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KNOWLEDGE-BASED SOCIO-SCIENTIFIC SYSTEM: COMPARATIVE
ISLAMIC PERSPECTIVES Dr
Masudul Alam Choudhury* & Dr
Gabor Korvin** Abstract
The
scientific research program of a knowledge-induced systems approach to
socio-scientific conceptualization is invoked here to develop a human resource
model. Knowledge-induced fields are shown to arise from the process order of
an interactive, integrative and evolutionary (IIE) world view of
learning. It carries an intrinsically embryonic and pervasive learning
process. Such a process is called the Shura
in Qur'an and as in the Qur'an,
this process is taken in its universal meaning of interactions, integration
(consensus) and further creative evolution. It is found to give rise to a
unique theory of systems with an universal paradigm and application that are
premised on the unity of knowledge (Tawhid).
We test out the validity of this model for human development as objectified by
the concept of a well-being criterion function. Analytical methods and an
empirical example using Monte Carlo simulation algorithm underlying the
knowledge-induced processual worldview are provided to establish the
analytical and applied contexts of the IIE-model. Human resource development
premised on the underlying epistemology of unity of knowledge and a unified
worldview is thus shown to yield a revolutionary perspective in a
substantively interdisciplinary curriculum development in human sciences and
engineering. Objective
Our
objective in this paper is to show that a precise form of socio-scientific
worldview premised on the epistemology of unity of knowledge (Tawhid)
can become the groundwork of a revolutionary scientific research program. We
will then prove this claim by analytical reasoning and an empirical example.
A curriculum development for human resource related to the scientific
groundwork of unity of knowledge will be presented as a policy outcome of
the study. * Professor of Finance and Economics, College of
Industrial Management, King Fahd University of Petroleum and Minerals,
Dhahran, Saudi Arabia & The School of Business, University College of
Cape Breton, Sydney, Nova Scotia, Canada. ** Associate Professor of Geophysics, Department of
Earth Sciences, King Fahd University of Petroleum and Minerals, Dhahran,
Saudi Arabia. Against
the Background of Moral and Ethical Foundations of Scientific Inquiry Are
natural sciences completely devoid of moral and religious values? A frequently
quoted anecdote in favor of this view is the story of Pierre Simon de Laplace
(1749-1827) who presented Napoleon with a copy of his fundamental work on
astronomy, the Méchanique céleste.
Napoleon asked him about an apparent oversight. “You have written this huge
book on the system of the world without once mentioning the Author of the
universe.” “Sire”, Laplace replied, “I had no need of that hypothesis.”
(Bell, 1965). The
following quotes claim on the other hand, that scientific, technological and
social theories, and thereby their applications are inherently based on some
underlying epistemology premised on ethical values and morality (Ghazzali
quoted by Berggren1992, Einstein undated, Barrow 1990):
Berggren
writes (1992, p. 315): ….an important segment of Islamic thinkers – al-Ghazzali
among them – argued that although a knowledge of the basics of the ancient
sciences was important for the Islamic community, excessive study of them
could lead to conceit and a falling away from the faith.” Einstein wrote (undated): “Ethical directives
can be made rational and coherent by logical thinking and empirical
knowledge”… He continues on: “It is the privilege of man's genius,
impersonated by inspired individuals, to advance ethical axioms which are so
comprehensive and so well founded that men will accept them as grounded in the
vast mass of their individual emotional experiences. Ethical axioms are
founded and tested not differently from the axioms of science. Truth is what
stands the test of experience.” Barrow
writes (1990): The current breed of candidates of the title of a `Theory of
Everything' hope to provide an encapsulation of all the laws of nature into a
simple and single representation. The fact that such a unification is even
sought tells us something important about our expectations regarding the
Universe. These we must have derived from an amalgam of our previous
experience of the world and our inherited religious beliefs about its ultimate
Nature and significance. Our monotheistic traditions reinforce the assumption
that the Universe is at root a unity, that is not governed by different
legislation in different places, neither the residue of some clash of Titans
wrestling to impose their arbitrary wills upon the Nature of things, nor the
compromise of some cosmic committee. The
difference though in the treatment of ethics and values in such
socio-scientific phenomena lies in the way that values can be functionally
integrated with socio-scientific inquiry and not be simply exogenously invoked
and imposed in an otherwise ethically neutral conception. The
enforcement - rather than
functional integration - of an exogeneous value system upon sciences has
always had harmful effects. Recall from the recent past what Marxists/Maoists
and the postmodernist academic “Left” had done to natural sciences – see
Gross et al. 1994, Dauben 1998. This
endogeneity of ethics and values is a path-breaking outlook of a new body of
socio-scientific research program that assumes a knowledge-induced worldview
of a process-oriented type. Its seeds are to be found not in the rationalistic
foundation of received scientific doctrines and in the human resource
development that has gone on for so long to enforce this kind of perception.
