Co-creation, the motor of natural evolution and social health [1]
Hector Sabelli, M.D., PhD.*
Chicago
Center for Creative Development
“All is number.” Pythagoras
“ …the
universe is written in the language of
mathematics, and its characters are triangles, circles, and other geometric
figures, without which it is humanly impossible to understand a single word of
it.”
Galileo
Galilei.
“War is the Father and Peace
is the Mother of all things.” Heraclitus.[2]
"Matter
at each level of complexity appears to consist of two interdependent nonidentical elements in dynamic interaction and in
integral relationship to each other. It appears that an interaction, dynamic
asymmetrical binary relationship is the fundamental module of order in the
cosmos. (…) This may account for the
trend toward increasingly complex relationships in all forms of matter and even
the importance for close and harmonious relationships among human beings.”
Jonas Salk, discoverer of the first safe and
effective polio vaccine
“Wherever
the art of medicine is loved, there is also a love of humanity”
Hippocrates
“Medicine is a social science, and politics is
nothing but medicine on grand scale.”
Rudolf Virchow, founder
of cellular pathology and of social medicine.
Abstract
This work presents the thesis that natural creativity is the causal motor
of evolution and history. Natural and human processes are biotic (life-like)
and creative. They result from simple and well defined causes, rather than
random changes, and create diversity, novelty, and complexity. These processes
can be changed by modest additions of input such as human action. On this basis, this article develops a set of
six hypotheses that sketch a theory of natural and human evolution. These
principles are: (1) Causal action: action (energy and matter continually
changing in space-time) is the fundamental constituent of reality. (2) Opposition is universal, bipolar and creative.
(3) Triads of complementary entities co-create tridimensional matter, stable
structures, and complex systems. (4) Natural creation: Creative mechanisms are
key component of physical, biological and human processes. (5) Changes in quantity generate changes in
quality and complexity, and changes in complexity generate changes in quantity.
(6) Processes are organized hierarchically according to their rate of energy
flow, their mass and size (matter) and their complexity (information). These
three hierarchies are related but different. Each hierarchical relation is
bidirectional, one pole predominating in one respect and the other
predominating in a different one (priority and supremacy).
These principles provide
a method to promote social health.
Introduction
Creation is the generation of novelty, diversity and complexity.
Creation, as used here, is the generation of information, not the creation of
energy and matter that is excluded by the physical laws of conservation. A
decrease in entropy is a sign of creativity, just as increasing entropy is a
sign of decay.
Social health is an evolving concept that at present comprises
ecological, public and personal health, peace, the end of poverty and abuse,
medical care, education, personal freedom, and the pursuit of these goals by
non-violent means. Health is defined
as progress reflecting the therapeutic perspective of medicine rather than
economic criteria.
Grounding social health on science is necessary because human action can
only be effective when it fits reality. Mathematics and medicine, the oldest,
most comprehensive and most practical sciences, are fundamental; social reality
is wider than the narrower perspective of economics that dominates sociology
from Adam Smith to Marx to current financial discourse. Conversely, applying
general principles to human issues clarifies how our mental ideas influence how
we think about scientific research.
The concept of natural creativity is formulated as a set of six
principles[3]
that describe the organization of natural processes and prescribe how human
action and thinking can be rational and effective. While connecting to previous
work, these six principles are here formulated anew.
Methods
We developed methods to quantify temporal complexity (shifts from one
morphological pattern to another), novelty (lower recurrence rate than
randomized copies of the data), and diversification (increase in variance with
longer sampling of the series or higher embedding). These methods are published
in scientific journals [1-16] and have been applied to a wide variety of
natural and human process as described later. They are illustrated in Figure 1,
where the results obtained with heartbeat series are compared with paradigmatic
examples of fractal series.



Temporal complexity, novelty, and diversification are evident in random
walks and a newly identified pattern, Bios, and they are absent in stationary
periodic and chaotic series. We thus interpreted non-stationarity,
temporal complexity, novelty, diversification and relatively low entropy as
evidence for creativity (Table 1).
|
Table 1. Characteristics
expected in creative processes and observations made in
various types of processes. |
|||||
|
|
Random |
Steady state |
Periodic |
Chaotic |
Biotic (empirical or mathematical) |
|
Repetition a |
Frequently
low |
All |
One
half or less than maximal |
Less than
periodic |
Less
than chaotic |
|
Point to point change |
yes |
no |
yes |
yes |
yes |
|
Statistical stationarity |
yes |
yes |
yes |
yes |
Non-stationarity |
|
Pattern (form) |
Erratic |
Convergence to
steady state |
Convergence to
periodic attractor |
Convergence to
chaotic attractor |
Erratic |
|
Pattern stationarity |
yes |
yes |
yes |
yes |
Temporal complexity b |
|
Diversity |
|
None
|
stable |
stable |
Monotonic
increase (diversification)c |
|
Diversification |
Baseline |
No |
No |
No
|
Yes
|
|
Recurrence |
Baseline |
Maximal |
High, higher than
randomized copy |
Less than
periodic, higher than randomized copy |
Less than
randomized copy (novelty)d |
|
Entropy |
Near
maximal |
Minimal |
Much less than
maximal |
Maximal |
Relative decrease (less than maximal)e |
|
a. H. Sabelli, M.
Patel, and V. K. Venkatachalapathy, “Action
and Information: Repetition, Rise and Fall”, Journal of Applied System Studies, vol.
5, no. 3, pp. 67-77, 2004. b.
H. Sabelli and A. Abouzeid,
“Definition and Empirical Characterization of Creative Processes”, Nonlinear
dynamics, Psychology and the Life Sciences, vol. 7, no. 1, pp.
35-47, 2003. c.
A. Sugerman and H. Sabelli,
“Novelty, Diversification And Nonrandom Complexity Define Creative
Processes”, Kybernetes, vol. 32, pp. 829-836,
2003 d. H. Sabelli,
“Novelty, a Measure of Creative Organization in Natural and Mathematical Time
Series”, Nonlinear Dynamics, Psychology, and Life Sciences, vol. 5, pp. 89-113,
2001. e. H. Sabelli, “Biothermodynamics”, Open Cybernetics and Systemics Journal (accepted for publication). |
|||||
Temporal complexity, the change from one pattern to another,
characterizes creative patterns, while stationarity
is characteristic of stable organization. Increasing diversity with a sample of
longer duration of the (global diversification) or higher embedding (local
diversification) is expected in creative processes. Likewise creative processes
can be expected to have less recurrence (repetition of vector of consecutive
terms) than randomized copies (novelty).
We developed a simple way to differentiate causally generated (chaos,
bios) from randomly generated series by examining the pattern of the series of
differences between consecutive terms which displays pattern in the first case
and is of course random in the latter (Figure 2). This method can be applied to
the analysis of empirical series while standard methods [17, 18] purported to differentiate causal from random series are only applicable
to mathematical series and hence irrelevant to empirical research; in any case,
we already know whether or not we have generated a mathematical series
deterministically or randomly.

Results
Using the methods described above, we found that heartbeat series display
non-stationarity, temporal complexity, novelty,
diversification and relatively low entropy. These features are also observed in
random walks, but heartbeat series differed from them in that their pattern is
generated causally, as demonstrated by the existence of pattern of the time
series of differences between consecutive heartbeats. We thus identified the
pattern of heartbeats as a new pattern characterized by non-random causality and
creativity, that we called Bios [19] (meaning life).
The Bios pattern can be generated by a simple recursion involving
coexisting opposites formulated by Louis Kauffman [20], a cybernetic
enactment of dialectic interaction [21]. This bipolar feedback process
that generates Bios patterns was initially modeled using trigonometric
functions as in the process equation
A(t+1) = A(t) + g * sin(A(t))
where the gain g represents the amplitude or energy of
the feedback, and the diversifying equation
A(t+1) = A(t) + sin(j*A(t))
where the parameter j represents frequency. Bios is also generated by the addition of sine waves; this
enlarges the range of Bios because sine wave patterns are widespread in
nature.

Using the methods developed to study cardiac rhythms, we found that many
physical, biological and human processes also are creative [22-24]. Bios is
demonstrable in fundamental physical processes such as quantum [25, 26] and
cosmological processes [27, 28], in the prime number series [29, 30], in animal
and human population dynamics [31, 32], in economic processes [10, 26, 33-35],
in social processes such as production and unemployment [36], and in music [37,
38]. Examples are presented in figure 4.


These results are the empirical bases that led to the concept of causal
creativity.
These experiments simply illustrate the creativity of natural and human
processes. Actually the mere observation of the wonderful diversity of the
world we inhabit displays everywhere increasing organization beyond repetitive
order. Physical evolution (Friedman, Lemaitre, Hubble),
biological evolution (Lamarck, Darwin) and human history are seamless.
Principles
Causal creativity is formulated as a set of six principles that integrate
and transform basic ideas in evolutionary theory and process philosophy. Thus,
the concepts of coexisting opposites, quantum duality and evolution by
competition and struggle and subsequent synthesis are unified and converted into
the notion of co-creation of bipolar (synergic and conflictual)
opposites that generate cascades of bifurcations.
1.
Causal
action: action (energy and matter continually changing in space-time) is the
fundamental constituent of reality. [36]
Everything that exists is
physical, that is to say material and energetic. (Information and hence
complexity, is encoded by either energy or matter.) There is no separate
substance or new forces in chemical, biological, or mental processes. Changes
in psychological energy are embodied in metabolic changes in the Central
Nervous System. The demonstration that
psychological processes and illnesses actually are physical processes, and
modifiable by drugs, is perhaps the most important philosophical discovery of
the twentieth century.
Energy and matter are
neither created nor destroyed but they can be convert into each other
(Einstein’s famous equation E = m c2) and both are in continuous change.
Matter is composed of rapidly moving energetic changes, and large
concentrations of matter such as stars continuously emit energy. Energy always
flows along asymmetry gradients.
Just as inertia, not
rest, is natural in mechanical movement (Galileo), the change of energy in time
and space (action), not energy, matter, or ideas, is the simplest component of
all material, energetic, and mental processes. To postulate energy rather than
action as fundamental, and then explore how to account for time (perhaps by an
increase in entropy) is the product of a static view derived from ancient
conservative ideologies at variance with empirical evidence.
