28 June 2020

Systems Thinking: On Ecology (Quotes)

"[…] for as all organic beings are striving, it may be said, to seize on each place in the economy of nature, if any one species does not become modified and improved in a corresponding degree with its competitors, it will soon be exterminated." (Charles Darwin, "On the Origin of Species", 1859)

"Let it be borne in mind how infinitely complex and close-fitting are the mutual relations of all organic beings to each other and to their physical conditions of life. " (Charles Darwin, "On the Origin of Species", 1859)

"[…] without the theory of evolution all the big general series of phenomena of organic nature remain completely incomprehensible and inexplicable riddles, while by means of this theory they can be explained simply and consistently. This holds especially true for two complexes of biological phenomena which we now in conclusion wish to single out in a few words. These form the subject of two special branches of physiology which so far have been largely neglected, namely, the ecology and chorology of organisms." (Ernst Haeckel, "Generelle Morphologie der Organismen", 1866)

"By ecology we mean the body of knowledge concerning the economy of nature - the investigation of the total relations of the animal both to its inorganic and to its organic environment; including, above all, its friendly and inimical relations with those animals and plants with which it comes directly or indirectly into contact - in a word, ecology is the study of all those complex interrelations referred to by Darwin as the conditions of the struggle for existence." (Ernst Haeckel, [lecture] 1869)
 
"[employment of] exact or mathematical methods […] unfortunately is impossible in most branches of science (particularly in biology), because the empirical foundations are much too imperfect and the present problems much too complicated. Mathematical treatment of these does more harm than good because it gives a deceptive semblance of certainty which is not actually attainable. Part of physiology also involves problems which are difficult or impossible to resolve exactly, and these include the chorology and ecology of plankton." (Ernst Haeckel, “Plantonic studies”, 1891) 

"At a time when ecology and genetics are each racing swiftly towards one new concept after another, yet with little contact of thought between the two subjects, there may be some advantage in surveying, if only synoptically and in preliminary fashion, the largely uncharted territory between them." (Charles S Elton, 1938)

"If there are favourable habitats and favorable forms of association for animals and plants, as ecology demonstrates, why not for men? If each particular natural environment has has its own balance; is there not perhaps an equivalent of this in culture?" (Lewis Mumford, "The Culture of Cities", 1938)

"That land is a community is the basic concept of ecology, but that land is to be loved and respected is an extension of ethics." (Aldo Leopold, "A Sand County Almanac", 1949)

"In calling society an ecological system we are not merely using an analogy; society is an example of the general concept of an 'ecosystem' that is, an ecological system of which biological systems - forests, fields, swamps - are other examples." (Kenneth E Boulding, "A Reconstruction of Economics", 1950)

"The general study of the equilibria and dynamics of populations seems to have no name; but as it has probably reached its highest development in the biological study known as 'ecology,' this name may well be given to it." (Kenneth E Boulding, "A Reconstruction of Economics", 1950)

"Can any of us fix anything? No. None of us can do that. We're specialized. Each one of us has his own line, his own work. I understand my work, you understand yours. The tendency in evolution is toward greater and greater specialization. Man's society is an ecology that forces adaptation to it. Continued complexity makes it impossible for us to know anything outside our own personal field — I can't follow the work of the man sitting at the next desk over from me. Too much knowledge has piled up in each field. And there are too many fields. (Philip K. Dick, "The Variable Man", 1952)

If we have been slow to develop the general concepts of ecology and conservation, we have been even more tardy in recognizing the facts of the ecology and conservation of man himself. We may hope that this will be the next major phase in the development of biology. Here and there awareness is growing that man, far from being the overlord of all creation, is himself part of nature, subject to the same cosmic forces that control all other life. Man's future welfare and probably even his survival depend upon his learning to live in harmony, rather than in combat, with these forces. (Rachel Carson, "Essay on the Biological Sciences" in Good Reading, 1958)

"The thing the ecologically illiterate don't realize about an ecosystem is that it's a system. A system! A system maintains a certain fluid stability that can be destroyed by a misstep in just one niche. A system has order, a flowing from point to point. If something dams the flow, order collapses. The untrained miss the collapse until too late. That's why the highest function of ecology is the understanding of consequences." (Frank Herbert, "Dune", 1965)

"Evolution cannot be understood except in the frame of ecosystems." (Ramón Margalef, "Perspectives in Ecological Theory", 1968)