The entrenched feature of rationalism is the epistemology of a purely humanly
perceived system of reasoning that shifts by the force of refutation and
falsification randomly (Bartley 1988). Consequently, there is no
self-referencing of the doctrine of any body of thought by an immutable
precept within itself. Such falsification that emanates from the supremacy of
the individualist self and the pluralistic nature of scientific discourse
leads to a random development of a plethora of competing doctrines and their
consequential applications. In the end, harmony among the disciplines is
reduced by the rise of pluralism in scientific inquiry. Examples
of the rationalistic effects in view of the underlying dualism in them are the
disparate theories and views between quantum physics and relativistic physics
despite the best efforts to combine them to date by means of quantum gravity
(Weinberg 1992, Penrose 1989). Then there are the disparate perceptions on
prices, output and policy matters to be found between microeconomics and
macroeconomics (Thurow 1983). In the philosophy of science pluralism has been
entrenched in rationalism by falsification emanating from Popper's idea of a
conjectural universe (Popper 1991). Even in the best of classical work on
highly moral texts the unifying function of divine laws remains evasive (Kant
1977). Descartes used the same kind of dualism to describe his separation of
logical positivism from normative scientific foundations (Descartes 1988).
Such a separation between science and morals raises the problem of analytical
synthesis between the science and morality (Carnap 1966, Dampier 1961).
Hence the question of self-referencing as the central issue of
unification in the sciences on a cross-disciplinary basis becomes the
foundational methodology for scientific research on unity of scientific
knowledge. We are led here to invoke the central place that Qur'an
has given to the Oneness of Allah
(Tawhid) as the foundation of Unity
of Knowledge, from which flows all worldly knowledge through the enactment of
Divine Laws when transmitted by the Sunnah
(guidance) of the Prophet Muhammad and the process of Ijtihad
(rule setting on the basis of Qur'an
and Sunnah) for a precise and
regimented way of comprehending the divine laws in life and experience. The
socio-scientific precept of Qur'an
is thus both initially premised on unity and is continuously discovered in the
experiential world by the enactment of systemic unity taken up in its diverse
forms. This is indeed the essence of unity within diversity. The Qur'anic
worldview is presented as being permanently prevailing in world-systems (a'lameen).
It is reflected by the essential paired nature of creative forms taken up in
bundles of goods (and bads) within the extensively interactive view of a
diversely rich socio-scientific order characterized by systemic balance (e.g.
of agriculture, ecology, institutions and cosmic order in the Qur'an).
This interactively balanced or integrated configuration of the Qur'anic
world view is functionally comprehended by the principle of Shura
(consultation) in the Qur'an. Yet
by the Shuratic principle here we
derive from the Qur'an its
meaning in terms of knowledge-induced interactions, integration and creative
evolution to more of the same in continuity and in a way that remains embedded
in all creative orders. This process is not limited simply to political and
institutional forms. Thus the relevance of the Shuratic
process in scientific inquiry emerges. Finally,
the continuation and reaffirmation of this Shuratic
process-oriented domain of knowledge flows emanating from the fundamental
epistemology of the Oneness of Allah (Unity of Knowledge), is perpetuated
across interactively integrating world-systems through creative re-origination
(evolutionary epistemology). In the Qur'an
this last stage of the emergent continuing process orientation to learning and
moral becoming within all systems is referred to as the Qur'anic
meaning of Khalq in-Jadid (emergent
re-originated orders). Knowledge in both its primordial forms and in flows
emanating from the epistemology thus becomes the unifying foundation and the
emergent process of the Qur'anic
worldview. All cognitive and observed forms (ayath
al-Allah) appear and reconstruct within this uniquely knowledge-inducing
systemic process. The
Historian of Medieval Islam Civilization, Franz Rosenthal, held `ilm
[=knowledge] as “one of those concepts that have dominated Islam and given
Muslim civilization its distinctive shape and complexion”. Imâm Bukhârî
put his “Book on Knowledge”, Kitâb
ul-`ilm, at the beginning of his Sahîh,
immediately after the “Book on Faith”. At this point it should be noted
that English only has a single word for “knowledge”. This term cannot
thereby express the two levels of knowledge as in Arabic (`ilm/ma`rifa),
German (wißen/kennen) or French (savoir/connaître).
