TOWARD A
METHODOLOGICAL FOUNDATION OF
THE DIALOGUE
BETWEEN
THE
TECHNOSCIENTIFIC AND SPIRITUAL CULTURES*
1. Introduction
At the beginning of human history,
science, spirituality and culture were inseparable. They were animated by the
same questions, those about the meaning of the universe and the meaning of
life.
The germ of the split between
science and meaning, between subject and object, was certainly present in the
seventeenth century, when the methodology of modern science was formulated, but
it did not become full-blown until the nineteenth century.
In our time, the split was
consummated. Science and culture have nothing more in common; this is why one
speaks of science and culture. Science does not have access to the nobility of culture, and
culture does not have access to the prestige of science.
One understands the indignant cries
unleashed by the concept of two cultures — scientific and humanist culture — introduced some decades ago
by C.P. Snow, a novelist and a scientist [1]. Science is certainly part of
culture, but this scientific culture is completely separated from humanist
culture. The two cultures are perceived as antagonists. Each world — the
scientific world and the humanist world — is hermetically shut on itself.
However, time has passed
since 1959 when C. P. Snow formulated this concept. The marriage between
fundamental science and technology is now accomplished, generating the
technoscientific culture which drives the huge irrational force of globalization, centered on
the economy, which in turn could
erase all differences between cultures and between religions. Part of
humanistic culture has already been absorbed in the technoscientific culture.
In front of this new monolithic culture, there is what I will call below the spiritual
culture , which is
in fact a constellation of a huge variety of cultures, religions and spiritual
communities, sometimes contradictory but still united through a common belief
in the two natures of the human being — on one side, his (her) physical,
biological and psychical nature and, on the other side, his (her)
transcendental nature.
As scientists, active
participants in the technoscientific culture, we have a great responsibility:
to avoid the disintegration of the spiritual culture resulting from the
unbridled development of technoscience, whose probable outcome will be the
disappearance of our human species. It is, therefore, urgent to establish links
between the technoscientific culture and the spiritual culture. But are these
links possible?
As a practicing quantum
physicist I know very well that, if we insist on the technical aspects of
science, no link is possible. The only way is to question the axioms of
fundamental science and its most general results. Only by situating ourselves
at the frontier of science or in its very center can we establish a dialogue
with the spiritual culture. I had the privilege of actively participating in
one of the first institutional events in this direction [2].
It is only if we
question the space between, across and beyond disciplines that we have a chance
to establish links between the two post-modern cultures, integrating both science and
wisdom: transdisciplinarity could offer a methodological foundation for a
dialogue between the technoscientific culture and the spiritual culture.
2. The
transdisciplinary approach to Nature and knowledge
The methodology of
transdisciplinarity is founded on three postulates [3] :
i. There are, in
Nature and in our knowledge of Nature, different levels of Reality and,
correspondingly, different levels of perception.
ii. The passage from
one level of Reality to another is insured by the logic of the included middle.
iii. The structure of
the the totality of levels of Reality or perception is a complex structure :
every level is what it is because all the levels exist at the same time.
The first two postulates
receive experimental evidence from quantum physics, while the last one has its
source not only in quantum physics but also in a variety of other exact and
human sciences.
It is interesting to
note that the three postulates of transdisciplinarity correspond to the three
postulates of modern physics as formulated by Galileo Galilei:
iS. There are universal laws, of a mathematical character.
iiS. These laws could be
discovered by scientific experiment.
iiiS. Such experiments can be
perfectly replicated.
The universality
concerns physical laws in the case of modern science and the levels of Reality
in the case of transdisciplinarity. However, the language is different:
mathematics in the case of modern science and a new language, of a symbolic
nature, in the case of transdisciplinarity.
Physical laws are
discovered by scientific experiments involving the Object only, while levels of
Reality are discovered through experiments involving both the Subject and the
Object. The logic of modern science is mainly binary while the logic of
transdisciplinarity is ternary.