"For some years now the activity of the artist in our society has been trending more toward the function of the ecologist: one who deals with environmental relationships. Ecology is defined as the totality or pattern of relations between organisms and their environment. Thus the act of creation for the new artist is not so much the invention of new objects as the revelation of previously unrecognized relation- ships between existing phenomena, both physical and metaphysical. So we find that ecology is art in the most fundamental and pragmatic sense, expanding our apprehension of reality." (Gene Youngblood, "Expanded Cinema", 1970) 

"Ecology is the scientific study of the interactions that determine the distribution and abundance of organisms." (Charles J Krebs, "Ecology", 1972)

"To do science is to search for repeated patterns, not simply to accumulate facts, and to do the science of geographical ecology is to search for patterns of plants and animal life that can be put on a map." (Robert H. MacArthur, "Geographical Ecology", 1972)

"It is the intertwined and interacting mechanisms of evolution and ecology, each of which is at the same time a product and a process, that are responsible for life as we see it, and as it has been." (James W. Valentine, "Evolutionary Paleoecology of the Marine Biosphere", 1973)

"This paper introduces a concept of organizational ecology. This refers to the organizational field created by a number of organizations, whose interrelations compose a system at the level of the field as a whole. The overall field becomes the object of inquiry, not the single organization as related to its organization-set. The emergence of organizational ecology from earlier organization theory is traced and illustrated from empirical studies. Its relevance to the task of institution-building, in a world in which the environment has become exceedingly complex and more interdependent, is argued." (Eric Trist , "A concept of organizational eecolog", Australian journal of management 2 (2), 1977)

"We argue that in order to deal with the various inertial pressures the adaptation perspective must be supplemented with a selection orientation. We consider first two broad issues that are preliminary to ecological modelling. The first concerns appropriate units of analysis. Typical analyses of the relation of organizations to environments take the point of view of a single organization facing an environment." (Michael T Hannan, "The Population Ecology of Organizations", 1977)

"The social dynamics of human history, even more than that of biological evolution, illustrate the fundamental principle of ecological evolution - that everything depends on everything else. The nine elements that we have described in societal evolution of the three families of phenotypes - the phyla of things, organizations and people, the genetic bases in knowledge operating through energy and materials to produce phenotypes, and the three bonding relations of threat, integration and exchange - all interact on each other." (Kenneth E Boulding, "Ecodynamics: A New Theory Of Societal Evolution", 1978)

"The world is a complex, interconnected, finite, ecological–social–psychological–economic system. We treat it as if it were not, as if it were divisible, separable, simple, and infinite. Our persistent, intractable global problems arise directly from this mismatch." (Donella Meadows,"Whole Earth Models and Systems", 1982)

"Ultimately, uncontrolled escalation destroys a system. However, change in the direction of learning, adaptation, and evolution arises from the control of control, rather than unchecked change per se. In general, for the survival and co-evolution of any ecology of systems, feedback processes must be embodied by a recursive hierarchy of control circuits." (Bradford P Keeney, "Aesthetics of Change", 1983)

"Scientific ecology works along a very great number of different lines - perhaps a typical feature of this discipline. In ecological research each element of these different approaches to work and the of the varied opinions formed about them plays its part. (Wolfgang Haber, Universitas: A Quarterly German Review of the Arts and Sciences Vol. 26, (2), 1984)

"The ecological principle of unity in diversity grades into a richly mediated social principle; hence my use of the term social ecology." (Murray Bookchin,"What Is Social Ecology?" , 1984)

"The existing literature usually stresses the capacity of organizations to learn about and adapt to uncertain, changing environments. We think this emphasis is misplaced. The most important issues about the applicability of evolutionary-ecological theories to organizations concern the timing of changes. Learning and adjusting structure enhance the chance of survival only if the speed of response is commensurate with the temporal patterns of relevant environments." (Michael T Hannan,"Organizational ecology", 1989)

"To halt the decline of an ecosystem, it is necessary to think like an ecosystem." (Douglas P Wheeler, EPA Journal, 1990)

"Ecological Economics studies the ecology of humans and the economy of nature, the web of interconnections uniting the economic subsystem to the global ecosystem of which it is a part." (Robert Costanza, "Ecological Economics: the science and management of sustainability", 1992)

"When the study of the household (ecology) and the management of the household (economics) can be merged, and when ethics can be extended to include environmental as well as human values, then we can be optimistic about the future of humankind. Accordingly, bringing together these three 'E's' is the ultimate holism and the great challenge for our future." (Eugene Odum," Ecology and our endangered life-support systems", 1993)

