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Rethinking Knowledge. Modelling the World as Unfolding through
Info-Computation for an Embodied Situated Cognitive Agent
Gordana Dodig-Crnkovic
Mlardalen University, Sweden
Abstract
Ever since the days of Plato and Aristotle, the concept of knowledge has been studied
within epistemology, the branch of philosophy concerned primarily with propositional knowledge and
establishing justification of belief, i.e. the truth of statements. Recently, with the rise of information and
communication technology, interest in knowledge management has been born from the necessity toidentify, represent and organise meaningful information. The focus shifted from true knowledge to useful
knowledge, from particular statements to knowledge systems. Knowledge is also being studied within the
educational sciences with the emphasis on learning aspects. The underlying assumption in all these
approaches is that knowledge is a distinctively human capacity.
The present paper describes a new approach to knowledge: knowledge as a natural phenomenon,
within an info-computational framework. Knowledge emerges from informational structures of cognitive
agents through processes of natural computation. A cognitive agent can be any living organism or an
artificial cognitive system. Adopting Maturana and Varelas approach, cognition is understood as being
synonymous with life, as a process of autopoiesis (self-production). Knowledge evolved from the
simplest forms of information, self-structuring in unicellular organisms to the most complex ones as
found in humans.
The aim is not to replace the existing approaches to knowledge but to complement them by new
insights into the phenomenon of knowledge. It may help to resolve old epistemological controversies
about the extent of knowledge (how much is possible to know), the sources of knowledge (empirical
experience vs. intellect), as well as about the nature of knowledge (traditionally it was the question of
how the concept of knowledge should be defined, which becomes transformed into the question: what in
the physical world corresponds to knowledge?). The info-computational approach to knowledge
generation can equally contribute to knowledge management and understanding of learning. Finally it can
contribute to rethinking cognition in humans and other living beings.
Keywords Knowledge generation, information, computation, cognition, info-computationalism,
computing nature, morphological computing, evolution with self-organisation and autopoiesis.
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Introduction
The process by which knowledge is acquired (or generated, produced) is called cognition1
[latin co + gnoscere, to know] and it includes perception, awareness, intuition, reasoning and
judgment. Currently we lack a common understanding of the process of cognition. In this paper
we start by adopting the view of the cognitive scientists Maturana and Varela, that cognition is
synonymous with life (Maturana & Varela, 1980). Even the simplest living organisms possess
some degree of cognition such as metabolism or locomotion. This means that not all cognition
is conscious but all of it is meaningful and purposeful for the cognitive agent. We are interested
in learning from living organisms among others in order to construct artificial cognitive agents
based on similar principles. These cognitive agents can be programs or robots capable of
assisting us in different tasks from intelligently cleaning e-mails or systematising data to
holding a conversation or executing space missions.
Knowledge is a result of cognition and as a natural phenomenon can be seen as emerging
from the biological structure of a cognitive agent. Knowledge provides evolutionary advantage
and ensures the agents ability to cope with the real world, thus improving its cognitive
capacities. In such a way a loop of interdependence between cognitive apparatus of an agent and
its knowledge is established.
This generalisation of cognition to include all living organisms (also plants and unicellular
organisms) and even cognitive computational artefacts is far from generally accepted. The
majority view is still that only humans possess cognition, even though some people would allow
that other primates do cognise, but not more than that. Our adoption of the general definition of
Maturana and Varela is motivated by the wish to provide a theory that would include all living
organisms and artificial cognitive agents within the same framework.
In order to address knowledge as a natural phenomenon, the info-computational approach
(Dodig-Crnkovic, 2006) is used for the study of mechanisms of knowledge generation, both in
an individual cognitive agent and in networks of agents (social cognition), both in real time and
in an evolutionary perspective, on a variety of levels of organisation.
The info-computational framework builds on two basic concepts: information (structure)
and computation (information dynamics). Cognitive processes unfold in a layered structure of
nested information network hierarchies with corresponding computational dynamics from
molecular, to cellular, organismic and social levels.
1Interestingly, Kants notion ofErkenntni is translated both asknowledgeand ascognition.
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The description of the conceptual framework of info-computationalism can be found in
(Dodig-Crnkovic & Mller, 2011) (Dodig-Crnkovic, 2009) (Dodig-Crnkovic, 2006). The
relationship between natural computing (such as biocomputing, DNA-computing, chemical
computing, quantum computing, social computing, etc) and the traditional Turing machine
model of computation is elaborated in (Dodig-Crnkovic, 2012a)(Dodig-Crnkovic, 2011a)
(Dodig-Crnkovic, 2011b) (Dodig-Crnkovic, 2010a). The constructing/generation/production ofknowledge within an info-computational framework is discussed in (Dodig-Crnkovic, 2007)
(Dodig-Crnkovic, 2010b) (Dodig-Crnkovic, 2010c) (Dodig-Crnkovic, 2008).