It is important to note
that one can assume the validity of the three postulates of transdisciplinarity
independently of their historical roots in some branches of modern science. In
other words transdisciplinarity does not rest on a transfer from modern science:
this would be a false epistemological and philosophical procedure. Modern
science, via its most general aspects, allowed us to identify the three
postulates of transdisciplinarity, but once they are formulated, they have a
much wider validity then in modern science itself.
The transdisciplinary
approach to Nature and knowledge can be described through the diagram shown in
Fig. 1.
In the left part are
symbolically drawn the levels of Reality
{ NRn,
... , NR2, NR1, NR0, NR-1, NR-2,
... , NR-n }
The index n can be
finite or infinite.
Here the meaning we give to the word “reality”
is pragmatic and ontological at the same time.
By “Reality” (with a capital “R”) we
intend first of all to designate that which resists our experiences,
representations, descriptions, images, or even mathematical formulations.
Insofar as Nature participates in
the being of the world, one must give an ontological dimension to the concept
of Reality. Reality is not merely a social construction, the consensus of a
collectivity, or some intersubjective agreement. It also has a trans-subjective
dimension: e.g. experimental data can ruin the most beautiful scientific
theory.
Of course, one has to distinguish
the words "Real" and "Reality". Real designates that what it is, while Reality is connected to resistance in our
human experience. The "Real" is, by definition, veiled for ever,
while "Reality" is accessible to our knowledge.
By “level of Reality”, a notion I
first introduced in Ref. 4 and later developed in Refs. 5 and 6, I designate a
set of systems which are invariant under certain laws: for example, quantum
entities are subordinate to quantum laws, which depart radically from the laws
of the physical world. That is to say that two levels of Reality are different
if, while passing from one to the other, there is a break in the applicable
laws and a break in fundamental concepts (like, for example, causality).
The emergence of at least three
different levels of Reality in the study of natural systems — the
macrophysical level, the microphysical level and cyber-space-time (to which one
might add a fourth level - that of the M-theory in particle physics, unifying
all physical interactions and which has, for the moment, only a pure
speculative status) — is a major event in the history of knowledge. The
existence of different levels of Reality has been affirmed by different
traditions and civilizations, but this affirmation was founded either on
religious dogma or on the exploration of the human interior universe only.
Two adjacent levels (say, NR0
and NR1 in Fig. 1) are connected by the logic of the included
middle, which differs from classical logic in the following essential way.
Classical logic is founded on three
axioms:
1. The axiom of identity: A is A.
2. The axiom of non-contradiction: A is not non-A.
3. The axiom of the excluded
middle: There
exists no third term T (“T” from “third”) which is at the same time A and
non-A.
In the framework of classical logic,
one immediately arrives at the conclusion that the pairs of contradictories
advanced by quantum physics are mutually exclusive, because one cannot affirm
the validity of an assertion and of its opposite at the same time: A and non-A.
Most quantum logics [7] have
modified the second axiom of classical logic — the axiom of
non-contradiction — by introducing non-contradiction with several truth
values in place of the binary pair (A and non-A). History will credit Stéphane Lupasco (1900-1988) with having
shown that the logic of the included middle is a true logic, formalizable and
formalized, multivalent (with three values: A, non-A, and T) and
non-contradictory [8].
Our understanding of the axiom of
the included middle — there exists a third term T which is at the same
time A and non-A — is completely clarified once the notion of “levels of
Reality” is introduced.
In order to obtain a clear image of
the meaning of the included middle, we represent in Fig. 2 the three terms of
the new logic — A, non-A, and T — and the dynamics associated with
them by a triangle in which one of the vertices is situated at one level of
Reality and the two other vertices at another level of Reality. The included
middle is in fact an included third term[1].
If one remains at a single level of Reality, all phenomena appear to result
from a struggle between two contradictory elements. The third dynamic, that of
the T-state, is exercised at another level of Reality, where that which had
appeared to be disunited is in fact united, and that which had appeared
contradictory is perceived as non-contradictory.
It is the projection of the T-state
onto the same single level of Reality which produces the appearance of mutually
exclusive, antagonistic pairs (A and non-A). A single level of Reality can only
create antagonistic oppositions. It is inherently self-destructive if it is
completely separated from all the other levels of Reality. A third term which
is situated at the same level of Reality as that of the opposites A and non-A,
if one exists, cannot accomplish their reconciliation.