In the present context, we shall be concerned with the process of gaining
practical knowledge (ma`rifa) from
the epistemological mooring, which is the source of the
moral laws (Kamali 1991, Masud 1997). Towards a Qur'anic Scientific
Worldview
The
understanding of Divine Unity as the epistemology of the Divine Laws
externalized to the experiential domain through the combination of Sunnah,
Ijtihad, Shura
and Khalq in-Jadid assumes a highly
organized, definitive and analytical methodology (Choudhury 1998). Human
resource development that becomes causally entrenched in this
knowledge-induced world-system is the carrier of three most central elements,
namely, balance, commitment and motivation (Frank 1988). Choudhury has shown
elsewhere (1995a) that a process-oriented circularity among these three
precepts determines the relationships of an Islamization process. The circular
causation1 among balance, commitment and motivation projects
‘onto' the human possibility to know, to renew in a balanced way and to
pursue that capability through motivation and commitment in perpetuity. This
causal interrelationship occurring in perpetuity then determines the
knowledge-inducing domain.
In turn, justice as the essence of a grand balance in both the human
and cosmic systems is combined with the purpose for attaining the level of
justice. In other words, while justice is the quintessence of reality, purpose
is the power of understanding and applying the divine precept of justice to
life. Commitment is intensified by the emanating proven results of the Shuratic
process pertaining to all real world phenomena. Hence commitment is determined
by certainty and well-being of the results that emanate from the Shuratic
process of interactions (I) leading to integration (I) and the two leading to
creatively evolutionary (E) knowledge-inducing processes of similar kind. This
circular causation process is referred to in this paper as the IIE-methodology.
It is identical with the Shuratic
process. Motivation
is a monotonically positive function of commitment occurring in perpetuity. It
reflects the persistent will to improve well-being through the possibilities
realized in interactive world-systems. Such a domain includes science,
technology, economy, institutions and society. Human resource is then seen as
an instrumental mechanism premised on the knowledge forming premise of unity
as it is carried through by flows of knowledge emanating through compounded
interactions among world-systems, each of which is simultaneously impacted
upon by justice, commitment and motivation. In turn, each of these three
consequences are simultaneously realized by the primal attributes, namely,
Justice (balance = ‘Adl or Mizan),
Purpose (= Maqasid), Certainty (= Haqq
al-Yaqin), Well-Being (= Falah),2
Creative Evolution (= Khalq in-Jadid).
Imam Fakhruddin Razi considered the role of ethical and moral values in
a similar way in terms of divine attributes (Noor 1998). Unlike Maslow who
considered hierarchies of self-actualization starting from the basic needs
(food) to security, property rights, social needs and then moral needs in this
order (Maslow 1968), Razi made conscious obedience of Allah (Ubudiyyah)
as the foundation of knowledge and self-actualization. From the epistemology
of Ubudiyyah was thought to emanate
the organization of self, society and human fulfillment. Maslow's
hierarchical method can thus be inverted into a continuous form of divinely
knowledge-induced progression of knowing reality and human fulfillment in
Razi's self-actualization model (Choudhury 1995).
The verses of the Qur'anic
Chapter on Light (Qur'an 24:35)
also mention the five stages emanating from the root of Tawhid
leading to continuity in the Tree of Knowledge (Blessed Tree = Shajarat
ul-Mubarakah). These stages are the niché (essential guidance), lamp
(showing the way), glass and star (interchangeably certainty and well-being)
and the emergent blessed tree (i.e. progression of knowledge).
Imam Ghazzali considered similar four stages to explain his path to
divine wisdom (Karim undated). Ghazzali wrote that there are four stages
toward understanding Tawhid
(Oneness of Allah). The first stage is like the outer cover of the coconut;
the second stage is like the inner cover of the coconut; the third stage is
like the kernel of the coconut; the fourth stage is like the oil of the
kernel. To this can be added the evolutionary process of learning towards Tawhid.
This last stage helps to overcome the metaphysical problem of
self-annihilation (fana fil-Tawhid)
into which Ghazzali's philosophy stumbled. Stock and Flow of Knowledge in the Framework of Divine Unity
Henceforth
we will treat the Complete and Absolute Epistemology of Divine Knowledge as
the Stock. Emanating from this
fundamental epistemology of Unity of Knowledge are the Flows
of knowledge carrying and conveying unity of systems. Such flows are derived
by the exercise of Sunnah and Ijtihad
in the way of the Shuratic process
as mentioned above. Intrinsic in the realization of knowledge flows from the
epistemology of Divine Stock is the enabling function of the divine
attributes, namely the vector {Justice (Balance), Purpose, Certainty,
Well-Being and Creative Evolution}. These attributes are carried through in
perpetuity through stages of Islamization by means of human resource
development inculcating balance, commitment and motivation of the attributes.