Cognition as a process of life is characterised by the interaction of a cognising agent with
its environment, which presupposes that living systems are necessarily open systems they
exchange mater-energy and information with the environment. The problem of the relationship
between closed and open systems is addressed in (Burgin & Dodig-Crnkovic, 2013) which
shows the need for replacement of the notion of truth by the notion of correctness within the
reasoning system and relates to the controversies about the relationship between knowledge and
truth as it appears in epistemology.
Finally the idea of computing nature and the relationships between two basic concepts of
information and computation are explored in (Dodig-Crnkovic & Giovagnoli, 2013) (Dodig-
Crnkovic & Burgin, 2011) and morphological computing as the underlying mechanism of all
information self-structuring (self-organisation) is addressed in (Dodig-Crnkovic, 2012b)
(Dodig-Crnkovic, 2012c).
The Computing Nature
The universe has been conceptualised in various ways in different cultures and during
different epochs. At one time, it was a living organism (Tree of Life, World Turtle, Mother
Earth), at yet another time, mechanical machinery - the Cartesian-Newtonian clockwork. Today
the universe is understood as a gigantic computer - a network of networks of computational
processes on many different levels of resolution from quantum mechanical to the molecular
(chemical), biological, sociological and eco-systemic levels.
The computer pioneer Zuse was the first to suggest (in 1967) that the physical behaviour of
the entire universe is being computed on a basic level, modelled by cellular automata, by the
universe itself that he referred to as Rechnender Raum or Computing Space/Cosmos.
Consequently, Zuse was the first pancomputationalist (naturalist computationalist), followed by
many others such as Fredkin, Wolfram, Chaitin and Lloyd to name but a few. According to
the idea of computing nature (naturalist computationalism or pancomputationalism) one can
view the time development (dynamics) of physical states in nature as information processing
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(natural computation). Such processes include self-assembly, developmental processes, gene
regulation networks, gene assembly in unicellular organisms, protein-protein interaction
networks, biological transport networks, and the like. (Dodig-Crnkovic & Giovagnoli, 2013)
What is the hardware that the computing universe relies on? We, as cognitive agents
interacting with the universe through information exchange, experience cognitively the universe
as information. The informational structural realism (Floridi, 2003) (Floridi, 2009) (Floridi,
2008) (Sayre, 1976) (Stonier, 1997) (Zins et al., 2007) is a framework that takes information as
the fabric of the universe (for an agent). The physicists Zeilinger (Zeilinger, 2005) and Vedral
(Vedral, 2010) suggest that information and reality are one.
For the informational universe, the dynamical changes of its informational structures make
it a huge computational network where computation is understood as information dynamics
(information processing).2
Info-computationalism is a synthesis of informational structural realism and natural
computationalism (pancomputationalism) - the view that the universe computes its own next
state from the previous one3. It builds on two basic complementary concepts: information
(structure) and computation (the dynamics of informational structure) as described in (Dodig-
Crnkovic, 2011a) (Chaitin, 2007). This is the basis of info-computational epistemology (Dodig-
Crnkovic, 2009).
In the computing nature, the generation of knowledge should be studied as a natural
process. That is the main idea of naturalised epistemology (Harms, 2006), in which the subject
matter is not our concept of knowledge, but the knowledge itself as it appears in the world 4
through specific informational structures of an agent. The origin of knowledge in the first living
agents is not well researched, since the idea still prevails that knowledge is possessed only by
humans.
However, there are different types of knowledge and we have good reasons to ascribe
knowledge how (procedural knowledge) and even simpler kinds of knowledge that
2Computations corresponding to dynamic processes in the universe are necessarily of both discrete and continuous
type, on both the symbolic and sub-symbolic level. Information and computation as two fundamental and inseparable
elements are used for naturalising cognition and knowledge in (Dodig-Crnkovic, 2009).3This amounts to computation being equivalent to causality. Note the difference between causality and determinism.
Computation is not always deterministicbut it is necessarily causal. See Collier J., Information, Causation And
Computation Chapter 4 in (Dodig-Crnkovic & Burgin, 2011)4Maturana was the first to suggest that knowledge is a biological phenomenon. He and Varela argued that
life should be understood as a process of cognition which enables an organism to adapt and survive in the
changing environment.
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(knowledge by acquaintance) to other living beings. Plants can be said to possess memory (in
their bodily structures that change as a result of past events) and the ability to learn (plasticity,
ability to adapt through morphodynamics) and can be argued to possess rudimentary forms of
knowledge. On the topic of plant cognition see Garzn in (Pombo, O., Torres J.M., Symons J.,
2012) p. 121. In hisAnticipatory systems(Rosen 1985) claims:
I cast about for possible biological instances of control of behavior through the
utilization of predictive models. To my astonishment I found them everywhere [] the
tree possesses a model, which anticipates low temperature on the basis of shortening
days.
Even Popper (Popper, 1999) p. 61 ascribes the ability to know to all living:
Obviously, in the biological and evolutionary sense in which I speak of knowledge, not
only animals and men have expectations and therefore (unconscious) knowledge, but
also plants; and, indeed, all organisms.