The T1-state present at
the level NR1 (see Fig. 1) is connected to a pair of contradictories
(A0 and non-A0) at an immediately adjacent level. The T1-state
allows the unification of contradictories A0 and non-A0,
but this unification takes place at a level different from the one NR0
on which A0 and non-A0 are situated. The axiom of
non-contradiction is thereby respected.
The logic of the included middle is
capable of describing the coherence among these levels of Reality by the
iterative process described in Fig.1. This iterative process continues to
indefinitely until all the levels of Reality, known or conceivable, are
exhausted.
In other words, the action of the
logic of the included middle on the different levels of Reality induces an open
structure of the unity of levels of Reality. This structure has considerable
consequences for the theory of knowledge because it implies the impossibility
of a self-contained complete theory.
The open structure of the unity of
levels of Reality is in accord with one of the most important scientific
results of the twentieth century concerning arithmetic, the theorem of Kurt
Gödel [9] , which states that a sufficiently rich system of axioms inevitably
leads to results which are either undecidable or contradictory. The
implications of Gödel’s theorem have considerable importance for all modern
theories of knowledge, primarily because it concerns not just the field of
arithmetic, but all of mathematics which include arithmetic.
The Gödelian structure of the unity
of levels of Reality, associated with the logic of the included middle, implies
that it is impossible to construct a complete theory for describing the passage
from one level to the other, and, a fortiori, for describing the unity of
levels of Reality. If such unity does exist, this linking of all the levels of
Reality must necessarily be an open unity.
There is certainly coherence among
different levels of Reality, at least in the natural world. In fact, an immense
self-consistency — a cosmic bootstrap [10] — seems to govern the
evolution of the universe, from the infinitely small to the infinitely large,
from the infinitely brief to the infinitely long. A flow of information is
transmitted in a coherent manner from one level of Reality to another in our
physical universe. However, if coherence is limited only to the levels of
Reality, it stops both at the “highest” level and at the “lowest” level. If we
introduce the idea of a coherence which continues beyond these two limiting
levels, we must conceive the unity of levels of Reality as extending by a zone
of non-resistance
to our experiences, representations, descriptions, images, and mathematical
formulations. The “highest” level and the “lowest” level of the totality of levels
of Reality are united across a zone of absolute transparence. In this zone
there are no levels of Reality.
Quite simply, the non-resistance of
this zone of absolute transparence is due to the limitations of our bodies and
of our sense organs — limitations which apply regardless of what
measuring tools are and will be used to extend these sense organs. The zone of
non-resistance corresponds to the sacred — to that which does not admit of any
rationalization.
The unity of levels of Reality and
its complementary zone of non-resistance constitutes what we call the transdisciplinary
Object.
A new Principle of Relativity [3] emerges from the coexistence
between complex plurality and open unity: no level of Reality constitutes a
privileged place from which one is able to understand all the other levels of
Reality. A level of
Reality is what it is because all the other levels exist at the same time. This
Principle of Relativity can provide a new perspective on the dialogue between
different academic disciplines and between cultures. In the transdisciplinary
vision, Reality is not only multidimensional, it is also multireferential.
The different levels of Reality are
accessible to human knowledge thanks to the existence of different levels of
perception, described diagrammatically at the right of Fig. 1. They are found
in a one-to-one correspondence with levels of Reality. These levels of
perception
{ NPn, ... , NP2,
NP1, NP0, NP-1, NP-2, ... , NP-n}
allow an increasingly general,
unifying, encompassing vision of Reality, without ever entirely exhausting it.
As in the case of levels of Reality,
the coherence of levels of perception presuppose a zone of non-resistance to
perception. In this zone there are no levels of perception.
The unity of levels of perception
and this complementary zone of non-resistance constitutes what we call the transdisciplinary
Subject.
The two zones of non-resistance of
transdisciplinary Object and Subject must be identical for the
transdisciplinary Subject to communicate with the transdisciplinary Object. A
flow of consciousness that coherently cuts across different levels of
perception must correspond to the flow of information coherently cutting across
different levels of Reality. The two flows are interrelated because they share
the same zone of non-resistance.
