Auto Gnosis

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Winiwarter, P. , AUTOGNOSIS: the theory of hierarchical self-image building systems

AUTOGNOSIS:THE THEORY OF HIERARCHICAL SELF-IMAGE BUILDING

SYSTEMS

Peter Winiwarter Bordalier Institute

412! Boursay, "rancewiniwarter#bordalierinstitute.com

www.bordalierinstitute.com

ABSTRACT

What is the meta$hysical $aradigm of %eneral &ystems 'heory( )naly*ing the ma+or worsin %&' we find that a common feature is the ty$e of uestions ased. )$$lying conce$ts tothemseles, or asing self-referential recursie uestions distinguishes systems thining fromthe classical scientific )$$roach. Based on the conce$t of self-referential recursion we

$ro$ose a $roto-world hy$othesis sering as conce$tual framewor for the construction of/reality/. 'his ultimate $rinci$le is meta$hysical, in the sense that it can0t be erified nor falsified. )ny /reality/ is an autognostic $rocess which can be described as a hierarchical self-image building system consisting in the co-eolution of local and global nested hierarchies:

n each hierarchical leel the local $henomena ma$ or com$ute $ut together3 local /images/of the global $henomena in which they tae $lace. %lobal $henomena on the other hand ma$the ensemble of local $henomena into a global /field/- or global /image/, which differentiatesitself under the influence of the contained local $henomena. 'he organi*ational categories ofthe local bottom-u$ integration and the global to$-down differentiation are isomor$h on eachhierarchical leel. anguage and formal systems are s$ecial cases of hierarchical self-image

building systems based on the same organi*ational categories as all other natural self-organi*ing systems. 'his organi*ational isomor$hism e5$lains the e$istemological $u**le,why we can describe natural $henomena in terms of language and formal systems.

1. INTRODUCTION

6ant said about meta$hysics that it was lie a dar ocean without shore and without light-house a good reason for not taling about it73. n the other hand the solitary thiner of6oenigsberg also said that if you drie meta$hysics out of the front door, it immediatelyenters through the bac door.8ost scientists today $retend to be unaware of this fact: science is their business9 $hiloso$hyand es$ecially meta$hysics are resered to a few $rofessional /logogra$hs/ as Plato, calledthem3. atural scientists write about $hiloso$hical uestions, only after their retirement or

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The computability of computation? )bstract automata, 'uring, 1=FA3. G

Hybernetics introduce self-referential recursie thought into the natural sciences:The control of control? Hybernetics, Wiener, 1=4>3.

ecursie hierarchical leels are introduced by 6oestler.The hierarchy of hierarchies? <olons, 6oestler, 1=A3.

In the seenties self-referential thought emerges in nearly all scientific disci$lines.The distinction of distinctions? "orm, Brown, 1=A=3.The cycle of cycles? <y$ercycles, ;igen, 1=13.

The formation of forms? Hatastro$hes, 'hom, 1=23.The perception of perception? ;igenbehaiour, on "oerster, 1=F3.The ordering of order? &$ontaneous &ocial rders, on <aye,1=?3The reality of reality? Hommunication, Wat*lawic, 1=A3.The structuring of structures? @issi$atie &tructures, icolis and Prigogine, 1=3.The organization of organization? &ynergetics, <aen, 1=3.The nature of nature? Hom$le5ity, 8orin, 1=3.The boundary of boundaries? "ractals, 8andelbrot, 1=3.The dimension of dimensions? "ractal dimensions, 8andelbrot, 1=3.The system of systems? iing &ystems, 8iller, 1=>3.The production of production? )uto$oiesis, Darela, 1==3The loop of loops? 'angled <ierarchies, <ofstadter, 1==3.

In the eighties emerge the first tentaties to synthesi*e a co-herent self-referential recursieworld-iew:The life of life? /a 8ethodeJ for thining com$le5ity, 8orin,1=>!3. .The evolution of evolution? 'he self-organi*ing Knierse, Lantsch, 1=>!3.&ummari*ing this aleidosco$e of self-referential thought we $ut forward a general

$ro$osition.

