13. Balanced - (Phi-) Trees:
The Hierarchy and Histio-logy of Noo-logy
http://www.noologie.de/symbol14.htm
(URL)
Andreas Goppold, Postf. 2060, D-89010 Ulm, Germany
Tel. ++49 +731 921 6931, Fax: (Goppold:) +731
501-999
13.1. Introduction: The Hierarchy and Histio-logy of Noo-logy
"to gar auto noein estin te kai einai"
(verily, knowing and being are the same)
With a paraphrase borrowed from Kant, we can express a core
aspect of knowledge thusly:
Facts without interconnections are useless,
interconnections without facts are hocuspocus (hoc est corpus). (See also:
Lippe 1997: 145). It can be said that the theology dominated scholastic
intellectual pursuits of the olden times (philosophia ancilla theologiae) had
problems of the latter kind, producing elaborate edifices of verbiage, which
were entirely logical and consistent, but aloof of any factual connection,
culminating in the proverbial dissertation theme: "how many angels can dance on
a pinpoint" (Lippe 1997). On the other hand, the copious "publish or perish"
productivity of millions of industrious scientific workers worldwide tends to
produce a problem of the former kind, leading to an impenetrable and mountainous
accumulation of admittedly solid factual knowledge whose useability is seriously
diminished by its sheer amount, and non-standard documentation and retrieval
methodology. (See also: Dahlberg (1974: 1-6); Goppold
(1999a)
[42]). In the same vein, one could state
that
details without perspective and overview are myopic, and
consequently of little practical value. Here the necessity for a
meta-science, which in earlier times had been
philosophy
(
meta-physics: Heidegger (1970-1977b)), arises, which we could call
"
Noo-logy". Although it is related to
Knowledge Organization,
there are some differences. The perspective presented here is strongly
influenced by a philosophical anthropological approach, as was developed by
Ernst Cassirer in his "Philosophy of Symbolic Forms" (1954-1994). He had worked
in Hamburg before he was driven into exile by the Nazis. Further, the present
view is strongly influenced by the "pattern that connects" method of Gregory
Bateson, from whence we derive the focus on
Histio-logy, which is the
project to formulate the systematic abstract study (the "-logy") of all sorts
and kinds of "patterns that connect". Besides
interconnection, the other
essential ingredient of
Noo-
logy is
Hierarchy and
Categorization (Satija 1998: 32-33). Since Cassirer based his work mainly
on Kant's, the present perspective also incorporates these aspects of Kant's
"architectonics of pure reason" (Kant 1930, A832/B860)). In order to create a
consistent terminology (ethics of terminology: Peirce (1931-1958: CP 2.220);
Goppold (1999a)), we will recur as much as possible to the Greek terms:
hier-
archia takes its roots in the highest (
hiero-)
principles (
archai) and
histio-logia is the
systematics of
interconnection (
histio- /
histo-: everything connected with
(inter-)
weaving).
Hier-archia and
Histio-logia need to be
balanced in a consistent manner, and for this we make an allusion to the
database engineering term (balanced B-trees). This indicates also that
time is a most essential (and most consistently forgotten) factor. A fact
not found in time (for a problem to be solved), might as well not exist in the
universe of knowledge. The letter
(Phi) abbreviates in our
context the combination of the Greek concepts of
phrenae (brain),
philo-
sophia, the sensory impressions:
phainomenon,
phos,
phonae, and the
physei-
logia for the Nature,
which comprises both the living (
phyein)
, and the
material (
physics). With the
phainomenon, and the
aisthaesis, via its dominant factors
phos (light), and
phonae (sound), we gain knowledge (
noos,
nous,
noesis,
noumenon) of the world (
physis). (Aristoteles
(1976), (1978); Bröcker (1974); (Heidegger (1970-1977b); Klages (1981, I:
57-60); Meulen (1968); Picht (1987)). A discussion of the ancient mythical
understanding of the
physis, and its complementary balance factor, the
lysis, and the
histio-logia, is found in Bachofen
(1925).