By means of the above-mentioned depiction of the Shuratic
process in the sciences, the fundamental principle of Divine Unity and its
creative manifestation in the unified but diverse world-system, becomes
epistemologically embedded. Hence, self-referencing to unity is reflectively
established both epistemologically and ontologically to confirm the immutable
foundation of unity and its associated creative systems in life. This
axiomatic premise of the Qur'anic
theory of knowledge replaces pluralism and methodological independence between
the disciplines by a unique methodology of unity of knowledge. Only the
specific problems of different disciplines may differ. Yet these different
problems are interrelated by the extension of inter- and intra-systemic
knowledge flows through interactions, integration and creative evolution (the
IIE-model) premised on divine unity. This unique methodology and its
pervasively continuous reference to the epistemological and ontological
moorings of divine unity is the essence of unity in the socio-scientific
order. Here self-referencing to unity being immutable it negates the randomly
pluralistic understanding of reality by rationalism as presented by Campbell
(1988). It is interesting to note that in this computer
age the use of large interacting systems of equations, variables, their
relations, institutional and agency specific interrelations are increasingly
determining the landscape of a systemic approach to the study of
socio-scientific phenomena. Such an idea of a universalizing systems theory
presents the scientific research program of endogenous ethical values in
socio-scientific studies. The endogenous ethical methodology is an emerging
scientific program contrary to the exogenous treatment of ethics and values in
science, technology, institutions, economics and society. This would include
incorporating the study of the ethical dimension in theorems of mathematical
incompleteness (Godel 1965), in the process view of science (Hull 1988), a
systemic study of entropy in thermodynamics (Prigogine 1955) and in complexity
theory (Kellert 1994). Brief
Definitions of Underlying Terms 1.
Systemic Knowledge By
systemic knowledge we mean a continuum of interactive learning that results in
convergence, consensus and evolutionary equilibria. But due to
knowledge-induced sensitizing of the field of variables and their relations in
such IIE-processes and the inherently incomplete and cumulative knowledge
flows, entities do not remain in steady-state equilibria. Thus, while inter-
and intra-systemic complementarities lead interactions into convergence i.e.
systemic integration, yet the attained states are of temporary type. They
subsequently and continuously emerge into evolutionary movements. Systemic
knowledge flows in such a circular causation become the cause and effect of
the conjoint interrelationships among the interactive, integrative and
evolutionary entities of the induced fields. 2.
The Epistemology of the Interactive, Integrative and Evolutionary (IIE) Field The
epistemology or the axiomatic premise of a systems theory of IIE-process is a
set of textual laws that are then discoursed and advanced by human
participation institutionally, socially, politically, scientifically with
respect to the problems at hand. The initial conditions of convergence that
both cause and emanate from systemic complementarity, is the essential
functional understanding of unification by knowledge. It is derived from the
essentially paired nature within diversity of the Qur'anic
universe. Here is where neither philosophical rationalism nor any concept of
human rationality can help out, be these bounded rationality or not (Etzioni
1988). The
epistemology of unity comprises the legacy of civilizations embalmed in writs
of laws, morality and ethical worldviews without harbouring in them any trace
of Eurocentricity and hegemony of power and privileges. Examples of such
consensual states are the dawning of an ecological age (Korten 1990); the
tenets of social justice and liberty (Kant 1977); institutional and social
co-determination in a democratic society (Sztompka 1991). Boulding talked
about an ethically sensitive economic order that would act as an interactive
system in his Total Social System (Boulding 1971). At the end we note that
there is the essence of a permanently systemic complementarity that needs to
be studied and analytically as well as empirically endogenized within a
systems approach to socio-scientific theory. 3.
Attributes of the Epistemological Premise of a Universal Systems Theory The
epistemological premise is engineered by its Attributes (A) referred to
earlier: A={Justice
(J), Purpose (P), Certainty or Security (C), Well-Being (F), Creative
Evolution (E)}. With
these five attributes the Stock of Knowledge denoted by W
for the epistemological premise is defined in the functional form, W
= W(A). Note how Akhira
(Hereafter) and the worldly affairs (Dunya)
are now integrated together through the function of knowledge, divine
attributes and the Tawhidi
epistemological premise. In this, q(A)
e
W; and all cognitive forms, x(q),
are functions of derived knowledge flows. The vector, (q,x(q)),
defines the well-being criterion function according to the principle of strong
and pervasive complementarity within diversity.. Furthermore,
since W(A) is the Stock of Knowledge,
therefore to it must belong knowledge flows generated in the IIE sense denoted
by {q} e
W(A). But the constancy of W
must also imply the constancy of the primal attributes A. Only {q}
varies as knowledge flows within the IIE world view
causing systemic interrelationships among q-values
and their knowledge-induced forms to appear, change and evolve. Such
variations assume interpretive forms, whereby participation, co-determination
and institutionalism are involved. These actions take the form of endogenous
institutions, endogenous policies (e.g. ecologically determined policies),
endogenous preference changes among consumers, institutions, governments,
producers and entrepreneurs, engineers, technologists and scientists. Causally
thereby, market perspectives are changed and simulated in a systemic framework
with the IIE-process of knowledge formation acting upon and in turn getting
evolutionary responses from the endogenous preferences of agents, endogenous
production menus and endogenous interactions between the production and
distribution of wealth, its entitlement and ownership. We
bring out the IIE-process in the chain interrelationship (1): (1)
W(A)
®S
{q}
®f
{x(q)}
®SW
SW(x(q),q)
®S'
{q'}®{x'(q')}®SW'(x'(q'),q')
®
etc. Epistemology
®
systemic ®
knowledge ®
formation of ®
new evolutionary IIE processes regenerated knowledge
induced socio-
well-being
by continuum of interactions and integration. flows
economic system The symbols, S, f, SW, S etc. denote the transmission
mappings from one stage to another in IIE. The implication of well-being can
be extended to a broadest possible category of similar criterion functions in
the sciences and socio-economic fields. A strong implication of the above
circular causality is that certainty causes well-being, which is
post-evaluated through the medium of discourse and analytical examination.
