PANSYSTEMS ANALYSIS: MATHEMATICS, METHODOLOGY,RELATIVITY AND DIALECTICAL THINKING PANSYSTEMS ANALYSIS: MATHEMATICS, METHODOLOGY,RELATIVITY AND DIALECTICAL THINKING

PANSYSTEMS ANALYSIS: MATHEMATICS, METHODOLOGY,RELATIVITY AND DIALECTICAL THINKING

  • 期刊名字:应用数学和力学
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  • 论文作者:郭定和,吴学谋,冯向军,李永礼
  • 作者单位:Physics Department,Wuhan Digital Engineering Institute,Storage Technology Division,Department of Land Surveying and Geo-
  • 更新时间:2020-12-06
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Applied Mathematics and MechanicsPublished by Shanghai University ,( English Edition, Vol 22. No 2,Feb 2001)Shanghai, ChinaArticle ID: 0253-4827(2001 )02- 0237-24PANSYSTEMS ANALYSIS: MATHEMATICS, METHODOLOGY,RELATIVITY AND DIALECTICAL THINKING*GUO Ding-he (郭定和)',WU Xue-mou (吴学谋)= ,FENG Xiang-jun (冯向军)', LI Yong-li (李永礼)4(1. Physics Department, Hubei University, Wuhan 430062, P R China; .2. Wuhan Digital Engineering Institute, Wuhan 430074,P R China;3. Storage Technology Division, IBM,Silicon Valley, USA;4. Department of land Surveying and Geo-infornatics, The Horg KongPolytechnic University, Hong Kong, P K China)(Paper from WU Xue -mon, Mermber of Fditorial Comittee, AMM)Abstract: Based on new analysis modes and new definitions with relative mathemuticaticnand simplification or strengthening forms for concepts of generalized systems, .panderivaives,pansymmetry, panbox principle, pansystems relativiry, etc., theframework and related principles of pansystens methodology (and pansystems relativity aredeveloped. Related contenus include: pansystems with relatively universul mathemutizingforms,200 types of dualities, duality transformation ,pansymmetry transformation,pansystems dialectics ,he 8-domain method, pansystems mathemarical methods ,generalized quantification, the principles of approximation- transforming,pan-equivalencetheorems,supply- demand analysis ,thinking experiment, generalized gray systems, etc .Key words; pansystems methodology; relativity; systems; pansymmetry transformation ;dialectical logic; postumodermismCLC numbers: N941.6; 0412: B811Document code: AIntroductionAs an enrolled new discipline in Chinese library classification pansystems theory is atransfield multilayer network like research with the emphasis on pansystems, which exploresccrtain combinations of mathematical thinking ,systems thinking ,dialectical thinking und poetryhinking , and emphasizes particularly on the investigations of the building bricks ,basic blocks,fundamental categories, elementary networks and relativity of pansystems. One of her efforts isinclincd Lto develop a kind of methodology and systems science with postmodernism style,including certain methodology of half- mathematization with relativc operatability, and pursues todiscover some principles and modes of pansystems whose transitive closure is alnost everywhere中国煤化工* Received date: 2000-03-15; Revised date: 2000-11-.DYHCNMHGBiographies: GLO Ding-he (1955 - ), Associate Professor;WU Xuc-mou (1935- ), Rescarch Fellow237238GUO Ding-he WU Xue-mon, FENG Xiang-jun et aldense in principles of many disciplines and topics. And he investigation on various forms ofrelativity of pansysterms is called the pansystems relativity .Pasystems principles and modes:= The 4-mutuals (interconnection, intertransformation,interderivative and inerpronotion ) or 5- mutuals ( intcronnection, intertansformation,interderivative. interpromotion and inerrestraint, simply denoted by台) of various principles .Pansystems relativity: = pansystems theory:= 4-mutuals or nctwork conmection of variousprinciples. It is coresponding w: natural number system:≈rational number system:= rcalnumber system: = complex number system, hypercormplex umber system, fuzy numbersystcm: > various mathematical structures.The present paper extends the past investigations ([1-5]) in some new forms, developsthe framework and related principles of pansystcms methodology and pansystems relativity, andpresents new analysis modes aod new definitions with relaive mathematization and sinmplificationor strengthening forms for concepts of generalized systems, panderivatives, pansymmety ,panbox