Informational Structure of Reality
In sum, in the proposed framework, information is the structure, the fabric of reality for a
cognitive agent. The world exists independently from us (realist position of structural realism)
as potential information, corresponding to Kants das Ding an sich. This potential information
becomes actual information (a difference that makes a difference according to (Bateson,
1972)) for a cognising agent in a process of interaction through which specific aspects of the
world become uncovered.5
Even though Batesons definition of information is the widely cited one6, there is a more
general definition that includes the fact that information is relationaland subsumes Batesons
definition:
Information expresses the fact that a system is in a certain configuration that is
correlated to the configuration of another system. Any physical system may contain
information about another physical system. (Hewitt, 2007) (italics added)
This has profound consequences for epistemology and relates to the ideas of participatory
universe (Wheeler, 1990), endophysics (Rssler, 1998) and observer-dependent knowledge
5Compare this with Kant: To cognize, percipere, is to represent something in comparison with others and to have
insight into its identity or diversity from them." - the Vienna Logic at 24:846.6In the same vein, Schroeder in (Dodig-Crnkovic & Giovagnoli, 2013) distinguishes two aspects of information
selective and structural, while (Dodig-Crnkovic, 2006) defines processes of differentiation and integration of
information as basic for all our information processing.
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production as understood in second-order cybernetics. Combining Bateson and Hewitt insights,
on the basic level, information is a difference in one physical system that makes a difference in
another physical system.
Of special interest with respect to knowledge generation are agents, i.e.systems able to act
on their own behalf.7
The world as it appears to an agent depends on the type of interaction through which the
agent acquires information8. Potential information in the world is obviously much richer than
what we observe, containing invisible worlds of molecules, atoms and sub-atomic phenomena,
distant cosmological objects and the like. Our knowledge about this potential information which
is revealed with the aid of scientific instruments continuously increases with the development of
new devices and the new ways of interaction with the world, with new theoretical and material
constructs (Dodig-Crnkovic & Mueller, 2009).
As a consequence of the adoption of Hewitts definition of information as a relational
concept, the novelty in the info-computational approach compared to other types of
structuralism is that the reality consisting of structural informational objects for an agent is
agent-dependent (observer-dependent). These subjectively experienced individual agent
realities are adapted to the shared reality of community in a form of inter-subjective agreed
negotiated common world-view.
Cognition as Info-Computation
A cognitive system is a system whose organization defines a domain of interactions in
which it can act with relevance to the maintenance of itself, and the process of cognition
is the actual (inductive) acting or behaving in this domain.Living systems are cognitive
systems, and living as a process is a process of cognition.This statement is valid for all
organisms, with and without a nervous system. (Maturana, 1970) p.13
The central role of cognition for every cognitive agent, from bacteria to humans is its
efficiency in dealing with complexity of the world (Gell-Mann, 1994) helping an agent to
survive and thrive. With the development of electronic computing we are improving the ability
to adequately model living systems and their cognitive functions including intelligent
behaviour. From the computationalist point of view intelligence may be seen as capacity based
on several levels of data processing in a cognising agent (Minsky, 1986). Data, information,
7Agency has been explored in biological systems by Stuart Kauffman, see (Kauffman, 2000)(Kauffman,
1995)(Kauffman, 1993)8For example, results of observations of the same physical object (celestial body) in different wavelengths (radio,
microwave, infrared, visible, ultraviolet and X-ray) give profoundly different pictures.
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perceptual images and knowledge are organised in a multiscale model, up to the emergent level
of consciousness (Minsky, 2011). Multiresolutional models have proven to be a good way of
studying complexity in biological systems, and they are also being implemented in artificial
intelligence (Goertzel, 1993).
The advantage of computational approaches to modelling compared to pure conceptual
models typical of traditional epistemology is their testability. Daniel Dennett declared in a talk
at the International Computers and Philosophy Conference, Laval, France in 2006: AI makes
philosophy honest. Paraphrasing Dennett we can say that info-computational models make
theories of knowledge and cognition more transparent and suitable for critical investigation and
experimentation. Cognitive robotics research, for example, presents us with a sort of laboratory
where our understanding of cognition can be tested in a rigorous manner.
From cognitive robotics it is becoming evident that cognition and intelligence are
inseparable from agency. All cognitive systems are dynamical systems argues Giunti in (van
Gelder, T. and Port, 1995) p. 549. Anticipation, planning and control are essential features of
intelligent agency. A similarity has been found between the generation of behaviour in living
organisms and the formation of control sequences in artificial systems. (Pfeifer & Bongard,
2006)(Pfeifer, Lungarella, & Iida, 2007)
An agent perceives the world through information produced from sensory data. From the
point of view of data processing, perception can be seen as an interface between the data (the
world) and an agents perception of the world. (Hoffman, 2009) criticises the traditional view of
perception as a perfectly mirroring, true picture of the world:
Instead, our perceptions constitute a species-specific user interface that guides
behavior in a niche. Just as the icons of a PC's interface hide the complexity of the
computer, so our perceptions usefully hide the complexity of the world, and guide
adaptive behavior. This interface theory of perception offers a framework, motivated by
evolution, to guide research in object categorization.
