were beingsubjected to during our education as artists. We aimed to fight back at the

minds of our teachers with the very tools we were being trained to employ. In asmany ways as possible.

A journal was created, from which the following Restrictions are taken:1. Select a square, triangle, circle, and elongated rectangle. Drop them from 3 ft.

onto a 4"5" field.3. (b) If there was more than one square containing the same number of lines

then the number of figures in the field was used to determine which square waschosen.

2. (b) Discover, and record by outlining, which rectangle in the grid contains themost number of lines describing the edges of the recorded shapes (c, s, t, sl).

3. (b) Trace each of the shapes which are to be found in each of the gridrectangles selected by 2b.(e) Rule a horizontal line, (across all four columns) below the last shape inthe column with the least number of shapes. Disregard all shapes in the othercolumns below this line.


square: 3/8



1. (a) Create a linguistically based text.2. (b) We call this array a sample index.


Coda


So, where have the cosmologists led us? We now assume that betweenthem, the vacuum energy and dark matter comprise about 95.1% of a cosmos, of

which we have little, if any, understanding. The approximately 5% that exists in arecognizable form, ie. matter like this planet and its associated biota, includingyou and me, is likely only marginally better known.

FitThe Fifteenth


On November 27, 1895, Alfred Nobel signed his third and last will. In part itstated:


The goal is not so much to suggest that in practice we are not monkeys, butrather, there must be process restrictions that either enable or allow transcen-dence of the simian state. If such restrictions or rules can exist, and we ourselvesare the proof of concept of that, then in principle the possibility of their creationor discovery should also exist.



I was recently reminded of the peculiar beginnings of this project. For it isnow more than an idea, more than just words on a page. It is, I have discovered,an actual project; one that has slowly unfolded through time. Recently, a halfperceived cognitive experience has immutably converted itself into the physicalpresence before you and its consequent cognitive impact.


1. (b) Drop each of these shapes (c, s, t, sl) from a height of three feet (3 ft) ontothe same four by five inch (4 ins5 ins) field.

slab: 1/16circle: 3/16square: 3/8



1. (c) We call the resulting structure a dictionary.2. (b) Count the number of elements in this second array and incrementally

assign the resulting integer count to its elements.4. (a) Using the sample index, extract the given words from the dictionary.

(b) We call this extracted array containing dictionary words a fit.


Coda




For example, an elementary particle like an electron, is thought to be apoint without structure, but with a spin which is quantized along the axis ofmeasurement, if measurement occurs. In reality, there is no point, there is nospin, there is no electron. These are linguistic terms pinned onto the different

variables of the equations developed to quantify a descriptive system, and in theprocess help conceptualize what is going on.


FitThe Sixteenth







For reasons unknown, the totality of the artwork survived. Ultimately, to bepresented in all its obfuscating glory adjacent to, somehow part but not part of,

an end of year exhibition, in the foyer of a major downtown building. So much forcontext.

It was the early 1970s, possibly 1974. Mark, lets call him Mark as inC*****, and I spent two weeks discussing the idea of creating a work. It was tobe used as a tool to deconstruct the instutionalizing processes we were beingsubjected to during our education as artists. We aimed to fight back at theminds of our teachers with the very tools we were being trained to employ. In asmany ways as possible.




(b) If there was more than one square containing the same number of lines thenthe number of figures in the field was used to determine which square waschosen.

3. (c) Wherever a shape (c, s, t, sl) passes out of the field (chosen grid rectan-gle), let the edge of the field become a new side of the shape.(d) List each of these new shapes discovered by 3b vertically under eachheading 3a according to whether they were originally a circle, square, triangleor slab.


circle: 3/16square: 3/8



The purpose of the literary overview is to narratively describe the processby which we are proceeding. In providing this step we are distinguished from amultitude of preexisting authors who, for reasons of their own, prefer a literary

experience that is at once more familiar but nevertheless as we are demonstratinghere, more unnaturally structured.

1. (c) We call the resulting structure a dictionary.2. (a) Create a second array that contains as many elements as there are words

in the dictionary.3. (a) Take a random sample of the index array, sort the result, and remove

duplicates.4. (b) We call this extracted array containing dictionary words a fit.6. (a) Recreate heterarchical version of original word text generated for step 1(a)

by concatenation of fits found via step 5(a).

It also seems reasonable that if a phenomenon is non-physical then inprinciple it belongs to a class of which we dont know we dont know. In otherwords, is it possible to think about something that doesnt exist?