principle, pansystems relativity, etc . Related contents inchudc: pansystems wih relativelyuniversal forms ( T-ary pansystems, high power pansystems, charm pansystems S:二varioussystems,various mathematical strucuress and various word-descriptions), 200 types of dualties,duality rapsformation, pansymmetry transformation, pansystems dialectics, the 8-domainmethod, pansystems mathematical methods, generalized quantification, the principles ofapproximation-ransforming,pan- equivalencetheorems,supply-demand analysis, thinkingexperiment, generalized gray systems, etc1 Basic Concepts and Pansystems Mathematics1.1 Pansystems and generalized systemsIn the pansystems theory, the category of pansysterms means generalized systerms ,generalized relations or their various compositions ( duality-type definition), σr embodies thethought, investigations and operations research to generalized (or pan-ize) the So-called7-elermeots of pansystems with the tendency 1o connct various disciplines and topics (7-element-type definition) :Pan * (7-elements; ..xtrior interior, observocontrol, clustering discoupling, subject-object,difference identity,body- shadow,panorder, suply-demand, causality-environment, “ ) =strengthen certain 4 mutuals or 5- mutuals of various disciplines or topics.Where the so-called 7-elemenls imply the typical sub-concepts of pansystems category suchas: generalized systems, relations, symmetry ( pansynmetry ),Shengke, transformations( panlransformations), oprimization ( panoptimization),infinitesinal calculus ( panderivative). .Things/ Principles≈Pansysterms●Transitive Closure/ Repcated Operaions-Transformations-Applications (similar to generalized chaotic dynamics and neural networks)≈Certain 4-mutualsof various disciplines or topics .In a certain sense,pansystems theory pursues certa中国煤化工or modes whoseransitive closure is almost everywhere dense in principl.MHCNM.HGr topis.The generalized systerms can be represented in mathematical form as certain formalcombination of the generalized hardware A and generalized software B, or a sort of hard-softunified snix.s = (A,B). Where A is certain given thing-set, including certain well-definedPansystems Analysis239pansystems set, and B is ccrtain rclations or panweighl composition of relations based on A,andhe so-called panweight mcans crtain generalized weight, proportion, density, numnber,magnitude, indication, parameter, degrec, grade, exlent. There ure 20 ypical gencralizedsystems as follows:1) n-ary operations, B: A" - A; 2) n-ary relations, B c A"; 3) n-ary panweightedrelations, B c A"x W, W-panwcight; 4) set, B = empty relation 0;5) fuzzy set, B:A -[0,1]; 6) n-ary fuzzy relations, B: A"→[0,1]; 7) panweighed ficld, B: A十W;8) panweighted network, B: A°→W; 9) panweighted field-nctwork, B: A U A→W; 10)first-order pansysterms topology, B c P(A); 11) second-order pansystems topology, B C P(A2 x W); 12) panweighted relations, B: A°→W, whcreA" = A U A°U .; 13) generalpanweighted relations, B c A" x W; 14) panlanguage ( family of panweighted relations), B CP(A" x W), P-power scl operation; 15) superlanguage, Bc SL(A) =∪Qn(A),Q;(A) =P(A" x W), Qa.(A) = P([Qa(A)]" x Wa+1), W。--the panweighted sets; 16) absraclautomaton, A = X∪C∪Y, B= {f,g}, f:Xx G→C, g:G→Y, whereX, G, Y,f,g are inpul sel, state set, output set, state-transforming relation, observation relation,respectively; 17) divided product panweighted relation, A =∪A, Bc(II A)x w;18) T-arypansystems,T={T},Bc1↑D={fIf:D→L},D=∪A↑T;,,1.一panorder.set or panweighted set; 19) high power pansysterms, B c P* streng-thening,fading, negation. surpassing ot Zen-ization: paradox-transforming, paradox- tending,paradox- driving,paradox- preventing, reduction to fractals, contradictions, confusion, chaos,regret, deadlock, abnormal loop, good or vicious circlc, alienation, reduction to subjects ,reduction Lo objects ,inward transformation, outward transformation, wonderful transformation ,charm singularity ,development , discarding, surpassing , sublimation, deifying, science fiction ,dream. misplace ,meaning,8-comprchensions ,clustcring- discouping observocontollbility,pansystcmability,etc.). Where mega-multiplicity means: polynary nature ,multidimension,multilayer,multiparameter, multipanweight, multi-contraction, multi-extension, muli-goal,etc7) Multilayer generalized subject/ objecl relations: [ Subjccts (n) /( subjects ( m,n) /ohjcets (m,n) )],Rclative mixing 4-operations,4-columns/6- terms or feedback. 