Action captures the
process conception of the universe advanced in Antiquity by Heraclitus and
central to evolution. (However, describing action as “stationary” conceals
change, which is its essence). But action goes further. All actions produce
change, but not all changes are actions.
Action is self-propelled change.
The concept of action
derives from physics, but it is also central to biology, economics and
psychology. Action is defined in physics as the change of energy in spacetime. Time increases, energy is conserved, transmitted
in spacetime, which includes the unidirectionality
of time. Hence actions cause change. Conversely,
since energy is not created, there is no additional
energy to generate a random event without a preexisting cause. Causality is
indeed observed at every other level of organization, except, it is claimed, in
quantum processes.[4]
Time increases unidirectionally, and space expands in three dimensions,
establishing fundamental and universal asymmetries in the universe that
manifest at all levels of organization (Pasteur’s cosmic asymmetry).[5]
Asymmetry implies change; symmetries are also fundamental but never are
separate from asymmetry. Thus
actions always have a linear component, even when
they display many properties that we now describe as “non-linear”.
In space, actions display
three levels that we observe in the solar system as described by Copernicus: a
central and dense material core with high energy content (the sun), a
surrounding range of lower material density (the planetary system), and an
unlimited range of low energy communication with no energetic
interactions that extends to all galaxies in space and to
the big bang in time. Atoms and “social atoms” (the interpersonal world of a
person) show the same organization.
There are units of action
at all levels (e.g. cardiac contractions, economic transactions, individual
lives, and, from another perspective, atoms, cells, organisms, and galaxies). In particular, for all entities x, x > h, Planck’s
quantum of action. A process is a sequence of actions. Thus both
physical and human processes can and
must be analyzed numerically. As Pythagoras
proclaimed, “All is number.”
The fact that for all x,
x > h implies that there can be no absolute rest, and no absolute
void. Even the vacuum state[6] is not an absolutely empty
space but contains fleeting electromagnetic waves and particles that pop into
and out of existence. Cosmic space is
filled with "dark energy".
Matter gives shape to spacetime both by “curving” it, as detected by the
trajectory of inertial movements near a mass, and by creating negative space
just as architecture and sculpture do; a classic example of negative space or
shapes is the brain-teaser where depending on how you conceive it, you see
either a vase or two faces. The vacuum is continuous but perforated by the
existence of matter. It is like Swiss cheese, continuous and discontinuous. It
has no center and perhaps no boundaries. In contrast, matter has multiple
centers and clear boundaries.
The concept of action is
central in human processes. Taking action as fundamental is cogent from the
perspective of biology and medicine, as life is a process of change and patient
care requires continual action. It is also rational from the perspective of
economics, as prosperity stems from production and work, not from material
wealth, gold, stocks or unused land. The consumption of free energy, the
depletion of energy and matter, pollution, and waste determine the actual
benefit and cost of production. Civilization is basically an energetic
phenomenon. Modern technology has dramatically increased the human use of energy.
Also psychological processes are flows of energy: in fact the density of energy
flow in the human brain (150,000 ergs sec-1 g-1) is much
higher in human brain than in the body, the planet, or even the sun (2 ergs sec-1
g-1). Notably, the free energy flow density increases with
complexity. Psychological energy also circulates between individuals; emotions,
for instance, are shared, thereby creating collective moods and public opinion.
Physical and mental
processes are actions, and hence equally important.
Taking action as a
fundamental principle has obvious social and personal implications. Nothing is
passive. Things do not “happen”: either we or others do them. What we do, as
well as what we don’t do, are actions. We always act, even when perceive ourselves
as passive or when we choose not to act.[7]
The implications of agency are the importance of gaining the initiative, and of
maintaining effort (energy) in time (perseverance).
Actions create human
minds. Acting “as if” changes the spirit, pointed out leading psychologist
Alfred Adler. It is thus essential to consider actions first; whatever fails to
address actions is meaningless. Roads are made by walking. Synapses are made by
thinking. Social movements are made by social action.
Action is a central concept
in sociology,[8] psychodrama and sociatry [39]. Based on the closed system’s model of
nineteenth century thermodynamics, Freud assumed that psychic energy is
constant. Energy could only be
displaced, so symptoms of increased or decreased energy could not reflect
actual changes in energy. For the same
reason, love and self-love compete with each other, as one can grow only at the
expense of the other. We now know that
energy can increase or decrease in open systems such as biological
organisms. Depression is a shortage of
psychological action (energy flow), and mania is an overabundance [40,
41].[9]
Opposition is universal:
electrical charge, acid and base, biological sexes, complementary DNA bases, supply
and demand, abundance and scarcity, cooperation and conflict, true and false.
Unipolar actions coexist with their opposites (e.g. mechanical action and
reaction; inertial movement includes both gravitational attraction and the
expansion of the universe).
Actions as well as
entities are paired with complementary opposites –synergic, conflictual
or both. Newton’s law of action and reaction establishes that the mutual action
of two bodies are always equal and opposite. There are opposing actions (convergence
and divergence), opposite forces (attraction and repulsion), and opposite
objects (proton and electron) and organisms (women and men). Material entities
are paired with their complementary opposites. At the simplest quantum level,
there are two pairs of orthogonal pairs of conjugated opposites (energy and
time, position and momentum). Two values are required to encode information. We
walk with two legs, see with two eyes, and think with two hemispheres. Social
roles often are naturally paired: parent and child, woman and man, manager and
employee, teacher and student, doctor and patient. Likewise concepts are often
paired (tall and short, content and form, quantity and quality). Gender,
classes and many other human processes and organizations show coexisting
opposites.
Just as action in time is
unidirectional, i.e. unipolar, the coexistence of positive and negative
opposites represents bipolarity. All entities are bipolar, i.e. they contain
opposites. Waves are bipolar (e.g. bidimensional
electromagnetic waves). Tripolar and tridimensional
structures include opposites (e.g. color and anti-color of quarks).
Biological evolution
involves predation and competition (Darwin) but also mutual aid as discovered
by the evolutionary biologist and anarchist Prince Kropotkin [43],
symbiosis and endosymbiosis [44].
Opposition is not simply
complementary. Complementarity often is static. The differentiation[10] into
opposites is a simple and fundamental creative process. Opposites are the result and the cause of branching
(e.g. bifurcations) such as differentiation of cells, species, and classes. Differentiation is a universal
phenomenon: rivers divide into branches in deltas, species differentiate,
classes multiply. Cascades of
differentiations, such as the branching of trees or neurons and repeated cell
division, are important in biology and are modeled by cascades of bifurcations
as generated by the logistic map [45, 46].[11]
Cascades of bifurcations can multiply the number of periodicities or generate
chaos [47, 48]. [12]
The differentiation of
opposites precedes and is more effective than the union of opposites as a
creative process, in contrast to the motions of dialectic synthesis or system
formation. The differentiation process is
important in social processes. Ethnic groups and classes differentiate and
multiply, reducing class differences. This is at variance with the hoped for
absorption of classes and of ethnic differences. Opposites also converge
(multiple sources of a river, formation of larger states) so the pattern is a
lattice.
Cascades of
differentiations are a major process for casual creation. Opposites co-create
each other through mutual feedback, and their interaction also creates new
entities.
Opposites may connect more
or less permanently, but they rarely are engulfed into a synthesis or annul
each other as inverses do in mathematical groups.
Opposites alternate and
rotate, generating helical, spiral forms and more complex forms. Rotation is
evident in cosmology and circulation is central to physiology. Opposites also
co-create complex patterns, a concept applicable to personal, social, and
intellectual endeavors.
The standard logic taught
to students and used in computation involves a static view in which opposites are
mutually exclusive. Likewise, traditional ideologies and religions often
portray their beliefs as excluding all others, thereby promoting
discrimination, antagonism and conflict.
The coexistence of
opposites has been established from Greek and Chinese antiquity to quantum
physics, electrodynamics, biology and psychology. Logic should be based on the
logic of nature, not on arbitrary principles such as the mutual exclusion of
opposites (Aristotle-Boole’s logic).[13] If the concept of coexisting opposites is
incorporated into our thinking, it is likely to promote scientific progress and
social tolerance and peace. The coexistence of opposites can be conceived in
terms of the bipolarity of waves rather than as conflict as it has been
described from Heraclitus to Darwin and Marx. Wave theories (Descartes,
Maxwell, Schrödinger), which are central to physics, may provide a scientific
foundation for a harmonic dialectics.
Oppositions include both
cooperation and struggle. Correspondingly, when confronted with conflict,
it is advisable to seek a third option by opposing both opposites, while being
conciliatory as necessary to prevent destruction.
3.
Triads of complementary
entities co-create tridimensional matter, stable structures, and complex
systems. [37, 49]
Space is tridimensional and spacetime
is shaped by matter which curves it establishing the path for inertial
movement.
Matter is stable, qualitatively different from
energy, even if they can convert into each other.
The nucleation of 3 quarks by the strong nuclear force forms protons and
neutrons, the basic components of matter.
Many relatively stable
human organizations such as families (mother, father and child), and government
(executive, legislative and judicial) are structured as triads.
The strong and the weak nuclear forces are tripolar,
displaying an organization analogous (and perhaps homologous) to the visual
colors. In humans, a
triadic organization of three primary factors (and three secondary opposites)
capable of combining in multiple ways observed for visual colors. Each primary color has a complementary
opposite equal to the sum of the other two primaries, and this set of colors
can combine in various ways to create a limitless number of new colors,
including complex browns that include all three primaries. This combinatorial
power, not just the existence of three values, is creative.
Emotions and other complex phenomena also show a chromatic organization,
suggesting that perhaps all of them are expression of a universal triadic
principle already evident in the tridimensionality of space.
Threeness appears necessary for
symmetric and stable form. As tripolarity generates
stability against change, the tripolar nucleation of
quarks may also account in some way for mass, which also is a resistance to
change,[14]
and that is currently attributed to a hypothetical Higgs particle (postulated
by quantum chromodynamics but not been empirically
found as yet).
Reality involves three aspects: structure (matter), process (energy and
work), and communication (information). They
are organized in tridimensional space as in the Copernican model: a material
core, a range of energetic interactions, and a wider field of
communication.
Information itself is triadic: there always is
not only ignorance and uncertainty but also misinformation. Just as opposition consists of two oppositely
directed asymmetries, structure is asymmetry in three dimensions.