Thus, perception cannot be cut off on one side of the interface, inside an agent and its
brain. Patterns of information are both in the world and in the functions and structures of the
agent.Information is a difference in the world that makes a difference in an agent.
With perception as an interface, sensorimotor activities play a central role in realising the
function of connecting the inside with the outside worlds of an agent. Perception has co-evolved
with sensorimotor skills of living organisms. No, in an enactive approach to perception,
emphasises the role of evolution of sensorimotor abilities in living systems that can be
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connected with the changing informational interface between an agent and the world, and thus
increasing information exchange and the complexity of an organisms information processing
structures. (No, 2004)
The step from perception to higher cognitive processes is not trivial, and detailed
multiresolutional computational accounts are yet to be developed. They can be expected along
the lines similar to Briers Cybersemiotics (Brier, 2013) with the difference that within the info-
computational framework the connections between different types of scientific knowledge (in
the sense of Wissenschaft) are construed computationally.
Symbolic vs. Sub-symbolic Computation. Virtual Machines
Traditionally, analyses of knowledge, cognition and intelligence are done on the level of
(human) language, thus assumed to be symbolic. Not unexpectedly, the first attempts at AI were
modelling cognition and intelligence as symbol manipulation. However "Good Old-FashionedArtificial Intelligence" (GOFAI) turned out to be insufficient as a model of human intelligence
(Clark, 1989). We have experience of knowledge accessible without verbal intervention and
symbol manipulation, such as procedural knowledge (how to do something) that differs from
propositional knowledge (knowledge of facts, that is of prime interest for epistemology).
Moreover, symbols must be grounded in something more basic which from biology and
neuroscience turns out to be signal processing. Smolensky proposed the mechanism of an
intuitive processor (which is not accessible to the symbolic level of information processing)
with a conscious rule interpreter:
What kinds of programs are responsible for behavior that is not conscious rule
application? I will refer to the virtual machine that runs these programs as the *intuitive
processor*. It is presumably responsible for all of animal behavior and a huge
proportion of human behavior: Perception, practiced motor behavior, fluent linguistic
behavior, intuition in problem solving and game-playing--in short, practically all skilled
performance. (Smolensky, 1988)
It follows from the above that ascribing degrees of knowledge to simple organisms implies
accepting non-symbolic knowledge as well. Symbols can be expected for organisms that at least
have nervous systems.
Smolenskys ideas about virtual machines running intuitive information processes were
developed by Sloman, who characterises thehuman mind as a virtual machine running on the
brainhardware,(Sloman, 2002). He also addresses the symbol grounding problem, that is the
question of how symbols acquire meaning through sub-symbolic signal processing.
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The Modelling Nature of Cognition and Observer Dependence
We humans have an impression that we interact directly with the real world as it is.
However, that is far from an accurate characterisation of what is going on, as already mentioned
in connection to perception as an interface.
Of all information processing going on in our bodies, perception is only a tiny fraction.
Our perception of the world depends on the relative slowness of conscious perception. Time
longer than one second is needed to synthesize conscious experience . At time scales shorter
than one second, the fragmentary nature of perception is revealed. The brain creates a picture of
reality that we experience as (and mistake for) 'the actual thing' (Ballard, 2002) (italics added)
Kant, in the Critique of Pure Reason, had already argued that phenomena, or things as
they appear and which constitute the world of common experience, are an illusion. Kaneko and
Tsuda explain why:
(T)he brain does not directly map the external world. From this proposition follows
the notion of the interpreting brain, i.e. the notion that the brain must interpret
symbols generated by itselfeven at the lowest level of information processing. It seems
that many problems related to information processing and meaning in the brain are
rooted in theproblems of the mechanisms of symbol generation and meaning. (Kaneko
& Tsuda, 2001) (italics added)
Consciousness provides only a rough sense of what is going on in and around us; in the
first place it relates to what we take to be essential. The world as it appears for our
consciousness is a sketchy simulation which is a computational construction. The belief that we
can ever experience the world 'directly as it is' is an illusion (Nrretranders, 1999).
What would that mean anyway to experience the world 'directly as it is', without ourselves
being part of the process? Who would experience that world without us? It is important to
understand that, as (Kaneko & Tsuda, 2001) emphasise, the brain maps the information about
the (part of the) world into itself, but the mapped information is always formed by the activity of
the brain itself. This seems to be the view of (Maturana, 2007) as well.
The positivist belief in observations independent of the observer proved problematic in
many fields of physics such as quantum mechanics (wave function collapse after interaction),
relativity (velocity-dependent length contraction and time dilatation) and chaos (a minor
perturbation caused by measurement sufficient to switch the system to a different attractor).
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In general, the observer and the systems observed are related and by understanding their
relationship we can gain insights into the limitations and power of models and simulations as
knowledge generators, as argued in(Foerster, 2003).
If what we perceive of the world is a simulation that our brain plays for us in order to
manage complexity and enable us to act efficiently in the world, then our knowledge of the
world must also be mediated by this computational modelling nature of cognition. Not even the
most reliable knowledge about the physical world as it appears in sciences is independent of the
modelling frameworks which indirectly impact what can be expressed and thus known. It does
not mean that scientific knowledge is arbitrary; it only means that it is reproducible under given
conditions within a given domain.