The open unity between the
transdisciplinary Object and the transdisciplinary Subject is conveyed by the
coherent orientation of the flow of information, described by the three
oriented loops in Fig. 1 which cut
through the levels of Reality, and of the flow of consciousness, described by
the three oriented loops which cut through the levels of perception.
The loops of information and consciousness have to meet in a
least one point X
in order to insure the coherent transmission of information and consciousness
everywhere in the Universe. In some sense, the point X is the source of all Reality and
perception. The point X and its associated loops of information and consciousness describe the
third term of transdisciplinary knowledge : the Interaction term between the
Subject and the Object, which can be reduced neither to the Object nor to the
Subject.
This ternary partition
{ Subject, Object,
Interaction }
is radically different from the
binary partition
{ Subject, Object }
which defines modern metaphysics.
Transdisciplinarity, with its ternary structure, marks a major rupture with
modern metaphysics. It is precisely due to this rupture that
transdisciplinarity is able to provide a methodological foundation of a
dialogue between technoscientific and spiritual cultures.
The
views I am expressing here are in total conformity with those of the founders
of quantum mechanics Werner Heisenberg, Wolfgang Pauli and Niels Bohr.
In fact, Werner Heisenberg came very
near, in his philosophical writings, to the concept of "level of
Reality". In his famous manuscript of the year 1942 (published only in 1984) Heisenberg,
who knew Husserl well, introduced the idea of three regions of reality, able to give access to the concept
of "reality" itself: the first region is that of classical physics,
the second — of quantum physics, biology and psychic phenomena and the
third — that of the religious, philosophical and artistic experiences
[11]. This classification has a subtle ground: the closer and closer connectivity
between Subject and Object.
3. The dialogue
between technoscientific and spiritual cultures and the presence of the sacred
Academic disciplines
study fragments of levels of Reality and there is a multitude of disciplines
associated with a single level of Reality.
Academic disciplines are
connected exclusively to the Object, i.e. with only one zone out of the three
zones described in the diagram of Fig. 1. Founded on the mechanistic model of
classical science, they correspond to an in vitro knowledge, the disciplinary
knowledge DK (see
Table 1). They are oriented toward power through domination of the external,
physical world. By definition, they are supposed to be neutral, i.e. their study has to be done in
a way that is independent of any system of values.
DISCIPLINARY KNOWLEDGE DK |
TRANSDISCIPLINARY KNOWLEDGE TK |
IN VITRO |
IN VIVO |
External world -
Object |
Correspondence
between external world (Object) and internal world
(Subject) |
knowledge |
understanding |
analytic
intelligence |
new type of
intelligence - harmony between mind, feelings
and body |
oriented towards power and
possession |
oriented towards astonishment and
sharing |
binary logic |
included middle
logic |
exclusion of
values |
inclusion of
values |
Table
1. Comparison between disciplinary knowledge DK and transdisciplinary
knowledge TK.
However, according to
the diagram of Fig. 1, these entire features are in fact ad hoc, artificial and illusory, because the
Object has always to be in interaction with the Subject, through the third,
Interaction term.
The resulting full
knowledge is a new type of knowledge — the transdisciplinary knowledge TK, which corresponds to an in vivo knowledge. This new knowledge is
concerned with the correspondence between the external world of the Object and
the internal world of the Subject. The TK knowledge is really knowledge of the third
term. By
definition, TK
knowledge includes a system of values.
It is important to
realize that disciplinary knowledge and transdisciplinary knowledge are not
antagonistic but complementary. The methodologies of both are founded on the
scientific attitude.
The above considerations
explain the somewhat paradoxical statement that transdisciplinary knowledge is
able to bring a new vision not only of academic disciplines but also of
cultures, religions and spiritual traditions.