"Progressively higher levels of organization are attained as catalytic cycles on one level interlock and form hypercycles: these are systems on a higher level of organization. Thus molecules emerge from a combination of chemically active atoms; protocells emerge from sequences of complex molecules; eukaryotic cells emerge among the prokaryotes; metazoa make their appearance among the protozoa and converge in still higher-level ecological and social systems." (Ervin László,"Vision 2020: Reordering Chaos for Global Survival" , 1994)

"The new paradigm may be called a holistic world view, seeing the world as an integrated whole rather than a dissociated collection of parts. It may also be called an ecological view, if the term 'ecological' is used in a much broader and deeper sense than usual. Deep ecological awareness recognizes the fundamental interdependence of all phenomena and the fact that, as individuals and societies we are all embedded in (and ultimately dependent on) the cyclical process of nature." (Fritjof Capra & Gunter A. Pauli," Steering business toward sustainability", 1995)

"In the past several years, social work has increasingly focused on an ecological model. This model integrates both treatment and reform by conceptualizing and emphasizing the dysfunctional transactions between people and their physical and social environments. Human beings are viewed as developing and adapting through transactions with all elements of their environments. An ecological model gives attention to both internal and external factors. It does not view people as passive reactors to their environments but, rather, as being involved in dynamic and reciprocal interactions with them." (Charles Zastrow, "The practice of social work", 1995)

"Economics emphasizes competition, expansion, and domination; ecology emphasizes cooperation, conservation, and partnership. (Fritjof Capra, "The Web of Life", 1996)

"A major clash between economics and ecology derives from the fact that nature is cyclical, whereas our industrial systems are linear. Our businesses take resources, transform them into products plus waste, and sell the products to consumers, who discard more waste […]" (Fritjof Capra, "The Web of Life", 1996)

"These, then, are some of the basic principles of ecology - interdependence, recycling, partnership, flexibility, diversity, and, as a consequence of all those, sustainability... the survival of humanity will depend on our ecological literacy, on our ability to understand these principles of ecology and live accordingly."(Fritjof Capra, "The Web of Life", 1996)

"Understanding ecological interdependence means understanding relationships. It requires the shifts of perception that are characteristic of systems thinking—from the parts to the whole, from objects to relationships, from contents to patterns. [...] Nourishing the community means nourishing those relationships. (Fritjof Capra, "The Web of Life", 1996)

"Ecology, as it is currently practiced, sometimes deals with human impacts on ecosystems, but the more common tendency is to stick to 'natural' systems."(Robert Costanza & Janis King, "The first decade of ecological economics", Ecological Economics 28 (1), 1999)

"Ecological rationality uses reason – rational reconstruction – to examine the behavior of individuals based on their experience and folk knowledge, who are ‘naïve’ in their ability to apply constructivist tools to the decisions they make; to understand the emergent order in human cultures; to discover the possible intelligence embodied in the rules, norms and institutions of our cultural and biological heritage that are created from human interactions but not by deliberate human design. People follow rules without being able to articulate them, but they can be discovered." (Vernon L Smith, "Constructivist and ecological rationality in economics",  2002)

"Organizations need to undergo fundamental changes, both in order to adapt to the new business environment and to become ecologically sustainable." (Fritjof Capra, "The Hidden Connections", 2002)

"Ecology, on the other hand, is messy. We cannot find anything deserving of the term law, not because ecology is less developed than physics, but simply because the underlying phenomena are more chaotic and hence less amenable to description via generalization." (Lev Ginzburg & Mark Colyvan," Ecological Orbits: How Planets Move and Populations Grow", 2004)

"Limiting factors in population dynamics play the role in ecology that friction does in physics. They stop exponential growth, not unlike the way in which friction stops uniform motion. Whether or not ecology is more like physics in a viscous liquid, when the growth-rate-based traditional view is sufficient, is an open question. We argue that this limit is an oversimplification, that populations do exhibit inertial properties that are noticeable. Note that the inclusion of inertia is a generalization—it does not exclude the regular rate-based, first-order theories. They may still be widely applicable under a strong immediate density dependence, acting like friction in physics." (Lev Ginzburg & Mark Colyvan, "Ecological Orbits: How Planets Move and Populations Grow", 2004)