13.2. Kinds of Knowledge
The old limerick: "I am the dean of this college, and what I
don't know, isn't knowledge" describes in a somewhat pointed fashion a possible
problem concerning the definition of knowledge by the Academics. Through their
practical work, the Academics as a social body and tradition of professional
knowledge workers have established a matter-of-fact definition of knowledge,
exactly what was generated in their productive history. Academic knowledge
production does not happen in a celestial sphere of "pure reason", but is a
social enterprise, and is strongly influenced by factors of social dynamics,
which can be studied with a cultural anthropology of science, as is explicated
in Goppold (1999a)
[43], also: (Illich 1978,
1980). Quite understandably, the "academic" kind of knowledge centres around
what can be written in books, and be described with a language of sorts
(including mathematical, musical, chemical, etc. symbolisms). This kind of
knowledge, which may also be called "conceptual knowledge", is consequently the
subject of the mainstream of works in the academic discipline of Knowledge
Organization, like Dahlberg (1974, 1993), or the majority of contributions to
conferences like this one. In the Kantian sense of "what can we
know?",
let us start therefore with a short overview of the different "
kinds of
knowledge" and embed them into a general framework.
13.3. Pattern Transmission Classes
Let us coin the term "Pattern Transmission Classes". This is
explicated as follows: In the present context, the word "Pattern" designates
the most general principle of order, regularity, and structure, which
separates the Cosmos from the Chaos, on which not only the sciences, but also
human society, and in the wider sense, life, and the lawfulness of the universe,
are based. Pattern is the "raw material" of neuronal processing happening in our
brains,
below, and a few milliseconds
before our working
consciousness experiences the "
phainomena" and "
noumena", the
Gestalten of discernible impressions and thoughts.
(Barrow
(1998: 5-6, 57-58, 89, 190-193); Bateson
(1972), (1979); Breidbach (1993-1997); Bresch (1980); Goppold (1999d);
Riedl
(1980-1990); Schunk
(1996); Spengler:
Morphologie der Wissenschaften (1980:
548-553)).
Allott (www) quotes a recent re-definition of
mathematics:
"A contemporary definition is that
mathematics is the science of pattern and deductive structure (replacing an
older definition of mathematics as the science of quantity and
space)."
Viewed from a thermodynamic perspective, the main
characteristic of life is: the activity of self-replicating dissipative
structures, to maintain their patterns against the entropic force of
dissolution, to propagate them, and to evolve them to greater complexity.
This view has in an earlier version already been formulated by Spinoza
(Hoffmeyer (1996: 138)). The genetic material transmitted in the organisms of
the biosphere can be abstracted as a "Pattern Transmission Class" defined by the
laws of the phylogenetic transmission as spelled out in molecular genetics.
The present formulation derives from statements of various
workers: Schrödinger
(1946: 68-75) ch. VI:
"Order, disorder and entropy"; Frei Otto
:
"Naturverständnis" (1985: 30): "Jede lebende Ordnung ist der Tendenz zur
Destruktion abgewonnen."
Gumilev
(1990: 198):
... "lightning is energy, in my language anti-entropic impulses that with their
rise disrupt the processes of death, the entropy of the Universe. Force, the
cause provoking acceleration, saves Cosmos from conversion into Chaos, and the
name of this force is Life. But in the eternal war of the protogenic elements,
the servants of Kronos, the hundred-handed giants or asura (Sanskrit), lose
nothing because they have nothing to lose. Kronos changed their appearance every
second, and so deprived them of personal qualities and
properties."
Biological organisms don't "know" about knowledge, but in a
wider analogy, we can view the genetic transmission of their DNA patterns as the
means to preserve the vital memories of their ancestors about the tasks of
successfully surviving in the biosphere, to the future generations. This is a
kind of "embodied", or somatic, "knowledge" that we humans share with all the
organisms in the biosphere. (Hofkirchner (1997); Hoffmeyer (1996-1998);
Semiotica (1998); Vernadsky (1930, 1997)).
The special "kind of knowledge" that humans transmit across
the generations is the cultural and symbolic material of the semiosphere,
the noosphere, and the ethnosphere, as this pattern transmission
class has been characterized by various writers. (Lotman (1990); Gumilev (1990);
Hoffmeyer (1996-1998); Hofkirchner (1997)). There exist some overlaps and
conceptual variations of defining the borders between higher animal behavioral
non-genetic transmission and the specifically human cultural domain. (Gumilev
(1990); Lock (1996); Callahan (www); Prehist (www)). Especially the higher apes,
like Bonobos, show a wide range of transmissions of learned behavior of which we
will probably never know the true extent, since they are just now being
extinguished in their native habitat Africa. (Waal 1995).