Models are always simplifications made for a purpose and they ignore aspects of the
system which are irrelevant to that purpose. The properties of a system itself must be clearly
distinguished from the properties of its models. All our knowledge is mediated by models. We
often become so familiar with a model and its functions that we frequently act as if the model
was the actual reality itself (Heylighen & Joslyn, 2001), which of course is unjustified.
Awareness of the modelling character of knowledge and the active role of the cognising
agent in the process of generation of knowledge is specifically addressed by second order
cybernetics. Cybernetic epistemology is constructive in recognising that knowledge cannot be
passively transferred from the environment, but must be actively constructed by the cognising
agent based on the elements found in the environment in combination with information stored in
the agent (its morphology). The interaction with the environment eliminates inadequate models.
Model construction thus proceeds through variation, information self-organisation, and
selection. This agrees with Glasersfelds two basic principles (Glasersfeld, 1995):
Knowledge is not passively received either through the senses or by way of
communication, but is actively built up by the cognizing subject.
The function of cognition is adaptive and serves the subject's organization of the
experiential world, not the discovery of an objective ontological reality .
This understanding coincides with the info-computational view of knowledge generation
(Dodig-Crnkovic, 2007) (Dodig-Crnkovic & Mller, 2011). The subject in the above can be
any living organism or indeed an artificial cognitive agent too.
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Knowledge Generation by Morphological Computation
When talking about computational models of biological phenomena, it is important to keep
in mind that within the info-computational framework computation is defined in a general way
as any information processing. This differs from the traditional theoretical model of
computation, the Turing machine model, which is a special case corresponding to
algorithms/effective procedures (equivalent to recursive functions or formal languages). The
Turing machine is a logical device, a model for the execution of an algorithm. However, if we
want to model computing nature adequately, including biological structures and embodied
physical information processing, a new understanding of computation is needed such as highly
interactive and networked concurrent computing models beyond Turing machines, as argued in
(Dodig-Crnkovic & Giovagnoli, 2013) and (Dodig-Crnkovic, 2011b) with reference to (Hewitt,
2012) and (Abramsky, 2008). In order to develop a general theory of networked physical
information processing, we must also generalise the ideas of what computation is and what it
might be developed into. For new computing paradigms, see for example (Rozenberg, Bck, &
Kok, 2012) (Burgin, 2005) (MacLennan, 2004) (Wegner, 1998) (Hewitt, 2012) (Abramsky,
2008).
Computation as information processing should not be identified with classical cognitive
science based on notions of inputoutput and representations in the sense of the Turing machine
model. It is important to recognise that connectionist models (e.g. neural networks) are
computationalas wellas they are also based on information processing(Scheutz, 2002) (Dodig-
Crnkovic, 2009). The basis for the capacity to acquire knowledge is in the specific morphology
of organisms that enables perception, memory and adequate information processing that can
lead to production of new knowledge out of the old one.
As argued in (Dodig-Crnkovic, 2012b), morphology is the central idea in the
understanding of the connection between computation and information. It should be noted that
material also represents morphology, but on a more basic level of organisation the
arrangements of molecular and atomic structures. What appears as a form on a more
fundamental level of organisation (e.g. an arrangement of atoms), represents 'matter' as a
higher-order phenomenon (e.g. a molecule).
In morphological computing, the modelling of an agents behaviour (such as locomotion
and sensory-motor coordination) proceeds by abstracting the principles via information self-
structuring and sensory-motor coordination, (Matsushita et al. 2005), (Lungarella et al. 2005)
(Lungarella and Sporns 2005) (Pfeifer, Lungarella and Iida 2007). Brain control is decentralised
based on sensory-motor coordination through interaction with the environment. Through
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embodied interaction with the environment, in particular through sensory-motor coordination,
an information structure is induced in the sensory data, thus facilitating perception, learning and
categorisation. The same principles of morphological computing (physical computing) and data
self-organisation apply to biology and robotics.
From an evolutionary perspective it is crucial that the environment provides the physical
source of the biological body of an organism as well as a source of energy and matter to enable
its metabolism. The nervous system and brain of an organism evolve gradually through the
interaction of a living agent with its environment. This process of mutual shaping is a result of
information self-structuring. Here, both the physical environment and the physical body of an
agent can at all times be described by their informational structure 9. Physical laws govern
fundamental computational processes which express changes of informational structures.
(Dodig Crnkovic 2008)
The environment provides a variety of inputs in the form of both information and matter-
energy, where the difference between information and matter-energy is not in the kind, but in
the type of use the organism makes of it.As there is no information without representation10, all
information is carried by some physical carrier(light, sound, radio-waves, chemical molecules
able to trigger smell receptors, etc.). The same physical object can be used by an organism as a
source of information and as a source of nourishment/matter/energy. A single type of signal,
such as light, may be used by an organism both as information necessary for orientation in the
environment, and for the photosynthetic production of energy. Thus, the question of what will
be used 'only' as information and what will be used as a source of food/ energy depends on the
nature of the organism. In general, the simpler the organism, the simpler the information
structures of its body, the simpler the information carriers it relies on, and the simpler its
interactions with the environment.