"It is science that brings us an understanding of the true complexity of natural systems. The insights from the science of ecology are teaching us how to work with the checks and balances of nature, and encouraging a new, rational, limited-input, environmentally sound means of vineyard management that offers a third way between the ideologically driven approach of Biodynamics and conventional chemical-based agricultural systems." (Jamie Goode," The Science of Wine: From Vine to Glass", 2005)

"An ecology provides the special formations needed by organizations. Ecologies are: loose, free, dynamic, adaptable, messy, and chaotic. Innovation does not arise through hierarchies. As a function of creativity, innovation requires trust, openness, and a spirit of experimentation - where random ideas and thoughts can collide for re-creation." (George Siemens, "Knowing Knowledge", 2006)

"Knowledge flow can be likened to a river that meanders through the ecology of an organization. In certain areas, the river pools and in other areas it ebbs. The health of the learning ecology of the organization depends on effective nurturing of flow." (George Siemens, "Knowing Knowledge", 2006)

"Nodes and connectors comprise the structure of a network. In contrast, an ecology is a living organism. It influences the formation of the network itself." (George Siemens, "Knowing Knowledge", 2006)

"[ecology:] the scientific study of the distribution and abundance of organisms and the interactions that determine distribution and abundance." (Michael Begon et al, "Ecology: From individuals to ecosystems", 2006)

"The living world can be viewed as a biological hierarchy that starts with subcellular particles, and continues up through cells, tissues and organs. Ecology deals with the next three levels: the individual organism, the population (consisting of individuals of the same species) and the community (consisting of a greater or lesser number of species populations). At the level of the organism, ecology deals with how individuals are affected by (and how they affect) their environment. At the level of the population, ecology is concerned with the presence or absence of particular species, their abundance or rarity, and with the trends and fluctuations in their numbers. Community ecology then deals with the composition and organization of ecological communities." (Michael Begon et al, "Ecology: From individuals to ecosystems", 2006)

"We need to renegotiate our contract with nature. Ecology is a unifying force that can diminish intolerance and expand our empathy towards others - both human and animal." (Gregory Colbert, "Peace and Harmony: The Message of Our Discovery", [Photo No. 427] 2006)

"When we focus on designing ecologies in which people can forage for knowledge, we are less concerned about communicating the minutiae of changing knowledge. Instead, we are creating the conduit through which knowledge will flow." (George Siemens, "Knowing Knowledge", 2006)

"Any new dominant communications medium leads to a new information ecology in society that inevitably changes the way ideas, feelings, wealth, power and influence are distributed and the way collective decisions are made." (Al Gore,"The Assault on Reason", 2007)

"Social ecology is based on the conviction that nearly all of our present ecological problems originate in deep-seated social problems. It follows, from this view, that these ecological problems cannot be understood, let alone solved, without a careful understanding of our existing society and the irrationalities that dominate it. To make this point more concrete: economic, ethnic, cultural, and gender conflicts, among many others, lie at the core of the most serious ecological dislocations we face today—apart, to be sure, from those that are produced by natural catastrophes." (Murray Bookchin, "Social Ecology and Communalism", 2007)

"In ecology, we are often interested in exploring the behavior of whole systems of species or ecosystem composed of individual components which interact through biological processes. We are interested not simply in the dynamics of each species or component in isolation, but the dynamics of each species or component in the context of all the others and how those coupled dynamics account for properties of the system as a whole, such as its persistence. This is what people seem to mean when they say that ecology is ‘holistic’, an otherwise rather vague term." (John Pastor, "Mathematical Ecology of Populations and Ecosystems", 2008)

"Much of what we deal with in ecology are rates of change of biological objects: growth of an organism, decay of a dead leaf, fluctuations in populations, accumulation or erosion of soil, increases or decreases in lake levels, etc. But rates of change are some of the hardest things to measure. What we measure are static properties such as the sizes of objects at different times and then infer that change has taken place between those two measurements." (John Pastor, "Mathematical Ecology of Populations and Ecosystems", 2008)

"Therefore, mathematical ecology does not deal directly with natural objects. Instead, it deals with the mathematical objects and operations we offer as analogs of nature and natural processes. These mathematical models do not contain all information about nature that we may know, but only what we think are the most pertinent for the problem at hand. In mathematical modeling, we have abstracted nature into simpler form so that we have some chance of understanding it. Mathematical ecology helps us understand the logic of our thinking about nature to help us avoid making plausible arguments that may not be true or only true under certain restrictions. It helps us avoid wishful thinking about how we would like nature to be in favor of rigorous thinking about how nature might actually work." (John Pastor, "Mathematical Ecology of Populations and Ecosystems", 2008)