Coda



In these systems there are quasi stable or stable associations of variousproperties. It is for convenience they have been called particles. When theirassociations change, they may change to other stable forms. Other combinationsof unstable properties are typically ignored.


FitThe Seventeenth








(d) Then an average of sides were determined for each one of the new shapes.By doing this select shapes were determined from each group.

3. (b) Trace each of the shapes which are to be found in each of the gridrectangles selected by 2b.(d) List each of these new shapes discovered by 3b vertically under eachheading 3a according to whether they were originally a circle, square, triangleor slab.





With regard to the notion of the naturalness of our exposition, we do claim alineage. It proceeds somewhat loosely through: KantCritique of Pure Reason,CarrollThe Hunting of the Snark, JoyceFinnegans Wake , and BorgesTheLibrary of Babel .


1. (b) Assign each word in the consequent text stream to an array, such thateach word or symbol occupies consecutive array elements.(c) We call the resulting structure a dictionary.

2. (c) We call this array an index. (Note that two arrays of equal lengthnow exist. One contains a dictionary, the other indices to the words in thedictionary.)

Coda

However, it does seem reasonable to assume that a phenomenon can not bepart of the cosmos until it has some physical effect or presence. Only then can it

enter into reality as we experience and have come to know it.





FitThe Eighteenth








With hindsight, it is obvious.2. Record the first 20 droppings. Divide each of these 20 droppings with

. . . create a grid over the 45 field so that 16 identical rectangles form inproportion to the original (4"5") field.

3. (c) The shapes which were framed in each grid were traced and listed accord-ing to whether originally triangle, circle, square or slab.

This of course was not the complete story. It would be exceedinglydifficult to generate a copy of the work from a set of restrictions so obviouslyincomplete. Particularly, if they were all that were available to a replicator.



circle: 3/16triangle: 1/4



That which we do not claim, for reasons that will undoubtedly soon revealthemselves, is for the veracity of any nominated precedent. They are mentionedonly for the purpose of orientation, being arbitrary examples suggested byaspects of your current experience. (c) We call the resulting structure a dictio-nary. (c) We call this array an index. (Note that two arrays of equal lengthnow exist. One contains a dictionary, the other indices to the words in thedictionary.)


Coda

A virtual particle that exists for an arbitrarily long time is simply anordinary particle, as the longer a virtual particle exists, the more closely itresembles its ordinary counterpart. As such, there is no absolute distinctionbetween real and virtual particles.



FitThe Nineteenth



Now we are engaged in a great civil war, testing whether that nation, or anynation so conceived and dedicated, can long endure. We are met on a greatbattle-field of that war. We have come to dedicate a portion of that field, as a finalresting place for those who here gave their lives that that nation might live. It isaltogether fitting and proper that we should do this.

The point being that a document containing approximately 1,000 words, by itsresonant effects, may be sufficient to exert a profound influence on human thoughtand deed. Ultimately, the human condition might even permanently alter due torippling interactions within belief, philosophy, institutions, and their associatedcultural trappings.


It was the early 1970s, possibly 1974. Mark, lets call him Mark as inC*****, and I spent two weeks discussing the idea of creating a work. It was tobe used as a tool to deconstruct the instutionalizing processes we were beingsubjected to during our education as artists. We aimed to fight back at theminds of our teachers with the very tools we were being trained to employ. In asmany ways as possible.


(c) The shapes which were framed in each grid were traced and listed accordingto whether originally triangle, circle, square or slab.

(e) Left with these existing shapes one from each group was selected on beingrepresentative of that group.

1. (d) Repeat process b, c twenty (20) times. (e) Rule a horizontal line, (acrossall four columns) below the last shape in the column with the least number ofshapes. Disregard all shapes in the other columns below this line.



2. (b) Count the number of elements in this second array and incrementallyassign the resulting integer count to its elements.(c) We call this array an index. (Note that two arrays of equal lengthnow exist. One contains a dictionary, the other indices to the words in thedictionary.)


It is for this reason the following more explicit restrictions are given:

Coda


The caveat of may is present only as ignorance precludes its absence. Al-though; taken together, you and I are ultimately just complex waveforms propagat-ing through space-time.




FitThe Twenthieth





The goal is not so much to s

Heterarch-Paragraphs: An Aporia

Documents

Transcript of Heterarch-Paragraphs: An Aporia