Pro$osition 2: The application of a concept to itself opens a new conceptual dimension.

)bbot0s 1=?23 noel / Flatland / written more than a century ago illustrates our $ro$osition.iing in one-dimensional Lineland the conce$t of a /line of lines/ o$ens the access to a two-dimensional Flatland of a $lane. iing in "latland the conce$t of a /circle of circles/ o$ensthe access to a three-dimensional Sphereland . In any of our cited e5am$les the a$$lication ofa conce$t to itself /creates/ or generates a new dimension of conce$ts.

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2. 'he $roto-world hy$othesis of &tructuralism can-be resumed as a $rocess of to$-downdifferentiation during which a nested hierarchy of holons /demerges/ or differentiate.Both ty$es of answers struggle with the $roblem of an /ultimate/ hierarchical leeltruly elementary $articles at the bottom or unierse at the to$3.

3. rganicism $retends to resole the $roblem in $ro$osing a synthesis of ;mergentismand &tructuralism, but no clear indications are gien of how to conceie aneolutionary or creatie $rocess in terms of /organic wholeness/.

'o our nowledge Lantsch 1=>!3 can be considered as the first systems thiner who clearly $ointed out the $arallels of macrosco$ic and microsco$ic eolutionary $rocesses on all leelsof today0s descri$tion ranging from astro$hysical oer bio-chemical, biological u$ to socio-

cultural and scientific eolution3. <e s$eas of a *o-!+ol,t#o o M)*ro-!+ol,t#o )dM#*ro-!+ol,t#o, identifying three stages on each hierarchical macro and micro leel:re&ligio, auto&poiesis, and auto&catalysis. <oweer, no clear conce$tual descri$tion is gienfor the mutual interde$endence of 8acro-and 8icro-eolution during the $rocess of self-organi*ation.

(.( R!*,r"#+! proto-world hpoth!"#"

Based on an initial s$eculatie intuition of a uniersal algorithm for a bootstra$$ing or self-organi*ational $rocess Winiwarter, 1=>F3 we hae shown in an em$irical study Winiwarter,1=>?3, that $ractically all autonomous or uasi-autonomous systems reeal an isomor$hicstatistical structure if analy*ed simultaneously on three hierarchical leels system,

subsystems, elementary elements3.'his isomor$hic structure of $o$ulation-si*e distributions of subsystems is found for theunierse, for clusters of gala5ies, for gala5ies, for stars, for $lanets, for the earth crust, theocean and the atmos$here, for ecosystems, for biological families, for biological s$ecies, forlocal clusters of indiiduals of any biological s$ecies including homo sa$iens, for the $oliticalworld, for nations, for enter$rises, for cities, for indiidual incomes, for s$eeches and te5ts inall languages of all times and for scientific $roduction in any disci$line.Isomor$hic statistical structure does not necessarily im$ly isomor$hic generatie $rocesses.<oweer, the fact that this similarity of subsystem-si*e distribution is obsered on $racticallyall leels of descri$tion suggests an underlying common dynamic $rocess iso&dynamics3.

Based on the hy$othesis of the iso-dynamics of all self-organi*ing or eolutionary $rocessesincluding language and formal systems3 we hae looed for the most sim$le and bestunderstood $henomenon which could sere as a case study of self-organi*ation.'he detailed results of this case study are $resented in a se$arate $a$er Winiwarter, 1=>A3.Based on this case study we hae attem$ted to Mde-anthro$omor$hi*eJ ma+or conce$ts liememory learning and intelligence in order to arrie at truly trans-disci$linary conce$tswhich a$$ly to systems in general. Ksing the term gnostic for a generali*ed goal-orientedlearning $rocess, we $ro$ose the following self-referential recursie $roto-world hy$othesis:

1. 'he unitary conce$t of the /)bsolute/, /Knierse/,/ature/, /Kltimate eality/,/%od/, /'ao/, /@ing an &ich/ or whateer traditional term you $refer can be best

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a$$ro5imated in systems terminology by something called )utognostic or &elf-ImageBuilding Process.