This stage causes new q-values to
emerge and so on. The
flow relationship of {q}-values to
the Stock of Knowledge that is W(A)
is well explained by Yusuf Ali (1942) in relation to the commentary to the Qur'anic
verse (XLIII:4) as follows: The
Mother of the Book, the Foundation of Revelation, the Preserved Tablet (Lauh
Mahfuz) is the core or essence of revelation, the original principle or
fountain-head of God's Eternal and Universal Law. From this fountain-head
are derived all streams of knowledge and wisdom that flow through Time and
feed the intelligence of created minds. The Mother of the Book is in God's
own Presence, and its dignity and wisdom are more than all we can think of in
the spiritual world. 4.
The Well-Being Function The
endogenously ethical transformation of the socio-scientific domain in the
framework of knowledge flows is evaluated by means of the well-being function.
The well-being is characterized as a positive monotone functional of a system
of complementary interrelationships among the sequences of {q}-variables
and their induced socio-economic effects denoted by the vector {x(q)}.
The attributes and epistemology thus come into confluence in the well-being
functional through the sequences of IIE-complementarities with the advance of
endogenous knowledge formation and its induction of the socio-scientific
order. Through such a convergence of IIE-processes substantive
interdisciplinarity is established between agent-specific preferences,
developmental transformation and the endogenous institutional actions,
responses and human resource development. Since,
dSW/dq = SxÎx
(¶SW/¶x).(dx/dq)
> 0, because of systemic complementarity in a monotonic sense, it therefore
implies that, (¶SW/¶x)
> 0, which in turn can be true if and only if (dx/dq)
> 0, for each xÎx(q).
Furthermore, in the IIE-evolutionary sense, dx/dq
= f(x'(q)), a functional
relationship of newly evolved q-value.
Hence, df'(q)/dq
> 0. Likewise, by the IIE complementarity and because of the circular
causation process among {q)-values, x(q)-values
and SW(x(q),q)-values,
we obtain, ¶SW/¶x
= g(x'(q'),q'),
whereby, dg/dq > 0. Thus finally,
(d/dq)(dSW/dq)
> 0. We note that the postulate of marginal rate of substitution that
governs both neoclassical economics as well as Darwinism in science does not
hold in the well-being function. The resulting principle of strong and
pervasive complementarity is derived from the essentially paired nature
of possibilities appearing in the universe as explained by the Qur'an. Methodological
Issues We
will now formalize the methodology behind the systems approach to the study of
the complex IIE-phenomenon in knowledge-induced fields. We will also point out
how this systems methodology can interface with computer-assisted animation of
simulation results, causality and sensations that are generated from the
mathematical analysis using detailed functional forms of expression (1). As
mentioned earlier, knowledge in this project always means recursive sensations
that are causally simulated in systems by means of interactions leading to
unification in the epistemological sense (state of integration derived from
interactions), and these two lead to further dynamic evolution towards more
learning of the same kind. The principle of universal complementarity that
emanates from such pervasively interacting, integrating and dynamically
creative strings of relational causality takes place among systemic variables,
their relations, agents and institutions. The IIE-process repeats itself both
spatially and intertemporally. The
definition of knowledge field is that of a flux of interrelationships of IIE-entities.
The knowledge field is thereby described by flows forming nexus of IIE-forms.