5-mutuals.lEgos (n). non-egos(n )}/{legos( m,n), non-egos(m,n) |/legos ( m,n), non-egos (m,n) }}. Egos/ egos . Thiaking/ 'thinking .8) A十B ( subjects .4 operations/4- columns/ 6-terms )/B( objccts .4operations/4-colunns/6-terms) U C→D→panoptimization or non- panoptimization for relative circulation ,feedback,fractals, chaos ,extended variation. or paradox-tending ,paradox-driving and paradox-preventing .Generaly speaking, there are many ego relations or feedback relations in pansystemsrelativity processcs which are likely to connect with some fractals , quasi- fraclals. broken fractals,non-fractals,quasi- fixcd pansystems. easy paradox or quasi- paradox. Pansystems relativityposscsses very strong dualities of panoptimivation and non- panoptimization. these dualitics will bestrengthened by relative feedback. Consequcntly. pansystems rclativities are thecauscs,conditions or environments of bilateral extremc- tending of many things or pansystems which canbe ego-objecified or feedback, including certain principles, modes ,thcories ,categories,concepts,etc., and so these things or pansystems possess in general certain 5-singularitics:quasi- fractals. implicit chaos ,potential paradox ( p|中国煤化工-automation (self-organization) . latent alienation. And so they are connearitics, tvolutions:TYHCNMHGor degenerations. Such as man. society ,market, pouucs, economy, lIC, cgo, computer.network,brain ,thinking ,language ,philosophy, methodology . mathematics, logic, science ofsciences,systematology, melascience, dialectics, literature, arts. religion, domination,.254GUO Ding-he WU Xue- mon, FENG Xiang-jun et alanthropic principle, and pansystems relativity iself, etc. all these possess certain relative 5-singularities. And the developmeat of positive factors, discarding ncgative factors,panoptinization. paradox. preventing of dualities will be generally realized by certain relaivecompositions of the 4 operations. Narnely, there is a fecdback philosophy: using pansystemsrelativity to overcome the relativity-paradox discases. The dualities themselves are of certainquasi- paradoxes . corresponding to various technical paradoxes and social paradoxes, there is agencral mode: the strengthening , alienation, panoptimization, non-panoptinization for things areof mutual hiding, relative intertransformation, relative 5-mutuals. For the comparativeinvestigatin of pansystems rclativity and Einstein' s relativity, sce i1, 4, 6-8].3.3Thinking experimentThe recapitulation method for pursuing studies ,, education, talent-becorming is the simulationof 4-columns of subject- object relations based on the so-called rccapitulation- reproving-rediscovery, which asks people to play the roles of the related experts,scholars, writers, poetsand artists who were in original creative work and discovered ncw principles or produced newproducts, and then to enter the roles and the processes of self-mold and self- optimization .Another uechnique is called qualemary method. which is a special variety of th recapitulationmethod: man- made strengthening, feedback panoptimization, sclf-hiot by mind-guiding,simulating discussion and dispute, etc. of many people and then playing roles and entering roles.All these are of thought experiment or thinking simulation, which can be reexplained in the formof pansystems relativity .It is intercsting that in the procss of creation of the special relativity and the generalrelativity,Einstein had already used the following four thought experiments: chasing light,relative motion of conductor and magnet, synchronization clock of two observers, elevator. Andthe thought experiment is just the role method simulating 4-columns- - a sort of panoptimization ofpansystemns relativity ; the mcthodology creating relativity is a sort of rclativity in another sensean apparent paradox: use relativity to create rclativity !In the case of subjects contolling objects here is usually