"This new model of development would be based clearly on the goal of sustainable human well-being. It would use measures of progress that clearly acknowledge this goal. It would acknowledge the importance of ecological sustainability, social fairness, and real economic efficiency. Ecological sustainability implies recognizing that natural and social capital are not infinitely substitutable for built and human capital, and that real biophysical limits exist to the expansion of the market economy." (Robert Costanza, "Toward a New Sustainable Economy", 2008)

"The answers to the human problems of ecology are to be found in economy. And the answers to the problems of economy are to be found in culture and character. To fail to see this is to go on dividing the world falsely between guilty producers and innocent consumers." (Wendell Berry, "What Are People For?: Essays", 2010)

"Economists don't seem to have noticed that the economy sits entirely within the ecology." (Carl Safina, "The View from Lazy Point: A Natural Year in an Unnatural World", 2011)

"Shallow ecology is anthropocentric, or human-centered. It views humans as above or outside of nature, as the source of all value, and ascribes only instrumental, or ‘use’, value to nature. Deep ecology does not separate humans - or anything else-from the natural environment. It sees the world not as a collection of isolated objects, but as a network of phenomena that are fundamentally interconnected and interdependent. Deep ecology recognizes the intrinsic value of all living beings and views humans as just one particular strand in the web of life." (Fritjof Capra, "The Systems View of Life: A Unifying Vision", 2014)

"When we chop nature into bits in an attempt to understand it, we lose sight of the relationships among those bits. But ecological healing is all about the healing of relationships." (Charles Eisenstein, "Climate: A New Story", 2018)

"Ecology is] the science of relations between organisms and their environment." (Ernst Haeckel)

06 June 2020

Knowledge Representation: Defining Mental Models III

Mental Models
Mental Models Series

Packing one or more labels (expressing the same thing) together with a set of characteristics into discrete cognitive units within a context is what defines a concept. Therefore, one or more labels can be associated with a concept, while a label can be associated with more concepts when different contexts apply. 

Concepts are associated with physical objects (doors, keys, latches, knobs), subjects (doorman, locksmith), scenarios and actions (opening a door, opening a door with a key, opening a door without a key, closing a door, breaking a door). As previously discussed, this mix forms together a ‘mental model’, however more precision is needed if we want to delimit the borders of a mental model.

When one or more labels are associated with one or more actions, or a chain of causality exists, then a mental model can be more likely extrapolated (aka build). Minimally we can consider only one object (the door) and only one action (opening the door) with two states (door open, door closed). One can consider the action of opening a door also as an objective, while in addition a basis heuristic is also implied (pushing the door). Thus, to open the door, I push it, and it will open or will remain closed. This is a description of the simplest mechanical model I can build. 

Of course, I can consider more factors: if I don’t apply enough force, the door might not open, so the force applied needs to be higher than the resistance. However, “force” and “resistance” are indirectly considered in our model and for the sake of simplicity can be ignored. Still, I can extend the model with one more heuristic – trying again. I can try again by applying the same force, or by pushing the door with my body’s force (maximal force) if the door didn’t open the first time. In the later case we deal thus with a third heuristic. A fourth heuristic might be to slightly increase the push force. 

When one talks about repeatability of an action a loop is implied with an exist condition - I push the door, it doesn’t open, then I try to apply more force. When just enough force is applied the door opens, and this is the exit criterion from the loop. If after several tries the door doesn’t open, then one has the choice of persisting or of breaking the option – another exit criterion. Typically a few tries are enough, though one might be tempted to try again later, though this behavior might include other drivers and probably the existence of other models. 

One can extend the model by including a door latch and with it adding more heuristics, pushing down/up the latch, if a simple push of the door doesn’t work. With it the number of states increases – latch push down, respectively up. Also here the force applied plays an important role and a loop is implied. The more objects are involved, more complex the model becomes. Of course, one doesn’t need to consider all the heuristics and states, just the more relevant or more probably one. 

On the other side, the model we are trying to build even if reflects to some degree how the mind works, is deeply submerged into our cognitive space to the degree that it become an automatism. However, we can become aware of the entire mechanism as soon we try to describe it into a functional unit, even if the process might not always be that straightforward as we would like to. In addition, the are many elements which we are forced to ignore or simplify. 