Such domains ebb and flow as knowledge (or ‘de-knowledge')3 and
get re-generated in continuum in the midst of the relational complexity. In
this systemic order, the transmission of IIE-entities of relational forms into
their depiction in visual forms can be accomplished by the medium of
mathematical topology and simulation. Such formalized results and sensations
can be continuously mapped as computer language for visual displays. We
thereby have two levels of IIE-forms here. First, the mathematical models
theoretically construct the IIE-knowledge fields, whereby relational nexus
domains are developed. Secondly, these mathematical entities are then mapped
into information sets developed by computer-assisted designs. From such
general systems of transmitting interrelations can be formed the animation of
abstract entities. The
transmission mappings interrelate the two IIE-fields, namely the abstract
nexus domains of IIE-entities, and the visualizing of these sensations by
computer designs. Remember that the systems oriented scientific research
project is for developing a general systems theory in the IIE-knowledge
fields. Hence there is no need to be specific to any given discipline here.
The universality of such a general systems theory will encompass engineering
machines as well as world-systems. To
formalize, let SI denote sets of information that intersect,
meaning that mathematical interrelationships occur. Thereby, for two systems
of sets, the mathematical relationships, fi
(Si(qikl))Í
Sj(qjkl), i¹j.
F
= {qskl} are
knowledge parameters that arise due to the IIE dynamic learning phenomenon.
‘i' and ‘j' denote numbered systems; ‘k' denotes agencies involved
in the IIE phenomenon; ‘l' denotes the number of intersections in the
learning process. The triplet, {Sj(qjkl),
fi (Si(qikl)),F}
constitutes the knowledge field of the system of IIE-entities denoted by {Sj(qjkl),
fi (Si(qikl))},
with i,j,k,l as defined. Thus we find that every variable and its
interrelationships with the other ones within diverse systems, is functionally
established by the knowledge set, F
= {qskl}. This phenomenon
of knowledge-induced fields of actions, that is of knowledge formation in F
and of its response, which means knowledge induction of the systemic variables
and their interrelations, {Sj(qjkl),
fi (Si(qikl))},
makes the knowledge field to be of the endogenous type in knowledge flows. On
this knowledge field, interactions, integration and creative evolution can be
substantively studied (Choudhury 1993a). Simulation Studies based on the IIE-Methodology
1.
An IIE-Simulation Model An
example of a mathematical functional in the knowledge field is the well-being
function (as opposed to social welfare function of neoclassical genre) (Choudhury
1998): Simulate
{q}
SW(xj(qjkl),
qjkl),
…… (2) subject
to, xj(qjkl)
= g(xj'(qj'kl),
qj'kl ½SW0) and,
qjkl = h(xj(qjkl)½SW0) Expressions
(2) represent a system of JxK equations, given simulated values of SW across
interactions (l), with the initial value being SW0; xj(qjkl)
denoting a vector of recursively interrelated systems
variables; qjkl
denoting a sequence of endogenously determined knowledge simulations; g and h
are functionals. The appearance of ½ means
condition to the occurrence of its right-hand-side function. One can show
these nexus groupings in a matrix form (Choudhury 1993b). The
recursively simulated results of the above IIE-system can be continuously
transmitted to computer language to generate visually active flux of knowledge
fields responding and kaleidoscopically changing in hues and colours of the
computer animated knowledge fields. There would also exist the reverse
interrelationships, as stored computer information feed into further
mathematical simulations, and so on, as in the case of the Geographical
Information System (GIS). We have thus the transmissions described by the
following string: 2.
Simulation Example In
order to show the empirical viability of the knowledge-induced recursive model
in engineering and science we have used an example from economic geophysics in
relation to the concept of “profit” being dynamically combined by economic
gain and knowledge input. We shall be concerned with
the Monte Carlo simulation of search for deep-lying, hidden oil and gas
reservoirs4 by means of seismic
techniques. In the seismic technique (see e.g. Telford et al. 1990) we
send acoustic vibrations down the Earth and use the back-reflected waves to
detect deep-lying oil and gas deposits beneath the surface (Korvin 1992).
The seismic measurements are carried out along two perpendicular
systems of parallel lines, called profiles, say along a set of NS-oriented
lines spaced a distance Dx
apart, and a set of EW-oriented lines spaced a distance Dy
apart. The measuring geometry is called a 3-D
(three-dimensional) seismic survey (Al-Husseini & Chimblo, 1994).
The measurements along each seismic profiles are independently repeated
‘n' times to reduce noise. The number ‘n' is called fold-number. In
practice it can be as large as several hundreds. The triple, (Dx,
Dx,
n) is the exploration policy. Given this exploration policy we can compute the
exploration costs and the expected economic value of the reservoirs found. The
expected profit as economic value net of total cost can now be simulated by
means of the Monte Carlo technique (Korvin 1995). This was done by generating
a random distribution of hydrocarbon reservoirs and simulating the
geophysical exploration process according to the policy vector, (Dx,
Dx,
n).