The interaction of three or more agents is
crucial to creativity, as illustrated by the ability of three kinds of quarks
to create matter, three primary colors to generate all colors, and period three
to imply infinite periodicities in a specific order (Sarkovskii’s
theorem), which is stated as “period three implies chaos” [50].
Table 2 presents these
common, standard, generic aspects of observed in many processes, simple and
complex. The asymmetric flow of energy in time, the opposition between forces,
and the transformation of matter are three universal aspects of all reality,
from atoms to minds.
|
Table 2. Three generic
forms at multiple levels of organization |
|||
|
Level of organization |
Generic forms |
||
|
|
Action
(energy) |
Opposition
(information) |
Structure
(matter) |
|
Mathematics |
Lattice
theory |
Group
theory and algebra |
Topology |
|
Number
and physical embodiment |
Oneness
and unidirectionality of action |
Bipolarity
of entities and
co-creation of opposites |
Tripolar and tridimensional structures |
|
Physical |
Quantum
of action, work |
Symmetries |
Matter |
|
Biological |
Growth,
reproduction |
Gene
pairs, sexes |
Organisms |
|
Social |
Work,
play |
Generations,
sexes, classes |
Institutions |
|
Psychological |
Behavior |
Emotions,
ideas |
Brain |
Lattices, the algebra of groups
and topology correspond roughly to action, creative opposition and the
evolution of material structures from simple to complex.
Lattices [51] are sets
with an order relation defined as asymmetric and transitive. This corresponds to
sequential order, characteristic of processes (i.e. sequences of actions). Infinite lattices offer an appropriate model
for processes as a growing network with unions for all pairings, but no final
greatest element.
Algebra
studies the rules of operations and relations, and the
constructions and concepts arising from them. The notion of group which is fundamental in nature
(bipolar opposition, orthogonal pairs of opposites, the infinite pairing of
opposites in the circular form of waves as in the electromagnetic force that
forms atoms and carries information) is also fundamental in mathematics because
every element is part of a duality and every two elements combine to form a
third element that is in the group. Thus groups embody triplicity
as well as opposition. Group theory (Euler, Gauss, Galois)
captures only some
aspects of opposition [52]. It may be it is more appropriate to model
opposition by grupoids in which elements combine
forming new elements, every element has an opposite (and/or every class of
elements have an opposite class of elements), and the union of opposites
generates a bipolar element different and more complex than the neutral
identity.
Topology (Euler, Cantor, Poincaré) describing geometric-like forms, allowing
deformation and change, and including triadicity
(e.g. the three color encoding of knots), abstracts the essential properties of
material structure [53]. Topology provides an exact definition of continuity
which is regarded as defining topology, but continuity exists only in association
with discontinuity. Thus form, rather than continuity, seems as the core
concept of topology.
These are triads of
coexisting and persisting entities, as contrasted to the dialectic triad
thesis-antithesis-synthesis.
Triads are also important in human processes, such as the three basic
cognitive structures described by Piaget [54, 55]. Emotions involve the neural
network and neurohormones who mediate them, their
social behavior and display, and the subjective feeling (e.g. acetylcholine,
fight and anger). For Cannon [56],
conflict leads to fight or flight. This dichotomy is modeled as a catastrophe
[57]: when a subject experiences both
anger and fear simultaneously, these opposites do not cancel each other (as in
quantitative theories of opposition), but rather one emotion predominates. The
subject either fights or flees. Actually, mammals confronted with conflict may
also display submission, which normally terminates the aggressive behavior of
the other, avoiding intra-species killing, and generating social
hierarchies. Conflict poses a
trifurcation: fight, flight or surrender [45]. This example has a practical
implication: when you perceive two, consider the possible third.
Fight, flight or surrender may be mutually exclusive behaviors, but often
they alternate, intertwine, and replace each other, according to circumstances.
Their subjective components—anger/rage, fear/anxiety, and
defeat/depression—coexist, consciously or unconsciously, because conflict is
their common trigger. The conflict theory of affect [45, 58] postulates that
rage, anxiety, and depression are pathological manifestations of these three
innate responses to conflict, brought about by external conflicts, and/or
triggered by dysfunctions in the metabolism of the neurohormones
that mediate these emotional behaviors—in this case, the manifested hostile and
depressive behaviors can create interpersonal conflict.
Triads are prominent in artistic archetypes such as Imhotep’s immortal
pyramid. Triadic images of Divinity
are present in almost all cultures. Triadicity
is also eminent in mathematics. The
historical “mother structures” of mathematics are arithmetic, geometry and
logic. The Bourbaki School identified lattice theory,
algebra and topology, three relatively autonomous developments [59, 60] as the
abstract “mother structures” of modern mathematics. Piaget related the Bourbaki mother structures of mathematics to fundamental
cognitive structures developed in childhood, namely three forms of thinking
that are parallel to lattice, group and topology in mathematics.
We related the Bourbaki structures to the three dimensions of the human
body illustrated in figure …, and of the Central Nervous System [36], and to
the evolution of physical forces [28].
Oppositions include both
cooperation and struggle. Correspondingly, when confronted with
conflict, it is advisable to seek a third option by opposing both opposites,
while being conciliatory as necessary to prevent destruction.
While dialectic thinking
focuses on the interaction of opposites in creativity, stressing triadicity may be psychotherapeutic. Black and white
thinking fosters fanaticism and social conflict, as well as neurosis and
depression [58, 61, 62], while thinking in color, or at least in shades of
gray, has been shown clinically to be is therapeutic.
4.
Natural
creation: Creative mechanisms are key component of physical, biological and
human processes. [36]
Physical, biological and human processes include mechanisms that generate
novelty (decreased repetition), diversity (increase variance) and complexity,
as well as mechanisms that generate repetition, uniformity, and simplicity. By
way of contrast, equilibration and periodicities are stable, maximally
repetitive, simple and determined. Random processes represent a baseline of stationarity (as contrasted to diversification and uniformization), repetition (as contrasted to novelty and
increased repetitions) and organization (as contrasted to complexity and
simplicity).
Even simpler physical processes can undo what was typical before and
create new outcomes. Healing after a
wound, brain plasticity after a lesion, and personal resilience after a loss
illustrate the human importance of creativity.
Creation is natural in the cosmos (from Big Bang to galaxies), planetary
life (from unicellular organisms to humans), history (from Stone Age to modern
society) and in each person (from egg to adult and elder). From simple and few
materials, arise many new, diverse and complex outcomes: four physical forces
(gravitation, electromagnetic, strong and weak nuclear forces) generate the
universe; genes produce body and its functions; a limited vocabulary generates
new dialogues, and great literary creations; from a limited set of notes, there
always is new music, dances, and songs. Bios is demonstrated in quantum
processes as described by the Schrodinger’s equation, cosmic gravitational
waves presumably originating 1 trillionth of a second after the Big bang, to
the expansion of the universe and current planetary processes. Creation is not a
single event (Big Bang, revolution); it continues in our times.
While decay increase entropy, creation reduces it
(Figure 3) [63]. Figure 5 shows that entropy is
maximal in ordered, linearly increasing series than in random data, in other
words, in order rather than disorder.

Creation precedes and exceeds decay.
“Creative” is usually understood to be positive, However, whether
physical or human, creative mechanisms can not only be truly constructive (i.e.
truly creative) but they can be destructive or both. But creation by necessity precedes and
surpasses decay, and likewise action must precede and surpass destruction.
Evolution predominates over involutionary processes
such as thermodynamic decay that increases uniformity and repetition and
decreases complexity. In the classic thermodynamics, decay predominates
globally and evolutionary episodes are local and fueled by the overall decay.
While one may explain thermodynamic decay as a process of randomization, its
directionality is determined.
Since creative processes can be destructive, it is thus cogent to
separate the issues of creativity and progress. In fact, the notion of progress
is not particularly connected with creativity. The assumption of progress has
usually been associated with determinism at last since the nineteenth century,
when scientific and social progress became the heart of the Western worldview.
Deterministic progress became associated with the grandiose idea that the
entire evolution of life, even of the universe, was directed to the emergence
of us humans, just as their forefathers had regarded the entire Creation as a
stage for their human existence. Paralleling the notion of a world created by
God as a stage for human life, some physicists advance an anthropic principle
[64, 65].[15]
But challenging the notion of determined progress does not imply that
evolution is not progressive. The physical world that long
preceded chemical and biological processes was obviously simpler. The
history of life reveals a hierarchical structure in organisms, from virus-like
entities to prokaryotic cells, eukaryotic cells and multicellular individuals.
Hierarchical structuring is only one aspect of the growth in complexity, but
one also observes an increased number of different types of parts at a given
level and of the number of interactions among them.
Creativity is causal but not determined; it is contingent on external
interactions –contingent but not accidental.[16]
While relatively stable regularities (“scientific laws”) create and thereby
determine the pathways that may be taken, the particular course of action
actually taken depend on many circumstances (including our own actions in the
sphere of human processes) and thus each time makes history.
Natural creativity is demonstrated by empirical evidence of physical,
biological and human evolution (Figure 4).
Creativity has been specifically recognized in the arts since the
Renaissance, in science since the nineteenth century, and in social and
personal life simultaneously with the development of sociological and
psychological determinism in the 19th and 20th
centuries.
Creativity was explained by supernatural intervention and it is now
explained, among scientists, by random events (a passing meteorite, genetic
mutations, economic events).
Creation actually is the natural consequence of action, opposition, and tridimensionality. Pairs, triads, and larger sets of
processes interact and thereby co-create novelty, complexity and structure. The convergence of actions generates new
processes. Co-creation thus is
the motor of natural evolution and of human processes.[17]
The bipolar feedback process that generates Bios patterns is a significant
example of co-creation. The role of co-creation is highlighted in principles
(2) and (3).
Oppositions are important motors of change in
science, society, and thinking. Regarding social processes, we must consider
the oppositions within and between natural categories of age, sex, class, race,
and nationality, see Sociatry, this issue).
Because processes are
composed of discrete actions and structures are made of particles, the universe
is organized numerically. Numbers encode order, quantity, form and complexity,
so changes in one of these aspects changes the others.
The form of numbers is
revealed by complement plots (sine vs. cosine) of their multiples (figure 6).

Changes in quantity
generate changes in quality [67] and in complexity (this article): Changes in
temperature change the state of substances, lengthening the number of atoms in
a molecular chain changes their chemical properties, the nucleation of uranium beyond a critical mass produces an explosion. Maximal entropy occurs in quantitative “leaps”
from one quantity to another, not in processes of disordering and decay.