another pansystems relativity: inobservation or measure there is something like control, and conrol implies certain observationtoo, the observocontrol is of 5-mutual combination. Consequently, a certain observability is thenecessary condition for transforms, operations and reforms of hings, and the observed results arein general of the results of results of certain control, or is the results of observocontrol to subjcct-object relations by subjects, here the objectification of subject- object relations replaces primaryobjccts. The differeat observation for the same object lead to different result, the cause is usuallybased on the different media and difcrent subject-object relations. After operations of subject-object combination. the old subjects- objects are usually changed into new ones. Similarly, in thepractice peoplc usually change the ideal goals into the process of pursuing ideal and realize certainalienation or panoptimization. Different manners, methods and courses lead to different goal-alienations or different results. And these alienation-中国煤化工ubjects themselvesrelative alienation or self-development-discarding-panopYRCNMHGAn important category in cybernctics is feedback or generalized ego, about them therc is apansystems relativity process: generalized subjeet observocontrols generalized ohjcct, and thegeneralized object. as a new type of generalized subject, observocontrols prinary generalizedPansystems Analysis255subject again, here the latler generalized subject plays role of another generalized object. In thecomputer science, the so called Neumann's thought about program storage in fact presents asimplified technical ralization for 5- mutuals of 4 columns of subject-object relations. and so canbe used to simulate various pansystems relativities and related feedback, egos. and 5-singularities. In the production of complicated weapons, there is a ncw management methodcalled uechnical state management, is idea in fact is obijectification of the exterior- interior-panderivatives and the 5- mutuals of 4-columns- subject- object relations conceming such as primarydcsign. production. developmenl, objcets, and nanagement itself, clc., and then make onceagain more scientific managerment according to the indexes: ( qualities, quantities, degrees,targets) .3.4 Pansystems mechanismThe principle of pansystems mechanism realizes an cmbodiment of the principles in the 8-domains such as“ exterior- intrior- panderivatives imply mechanism” or“ dualit-panderivativeimpties pan-mcchanism”. or certain concretions of formula “PD Exterior interior = Mechanism"σr formula“PD Duality = Pan-Mechanism". The principle is concemed with a pansystemsdefinition about the most general concept of mechanism, and so it is the foundation of manyprinciples or modes such as: architecture, design, writing, creation, invention, functionsimulation. black box method, phenomenal theory. mechanism theory, gray systems,state spacemehod,diagnosis, epistemology, systerms engineering, virtual reality, sciencefiction,construction of theories ,dissertation of disciplines, etc.{PD (Functions, Structures) = Mechanism} c {PD (Exterior, Interior) = Mechanism}C{ PD Duality = Pansystems Dialectics; PD Duality = Psymm} .A typical mode tw analyses mechanism is certain synthetic panoptimization combining followingrespects: 3-relations, l0-principles, 5 -mutuals , 7-elements, 8-comprchcensions. 7- Yi, MultiResourcs.5-I→Montage, 6- terms-relaivities, 3- targets: (regret, paradox, abnornality).Where 3-relations include difference -identity,Shengke ,supply-demand. 