The crucial difference
between academic disciplines on one side and cultures on the other side can be
seen on the diagram of Fig. 1. Cultures are not concerned with fragments of
levels of Reality only : they simultaneously involve a level of Reality, a
level of perception and fragments of the
non-resistance zone of the sacred. In other words, cultures, religions and
spiritual traditions correspond to a well-defined horizontal section of the
diagram of Fig. 1.
The resistance implied
by the levels of Reality is connected with the territory in which a
well-defined culture appears, with the corresponding historical events through
which a given collectivity of people has gone, and with the mixture of
different cultural and spiritual customs carried by the people crossing the
given territory at the time.
The resistance implied
by the levels of perception is connected with the given set of spiritual
practices and cultural habits, associated with a given theology, a given
religious doctrine or a given ensemble of cultural personalities and their
teachings through the historical time.
The non-resistance zone
of the sacred is, in fact, shared by all cultures. This fact could explain why
there is an inextinguishable desire of universality, more or less hidden in any
culture in spite of its claim of absolute specificity.
Two crucial problems
today are certainly the status of the sacred (as foreseen by Mircea Eliade) and
the status of technoscience.
As can be seen in Fig. 1, again,
technoscientific culture is entirely situated in the left part of the diagram,
while spiritual culture crosses all the three terms which figure in the
diagram. This asymmetry between the two post-modern cultures demonstrates the
difficulty of their dialogue: this dialogue can occur only when there is a conversion of technoscience towards the values
and towards the sacred, i.e. when the technoscientific culture becomes a true
culture. This conversion must inevitably go through a fundamental change of
attitude of scientists themselves. This process is already visible throughout
the world but old habits of mind are still extremely strong.
The encounter between different
levels of Reality and different levels of perception engenders different levels
of representation.
Images corresponding to a certain level of representation have a different quality than the images associated with
another level of representation, because each quality is associated with a
certain level of Reality and with a certain level of perception. Each level of
representation appears like a veritable wall, apparently insurmountable because
of its relation to the images engendered by another level of representation.
These levels of representation of the sensible world are therefore connected
with the levels of perception of the the scientist, the artist, or religious
people. True artistic creation and deep religious experiences arise at the
moment which bridges several levels of perception at the same time, resulting
in a transperception. Transperception permits a global, undifferentiated understanding of
the totality of levels of perception. True scientific creation arises at the
moment which bridges several levels of representation at the same time,
resulting in transrepresentation. Transperception and transrepresentation can
explain the surprising similarities between moments of scientific and artistic
creation, as brilliantly demonstrated in a book written by the great mathematician
Jacques Hadamard [12].
The problem of the sacred,
understood as the presence of something of irreducibly real in the world, is
unavoidable for any rational approach to knowledge. One can deny or affirm the
presence of the sacred in the world and in ourselves, but, if a coherent
discourse on Reality is to be elaborated, one is obliged to refer to it.
Mircea Eliade once stated in an
interview: “The sacred does not imply belief in God, in gods, or spirits. It
is . . . the experience of a reality and the source of consciousness of
existing in the world" [13]. The sacred is first
of all an experience ; it is transmitted by a feeling — the “religious”
feeling — of that which links beings and things and, in consequence,
induces in the very depths of the human being an absolute respect for the
others, to whom he is linked by their all sharing a common life on one and the
same Earth. The transdisciplinary model of Reality casts new light on the
meaning of the sacred.
The zone of non-resistance is at
once immanent transcendence and transcendent immanence: the former puts the accent on transcendence,
whereas the second puts it on immanence. These two terms are therefore, in
part, contradictory and consequently inadequate for designating the zone of
non-resistance, which appears as the irreducibly real which can neither be
reduced to immanent transcendence nor to transcendent immanence. The word sacred is appropriate for designating this
zone of non-resistance, insofar as the included middle reconciles immanent
transcendence and transcendent immanence.
One way or another, different
cultures and religions, as well as agnostic and atheist currents are defined in
terms of the question of the sacred. Experience of the sacred is the source
of a transcultural attitude.
The transcultural designates the
opening of all cultures to that which cuts across them and transcends them. It concerns the time present in transhistory, notion introduced by Eliade, which
concerns the unthinkable, the unthought-of, and epiphany.