13.4. A Perspective Ordering of Pattern Transmission Classes
"Our virtues lie in the interpretation of
the time."
(Shakespeare, Coriolanus, IV, 7.)
If we take the stance of a temporal perspective view, looking
back into the past, we can discern the following order of pattern transmission
classes which can be arranged, cum grano salis, in a logarithmic scale of
factor-ten steps (except the last one):
Looking at this "Perspective Ordering of Pattern Transmission
Classes" we realize that it constitutes a kind of categorization and
systematization by an (admittedly) unconventional framework, which is, like all
conceptual frameworks, arbitrary (Satija 1998: 32-33). Its useability is
governed largely by pragmatic factors. We have constructed a hierarchical
ordering scheme based on temporal factors. This differentiates it from
the more common classification schemes of the "Arbor Porphyricus" kind as
described in Dahlberg (1974) and Eco (1993: 233, 229-298). In terms of the
present title, we have a hierarchia and a histio-logia of "kinds
of knowledge" whose connectivity (histio-logia) rests on the fact that
the newer (higher) strata are based on and embedded in the older ones, and the
ordering principle (the hierarchia) is according to the time axis and
speed and variability of transmission. Thus the academic "kind of knowledge" is
embedded in the more general class of cultural transmissions of humans, which is
furthermore embedded in the behavioral transmission of animals, which is again
embedded in the phylogenetic transmission of organisms.
13.5. The geospheric embedding of Pattern Transmission Classes
According to Vernadsky and his
succes
sors, we can alternatively picture this
embedding in a geospheric projection scheme (Vernadsky
(1997: 26), Vernadsky
(1930)). This scheme is, of
course, patterned after the old Ptolemäic cosmology.
(Spengler
(1980: 621); Spektrum d. Wissenschaft, Jan.
1993, p. 84: Schädelsche Weltchronik von 1493; Lippe (1997: 181, 187)). In
Lippe's work, we also find an elaboration of how the ancient conceptual patterns
repeat or recur in modern intellectual history. In the following diagram, the
parentheses are to be read as circle segments:
(Cosmo- (Iono- (Strato- (Atmo- (Hydro- (Litho-
(Geo-sphere)))))))
(Bio-sphere)
Since the biosphere is mainly water based, it can be viewed as
an extension of the hydrosphere. It contains the following
sub-spheres:
(Bio- (Oeko- (Semio- (Anthropo- (Ethno- (Noo-
sphere)))))
In this view, the oekosphere is mainly another aspect
of the biosphere, what could also be called the "inter-organic" domain, ie. the
mainfold of all (energetic, material, chemical...) connections and relations of
all organisms with all others. The semiosphere is the mainfold of all
sign exchange processes of all organisms. The anthroposphere after
(Gumilev (1987: 360)):
"In this perspective mankind is regarded as
a certain covering of the planet Earth or as part of the biosphere... the
anthroposphere... the biomass of all people together with the products of their
activity... domestic animals, cultivated plants... the anthoposphere is ... a
mosaic [consisting of] ... collections of persons."
The
ethnosphere is the mainfold of all human cultural
patterns after Gumilev
(1990: 175), and the
noosphere is the mainfold of all higher human symbolic activities.
(Vernadsky
(1997: 155),
Hofkirchner
(1997)).
13.6. Noo-logy and Kalypto-logy
A
Noo-logy (dealing with the things that can be known)
needs to be balanced by a
Kalypto-logy (dealing with the things that are
presently unknown or that can never be known, and the reasons why they are, or
can not be, known). This, the explication of the
not-knowing,
especially on the side of the experts, whose power rests on their claim
to authority, constitues an important aspect of the "
ethics of noology".