10-principles:perfeel. regret. reality ,panoptimivation, relativity. combination, solving in paradoxes,equivalence,simplification, strengubening. The main points of the l0-principle are listed asfollows:1 ) the perfect principlc- panoptimizationwithoverallconsiderations ( idcalpanoptimization; overall consider he respecs of macrocosm. microcosm, wholeness, locality,the far, the near, the vertical, the horizontal, multi- index- synthetic synergy, optimization anddevelopmenL and tend to big ego panoptimization); 2) the regret principlc- supply-demandcontradictions; 3) the panoptimization principlc- -simplificatio, paradox-tolerating, fast sub-opimization; 4) the reality principle- paradox-tolerating and noving solving, realism; 5) thesinplification principlc-- -cpitome panoptimization; 6) the strengthening principle- exlendcdvariation of mind; 7) the relativily principle- 4-colum relativities; 8) the combinationprinciple- complements of deflections (r dualities, complements of dualities 200, repeatedcombination panoptimization ( pansystems combination method embodies in general rcpeatedcombination-panoplimization of variousST: S≈T≈n中国煤化工nciple (solving inparadoxes) - -perfect with solving in paradoxes; 10) equiYHCN M H Collowing respectsare of conditional intertransformation: contradictory equations, multi-goal programming, multi-lateral games, difficul solving for overall considerations, multi- demands wih supply-paradoxes .GL0 Ding-he WU Xue-mon, FENG Xiang-jun el alvarious typical paradoxes and regrets .A panderivative representation of the above mechanism method can be described as follows:PD? ( difference- identity . Shengke , supply-demand, 5- T-montage ,regret. paradox. abnormality, philosophy, l0-principles,clement- systecms . whole-part. exterior- interior) =PD differencc- identity口PD Shengke口PD supply-demand口PD 5- T-montagc口PD regrel. paradox . abnormality台PD philosophy台PD 10-principles 的PD element-systums与PD whole- parto PD exterior- interior .A simplificd-strengthening mode is as follows:PD2 (3-nelations.5- T, regret. paradox . abnormality . philosophy, 10-principles) =PD 3-relations.5-T台PD regret. paradox . abnormality. philosophy口PD 10-principles .3.5 Panbox principleProm he viewpoint of pansystems, the black box, white box, gray box (gray systems),phenomenal analysis. function simulation, mechanisn analysis, analysis from exterior 1o interior.transfer function method. etc. all of these are only of ccrtain observations ( or controls 01simulations) to object-systems. These observations ( or controls or simulations) are of eithermacrocosm or microcosm, either outward or inward. AlI of them can be considered as certainbird' s eye- view or microscopy σr quotientization in the scnse of pansystems, and so are theresults of certain pantransformations. Consequently, a category is called panbox whose specialcases include black box ( principlc) and state space ( method), etc. The panbox is the resuls ofpanoptimization for object-systems based on the panbox principle:Observocontrol combinations; exterior intcrior panderivatives; duality dialectics; 7-clementsand 8-domains; skilful selection 1[o black-whilc-gray boxes; making use of multi-resources,theories and relations; flexible operations; pantransformation-panoptimization.The differences of the principle from traditional methods are as follows: development of go-aheadism ( observocontrol combinations ),flcxibility, feedback ( pansystems relativitics,observocontrol combinations, repeated subjecl- object combinations,multi-duality combinaions) ,multi-resources. theories andrelations ,multi-dimensions( multi-dimensionalmovingcombinations of black- white-gray boxes. including making use of certain fuzziness andinexacness. pansystems thinking ( exlerior- interior panderivatives ,duality dialectics, 7-elementsand 8-domains,pantransformation-panoptimization; and there are many concrete principles 0modes of pansystems thcory which can be considered as the support systems) .Some typical methods or modes of panbox analysis are as follows:!) PD ( Exterior, Interior) 台compositions of many positive and negative exterior- interiorpandcrivatives: PD ( Exterior m,Extcrior n ) gcneralized transfir. function: PD ( Input,Output) = generalized transfer function: PD ( OutpuMYH中国煤化工p parameters →normal or abnormal 5- mutual relations, pansyslems relac N M H Gs or pansymneryrelations of phenomenal parameters;2) Gencralized systems =≈pantransformations of generalized systems = panoptimization;3) Pansystems relativity: pansystems degree of generalized observabilities LelPansystems Analysis257G be observed set. F一i side observation set, from the restrained windows C; C F, to observeor diagnose the given subset D c C, then there is a reduced binary relation as a observationmodelg; c