The transculture does not mean a
unique type of culture, but the open, transcendent unity of all cultures.
The transcultural attitude is not in
contradiction with any cultural, religious or spiritual tradition or with any
agnostic or atheistic current, to the extent that these traditions and currents
recognize the presence of the sacred. In fact, the presence of the sacred is
our own human transpresence in the world.
One can understand why my position
differs from the one recently expressed by the great post-modern thinker George
Steiner [14]. I fully agree with him that the barbarity of the 20th century is
without precedent in the human history. However, when George Steiner, quoting
Samuel Beckett ("He doesn't exist, the bastard!") and Bertrand Russell ("It
isn't nice of Him not to give us news"), expresses his own deep belief in the value
of a future atheistic civilization, I find myself very doubtful. It is my
conviction that a post-modern humanism disconnected from the sacred has no
chance to survive in the framework of the recent, strong and irrational
technoscientific culture. The fascination of post-modern humanists in the face
of technoscience is troubling.
The concept of transculture which I
am formulating here is very near that which the great Arab poet Adonis calls
the mysticism of art: a movement towards the hidden face of Reality, a living experience, a
perpetual travel towards the heart of the world, a unification of
contradictories, the infinity and the unknown as aspiration, freedom from any
philosophic or religious system [15].
The transcultural attitude is also
close to what which the great Christian theologian and philosopher Raimon
Panikkar calls the intrareligious dialogue: a dialogue which occurs in the heart of any
human being [16].
Transdisciplinarity calls for a new
form of humanism - transhumanism - which offers each being the greatest
capacity for cultural and spiritual development. It involves searching for that
which is between, across, and beyond human beings — that which could be
called the Being of beings.
The transcultural
attitude is not simply a utopian project — it is engraved in the very
depths of our being. Through the transcultural, the conflict of cultures
— an increasingly present menace in our time — has no more reason
to be. If the transcultural were to find its proper place in modernity, no war
of civilizations could take place.
Basarab
NICOLESCU
Theoretical
physicist at CNRS, University of Paris 6, France
Member of
the Romanian Academy
President of
the International Center for Transdisciplinary Research (CIRET)
REFERENCES
[1] C. P. Snow, The Two Cultures, Cambridge University Press, Cambridge, 1993 ;
this book is based upon a lecture delivered by C. P. Snow in 1959.
[2] Basarab Nicolescu, Science as “Testimony”, in Proceedings of the Symposium Science
and the Boundaries of Knowledge : the Prologue of Our Cultural Past, organized by UNESCO in
collaboration with the Cini Foundation (Venice, March 3-7, 1986), UNESCO,
Paris, 1986, pp. 9-30 ; the Venice Declaration can be found on the Internet page
http://perso.club-internet.fr/nicol/ciret/bulletin/b2c4.htm
[3] Basarab Nicolescu, La transdisciplinarité, manifeste, Le Rocher, Monaco,
coll. "Transdisciplinarité", 1996 ; English translation : Manifesto
of Transdisciplinarity, State University of New York (SUNY) Press, New York, 2002, translation by Karen-Claire Voss.
[4]
Basarab Nicolescu, Nous, la particule et le monde, Le Mail, Paris, 1985.
[5]
Basarab Nicolescu, Science, Meaning and Evolution - The Cosmology of Jacob
Boehme, with
selected texts by Jacob Boehme, translated from the French by Rob Baker,
foreword by Joscelyn Godwin, afterword by Antoine Faivre, Parabola Books, New
York, 1991.
[6]
Basarab Nicolescu, Levels of Complexity and Levels of Reality, in "The Emergence of
Complexity in Mathematics, Physics, Chemistry, and Biology", Proceedings
of the Plenary Session of the Pontifical Academy of Sciences, 27-31 October
1992, Casina Pio IV, Vatican, Ed. Pontificia Academia Scientiarum, Vatican
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Pullman ;
Basarab
Nicolescu, Gödelian Aspects of Nature and Knowledge, in "Systems - New Paradigms for
the Human Sciences", Walter de Gruyter, Berlin - New York, 1998, edited by
Gabriel Altmann and Walter A. Koch ;
Michel
Camus, Thierry Magnin, Basarab Nicolescu and Karen-Claire Voss, Levels of
Representation and Levels of Reality: Towards an Ontology of Science, in The Concept of Nature in
Science and Theology (part II), Éditions Labor et Fides, Genève, 1998, pp. 94-103, edited by Niels H.