Hegel’s law of quantity
and quality applies to the changes from material core to energetic fields to
informational range (figure 7).

Quantitative changes in
age, population and wealth underlie changes in quality in social and personal
processes. The economic and political domination of the Europeans created an explosion
in their number, from 18% of the world’s population in 1500 to 36% in the
1900s. In contrast, there is now concern that the lower rate of reproduction of
Europeans is decreasing its population relative to Asian and African immigrants
in Europe itself.
Increases in population
can either split simple social units (a change in quantity) or increase their
complexity (e.g. formation of clans and moieties) [68].
The occurrence of leaps
should not be regarded as necessary for social progress. Revolution is not the
same as transformation. Reform is both less difficult and more radical than
revolution. Revolutions may not
transform their society, and transformations do not require revolution.
Changes in quality
generate changes in quantity (Engels). Conversely, changes in complexity
generate quantitative changes in physical, social and economic processes (this
article). The attachment of neutrons into atomic nuclei expands their mean
lifetime of less than 15 minutes when free to prolonged stability when bound inside
of a nucleus; conversely, protons, which are stable in empty space, may
transform into neutrons when bound inside of a nucleus.
The Industrial revolution
of 18th and 19th century generated unprecedented growth
in average income and population; qualitative progress in medical and public
health have engendered a great increase in world population in the twentieth
century; changes in the mode of production have produced global warming; the
ongoing computer revolution is expanding social, industrial, commercial, and
production. One may take advantage of the fact that changes in quality generate
changes in quantity to control global
warming and population growth.
The physical and the human world are organized in levels. As energy and
matter are different, the corresponding hierarchies also are different and both
contribute to levels of informational complexity. From the perspective of
energy flow, the hierarchy of complexity evolves from simple and universal
processes (quantum and cosmic processes, which were identical in the primordial
atom) to progressively more localized and complex levels. Simpler and larger
processes create complex local complexity. In contrast, from the systems
perspective that describes hierarchies of matter, complexity arises from the
combination of simpler parts, so atoms are the simplest level and the universe
is the most complex. The systems model splits physical processes at into
opposite extremes. These two views have opposite implications for medical,
psychological and social action. According to the priority and supremacy
principle, social processes precede and create individual processes, while in
the systems view individual processes precede and create social processes.
According to the priority and supremacy principle, social processes precede and
create individual processes, while in the systems view individual processes
precede and create social processes. Thus the priority and supremacy principle
prescribes a bio-socio-psychological approach in medicine and in sociology,
while the systems approach prescribes a bio-psycho-social approach.
The relation between levels of organization is bidirectional, one pole predominating in one respect and the
other predominating in a different one, so simple and complex interact in a
repetitive manner, a creative feedback similar to the interaction of other
opposites. Bidirectional hierarchy describes the relation between levels of
organization (physical priority and personal supremacy), as well as the
relation between simple action (priority) and creative processes (supremacy).
The concept of priority
and supremacy (Figure 8, left) was introduced by Sabelli
and Carlson-Sabelli to integrate the many aspects of
clinical work [61]. It leads to a bio-socio-psychological strategy. The concept
of priority and supremacy is modeled on the hierarchical organization of the
Central Nervous System. The Systems Theory of levels of organization (Figure 1,
right) leads instead to a bio-psycho-social strategy. Systems Theory splits the
physical level into atomic and cosmic while the process view recognizes that quantum
and cosmic processes are intimately related. The size of systems does not
correctly portray complexity, which is greater for cells and organisms than for
either atoms or galaxies.


The priority and
supremacy process is a feedback that generates change (figures 9 and 10) and
may actually be a fundamental mechanism in evolution.



The priority and supremacy bidirectional hierarchy applies to nature, society and logic. In processes, order
involves temporal sequence and its complement, the hierarchy of complexity. In
logic, the objective has priority but the subjective has supremacy. Scientifically, method has priority and ideas
have supremacy over observation and experiment.
The Central Nervous System is organized in levels, from the simpler
spinal cord that channels sensory and motor functions, to the cerebral cortex
that has supremacy of control. The
human cerebral cortex is the most complex system in the known universe.
Correspondingly, the psychological and the personal level are the highest level
of organization. A bio-socio-psychological integrative approach is likely to be
the most effective clinically and socially.
Health issues have
priority, and among them priority resides with infectious diseases –the
struggle of viral and bacterial species against multicellular organisms. While
chemotherapy has an enormous impact in our health and survival, perhaps
vaccines (Pasteur, Salk) play an even more important role.
The supremacy of complexity generates
quantitative growth, as illustrated by the enlargement of the nervous system at
the cerebral cortex level, the expansion of dominant populations (e.g. the
replacement of all other human species by the African Cro-Magnons, the growth
of the European population from 18 % of the world’s population in 1the 1500s to
36 % in the 1900s), and the development of the economy in dominant countries.
The priority and
supremacy principle plays a fundamental role in social processes, as
generations, sexes and classes relate in a hierarchical but bidirectional
manner. Adults have supremacy, but children must have priority. Men, as many
males in the mammalian world, have social supremacy, but women, as all
mammalian females, have priority because of their fundamental role in
reproduction, child rearing, and longer life span. Upper classes, by definition, have a degree
of supremacy, but they depend on the production of the workers.
As result of the
bidirectional exchanges between levels, economic forces are important regarding
generational, sexual, racial, and national divisions, not only regarding
socioeconomic classes. Conversely, cultural issues are important regarding
socioeconomic classes. Feminism
does not struggle against discrimination based on ideologies that regard women
as inferior but against the lower income of women that result from the fact
that much of woman’s labor concerns reproduction (including child rearing)
rather than production. Ageism is not discrimination against the old but the
exclusion of the elderly from productive work.
Conversely, education,
culture and religion are important regarding socioeconomic issues. The supremacy
of the complex often is more powerful than the priority of simpler processes.
Indeed, most persons would regard spiritual matters as the highest level of
organization and also as the source of their beliefs. Religions thus have practical implications,
and unfortunately they often promote unscientific ideas, authoritarian regimes,
conflicts and war, as illustrated not only by Muslim theocracies but also by
Western advanced countries. Religions need not support authoritarian systems
(Moses, Jesus, Vatican II, liberation, feminist and
ecological theology) nor are they necessarily unscientific. Teilhard [69] and Whitehead [70] have
proposed process views of God.[18] I shall not pursue this matter here.
This is an article about creation in nature and practical human enterprises,
not a book about divine creation.
The bidirectionality
of hierarchal relations render crucial to combine socialization and
individuation, attending to the two complementary aspects of each person
(“personalization”) as an alternative to both collective (religion or
socialism) and individualistic conceptions [71].
Discussion
These principles describe
the organization of natural processes and thereby prescribe rational and
effective human action and thinking. Logical thinking and rational behavior
must capture what is true in reality.
How could otherwise be rational and effective?
Specific social applications of these principles are explored in Sociatry and
other companion articles in this issue. This article focuses on principles because
concrete analyses and practical
strategies can only be effective for relatively short periods of time. Social
processes are unending. They create and recreate progress and deterioration.
One cannot solve age, sex, class or ethnic conflicts once and forever. One
cannot resolve current problems at once, nor prevent the occurrence of new
ones. Growth and liberation, both social and individual, will continue to be
tasks for each generation.
Not only is natural science necessary as a foundation for effective human
action, but also examining the social implications of scientific ideas reveals
how social ideologies influence our scientific ideas. Here again we encounter
the bidirectional relation of opposites, in which objective reality has
priority but subjective ideas have supremacy.
As a theory, causal creativity integrates and transforms dialectics [67,
72, 73], cybernetics [53, 74, 75], and systems theory [76, 77]. The concept of
causal creativity is based on the work of many others, combining ideas regarded
as unacceptable or “enemy” ideologies by many, thereby transcending the notion
of conflict as a way of thinking.
The six principles outline a new theory of natural and human processes.
This is the way in which they depart from established or current ideas:
Causal action implies change, which is not included in the static
framework of Aristotelian or Boolean logic. It also implies non-random
causation, at variance with random models in economics and physics, including
quantum indeterminism.
The principle of co-creation of bipolar (synergic and conflictual) opposites that generate cascades of
bifurcations contradicts the principle of no contradiction which is central to
the logic currently used in computation. Bipolar co-creation integrates the
notion of harmony implicit in many religious creeds and the conflict theories
of biological (Darwin) and social (Marx) evolution and the concepts of mutual
aid (Kropotkin), symbiosis and endosymbiosis (Margulis).
Triadic co-creation contrasts with the reduction of matter to energy, and
with the formulation of logic as set theory, which is immaterial and simple,
discounting as unnecessary to consider the three fundamental structures
embedded in Bourbaki’s structures and in
neurobiology.
Natural creation transcends determinism and opposes the notion of
thermodynamic decay which is at best a hypothesis opened to question rather
than a universal law of nature. The “heat death of the universe” postulated by
the prominent 19th century physicist Lord Kelvin, was based on the
everyday observation that objects warm up when they gain energy, but this is
not so for astronomical objects for which gravitation is the main form of
energy. As a star loses energy by radiation, it becomes smaller and denser, and
thereby hotter rather than cooler. As a consequence, temperature differences
increase in the universe, instead of becoming more homogenous.
The quantity-quality-complexity principle contradicts the focus on
quantity championed by positivism, drastically enlarges Hegel’s law, and limits
the significance of fractal scale-free organization.
The priority supremacy principle complements systems hierarchy in
accounting for complexity, and challenges its applicability as a bio-socio-psychological
approach in medicine and sociology. It also rejects idealist as well as
materialistic reductionism (such as the reduction of science to physics,
psychology to biology, and sociology to economics).
The bipolar feedback models for the co-creation of opposites follows the
notion that logic must be mathematical and incorporate many of the
contributions of dialectics, but it departs radically from set theory and from
dialectic materialism. The concept of natural creativity by the co-creation of
opposites and triads is an alternative to several other encompassing worldviews
including:
As simple levels of organization are not eliminated by the
evolution of the more complex ones they generate, so the mean complexity of the
system may not increase, its lower level will remain unchanged, and the only
evident statistical effect of evolution may are an increase in variance. But
this does not negate the development of a new and higher level of
complexity.