D x Ci, and two symmetry relations or toleranl relations an generated fom thismodel as follows :s(D) =∩g;x gi', k(D) =∪g;* gi'.Where * means composition, and gil: the inverse relation of gi,s(D) and h(D) arcdefined as the sheng- confusion degree and ke.confusion degree of D respectively. s(D)(corespondingly. k(D)) forms a semiorder structure in the power set P(D2), and s(D) =1( D),k(D) = I( D) correspond L0) sheng white box and ke- white box respectively. they aretwo differcnt forms of complete obhservabilities. Where I(D) = (x,x) | x∈Di, diagonalbinary relation of D. And s(D) = )2,k(D) = D2 correspond to sheng black box and ke-black box respectiycly, they are lwo different forms of complete unobservabilities. And the casesI(D) C s(D), hk(1)) C D3 imply generalized gray systems,including the so-called sheng-gray box and ke-gray box. Dilferentiation degree: the negation or the inverse orderization ofconfusion degree is called corresponding differentiation degree, their forms are represented assd(D) = D2- s(D), hd(D) = 12_ k(D).Cray degree The equivaluedization of confusion degrce is called gTay degree, cotespondingforms arc described assg(D) = [s(D)]', kg(D) = [k(D)]'.Where s' means transitivity closure of binary relationf: U f(n)(n = 1,2,..); wherefl") are .the n th sclf-compositions of f. There are two corresponding quotient systems or quoticnt sets ( see[6- 9]): D/sg(I)) and D/hg(D). They embody real observable cases from the windowsC; C H; within the cooperative and interrestraincd schedules respectively. The white box caseembodies cerlain completc differentiability for D (namcly, D/I(D) = D), and the black box:ase embodies that the observation result is a contraclcd point ( namely. D/D'- a singleclement) : the interior structure is not obscrvable. The case of gray box is corresponding to certainintermediate situation bctween white box and black box: some subsystems of D are black and theothers are white, but the relations amopg sub-black boxes are observable. But the general graybox inludes white box and black box as certain extrcme cases .The general panbox in general is certain flexible combinations of gray box systems orpantransformations with feedback, relative timely simplification-trengthening and real timc. Atypical mode of panbox is a certain flexible and moving combination of gray box-systems withfeedback and various pansystems- gray- degrecs .4) Pansystems relativity: that-this mode Suppose that the duality rclation or theproltotype relativiy-model is: g; c (Q/a) x (M;/b;) x W, where (M/b;,Q/n) are thepansystems dualities . there int> the slash means pansystems quotientization, W is panweight sel;the panweight confinement or grades are: Uk c W, W = U Ue(dc); the known duality heads:D; c M:/b:= duality tails of D; codiagnosis with U~中国煤化工* Uk)* D,) cQ/a)). This mode can be uscd to transformationYHC NM H Gs dialectics andpansystems rclativities,such as: from duality heads ( D}) to duality tails ( R), fom this( D;) to .that ( R), from exterior (D);) to interior ( R), from this exlcrior (D;) to thal exterior ( R;),from inputs ( D:) to outputs (R:), from the known (D);) to the unknown ( R;),from258GUO Ding-he WU Xue-mon, FENG Xiang-jun et alobservocontollability ( D,) to hal-oervontolablill or non-observocontollablity ( Rn),fromcauses (D) Lo efets ( R, ), frorm ffeets ( D;) to causes ( Rg), from object-pansystems (D) topanboxes(R2), ete. The general mode Z = (g,Q,M, W,U,D,R,a,b,c,i,j,h) can beused to various corresponding panopuimizations about pansysterms relations ,pansystems duality.pansystems dialectics, including the rclaivity analysis on pansystems dualities 200, pansystems4-columns .5) Pansystems relativily: duality transformationsFor panweighted duality relation,we can simulate various derived dualities according to level-reduction and pansystems operators.This is the pansystems duality model in the duality gaunes. The general mode is the modeldescribed above: pD2 pansystems dualities 200 = PD duality m白PD duality”. A specisal caseis: PD2 duality= PD duality m一PD duality n. Another concrete form is as follows .Suppose hat C is a duality subjectset,fc Gx w isa panweighted duality relation, D Cw shows