In contemporary scientific discourse, Barrow (1998) gives an account of the
practical and principal limits of knowledge. The unknowable appears in the most
ancient statement of Greek philosophy, by Anaximandros, as the
apeiron:
"
archaen ... eiraeke ton onton to apeiron" (The origin of being things is
the
unbounded, the
apeiron). (Diels
1954, I:12); (Pleger
1991: 61);
(Heidegger
1976b: 242). The Greek word stem
kalyp- (
veil) and
kalyx- (seed husk,
calyx) denotes
the hiding of things by a
veil or a
cover. The
Apo-kalypsis
of St. John thus is an account of
un-veiling (also revelation) in the
Christian mythological record. In the Greek Homeric mythology, the veiling power
is personified by the nymph
Calypso on the island of
Ogygia, the
Omphalos of the
Thalassaean sea (Dechend 1993: 183-185, 193, 269,
324). This is also the hiding place of the God of Time,
Kronos, in
Plutarch's account (Dechend 1993: 121). And it is the place where
Odysseus spent seven years of captivity before being released to his
final homeward journey. In one of the founding accounts of the ancient Greek
philosophy, the
proimion of Parmenides (1974: 8), the
veiling -
unveiling polarity is described in : "
prolipousai dômata, eis
phaos, osamenai kraton apo chersi kalyptras" (leaving behind the house of
night, and forcefully removing the veil from the head). Connected with this, we
can easily find the mythological connections of the philosophical term
alaetheia, and the mythic personification of
death-forgetting, the
laethae, in Hesiodos (Theogonia, 1978: 60-61) weaving around the
"children of the night" the
nyx: death, sleep, dreams, and other humanly
ills.
The things that cannot be known are dealt with in
my-thology, and my-sticism (from mytheomai: to speak, and
myein: to close (Gebser (1973: 112); Campbell (1996)). In view of the
Christian tradition, the human drive for noesis needs to be
counter-balanced by divine revelation without which all human striving is
futile, as given in the accounts of St. Augustine and St. Thomas Aquinas.
(Cassirer 1960: 20-25). Key terms for the kalyptic aspect of God are the
theologia negativa and the Deus absconditus, as found in the work
of Dionysios Areopagita. (Cassirer (1960: 25), Lippe (1997: 46-48, 53, 60-62,
64, 66, 67,...)). The essential "knowledge" factor of the conceptually
unnameable appears as focal issue in the work De docta ignorantia of
Cusanus (1964), Stadler (1983).
13.7. Time, storage, performance, and the pragmatics of knowledge
"It requires a very unusual mind to
undertake the analysis of the obvious."
Whitehead (1967, 4)
In the gist of Whitehead's statement and Bateson's metalogues
(1972: 3-58), (1986), we will make a short enquiry into the question: "What is
knowledge about and what is it for?" In the academic world, knowledge is often
treated as an "end in itself", as expressed in the principle of academic freedom
of research. It is produced in the lab setting or in archive research, written
up in a conference paper, such as this one, and then, archived in some library
basement, to be duly included in one's vita and publication list for academic
advancement, in reverence of the publish-or-perish principle. In the
world of day-to-day pragmatic requirements, and of sheer survival, knowledge is
that essence of hard-won experience and learning which has been handed down not
only through the countless generations of human ancestry, but, as was shown
above, also in the organic genetic lineage right from the very start of life,
about 3-4 billion years ago. Knowledge is an aspect of the more general
phenomenon of memory. Cassirer (1960: 68-69) cites Hering: "Memory is to
be considered a general function of all organic matter." Bateson thematizes this
in his metalogue on instinct (1972: 38-58).
The
kind of knowledge that the academics are concerned
with is a subset of the more general class of
cultural memory, as
described in the works of Assmann&Assmann (1983-1993), Bergson (1919),
Connerton (1989), Halbwachs
(1985),
Harth
(1991). It is
excarnated knowledge
(Assmann 1993), that is, divorced from the human somatic (bodily, incarnated)
carrier and inscribed into/onto a carrier material, mostly paper, or, as in
computers, on magnetic disks and CD-ROMs. What we find written in books, are
(mostly) black marks on white paper, strictly speaking: "data", and it is not
really "knowledge proper", until it is converted back into "living knowing"
inside a person's head to be used in the processuality of lived life. (Cassirer
1960: 68-69). It is very easy to confuse the data written in books with "living
knowing", and a similar, related confusion is currently under way, with grave
consequences: the misapprehensions of the "information revolution" which derive
from the obscuration of the vital difference between "being informed about
something important" and the quantitative measurement of data transmission
channel properties defined as "information" by Shannon and Weaver (1971).