The assumption of randomness has a negative effect on human behavior.
While Shannon’s Information Theory took the notion that “meaning is irrelevant”
as its basic assumption, we must bring meaning as the Ariadne’s thread to
understand natural and human processes, and to deal with the massive amount of
information that overwhelms us since it has become easier to generate and
collect data than to understand it.
The core idea is that natural and human processes are causal and
creative, and therefore it is rational to exert our efforts to decide our
future. This is a new concept in science, where natural and social processes
are described as determined by physical law or dependent on accidental change.
Yet creativity is everywhere, from the origin of the universe and the
development of life to our evolving human behavior, ideas, and social
organization. The need to understand creativity has been clear since the
earlier times in human history, as evident in the widespread occurrence and
diversity of creation myths. In recent times, accidental and meaningless change
is a less beautiful and imaginative myth but, as the empirical analysis of the
data shows, no more scientific than earlier fables. The notion that economic
changes are the product of random events provides no tools for action, and
initiated the irresponsible policies led to the financial crisis that started in
2007 and for which there is no end in sight. The notion that social processes
are determined likewise provides no tools, and underlies the mechanical pursuit
of developmental paths pursued earlier. For instance, undeveloped countries
must follow the course of development that occurred in Western societies.
Likewise, and in the Marxist scheme, a society must develop from agriculture to
capitalism industrialization to socialism. Processes are causal but not
determined because something new is created, and furthermore, we can choose
what we create.
This introduces a set of new principles that are scientific and humane.
Their scientific foundations are primarily from medicine and mathematics, but
they have also being tested in physics, economics, and psychology. Their humane
character follows from normal human solidarity, and is made sharper by being
grounded in clinical medicine and psychology.
In contrast, the current economic focus is neither scientific nor
humanistic: it pollutes and depletes the planet and generates chronic wars and
increasing poverty. Its scientific foundations are merely analyses of economic
processes of finance controlled countries without reference to physics,
ecology, biology and psychology, and the policies recommended pollute and deplete
the planet, produce economic crises, generate chronic wars, and increase
poverty and hunger even in the richest countries. The oil fields that sustain
our wealth are a great loss if destroyed, a problem to govern, impossible to
annex, and of limited duration. Many
of our crises are fostered by the thoughtless search for power and wealth which
is described as the core of our cultural heritage.
Exploitation, war, and hunger are described as unavoidable realities, and
justified as the inevitable consequences of economic laws, human nature, or
even of God’s will by those who benefit from them, and the public is
indoctrinated in these views by the media they control (commercial, government,
and religious education, information, news, and entertainment).
The crises we face are said to be the inevitable consequences of the laws
of nature, random change, and chaotic unpredictability. But, when confronted
with unavoidable reality, we can always resort to improbable and unpredictable
creativity. Creativity is improbable but not rare. In fact, fundamental
natural and human processes are creative. The specific changes they generate
may be unpredictable but creativity itself is a fundamental component of
natural and human processes, and it is propelled and guided by simple and
predictable actions. We have to imagine what to do, to think how to do it and
to do it ourselves.
In any case, how “inexorable” are the laws we confront? “Inevitable laws
of nature” and “random accidental processes” are beliefs supported by current
ideologies, not by scientific facts.
Environmental depletion, global warming, increased poverty and
inequality and decrease in global demand, scientific and medical progress and
worsening of medical care, chronic war and terrorism, are not the accidental
consequences of random processes or of chaotic unpredictability, but the
straightforward predictable effects of causal, linear processes, resulting from
human actions.
Unpredictable creativity is not the product of spontaneous improvisation
or chance events that most often are repetitive. Action is necessary for
creation, but most actions are not creative. Spontaneous, “chance” actions
rarely are. Creation requires thinking. Original, improbable, unpredictable
creativity requires us to think anew
Our own actions can thus be creative. Our future is not determined by
inflexible laws of nature or of divinity, nor are we at the mercy of random,
accidental variations. But if our actions are not determined, they may also be
destructive. In the mist of our
progress, our world is immersed in war, economic crisis, and ecological decay.
Poverty is widespread and often severe to the point of starvation. The threat
of nuclear holocaust has not ceased thanks to Muslim terrorists and political
extremists elected in Western democracies.
The pace of ecological decay is accelerating. A few years ago, we felt
the responsibility of saving the environment for our grandchildren. We see now
that we must save it for ourselves.
The USA continues to be involved in chronic wars
and financial crises that sink us into economic decay. In 2010, there are 15
million jobless workers. Diseases once considered all but eradicated in the
United States (many of them childhood illnesses) have re-emerged in the past
several years according to the Centers for Disease Control and Prevention as
result of the declining living standards for the working class.
Given the severity of our current ecological,
economic, social and national problems, profound changes are needed. We need a
fundamental change in our thinking. Economic, political, or ideological changes
are not sufficient. Ecological, medical, and ethical issues must be considered.
There is a moral crisis generated by the government condoning torture. In fact,
we need a new, scientific and humane way to think about human processes. This
is sociatry, a scientific, therapeutic and
comprehensive approach to social issues developed by Moreno [39].
Faced with severe problems, only fundamental
change is practical. Instead our leaders advise us to believe, to follow, to
vote, to shop or to save, to act, to fight, to kill their enemies. Armed with ever more powerful weapons, we may
indeed destroy humanity or perish in the process. The oil fields that sustain our wealth are a
great loss if destroyed, a problem to govern, impossible to annex, and of
limited duration. Our leaders play tough or conciliatory party politics. Afraid
to attempt necessary change, our leaders have squandered not only our wealth
but also our hopes. There has been no difference in their plans to deal with
chronic wars, economic crises, and ecological disasters. The mounting threat of
nuclear war has become an issue for party politics.
Facing squarely the impending nuclear
holocaust, Einstein called for a new manner of thinking as necessary to
survive. To survive we need to think rationally and humanely. Fundamental
change must start with the basic sciences, including both mathematics and
medicine. Few will quarrel with mathematics as necessary. But medicine is not
only the oldest profession (the medicine-priest shaman was the only specialized
role, other than leader, in prehistoric groups) but also the oldest science
(e.g. the empirical pharmacology of prehistoric shamans). The oldest scientific
text is medical.[19] Modern science began with
the work of a physician, Copernicus,[20]
and the empirical method and the numerical-geometric approach were developed by
two physicians, Harvey, who demonstrated the circulation of blood, and
Descartes, a contemporary of Galileo who was the father of analytical
geometry (the
Cartesian coordinate system allows geometric shapes to be expressed in
algebraic equations) and a pioneer
physicist.[21] Descartes practiced
medicine all his life, without charge, and Descartes’ most important disciples, Leroy, La
Mettrie, and Cabanis, were
physicians.[22]
Besides this history,
medicine provides a philosophy for scientific research and human action. Medicine is practical and concrete. It focuses on reality, matter,[23] and change, not on pure
abstractions or spiritual beliefs. A focus on reality diverges from current
strategies according to which implausible models are accepted if they fit
numerically the data. A focus on reality diverges from current strategies
according to which implausible models are accepted if they fit numerically the
data.[24] Also, medicine fosters
comprehensive and humanistic philosophy. This is a welcome departure from the
focus on economic matters that is too restricted and devoid of humanistic
dimensions.
A philosophy is not an addition to research.
It informs how research must be conducted. As we discuss in (6), method has
priority and ideas have supremacy over observation and experiment.
A new approach is needed. A new approach to
our ecological and social problems is needed now. The cost of restoring
our environment will only increase if we delayed even by a decade or two. The
human cost of pursuing peace is small compared to the ever increasing economic
and social cost of pursuing war. “If not now, when?” asked Rabbi Hillel
(ca. 60 BC-ca. 10 AD), and added:
"Do not separate thyself from the community." We should take the problems that affect our
community and our world seriously.
We must take ideas seriously. A very limited
number of empirical studies (that certainly must be enlarged) led us to
consider causal creativity as central to physical and human evolution. This is
a high claim, and many scientists would recoil from formulating such hypothesis
as an unwarranted extrapolation. Further, the notion of causal creativity has
implications regarding logic, psychology and social action. This is another
high claim. Can we extrapolate from scientific experiments to life?
One must be prudent in proposing answers, but
we cannot stop asking questions and posing hypotheses, particularly hypotheses
based on empirical research. We should take scientific research
seriously. We must explore the
implications of empirical findings.
In contrast, scientific thinking has been
dominated by an ideology, sometimes called positivism or empiricism, which as a
principle refuses to consider the meaning of physical experiments, regarding
that as “metaphysics”. “Grand principles” are summarily and strongly rejected.
This is, of course, a principle. Such positivism discourages rather than guide
research.[25]
If we cannot learn from science, from what can
be learn? From politicians, the media, commercial
enterprises, or religious position of one denomination or another? Would
you give up up-to-date medical care, contemporary methods of production,
computers, or communication? If not science, then what ideas should we
take seriously?
We should then attempt to develop a new and
creative way of thinking about our reality based on what we learn from
scientific studies. But, what qualifies you or me to attempt such a task?
We may answer “If not us, then who?”
as did the citizens of Ville Platte, when desperate Americans were escaping
the hurricanes that destroyed New Orleans and devastated Texas and Florida in
2005, and the government sent no help. Local fishermen and hunters were among
the first volunteers to take boats into New Orleans to rescue distressed
residents from their flooded homes. Ville Platte, a poor Cajun and black Creole
community of 11,000 in the heart of French-speaking southern Louisiana, with a
median income less than half that of the rest of the nation, opened their doors
and fed more than 5,000 of the displaced people they called
"company," as the terms "refugee" and "evacuee"
are impersonal and rude.
The 2005 tragedy was repeated in 2010 when the
worst oil disaster in American history resulted from the offshore drilling that
had been declared safe by the government a few days before. Not surprisingly,
the government has not provided funds to its own agencies for a thorough
investigation, still protects the financial interests of the culprit, British
Petroleum, and has not stopped future deep drillings. If not
us, who will protect our shores?
As scientists and as clinicians, we have
specific contributions to make. To construct a different world, we need a new
worldview. Attempting such task may appear overambitious, but to whom could we
entrust this task?