The environment is a resource, but at the same time it also imposes constraints which limit
an agents possibilities. In an agent that can be described as a complex informational structure,
constraints imposed by the environment drive the time development (computation) of its
structures, and thus even its shape and behaviour, to specific trajectories.
9Here is the definition by John Daintith, A Dictionary of Computing (2004)
http://www.encyclopedia.com/doc/1O11-datastructure.html
Data structure (information structure) - an aspect of data type expressing the nature of values that are composite, i.e.
not atoms. The non-atomic values have constituent parts (which need not themselves be atoms), and the data structure
expresses how constituents may be combined to form a compound value or selected from a compound value.
10Landauer, R. 1991, Information is Physical', Physics Today 44, 23 - 29.
Landauer, R. 1996, The Physical Nature of Information Physics Letter (A 217), 188
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This relationship between an agent and its environment is called structural coupling by
(Maturana & Varela 1980) and is described by (Quick and Dautenhahn 1999) as non-
destructive perturbations between a system and its environment, each having an effect on the
dynamical trajectory of the other, and this in turn affecting the generation of and responses to
subsequent perturbations.
Harms proved a theorem showing that natural selection will always lead a population to
accumulate information, and so to 'learn' about its environment (Harms, 2006). Okasha
(Okasha, 2005) points out that
any evolving population 'learns' about its environment, in Harms' sense, even if the
population is composed of organisms that lack minds entirely, hence lack the ability to
have representations of the external world at all.
Ascribing some rudimentary cognition and thus capacity for knowledge to all living
organisms, no matter how primitive, should be seen not as a drawback of the theory but as its
strength because of the generality of a naturalistic approach. It shows how cognitive capacities
are a matter of degree and how they slowly and successively develop with evolution. From bio-
computing we learn that in living organisms the biological structure (hardware) is at the same
time a program (software) which controls the behaviour of that hardware. (Kampis, 1991)
However, this understanding of the basic evolutionary mechanisms of accumulating
information, at the same time increasing the information-processing capacities of organisms
(such as memory, anticipation, computational efficiency), is only the first step towards a fully-
fledged evolutionary epistemology, but the most difficult and significant one, as it requires a
radical change in our understanding of fundamental concepts of knowledge, cognition,
intelligence, computation and information, among others.
From the point of view of info-computationalism, a mechanism behind the aforementioned
Slomans virtual machine hierarchy (Sloman, 2002) is the computational self-organisation of
information, i.e. morphological computing, see (Dodig-Crnkovic, 2012b) and references
therein. In his new research programme, Sloman goes a step further studying meta-
morphogenesis, which is the morphogenesis of morphogenesis, (Sloman, 2013) a way of
thinking in the spirit of second order cybernetics.
System and Environment. Self-organisation and Autopoiesis
In order to understand knowledge as a natural phenomenon, the process of re-construction
of the origins, development and present forms and existence of life, the processes of evolution
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and development based on self-organisation are central. The work of Maturana and Varela on
the constructivist understanding of life is fundamental. They define the process of autopoiesis of
a living system as follows:
An autopoietic machine is a machine organized (defined as a unity) as a network of
processes of production (transformation and destruction) of components which:
(i) through their interactions and transformations continuously regenerate and realize the
network of processes (relations) that produced them; and
(ii) constitute it (the machine) as a concrete unity in space in which they (the
components) exist by specifying the topological domain of its realization as such a
network. (Maturana & Varela, 1980) p. 78
What does it mean that an autopoetic system is organisationally closed? It means that it
conserves its organisation. That is true of a momentaneous picture of the world in which an
organism lives (functions, operates). Obviously evolution shows that organisms change their
organisation through interactions with the environment. In a sense organisms preserve their
organisation, but that organisation is dynamical and evolving. Living beings constantly
metabolise, communicate and exchange information with the world. We can say that there are
different processes going on in an organism on a short time scale they retain their (dynamical)
organisation, while exchanging information with the world. On the longer time scale they
evolve and thus slowly change their organisation.
Immanuel Kant, in his Critique of Judgment, was the first to use the attribute "self-
organising" arguing that teleology (goal-directed behaviour) is possible only for entities that
exist through self-organisation. Such a system is capable of acting on its own behalf (agency)
and governing itself.
In such a natural product as this, every part is thought as owing its presence to the
agency of all the remaining parts, and also as existing for the sake of the others and of
the whole, that is as an instrument, or organ... The part must be an organ producing the
other partseach, consequently, reciprocally producing the others... Only under these
conditions and upon these terms can such a product be an organized and self-organized
being, and, as such, be called a physical end.
http://oll.libertyfund.org/index.php?option=com_staticxt&staticfile=show.php%3Ftitle=1217&layout=html
Immanuel Kant, The Critique of Judgement [1892]
Today we ascribe purposeful (autonomous, goal-directed) behaviour to robots but even
though they appear to act autonomously, they are essentially dependent on humans for
production, maintenance and energy supply.