Gregersen, Michael W.S. Parsons and Christoph Wassermann ;
Basarab
Nicolescu, Hylemorphism, Quantum Physics and Levels of Reality, in Aristotle and Contemporary
Science, Vol. I,
Peter Lang, New York, 2000, pp. 173-184, edited by Demetra Sfendoni-Mentzou,
introduction by Hilary Putnam.
[7] T.A. Brody, On Quantum Logic, in Foundation of Physics, vol. 14, n° 5, 1984, pp. 409-430.
[8] Stéphane Lupasco, Le principe
d'antagonisme et la logique de l'énergie, Le Rocher, Paris, 1987 (2nd edition),
foreword by Basarab Nicolescu ; Stéphane Lupasco - L'homme et l'oeuvre, Le Rocher, Monaco, coll.
"Transdisciplinarité", 1999, under the direction of Horia Badescu and
Basarab Nicolescu.
[9] See, for example,
Ernest Nagel and James R. Newman, Gödel's Proof, New York University Press, New York, 1958 ;
Hao Wang, A Logical Journey - From Gödel to Philosophy, The MIT Press, Cambridge, Massachusetts - London, England, 1996.
[10] Paul Davies, Superforce
- The Search for a Grand Unified Theory of Nature, Simon and Schuster, New York, 1984, p. 195.
[11] Werner Heisenberg, Philosophie
- Le manuscrit de 1942, Seuil, Paris, 1998, translation from German and introduction by
Catherine Chevalley; German original edition: Ordnung der Wirklichkeit, R. Piper GmbH § KG, Munich, 1989
(published first in W. Heisenberg Gesammelte Werke, Vol. C-I : Physik und
Erkenntnis, 1927-1955,
R. Piper GmbH § KG, Munich, 1984, pp. 218-306, edited by W. Blum, H. P. Dürr
and H. Rechenberg).
[12] Jacques Hadamard, The Psychology of Invention in the Mathematical
Field, Princeton University Press,
Princeton, 1945; French edition : Essai sur la psychologie de
l'invention dans le domaine mathématique,
Gauthier-Villars, Paris, 1978.
[13] Mircea Eliade, L'épreuve
du labyrinthe,
interviews by Claude-Henri Rocquet, Pierre Belfond, Paris, 1978, p. 175;
translation in English: Ordeal by Labyrinth, University of Chicago Press, Chicago, 1982.
[14] George Steiner, Penser
Europe, in L'Europe
en quête d'harmonie,
Rencontres Européennes de Clichy, La Maison sur le Monde, 71250 Mazille,
France, 2001, pp. 42-68, edited by Aude Fonquernie.
[15] Adonis, La
prière et l'épée - Essais sur la culture arabe, Mercure de France, Paris, 1993, pp. 143-146,
translation from Arab by Leïla Khatib and Anne Wade Minkowski.
[16] Raimon Panikkar, The
Intrareligious Dialogue, Paulist Press, USA, to be published ; Le dialogue intrareligieux, Aubier, Paris, 1985, translation
from English by Josette Gennaoui ; Entre Dieu et le cosmos, Albin Michel, Paris, 1998,
interviews by Gwendoline Jarczyk.
* Opening talk at the 6th International Congress on Philosophy and Culture « Differentiation and Integration of Worldviews: Dynamics of Dialogue Between Cultures in the XXI Century », Sankt Petersburg, Russia, November 2003, Russian Academy of Science, published in Differentiation and Integration of Worldviews, series «International Readings on Theory, History and Philosophy of Culture» n° 18, Eidos, Sankt Petersburg, 2004, edited by Liubava Moreva, p. 139-152.
[1] The expression "included third" is more precise. However, in order to respect the well-established terminology in logic I will keep, in the following, the name "included middle".