Should we consign this enterprise to
corporations that in the pursuit of profits are destroying the environment and
even consciously increase infant mortality by discouraging breastfeeding in
Africa to sell their products? Should we entrust this task to those who pursue
wealth, “progress” and “development” that often are more destructive than
constructive as a religious mandate? Should we trust economists who focus on
profit and disregard ecological and social consequences, and who in recent
years devised programs of austerity that wiped out the economy of many
countries including our own? Should we entrust this task to the Harvard law
professors who endorsed torture or to its sociology professors who proclaimed a
clash of Christian versus Islamic civilization, and asserted the need to
exclude Mexicans from the USA? Should we entrust this task to the Marxist
intellectuals who did not see the horrors of Stalinism and in to some extent
created its ideology? Should we hand it over to Darwinian theorists who regard
evolution as the result of conflict and survival of the fittest, providing a
(false) rationale for racism and imperialism? Should we trust the press that
swallowed and spread the myth of weapons of mass destruction in Iraq that led
to war? Should we appeal to the Church that recently had to apologize for their
support of bloody dictatorships and dirty wars in Latin America, or to other
Christian leaders, whose fundamentalism supported state terrorism and torture?
Both in the Christian and non-Christian worlds, religion is more often used to
promote war and terrorism than to preach peace.
Likewise, political and economic philosophies
have often been used to support war, tyranny, and gruesome torture. Capitalism
fostered the development of individual freedom and electoral democracy, but is
destroying the environment and now also its own financial bases and has
promoted exploitation and war in Asia, Africa, and Latin America. Communism has
for good reason collapsed in Russia and has been abandoned in China. European
Socialism has promoted the welfare state but offered no real alternative:
British socialists built Asian and African empires, French and German
socialists fought each other in WWI in support of their employers, German
socialism became National Socialism (Nazism), and Russian socialism became the
communist dictatorial empire. Only in Latin America there is a serious attempt
to recreate a new socialist view. Can
there be an attempt to recreate American democracy?
America has a long democratic tradition. It is
not simply capitalism as its champions and enemies portray her, but it is a
living and evolving entity that is developing a sexually egalitarian and
multiracial community even when the election of the first half Black president has not offered any new
policies regarding peace, employment, medical care or the environment.
We need new ideas. We need to find new
foundations. We need to foster the development of socially conscious science. If not us, then who?
This article is a call for action, but not for
action without thinking. This is a call for thinking, for thinking for yourself, but not by yourself: rationality requires
attending to the thinking of others, to learn from them, and sometimes to
protect ourselves.
Conclusion
In summary, a set of hypotheses supported by
limited but real data, and modifiable by future studies, can account for
creative processes in nature and society. This article presents three important
hypotheses, co-creation by pairs and triads of complementary opposites as a
mechanism for causal creativity, and changes in quantity resulting from changes
in complexity, which may be particularly significant regarding the control of
population and global warming.
Natural and human processes are biotic (life-like):
they are creative: they originate with simple and well defined causes (not
random changes), and they generate novelty (initiative, spontaneity), diversity
(of physical processes and structures as well as of age, sex, class, ethnicity,
culture, and ideas), and complexity (scientific, psychological, ideological and
personal). They are readily modifiable by small causes, such as human action.
Our origin is determined. Our destiny is open.
Acknowledgments
I want to thank the many collaborators who
have contributed to the research and discussion of these ideas along the years,
and very specially my main co-workers, Louis Kauffman, Ph.D., Linnea Carlson-Sabelli, R.N.,
Ph.D., and Maria McCormick, who co-created the clinical philosophy program at
Rush University (1979) and supported much of this work.
References
[1] L.
Carlson-Sabelli, H.C. Sabelli,
M. Patel, K. Holm, “The Union of Opposites in Sociometry:
An Empirical Application of Process Theory”, The Journal of Group Psychotherapy, Psychodrama and Sociometry,
vol. 44, no. 4, pp. 147-171, 1992.
[2] L.
Carlson-Sabelli, H.C. Sabelli,
J. Zbilut, M. Patel, J. Messer, K. Walthall, C. Tom,
P. Fink, A. Sugerman, O. Zdanovics,
“How the heart informs about the brain. A process analysis of the
electrocardiogram” in Cybernetics and
Systems ‘94, vol. 2, R. Trappl
Ed. Singapore: World Scientific Publ. Company, 1994, pp. 1031-1038.
[3] H. Sabelli and L. Carlson-Sabelli, “Sociodynamics: the application of process methods to the
social sciences” in Chaos Theory and
Society, A. Albert, Ed.
Amsterdam: I.O.S.Press and Sainte-Foy, Canada: Les
Presses de l'Université du Québec, 1995. (Republished in
СИНЕРГЕТИКА
И ПСИХОЛОГИЯ,
vol. 2, pp. 233-269, 2000).
[4] L. Carlson-Sabelli, H. Sabelli, J. Messer, M. Patel,
A. Sugerman, L. Kauffman,
and K. Walthall, “Process method: Part I. An empirical
measure of novelty differentiates creative organization from static order and
chaos,” in Proc. International Systems
Society, Y.P. Rhee and K.D. Bailey Eds. Kwanak Press, 1997, pp. 1072-1090.
[5] H. Sabelli, “Complement plots: analyzing
opposites reveals Mandala-like patterns in human heartbeats”, International Journal of General System, vol. 29, no.
5, pp. 799-830, 2000.
[6]
H. Sabelli, “Novelty, a Measure of Creative
Organization in Natural and Mathematical Time Series”, Nonlinear Dynamics, Psychology, and Life Sciences, vol. 5, pp.
89-113, 2000.
[7] H. Sabelli, “Arrangement, a measure of nonrandom complexity”, Systems
Analysis Modeling Simulation, vol. 42, pp. 395-403, 2001.
[8] H. Sabelli and A. Abouzeid,
“Definition and Empirical Characterization of Creative Processes”, Nonlinear dynamics, Psychology and the Life
Sciences, vol. 7,
no.1, pp. 35-47, 2003.
[9] A. Sugerman and H. Sabelli,
“Novelty, Diversification and Nonrandom Complexity Define Creative Processes”, Kybernetes vol. 32, pp. 829-836, 2003.
[10] M.
Patel and H. Sabelli, “Autocorrelation and Frequency
Analysis Differentiate Cardiac and Economic Bios From
1/F Noise”, Kybernetes, Vol. 32, pp. 692-702, 2003.
[11] H. Sabelli, M.
Patel, and V. K. Venkatachalapathy, “Action and Information: Repetition, Rise and Fall”, Journal
of Applied System Studies, vol. 5, no. 3, pp. 67-77, 2004.
[12] H. Sabelli and L. Kauffman, “Opposition: Trigonometric Analysis in Time Series”, Journal of Applied System Studies,
vol.5, no. 3, pp. 94-105, 2004.
[13] H. Sabelli, A. Sugerman, L. Carlson-Sabelli, L. Kauffman, and M. Patel, “Recurrence Isometry:
Measures of Novelty, Causation and Nonrandom Complexity”, Journal of Applied System Studies, vol.
5, no. 3, pp. 106-114, 2004.
[14] H. Sabelli, A. Sugerman, L. Carlson-Sabelli, M. Patel, and L. Kauffman, “Embedding Plots: A Tool to Measure
Simplicity, Complexity and Creativity”, Journal of Applied System Studies, vol. 5, no. 3, pp. 115-128,
2004.
[15] H. Sabelli, M. Patel, A. Sugerman,
L. Kovacevic, and L. Kauffman, “Process Entropy, a Multidimensional Measure
of Diversity and Symmetry”, Journal
of Applied System Studies, vol. 5, no. 3, pp. 129-143, 2004.
[16] H. Sabelli, A. Sugerman, L. Kovacevic, L. Kauffman,
L. Carlson-Sabelli, M. Patel, and J. Konecki, “Bios Data Analyzer”, Nonlinear Dynamics,
Psychology and the Life Sciences, vol. 9, pp. 505-538,
2005.
[17] A. Provenzale, L.A. Smith, R. Vio, G. Murante, “Distinguishing
between low-dimensional dynamics and randomness in measured time-series", Physica D, vol. 58, pp. 31–49, 1992.
[18]W.A. Brock,
"Distinguishing random and deterministic systems: Abridged version", Journal
of Economic Theory, vol. 40, pp. 168-195, October 1986.
[19] H.
Sabelli and L. Carlson-Sabelli,
“Process Methods and the Identification of Biotic Patterns of Heartbeat
Variation”, in Proc. 4th Systems Science European Congress,
1999, pp. 493-502.
[20] L. Kauffman
and H. Sabelli, “The Process equation”, Cybernetics
and Systems 29, no. 4, pp. 345-362, 1998.
[21] H. Sabelli, and L. Kauffman “The Process equation: Formulating
and Testing the Process Theory of Systems”, Cybernetics and Systems 30,
pp. 261-294, 1999.
[22] H. Sabelli and L. Carlson-Sabelli, “Bios, a Process Approach to Living System Theory. In honor to James and Jessie Miller”, Systems Research and
Behavioral Science, vol. 23, pp. 323-336, 2005.
[23] H. Sabelli, “Bios
Theory of Physical, Biological and Human Evolution” in Explorations in Complexity
Thinking, K.A. Richardson and P. Cilliers,
Eds. Arizona: ISCE Publishing, 2007.
[24] H. Sabelli, J. Messer, L. Kovacevic,
K. Walthall, and A. Lawandow, “The biotic pattern of
heartbeat intervals”, International Journal of Cardiology vol. 145, pp.
303-304, 2010.
[25]
H. Sabelli and L. Kovacevic,
“Quantum Bios and Biotic Complexity in the Distribution of Galaxies”, Complexity vol. 11, pp. 14-25, 2006.
[26]
H. Sabelli and L. Kovacevic,
“Biotic Expansion of the Universe,” in Int. Conf. Advances Internet, Processing,
Systems, and Interdisciplinary Research,
2003.
[27] G.
Thomas, H. Sabelli, L.H. Kauffman, and L. Kovacevic. (2006). Biotic patterns in
Schrödinger’s equation and the evolution of the universe [Online].
Available: http://www.interjournal.org/manuscript_abstract.php?1161328888
[28] H. Sabelli, J. Thomas, L. Kovacevic,
A. Lawandow, and D. Horan, “Biotic
Dynamics of Galactic Distribution, Gravitational Waves, and Quantum Processes.