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After Kant, cyberneticians (Ashby, von Foerster, Pask, and Wiener) returned to the ability
of self-organisation in different systems, both natural and artificial.
The idea of self-organisation was introduced in general systems theory in the 1960s, and
later during the 1970s and 1980s in complex systems. Prigogine (Prigogine & Stengers, 1984)
contributed by insights in the self-organisation in thermodynamic systems far from equilibrium,
which showed an ability of non-living matter to self-organise on the condition that energy is
provided from the environment that is used for self-organisation. This ability of inanimate
matter (chemicals) to self organise has been studied in detail by Kauffman (Kauffman, 1993,
1995). It has inspired research into the origins of life connecting the self-organisation of
chemical molecules with the self-organisation and autopoiesis of living beings.
The importance of Maturana and Varelas idea of autopoietic systems can hardly be
overestimated, and especially the idea of life as cognition is of vital importance. However, it
might need some reinterpretations when incorporated into the framework of info-
computationalism. Similarly, when Luhmann applied the ideas of Maturana and Varela to social
autopoetic systems, he developed an adapted triple autopoietic model of the biological, psychic
and socio-communicative systems. (Brier, 2013)
In short, the information processing model of organisms incorporates basic ideas of
autopoiesis and life, from the sub-cellular to the multi-cellular, organismic and societal levels.
Being cognition, life processes are different sorts of morphological computing which on
evolutionary time scales affect the organisation (structures) of living beings even in a sense of
meta-morphogenesis (i.e. morphogenesis of morphogenesis), (Sloman, 2013).
Through autopoietic processes with structural coupling (interactions with the environment)
a biological system changes its structures and thereby the information processing patterns in a
self-reflective, recursive manner (Maturana & Varela, 1992) (Maturana & Varela, 1980). Self-
organisation with natural selection of organisms, responsible for nearly all information that
living systems have built up in their genotypes and phenotypes, is a simple but costly method to
develop knowledge capacities. Higher organisms (which are more expensive to evolve) have
developed a capability of learning and reasoning as a more efficient way to accumulate
knowledge. The step from genetic learning (typical of more primitive forms of life) to the
acquisition of cognitive skills on higher levels of organisation of the nervous system (such as
found in vertebrata) will be the next step to explore in the project of naturalised epistemology.
In the info-computational formulation, the life as cognition process (Maturana & Varela,
1980, 1992; Maturana, 1970, 2002) corresponds to information processing in the hierarchy of
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levels of organisation, from molecular networks, to cells and their organisations, to organisms
and their networks/societies (Dodig-Crnkovic, 2008). Thus the fundamental level proto-
information (structural information) corresponds to the physical structure, the fabric of reality
for an agent, while cognition is a process that both unfolds in real time as information self-
structuring through interactions (morphological computing), and develops on a long-time scale
(meta-morphogenesis) as a product of evolution in complex biological systems, as argued in(Dodig-Crnkovic & Hofkirchner, 2011).
Examples of Existing Applications
Concurrently with the development of methodological and philosophical and information-
and computation- theoretical arguments for the development of a new scientific paradigm
motivated by the need of better understanding of biological systems, such as the info-
computational approach, the number of new practical applications steadily increases. For a
review of the contemporary work on Biomathics11, see the forthcoming article (Simeonov,
2013).
Two volumes covering topics of information and computation (Dodig-Crnkovic & Burgin,
2011) and the idea of computing nature (Dodig-Crnkovic & Giovagnoli, 2013) cover a range of
topics in which the basic ideas presented in this article have been developed and applied.
The work of Wolff is another interesting practical application (Wolff, 2003, 2006). In the
book Unifying Computing and Cognition, Wolff presents his SP theory with its applications. In
the words of author:
The "SP theory of intelligence" aims to simplify and integrate concepts across artificial
intelligence, mainstream computing and human perception and cognition, with
information compression as a unifying theme. It is conceived as a brain-like system that
receives 'New' information and stores some or all of it in compressed form as 'Old'
information. It is realised in the form of a computer model -- a first version of the SP
machine. The concept of "multiple alignment" is a powerful central idea. Using
heuristic techniques, the system builds multiple alignments that are 'good' in terms of
information compression.
Even though SP theory may find many interesting applications and provides new conceptual
tools to unpack the complex issue of cognition, it is only the beginning of a research in this
direction that has many open questions to address. For example Kauffman argues that living
11A new phase of scientific development in which mathematicians turn to biological processesfor inspiration in
creating novel formalisms in mathematics appropriate to describe biological phenomena.
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organisms exhibit high resilience exactly because of redundant information they embody. Thus
in living systems information compression should not be expected to be maximal but the trade-
offs with redundancy is necessary (Kauffman, 1995).
Open Questions and Future Research
Promises of info-computational programmes rely on learning from nature using
definability, simulability and (where applicable) predictability of its physical processes and
structures as a means to improve our understanding of complex phenomena such as life
(cognition) based on (constantly improved) concepts of computation and information. (Dodig-
Crnkovic, 2011b)
Based on the info-computational framework, the following topics are of particular interest
for future research.