2. Within the unitary conce$t of )utognosis or &elf-Image Building we can distinguish between two com$lementary conce$ts:a3 local bottom-u$ integration of $arts or elements

b3 to$-down differentiation of a whole or unierse.Both $rocesses are com$lementary in the sense of uantum mechanics light cana$$ear as wae9 light can a$$ear as $article9 but light is neither wae nor $article.3

F. Both com$lementary conce$ts of local bottom-u$ integration and global to$-downdifferentiation can be iewed in terms of s$atial conce$ts or structure, in terms oftem$oral conce$ts or $rocess and in terms of causal conce$ts or regulation.

4. &$atial, tem$oral, and causal conce$ts /emerge/ locally in a $rocess of bottom-u$integration and /demerge/ globally in a $rocess of to$-down differentiation followingsimultaneously the directed seuence of organi*ational categories:

e.g. spatial concepts

Local bottom-up

integration

Global top-down

differentiation

| UNITY element space

| DISJUNCTION complementa!elements

polai"e# space

| CONJUNCTION lin$e# co%ple &o%n#a!

| S'(U'NTI)* +,)NC-IN oT,''

+ancing cain0tee

Opening0compatments

| ODU*), C*OSU,' ,ing0 ann%last%ct%e

'nclose# space0 coeo cell

| ODU*), ,'CU,SION ,ing leel n e%alselement leel n1

Coe leel n e%alsspace leel n1

Te pocess is sel6eeential an# ec%sie

The self&image building process consists in the recursive co&evolution of nested local and

global hierarchies! 'ithin a given global hierarchical level local phenomena are com&puted

(put together) in a process of bottom&up integration under the constraint of the global

phenomenon (environment)! n mathematical terms one could call this process mapping or

mage&building!

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3. )ny dimensional category can be described, in seen organi*ational categories: ,#t8

*o0pl!0!t)r#t8 d#"3,*t#o8 *o3,*t#o8 "!/,!t#)l r)*h#28 0od,l)r

*lo",r! )d 0od,l)r r!*,r"#o.

@irectional, dimensional, and organi*ational categories are called gnostic categories. 'heeolution or self-organi*ation of gnostic categories follows a self-referential recursiealgorithm.

REFERENCES

)bbot, ;.).1=?2 "latland: ) omance in 8any @imensions. ew Cor: @oer.

d0)rcy, P.1=! <oene Wronsi: Kne $hiloso$hie de la creation. Paris: &eghers.

Bahm, ).L.1=>4a /<olons: 'hree Honce$tions/, &ystems esearch 123:14?-1?!.1=>4b /"ie &ystems Honce$ts of &ociety/, %eneral &ystems 6DIII:4F-?1=>? /&tages in the @eelo$ment of &ystems Philoso$hy/. P$. 2?F-2?A in B. Banathy ed.3,&ystems Inuiring: 'heory, Philoso$hy, 8ethodology. &easide, Halif.: Intersystems.

Battista, L..1= /'he <olistic Paradigm and.0%eneral &ystems 'heory/, %eneral &ystems II:A?--1.

on Bertalaaffy, .1=A> %eneral &ystems 'heory, ew Cor: Bra*iller.

Brown, %.&.1== aws of "orm. ondon: %eorge )llen and Knwin.

;igen, 8.1=1 /&elf-organi*ation of 8atter and the ;olution of Biological 8acromolecules/.

aturwissenschaften ?>:4A?-?2F.

on "oerster, <.1=F /n constructing a eality/. P$. F?-4A in ".;. Preiser ed.3, ;nironmental @esignesearch. @owden: <utchinson ose.

%aines, B.. and &haw, 8..%.-1=>? /'hree World Diews and &ystems Philoso$hies./ P$. 244-2?2 in B. Banathy ed.3,&ystems Inuiring: 'heory, Philoso$hy, 8ethodology. &easide, Halif.: Intersystems.

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