A Causal Theory of Cosmological Evolution”, in
Classical and Quantum Gravity: Theory, Analysis and Applications, A.D. Wachter and
R.J. Propst, Eds. Nova Science Publishers (in press).
[29] L. Kauffman and H. Sabelli,
“Mathematical Bios”, Kybernetes, vol.
31, pp. 1418-1428, 2003.
[30] H. Sabelli, “The Biotic Pattern of Prime Numbers”, Cybernetics and Systemics
Journal (accepted for publication).
[31] H. Sabelli and L. Kovacevic, “Biotic Complexity
of Population Dynamics”, Complexity, vol. 13, no. 4, pp. 47-55,
2008.
[32]
H. Sabelli and L. Kovacevic,
“Biotic Population Dynamics and the Theory of Evolution,” in Proceedings
of the International Conference on Complex Systems, 2006. [Online] Available: http://www.interjournal.org/manuscript_abstract.php?82762892.
[33] H. Sabelli,
S. Zarankin, and L. Carlson-Sabelli,
“Opposition: The Phase Space of
Opposites in Psychology, Sociology and Economics”, Journal of Applied System Studies, vol.
5, no. 3, pp. 78-93, 2004.
[34] H. Sabelli,
A. Sugerman, L. Kauffman, L. Kovacevic,
L. Carlson-Sabelli, M. Patel, J. Messer, J. Konecki, K. Walthall,
and K. Kane, “Biotic Patterns in Biological, Economic and
Physical Processes”, Journal of
Applied System Studies, vol. 5, no. 3, pp. 143-158, 2004.
[35] Sabelli, H
and L. Kovacevic, “Economic Bios”, Kybernetes (accepted for publication).
[36] H. Sabelli, L. Kauffman, L. Carlson-Sabelli, A. Sugerman, M. Patel, J.V. Messer, and L. Kovacevic. Bios: A Study of Creation. London: World Scientific, 2005.
[37]
A. Levy, D. Alden,
C. Levy, “Biotic patterns in music,” in Society
for Chaos Theory in Psychology and Life Sciences Conference, 2006.
[38] H. Sabelli, A. Lawandow, and A.R. Kopra, “Asymmetry, Symmetry and Beauty”, Symmetry, vol. 2,
no. 3, pp. 1591-1624, 2010.
[39] J.L. Moreno, Who Shall
Survive? Beacon, NY: Beacon House Inc., 1978.
[40] H.C. Sabelli and A.D. Mosnaim, “Phenylethylamine
Hypothesis of Affective Behavior”, American Journal of Psychiatry vol.
131, pp. 695-699, 1974.
[41] H. Sabelli, “Phenylethylamine deficit and replacement in depressive
Illness,” in Natural Medications for Psychiatric
Disorder, D. Mischoulon
and J.F. Rosenbaum, Eds. Baltimore: Lippincottt
Williams and Wilkins. Natural Medications for Psychiatric Disorders, 2002,
pp. 83-110.
[42]
H. Sabelli, Union of Opposites: A Comprehensive Theory of
Natural and Human Processes. Lawrenceville, VA: Brunswick Publishing,
1989.
[43] P. Kropotkin, Mutual Aid: A Factor of
Evolution. Boston: Extending Horizons
Books, Porter Sargent Publishers, 2005.
[44]
L. Margulis and D. Sagan, Acquiring Genomes: A Theory of
the Origins of Species. USA: Perseus
Books Group, 2002.
[45] M. Feigenbaum,
"Quantitative universality for a class of nonlinear transformations",
Journal of Statistical Physics, vol. 19, no. 1, pp. 25–52,
July 1978.
[46] A. Lawandow and H. Sabelli, “Biotic Dynamics of Animal
and Human Populations: a non-Malthusian Process of Evolution. Creative Mechanisms in Natural and Human Processes”, Open
Cybernetics and Systemics Journal
(accepted for publication).
[47] B.
Mandelbrot, The Fractal Geometry of Nature. San
Francisco, CA: W.H. Freeman and Company, 1983.
[48]E.
Lorenz, The Essence of Chaos. Seattle: University of
Washington Press, 1995.
[49] H. Sabelli and L. Carlson-Sabelli, “As
simple as one, two, three. Arithmetic: a simple, powerful, natural and dynamic
logic,” in Proc. International Systems Society, 40th meeting, M. L. W. Hall,
Ed. Louisville, Kentucky: Sustainable Peace in the World System and the Next
Evolution of Human Consciousness, pp. 543-554.
[50] T.Y.
Li and J.A. Yorke, "Period Three Implies Chaos", American
Mathematical Monthly, vol. 82, pp. 985–92, 1975.
[51] G. Birkhoff, Lattice Theory. Providence, RI: American
Mathematical Society, 1967.
[52] A.
Borel, “Linear
algebraic groups”, in Graduate Texts
in Mathematics, vol. 126, Berlin, New York: Springer-Verlag,
1991.
[53]
L. Kauffman, Knots and Physics.
Singapore: World Scientific, 2001.
[54] J.
Piaget and E.W. Beth, Epistémologie Mathématique et Psychologie. Essai Sur les
Relations entre la Logique Formelle
et la Pensée Réele [Mathematical
Epistemology and Psychology. Essay on the Relations between Formal Logic and
Real Thought]. Paris: Presses Universitaires de
France, 1961.
[55] E.W.
Beth, and J. Piaget, Relaciones entre la lógica
formal y el pensamiento real. Madrid,
Spain: Editorial Ciencia Nueva, S. L., 1968.
[56] W.
Cannon, Wisdom of the Body, New York: W.W. Norton & Company, 1967.
[57] E. C.
Zeeman, Catastrophe theory. Selected papers, 1972–1977.
Addison: Wesley Publishing Co., 1977.
[58] H. Sabelli
and L. Carlson-Sabelli, “Process Theory as a
Framework for Comprehensive Psychodynamic Formulations”, Genetic, Social, and General Psychology Monographs, vol. 117, pp.
5-27, 1991.
[59] F. Le Lionnais, “L'Architectures des Mathématiques”, in Les grands
courants de la pensée mathématique.
Hermann: Histoire de la pensée,
p. 35-47, 1948.
[60] N. Bourbaki,
“Foundations of Mathematics for the Working Mathematician”, The Journal of Symbolic Logic, vol. 14,
no. 4, pp. 258-259, January 1950.
[61] H. Sabelli
and L. Carlson-Sabelli, “Biological Priority and
Psychological Supremacy, a New Integrative Paradigm Derived from Process
Theory”, American Journal of Psychiatry, vol. 146, pp. 1541-1551, 1989.
[62] H. Sabelli, L. Carlson-Sabelli, A.
Levy, M. Patel, “Anger, fear, depression
and crime: physiological and psychological studies using the process method”, Chaos Theory in Psychology and the Life
Sciences, R. Robertson and A. Combs, Eds. Mahwah, New Jersey: Lawrence
Erlbaum, 1995, pp. 65-88.
[63] H. Sabelli, “Biothermodynamics”, Open Cybernetics and Systemics Journal (accepted for publication).
[64] B.
Carter, "Large Number Coincidences and the Anthropic Principle in
Cosmology," in IAU Symposium 63:
Confrontation of Cosmological Theories with Observational Data, Dordrecht: Reidel, 1974 pp. 291–298.
[65] A.R. Wallace, Man's place in the universe: a study of
the results of scientific research in relation to the unity or plurality of
worlds, 4th ed. London: George Bell & Sons, 1904, pp. 256–257.
[66] S. J. Gould, The Structure of Evolutionary Theory.
Cambridge, MA.:
Harvard University Press, 2002.
[67] G.W.F. Hegel, The Logic Encyclopedia of the Philosophical Sciences.
London: Oxford University Press, 1874.
[68] R. L. Carneiro, “The
transition from quantity to quality: A neglected causal mechanism in accounting
for social evolution”, in Proc. Natl. Acad. Sci. U S A. Nov. 7, 2000, vol. 97, no. 23, October 2000,
pp. 12926–12931.
[69] D.
Grumett, Teilhard de Chardin: Theology,
Humanity and Cosmos (Studies in Philosophical Theology). Belgium: Peeters Publishers, 2006.
[70] A.N. Whitehead, Process and Reality.
New York: Free Press, 1978.
[71] H. Sabelli and J. Synnestvedt, Personalization: A New Vision for the
Millennium. Chicago, IL: Society for the Advancement of Clinical
Philosophy (SACP), 1991.
[72] J.
Dietzgen, The Nature of
Human Brain Work. Oakland, CA: PM Press, 2010.
[73]
F. Engels, “Herr Eugen Dühring's Revolution in Science, also known as ‘Anti-Dühring’”, Vorwärts, Jan 3 1877-July 7 1878.
[74] N. Weiner, Cybernetics, Second
Edition. Cambridge, MA: MIT Press, 1965.
[75] H. von
Foerster, Understanding understanding:
Essays on Cybernetics and Cognition. New
York: Springer, 2010.
[76] L. von Bertalanffy, Modern Theories of Development. New York: Harper & Brothers, 1962.
[77] J.G.
Miller, Living Systems. New York: McGraw-Hill, 1978.
*Hector
Sabelli, M.D., Ph.D., Chicago
Center for Creative Development, 2400 N. Lakeview, Chicago, IL 60614,
773-348-5679, Hector_Sabelli@rush.edu.
[1] To
be presented at Winter Chaos, March 2011 and to be published at The Creative
Cybernetics of Human Processes.
Special issue of The
Open Cybernetics and Systemics Journal.
Editors: Atoor Lawandow and
Hector Sabelli (in preparation). A fuller
presentation of these ideas will be published in Sabelli
et al. Medical Reasoning: physical priority and psychological supremacy
in clinical care, science, and society (Nova Publisher).
[2] The second part of this statement
has been omitted since antiquity, but obviously Heraclitus, who always focused
on opposites, must have meant to include both war and peace, father and mother.
[3] Principles, from the Latin term
for beginning, are starting points; they are general scientific “laws.”
Scientific laws are hypotheses to be explored, not fundamental and definitive
facts. A set of related principles is a theory. Here I avoid the terms
“hypothesis” and “theory” because in popular speech, likely to be used by many
in the social field, they carry the implication of speculative and uncertain,
when in fact they are far more firmly established than those usually claimed as
facts.