a related panweight level, g = f* D is panweighted reduction, (x,y) ∈g istheduality with panweight level D between x and y, if pansystems operator a makes g reduction topansysems identity, then(r,s) ∈a(g) shows that r and 8 have D-level and a-type derivedduality relation, and dfferent a yields dfferent derived duality relation. By using a(g) to miakepansystems clustering, C = U C;(da(f* D)), then G; are the substs or subsystems formed bythe clustering criterion satisfying the derived duality relation a(g). Derived duality relations arcof special pansystems relations. Conected with panbox principle more directly, and coordinatedwith the above mode, the relaivity transformations for various ( exterior, interior )-dualities,(exlerior m, exterior n )-dualitics,(pansystems ,panbox )-dualitics, (subject, object)-dualities,( that, this)-dualities, etc. are very important .Mode z = (f,D,g,a,(r,s)∈ a(g)) can be used to derived panoptimizations of variouspansystems relations or pansystcms dualities 200 .¥¥*Enrolled in hundreds of schools of thougthways of world mathematicians,pansystems theory( pansystems mcthodology and pansystems relativity, [11]) is recognized as a new subbranch often modcm systems theories, the dictionary Chinese Library Classification puts it under hecategory of pandect on naural sciences ([3,12 - 15]. the casification number is: N941.6).Pansysterms theory has developed investigaions on many topics concerning mathematies,sciences, tchnology, medicine, humanities , sociology ,history, philosophy, etc.: cyberneticsand games theory ([1 - 5]), mathematics and logic ([6-9, 16]), diference-identity theory,rough set theory and the processing of itelligence information ([1]), derived Shengke relations(「6,7]),clustcring analysis and analytic hierarchy process, objectication principle, ventureobservocontrol ([I,17 - 20]), expert system of fault- diagnosis, gco- informatics (I 18]),parameter- analysis of giant magnetoresistive head (GMH) ([1], IBM,Silicon Valley, USA,see: www . aideas . com), the interdisciplinary investigations and pansystems quantification ofphilosophy,mathematics and systems science ([6-8,中国煤化工”uppics of manysoft sciences or humanities ([1, 6-8, 17, 22i). Pansynear one hundredMHCNMHGtypical rclations of generalized subjects and objects conceniug 0 u! uIc usnupiutes oT Lopics, theconcrete contents include : philosophical comprehension in poems of poet SU Dong-Po, GongsunLong's theory on the solidity and whicness, writer LU Xun' s view on the book Dream of thePansystems Analysis259Red Chamber, Bohr' s correspondence principle ( complementary principle). flxible reatmentaccording to real-time dynamical diagnosis in Chinese traditional medicine ,anthropology, theviewpoints of sel-consciousness and reflection in Hege1' s logic,artificial nature, virtual reality.life theory, the relations between man and artifcial itelligence,thinkeology ,coordinales methodof Descartes, thoughts about unification, Einstein' s relativity, concepts and principles aboutautomation, the relation among various branches of mathematics , Von Neumann ' s thought aboutcomputer,pansystems subject-object rclaions in logic. language,information,knowledge ,philosophy and communication, Carmap' s intensional logic. Kant' s ranscendental theory.various theories about alienation, thing- in-itself and thing for itself, grccn culure and ecololgicalcivilization, relativities hetween being and nothingness ,Shushu model, observocontol model, .ree searching model, the 4-column relativities of C3 I and Internet, principles of Confucius andBuddhism, Sunzi's strategy ,management of technical states, the principle to comprehend uhelaw searched by moving nerworks, Zhuangzi' s theory about universal identity, thinkingexperiment, etc. (see [6 - 91). Consequenly, we can investigate various relativiy-ransformations and comparative analysis of many subjcc object dualies and this that dualities oflarge scale transfreld topics, and these investigations will strengthen dialectical thinking and itscombination wih mathematical thinking, systems thinking and poetry thinking.References:i1] wU Xue-mou. 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