(Hoffmeyer 1996: 62-67). The pragmatic deficiency of the mathematical concept of
"information" has been widely noted and there are many attempts to remedy it.
(FIS94, FIS96; Kornwachs (1984-1997); Stonier (1992, 1994)).
Since the academic "kind of knowledge" is mainly bound to
static storage devices, its representation is adequate for the static aspects of
our world, mainly the "things", or "objects". On the other hand, static
representation is incommensurable with process, the essence of lived life.
Conceptual knowledge is incompatible with movement and dynamic patterns. (Radwan
1999). Anyone who doubts this, is cordially invited to try to learn a Tai Chi
form from a verbal written description of its movements alone. So, while there
are academic departments dealing with dynamic pattern transmissions, like
theater, dance, and music, they cannot enshrine their "knowledge" in books in
the same way as it is possible in law, history, mathematics, and so on.
13.8. The Bibliosphere, and the crisis of witing
It is universally noted (Dahlberg (1974: 1-6); Kiel (1993:
71); Lévy (1996)) that humanity is presently being inundated with
exponentially rising quantities of excarnated data, while the basic human "data
processing" speed of reading has remained at the same "biblical" capacity of
about 50 alpha-chars/sec for the last 5000 years since the invention of writing.
For the purpose of visualizing the immense weight of the written cultural memory
of civilized humanity, we will make a quick calculation. The term
bibliosphere is introduced here as a comprehensive concept of the whole
universe of written productions in books, manuscripts, newspapers, magazines,
files, shards, inscriptions, murals, etc., that humanity has produced in the
last 5000 years of writing civilizations. The existing material is archived
mostly in our libraries, museums, government-, and church archives. A very rough
estimate of the amount of this material is several billion (n* 10
9)
different books and writings (Veltman
1997). We
standardize this amount to "normed books" with about one million (one mega)
chars, and each occupies a volume of about 1000 cm
3. For an estimated
2.5 billion books, we would need 2,500,000 m
3, and if we look around
for a building of comparable volume, the Cheops pyramid would fit in nicely with
its 230 m ground width and 147 m apex height amounting to about 2,500,000
m
3 of stone. Let us now consider the average human reading spead of
about 50 chars/ sec, which translates into about 1,500,000 years needed to read
our amassed human biblio-productions. It would be very helpful if there were a
device or a method that would allow us to read (and understand) all that mass in
a considerably faster way. No such alternative is in view, because of the
limitations of the alphabetic principle and the human cognitive system. With
this, we are reminded of the warning of Platon
in
Phaidros, about the hidden dangers of writing. (Platon
1988, Phaidros, 274c-275):
"this discovery of yours will create
forgetfulness in the learners' souls, because they will not use their memories;
they will trust to the external written characters and not remember of
themselves. The specific which you have discovered is an aid not to memory, but
to reminiscence, and you give your disciples not truth, but only the semblance
of truth; they will be hearers of many things and will have learned nothing;
they will appear to be omniscient and will generally know nothing; they will be
tiresome company, having the show of wisdom without the
reality."
The sheer amount of the amassed human biblio-productions
brings us into a knowledge problem of a special kind: With the rising disparity
between the human reading speed and the amount of written material, the average
human has no more the lifetime to search out relevant "information" from the
available data sources except for an ever diminishing slice which she may call
her field of specialization. The effect is, that a general ignorance about
"matters of the world" is rising rapidly, since the cost factor of accessing and
mining the mountains of written data approaches the cost of originally
generating the knowledge itself. The most serious consequence is the loss of
"the patterns that connect" (Bateson), the combination of overview and
insight that Leibniz still enjoyed to a large degree, and that Goethe still
tried to envision (even though he had lost the mathematical and physical
sectors).
13.9. Continuation
Continuation material is in the companion paper: Goppold
(1999c)
13.10. Bibliography
is situated in:
Goppold, A.: Hypertext as a practical method for balancing the
Hierarchy and Histio-logy of Knowledge, ISKO '99, Hamburg 23.-25.9.1999,
(1999c)
http://www.noologie.de/isko.htm
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http://www.noologie.de/symbol09.htm
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[43]
http://www.noologie.de/symbol09.htm
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