[4] The conservation of energy, together with the
continuity of action in time, indicates that random events are impossible. All processes are causal sequences of actions
in time and space. The only possible way in which a random, non-causal event
could exist would be an instantaneous, discontinuous change from one state to
another of the same energy, and this appears to be the case for the emission of
an electron in quantum processes. Thus, the Copenhagen interpretation of
quantum mechanics postulates indeterminism. This cavalier dismissal of
causality is surprising. The rate of decay of an atom is fixed and hence
determined; only the emission of each electron appears random. Also, the
emission of an electron by a radioactive atom may appear to occur randomly
(atom à atom + emitted electron), but the reverse process (atom +
emitted electron à
atom) never occurs. Thus causality results from the conservation of matter, the
transmission of action, and the asymmetry of time Many scientists prefer to account for
apparent randomness by our ignorance of the facts. The surprise at the lack of
evidence for causality in quantum processes is a consequence of the claim that
quantum mechanics as first formulated was “complete”, when in fact many
phenomena and particles were discovered later on (e.g. neutrons in 1932, quarks
in the 1960s).
[5] Having discovered the asymmetric of organic molecules, Pasteur concluded that it must result from a universal, fundamental asymmetry.
[6] The vacuum is the quantum state with the lowest possible energy, which has measurable effects; in the laboratory, it may be detected as the Casimir effect (two uncharged metallic plates in a vacuum, placed a few micrometers apart, without any external electromagnetic field, affect the virtual photons which constitute the field, and generate a net force[—either an attraction or a repulsion depending on the specific arrangement of the two plates). In physical cosmology, the energy of the vacuum state appears as the cosmological constant. The energy of a cubic centimeter of empty space has been calculated to be one trillionth of erg. The vacuum state thus is a process in constant flux. The early atomists (Democritus, Aristarchus and Archimedes) regarded matter and void as the two constituents of the universe, but Aristotle and his followers regarded the vacuum as impossible, so matter could not be atomic. The Italian mathematician and physicist Evangelista Torricelli (1608-1647) was the first to create a sustained vacuum. In our times, the existence of large areas of the universe free from matter has been established. As matter clumps into stars, galaxies, and clusters due to the attractive force of gravity, there are places in the universe where matter groups and places where space is devoid of any matter. Some of these holes are a billion light-years across.
[7]
The tragic annihilation of the Spanish Republic and
the ensuing bloody dictatorship were created not only by the Spanish military,
the Church hierarchy, the German Nazis and the Italian fascists, but it was
also co-created by the complicity of English and French “non-intervention”. In
fact the British secret services had furtively
helped Franco to escape from prison and join
the army in Morocco.
[8] Kurt Lewin coined the term “action research” in 1944. He
described action research as “a comparative research on the conditions and
effects of various forms of social action and research leading to social
action” that uses “a spiral of steps, each of which is composed of a circle of
planning, action, and fact-finding about the result of the action”.
[9] Affective disorders illustrate the conjoint
variation of energy and time as feelings of low energy combine with slowness
and even retardation of thinking and behavior in depression, while feelings of
increased energy accompany acceleration in mania. Diminished interest, attention, concentration
and pleasure, fatigue, lower self-love and self-esteem, reduced affection and
sexuality, helplessness, retardation, indicate a lowering of psychological
energy in depression, whereas the increased goal-directed activity, excessive
involvement in pleasurable activities, increased sexuality, decreased need for
sleep, talkativeness, flight of ideas, distractibility, inflated self-esteem
that define mania point to an excess of psychological activity. Corresponding to the interpersonal dimension
of psychological energy, affective illnesses are dysfunctions of interpersonal
affection and love, not only of personal mood and energy. In depression there
is not only a reduction in mood and self-esteem, but also a reduction in
affection, sexuality and solidarity. In mania there is increased affection,
sexuality, and solidarity. There is
something wrong in disregarding interpersonal affect and defining depression as
a mood disorder. Love and self-love are
both increased in mania and reduced in depression.
[10] The biological term differentiation
is used here to refer to what is often called a bifurcation because the term
bifurcation is used not only to refer to the actual splitting of one entity
into two but also to a change from one state to another, including the
splitting of one line into two that switch back and forth periodically or
chaotically.
[11] The logistic map was
described by Mitchell Feigenbaum. A logistic function is a common sigmoid
curve, given its name in 1844 Pierre Verhulst who
studied it in relation to population growth, after he had read Malthus' An
Essay on the Principle of Population. As discussed in a companion paper, the logistic equation does not
model population growth in nature, except perhaps in closed systems such as a
Petri dish. The logistic map
A(t+1) = r * A(t) * (1-A(t)), where A(t)
is a number between zero and one that represents the population at
year t, r is a positive number, that represents a combined rate for
reproduction and death. It is an archetypal example of how complex, chaotic
behavior can arise from very simple non-linear dynamical equations. The map was
popularized in a seminal 1976 paper by the biologist Robert May.
[12] James A. Yorke coined of the term "chaos" as used today. “Chaos” originally meant disorder but in chaos theory it means an apparently erratic pattern that is sensitive to initial conditions, topologically mixing (the system will evolve over time so that any given region or open set of its phase space will eventually overlap with any other given region), and contains dense periodic orbits (every point in the space is approached arbitrarily closely by periodic orbits). Some dynamical systems are chaotic only in a subset of phase space. Chaotic behavior takes place on an attractor. Henri Poincaré. Chaos was subsequently studied by mathematicians (J. Hadamard, G. D. Birkhoff, A. N. Kolmogorov, M. L. Cartwright, J. E. Littlewood, S. Smale) but chaos theory became formalized only in the last half of the 20th century, with the widespread use of electronic computers. In 1960, Benoît Mandelbrot found recurring patterns at every scale in data on cotton prices and in 1967, and he published "How long is the coast of Britain?” showing that a coastline's length varies with the scale of the measuring instrument, resembling itself at all scales. In 1961, Edward Lorenz [48], using a simple digital computer to run a weather simulation, found that the predictions were widely different resulting from the very small initial value and developed a chaotic attractor as a model. No actual empirical data was tested. Observations of chaotic behavior in nature have been reported for changes in weather, the dynamics of satellites in the solar system, the time evolution of the magnetic field of celestial bodies, population growth in ecology, the dynamics of the action potentials in neurons, and molecular vibrations, but they have not been proven, because there are no methods to demonstrate chaos in empirical data.
[13] “It is impossible for the same thing at the
same time to belong and
not belong to the same thing in the same respect; and whatever other
distinctions we might add to meet dialectical objections. This then is the most
certain of all principle”. (Aristotle)
[14] Inertia is defined as a property of
mass that describes its resistance to a change of its uniform state of motion.
[15]
The anthropic principle states that our location in time and space in
the universe is necessarily
privileged to the extent of being compatible with our existence as observers. The age and the fundamental physical
constants of the universe are necessary to accommodate conscious life.
[16] “Contingent” means dependent on events or
conditions, but it also means dependent on something future, not yet known, and
also used as happening by chance or without known cause. These meanings are
confused, and “conditional” is often taken as evidence for accidental. Gould
[66] has developed a conciliation of determinism and contingency that differs
from the concept of creativity in that it explains contingency as the result of
large, third order processes, that may be accidental (e.g. a collision with a
giant meteorite).
[17] I seem to have coined the term co-creation, which is now also used in somewhat different meaning in business.
[18] I have explored this idea though the concept
of an infinite attractor of evolution [36, 42]. I am not indifferent either the
emotional meaning of spiritual ideas. Once I was inspired to write a play
attempting to capture the image of Mary of Nazareth as a young woman who reached
to co-create the divine. It was sweet experience to imagine Mary.
[19] The Edwin Smith papyrus, attributed
to the Egyptian physician Imhotep (3000 B.C.E.-2950 B.C.E.).
This text was used for over 1500 years to teach medicine. Imhotep also
designed the first Egyptian pyramid, the oldest and most famous artistic
archetype. He was also a statesman, a poet, and a philosopher who advised us
"Eat, drink and be merry for tomorrow we shall die."
[20] Nicolaus
Copernicus (1473 –1543) practiced medicine for much of his life. For
Copernicus, astronomy was an avocation.
[21] Descartes formulated the law
of conservation of motion (a precursor of the law of conservation of
energy) that excluded random accidents or supernatural interventions in natural
processes. To this general
conservation law he adds two particular laws, first that everything maintains
its own state until interfered with by an external cause (a principle directly
opposed to the Aristotelian view that things in motion tend to come to rest)
and second, that bodies tend to move in rectilinear paths, so bodies in
circular motion tend to move in the direction of the tangent. These laws together constitute the first
published statement of what Newton, who knew Descartes work, later called the
law of inertia (Brackenridge, J. B. The Key to Newton's Dynamics: The Kepler Problem and the Principia. Berkeley:
University of California Press, 1996). Descartes was also a forerunner of
wave theories in physics (Maxwell, Schrödinger).
[22] While Descartes was still living, Leroy stated
that Descartes had disguised his real opinions, transferred to the human soul
the Cartesian construction of animals, and explained the soul as a mode of the
body and ideas as mechanical movements. La Mettrie
proposed the metaphor of the human being as machine, prefiguring twentieth
century cybernetics. Cabanis metaphorically explained
that the brain secreted thoughts just as the stomach digested food.
[23] Focusing on the treatment of illness, medical
practice naturally led to scientific materialism. Hippocrates changed the
course of Greek medicine with his certainty that disease was not caused by gods
or spirits but it was the result of natural action. He is thus considered as
one of founders of naturalism or materialism.
[24] Demanding that a model must also be physically
meaningful may guide research further. For instance, Feynman’s idea of a
particle following all possible paths might be enhanced by considering that
such portrait may represent the flow of a wave.
[25] The history of positivism does not recommend it as a scientific strategy.
Comte regarded as a paradigmatic example of positivism the impossibility of the
chemical analysis of stars, which has become a centerpiece of contemporary
research. In the name of empiricism,
Mach denied the existence of atoms and did not believe in relativity. Einstein had to fight to convince his
generation of the existence of electrons, and eventually Mach’s empiricism was
dismissed from the minds of the majority of physicists, even after the Copenhagen
interpretation of quantum mechanics briefly resurrected it. Also in the name of
empiricism, Mach asserted that only sensations exist, reproducing the
philosophical idealism of Bishop George Berkeley, dismissed by most thinkers as
leading to the absurd notion that the only thing that exists is me
(solipsism).