We have made the following set of assumptions in the Monte Carlo
Simulation method: * The cost of the seismic lines is 1,000 US$/mile for
single fold, and increases linearly with fold number *
The cost of drilling is 750, 000 US$/well *
The value of a productive target is proportional to target area: 1 million
US$/mile2 *
The probability of productivity of a target is q=0.4. ·
The probability of detecting a target if a seismic line passes
above it is p=p(n), where the detection probability vs. fold-number dependence
p(n) is given by the following
equations: P=x
2/(x2+1)
with x=S/N;
x(n)=0.25×n1/2
There are 35 elliptical shaped reservoirs, their size
and shape imitate those of the Sparky field (Canada), the major axes of the
ellipses are aligned parallel with the X-coordinate axis. If
we compare this Monte Carlo experiment with the IIE system equation (2), we
immediately see that only the very first step of IIE
had been actually executed. We started out from a given knowledge
system q,
which in this example consisted of set of parameters describing the
distribution of the number of targets, of their size, of their orientation, of
their productivity, etc. The profit, which was based on economic
considerations alone, has been derived from the knowledge system, and even a
way was found to optimize this profit. The
deficiency of this approach, and of all similar exercises in operations
research, has been that there was no iterative feedback leading to evolution. To make a step towards this
direction, observe that in real life our a
priori knowledge system is necessarily incomplete, or in some of its
details totally incorrect. An IIE-based approach to the above-discussed
simulation problem would proceed in the following steps: * Suppose that the geology of the unknown site is
completely described by a knowledge vector q,
containing the number of targets, their location, their size, and their
productivity. * Before starting the experiment, we only have an
initial guess q0
of this knowledge vector.
* Based on qo,
we find the optimal
exploration policy using the above Monte Carlo approach * The computer generates a random realization of the
geology based on the correct probability
distributions q0
. We start measuring over this geology, and in addition to finding
productive targets, we also find information
about the correct probability distributions which can be used to update
q0
into q1
. * Based on
q1
we find by Monte Carlo an improved exploration policy. Actually, at this
stage we must have already realized that a gain in information about the real
knowledge vector q
is as valuable a profit as an economic one.
We invest back a fraction of our profit earned in the previous steps into
an apparently unprofitable “theoretical” research (actualized in the
example by too small Dx,
Dy
or too large n) just to learn more about the statistical distributions. * The process will converge to a maximal possible
profit, and to an accurate knowledge:q0
,q1
¼®
q. On studying our simulation
results we note some interesting facts in relation to the recursive production
of knowledge on geophysical exploration. Observe that in the IIE-model of
simulation the “value of information” problem5 (of Brillouin
and Good) has completely disappeared because every bit of information (about q)
has been utilized to improve the exploration strategy and thus it has
lead to a measurable increase in the expected profit.
We can make the following inferences with respect to the expanding
knowledge-induced simulation
field described by (Dx,
Dy,
n): First, we note that in a more general simulation of scientific research
the parameters Dx,
Dy,
¼
would signify the hardware needed
for the experiments (equipment, computers, software, etc.) while n
would refer to the human effort involved (as total man-hours devoted to
research, etc.). In the present example the effects of Dx,
Dy
and of n on cost and on
efficiency are quite different. If
the spacing Dx,
Dy
between the seismic lines is for example halved, the seismic exploration
cost will be doubled. We get the same two-fold increase if we use the same Dx,
Dy
but 2n instead of n.
Generally Seismic
cost(D/l,D/l,n)=Seismic
cost(Dx,Dy,ln). Note that as the value of n increases, the exploration
results leads to greater certainty6 for the geophysical reservoirs.
Consequently, the singularity value of the simulated profit function for n =
48, denoted by P, is eliminated and a smooth surface is obtained for n = 96.
Uncertainty (point P) is thus reduced while stable profits are generated with
increased interactions (n-value) between the engineering techniques (drilling)
and the physical environment (discovery of reservoirs). n = 96 requires a
higher investment associated with drilling as indicated by an initial negative
value of profit. Between n = 48 and n = 96 more stability in the yields is
attained although short run profits for the case n = 96 are lower than those
for n = 48. In the knowledge-induced
profit function, which is a proxy for our earlier mentioned well-being
criterion function, the role of ‘n' is that of learning. Hence ‘n'
signifies interactions generated between the agent and the geophysical
environment. ‘n' is therefore a carrier of knowledge-flows, which were our
q-values.
Consequently, as in the case of the knowledge-induced variables in the
well-being function, we now have the knowledge-induced profit function, p(q)
= Economic Value – Cost(n), with n now being a function of learning in the
exploration process that unifies (integrates) the knowledge of the explorer
with the discovery knowledge embedded in the geophysical field. The agent
cannot claim pari passu an
‘optimum' economic value of the reservoirs unless it is definitely known.