- Structures and functioning of the human brain, at present the subject of the hugeEuropean FET Flagship Human brain project http://www.humanbrainproject.eu. What can be
learned about cognition, intelligence, and our epistemological and ontological premises within
the framework of info-computational naturalism? Given that our brains and nervous systems are
info-computational networks, what can we say about the mind? How do we develop
artifactually intelligent autonomous systems based on insights from natural (organic)
computing? Embodiedness of all natural phenomena including the mind:
- Biology mechanisms and origins of life: What computational problems can ourunderstanding of natural self-organisation and management of complexity help to solve? The
origins of life and connectedness between the living and the non-living world.
- Physics information physics as a project of re-formulating physics in terms ofinformation and its dynamics (computation). We lack understanding of physics at very small
and very large dimensions, and do not understand the incompatibility between quantum
mechanics and general relativity. Matter and energy as we know constitute only 4% of what we
see in the universe the remaining 96% contains 21% dark matter and 75% dark energy. Caninformational reconceptualisation of physics help to explain this discrepancy? Do we need to
take into account observer dependence of information generation, including scientific
knowledge? Theories of emergent phenomena on different scales defined informationally:
- Complexity. In a complex system, what we see is dependent on where we are and whatsort of interaction is used to study the system. Generative Models how does the complexity
arise? Evolution is the most well-known generative mechanism, with complexity arising from
simplicity by the self-organisation of informational structures. Complex behaviour can emerge
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from simple generators! Self-star properties in organic systems: self-organisation, self-
configuration(auto-configuration),self-optimisation(automated optimisation),self-repair(self-
healing), self-protection (automated computer security), self-explaining, and self-awareness
(context-awareness) all are part of autopoiesis. Complex adaptive artificial systems are
studied inspired by biological systems.
- Modelling and simulation understood as info-computation. We are used to studyinglinear systems which possess decomposibility - Modelled by Analysis Top-down Global
(Reductionism) However, non-linear systems behave as a whole and are appropriately modelled
by synthesis (integration) - bottom-up, distributed, networked). Here, instead of analytical
methods, Holism and System approaches apply.
- Agent-based Models. An agent-based model (ABM) is a computational model forsimulating the actions and interactions of autonomous individuals in a network, with a view to
assessing their effects on the system as a whole. It combines elements of game theory, complex
systems, emergence, computational sociology, multi agent systems, and evolutionary
programming. Semiotics distinguishes between first person second person third person
accounts, and agent-based models correspond to first-person accounts (Simeonov, 2013)
- Computing nature. Along with the study of biological and other complex phenomenawithin the info-computationalist framework, a lot of work remains on the modelling of natural
phenomena based on understanding of the universe as a network of info-computational
processes. Continuous and discrete, analogue and digital computing are all parts of the
computing universe and should be studied, understood and modelled. Understanding of
evolution as an info-computational, morphodynamic process based on self-structuring of
information through morphological computation:
- Information (for an agent) From the difference that makes the difference for an agent -unification as synthesis (integration of information) and search as differentiation (Dodig-
Crnkovic, 2006). The meaning of the concept information is the resolution of categorical
opposition of one-and-many.(Schroeder, 2013a) (Schroeder, 2013b)
- Computation as (natural) information processing aComputing Nature project such asdefined in (Zenil, 2012) (Dodig-Crnkovic & Giovagnoli, 2013) (Dodig-Crnkovic, 2011b)
(Stepney, 2008; Stepney et al., 2005, 2006) and (MacLennan, 2004).
Conclusion
This article presents a new understanding of knowledge as a natural phenomenon, based on
an info-computational approach. The idea is to provide stable methodological and practical
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grounds for the existing approaches to knowledge and to complement them by new insights into
the phenomenon of knowledge. It may help to resolve old epistemological problems such as:
The extent of knowledge(how much is possible to know) by pointing to info-computational
and evolutionary origins of (agent-dependent) knowledge.
The sources of knowledge (empirical experience vs. intellect), which are informational
structures with computational dynamics, both in the agent itself (embodiment, embeddedness),
and in the world understood as potential information, which for an agent is actualised through
interactions.
The nature of knowledge,traditionally the question about how the concept of knowledge
should be defined, in the info-computational framework becomes transformed into the question:
what in the physical world is knowledge?
As we have seen from its applications, the info-computational approach to knowledge
generation can contribute both to epistemology and to knowledge management and the
understanding of learning.
Finally, the info-computational approach can contribute to rethinking cognition as a self-
organising bio-chemical life process in humans and other living beings. Thus we can start to
learn how to adequately model living systems which have traditionally been impossible to
effectively frame theoretically, simulate and study in their full complexity. (Dodig-Crnkovic &Mller, 2011)
To conclude, let me quote Feynman fromThe Character of Physical Law:
Our imagination is stretched to the utmost, not, as in fiction, to imagine things which
are not really there, but just to comprehend those things which are there.
(Feynman, 1965)
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