Consequently, no pricing and revenue calculations can be done ad
hoc by an explorer as otherwise is found to be the case in rent-seeking
exploration of economic staples (Matthews 1981). Likewise, the same unifying
process of knowledge reduces unit cost as agent-nature interactions proceed,
and this too is a result of costing real deposits rather than capitalized
values of unfound deposits. Between a real valuation of profits and costs we
thus come up with a certainty equivalent of uncertain economic value as q
proceeds, that is an exploration being carried by n.
The other inference we draw from the simulation result is that equating
‘n' to a monotonic function of q-values,
causes a three-dimensional relationship corresponding to figure 2. Such
topological balls when mapped ‘onto' (Dx,Dy),
would transform the grids shown in figure 2 into intersecting and expanding
balls. These are mathematical configurations that have not been treated here. A
Policy Perspective for Human Resource Development: Towards a Science and
Engineering Curriculum According to the IIE Model It
is obvious now that the knowledge premise of the well-being function or its
prototypes necessitates re-structuring of the educational system in accordance
with Shari'ah so that human
resource is modeled keeping a purposive socio-scientific perspective in view.
Such an educational change is to be carried out by merging a conventional
educational curriculum with the investigative study of Qur'an
and Sunnah that can lead to dynamic
derivations of rules of Shari'ah
(Ahkam as-Shari'ah) on specific
and diverse human issues. The process here is to be carried out both at the
levels of epistemology, methodology, methods and analytics, policy-making and
application to specific issues within the ummah
(world nation of Islam) and outside. The
core of educational change would be to target and develop the unique
methodology of the interactive, integrative and evolutionary process
(IIE-methodology) as derived from the Qur'an
and Sunnah. The same model would
then have to be explainable and applied to all kinds of problems and issues,
be these of science, technology, academia, markets, institutions or polity.
Thus we derive the concept of substantive interdisciplinarity and of the grand
socio-scientific order (Choudhury 1995b). We note in such a curriculum
design that the uniqueness of the new methodology is obtained from its
substantive and universal nature at the level of epistemology in all physical,
social and engineering sciences. This methodology is not of the nature of
simply developing expertise in rationalist educational systems, where
interdisciplinary segmentation leads the way to mutual exclusiveness in
specialization. The result of such contrary methodological segmentation has
been the formation of human resources that cater to certain notions of
efficiency of markets, production and technology in support of this very idea
of interdisciplinary segmentation. The consequential competitive tradeoffs
among viable alternatives occur in factor markets along with the underlying
kind of human resource specialization. The
nature of educational change in the light of a merging between the
epistemological outlook of the new methodology and the conventional
educational curriculum at all levels, is a unique way of developing original,
critical and highly analytical approaches to theoretical and applied knowledge
of specific issues and problems. In this IIE-perspective of educational
curriculum development, the critical wisdom gained makes the study of all
modern doctrines simply for purposes of contrasting and comparing them with
the essential Islamic epistemological world view.7 Besides, the
same methodological approach also grounds the study of Qur'an
and Sunnah on analytical and
applied grounds. This is a causal result of the nature of well-being criterion
for the knowledge-induced variables and their complementary interrelations. It
is well known that the rationalistic philosophy of education have grounded the
Muslim nations into a borrowed system that does not adapt to the reality of
the great complementary way of understanding the universe as bestowed in the Qur'an
and Sunnah. Rationalistic
philosophy in education, social, natural and engineering sciences, are
fundamentally premised on the tradeoff idea among possibilities that we
referred to earlier. The knowledge-centered world view emanating from the Qur'an
and Sunnah as we have explained
above negates this philosophy of science. CONCLUSION This
paper provided a brief though comprehensive introduction to the important area
of systemic investigation of socio-scientific issues by providing a unique
theory of systems in terms of the IIE-knowledge centered process. Together
with this the endogenously moral, institutional and policy implications of
such a systemic approach were seen both at the theoretical and applied levels.
With the help of computer-assisted programs, particularly those provided by
GIS-methods, the sensations and causality of the knowledge fields introduced
here can be captured. This can lead to computer-generated animated designs of
the simulation results generated on a conceptually mathematical side.
Conversely too, the stored information flows so generated in the GIS-system
can be further used to generate data inputs as well as further simulations of
the conceptual counter-system. The two sides thus remain in exact
correspondence with each other. One such model of the knowledge-induced profit
function in geological exploration was empirically estimated and the
inferences drawn with respect to knowledge-induced effects.
These conceptual and empirical ramifications that have been taken up in
this paper proved the powerful epistemological roots of the IIE-methodology
emanating from Qur'an and Sunnah
as possible educational direction for Saudi and Muslim curriculum development
in the sciences. We provided one such example of curriculum development to
bring out the analytical and substantively interdisciplinary nature of the
IIE-methodology in the social, physical and engineering sciences. |
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