Knowledge Representation: Defining Mental Models II

Mental Models
Mental Models Series

Even if a good definition for a concept is available this doesn’t mean that people are able to recognize concept’s characteristics, usage and area of applicability. Therefore, the easiest way to understand what a concept like ‘mental model’ is about is by having one or more representative examples. Even if the examples aren’t always sufficient, they allow us in theory more chances to succeed. With this in mind, let’s consider the scenario of ‘opening a door’. 

If I need to open the door, then I can use the door knob or latch to do that. If I try that and the door doesn’t open, then I might also need a certain key (or one deals with something that isn’t a door, e.g. a false door). Only a specific key will work unless I have a master key which can open any door within the building, though not in other buildings. Supposing that I have other special skills, I could open a locked door with other objects – a big and hard object that will break the door, maybe a picklock, or any other device that will help me achieve that. Otherwise I can call somebody who has the skills or means to do it. I still need to differentiate between the different types of doors, keys or on whether I am or not entitled to enter the building.

We deal thus with a set of objects (doors, keys, knobs, latches, picklock), subjects (doorman, security man, locksmith), actions (opening, breaking, entering), heuristics (trying the knob first, first trying by myself then ask for help) and contexts (am I entitled to open the door?, can I ask for help?) which, when put together form a mental model. If we look at this mix, one can break it down to smaller units – how to open a door, a lock, how to bypass security, how to break a door, etc. All these can be considered as separate mental models which when put within a context or situation can form another mental model. Therefore, the delimitation between mental models is really thin as many mental models overlap or aggregate to handle more complex situations. 

To open a door, one even doesn’t need to know how the objects or subjects are called. Being able to use a language gives us this luxury. In contrast, a cat or a dog can open an unlocked door (when that is possible) and probably there must have some cognitive structure that allows them to recognize that they deal with something that can be opened, how it could be opened, and repeat the action when needed. Of course, they could also mimic behavior they have seen (us opening the door), though there must be a small sprung of intelligence in recognizing that by reaching to the door latch and grabbing it the door will open.

Being able to use language allows us to describe and communicate how to open a door, how to arrive from A to B, how to solve problems, etc. Labeling things and agreeing on the labels with other people helps in the process, to the degree that we can use the respective labels to communicate with people we don’t even know, or cope with unknown situations based on descriptions using the labels we know (e.g. opening a door with a touch key). It helps also that the labels carry with them some characteristics that define them and that characteristics apply to a set of objects sharing them. There are also characteristics that can slightly differ, while upon case these variances can be ignored or make a considerable difference.


05 June 2020

Knowledge Representation: Mental Models - An Early Retrospective

Browsing through the various material available on mental models it’s hard not to observe the frequency with which relatively modern scholastic sources like Craik [46], Johnson-Laird [47] or Boulding [48] are considered as starting points in elaborating the ideas. One is tempted to believe there's nothing else before them. However, as soon one leaves the standard paths of cognitive sciences and adventure on the paths of philosophy or pseudosciences, one is surprised to find a rich of material attempting to describe how the mind perceives, represents und understands reality, respectively the phenomena we deal with. 

One can agree that Craik’s work was a milestone within this context, as he considered that organisms and not only humans carry ‘small-scale model’ of external reality (aka mental models). However the term can be rooted back to antiquity if we consider Aristotle’s phantasmata (mental images) - perceptual states without matter used by intellect to think and associated with the imagination faculty [4] [5]. Similar interpretations appear in Augustinus [8], Avicenna [9] [10] [11], Maimonides [12], Aquinas [13] and much later St. Thomas [14] or Spinoza’s [16] works. Probably many of these sources have as direct or indirect source Aristotle’s work.

One can be entitled to suppose that there are also earlier similar attempts to explain how the mind reflects the reality, for example Plato’s 'images of beauty' [3] and model of resemblance [2]. Further early references are met in the works of Cicero [6] or Plotinus’ Enneads [7]. The available translations are maybe copies that haven’t kept the original or the meaning were adapted to modern times. References to the 'eye of the mind' or the 'thinking soul' are indicators for such attempts, typically in the context of treating imagination and perception themes.

One should not neglect the scriptures of the East, probably the earliest knowledge sources which attempted to describe metaphorically the inner workings of the mind. Patañjali 'Yoga Sūtras' [1] is maybe the best-known example of such sources, available in various translations with rich commentaries. Despite its character of pseudoscience and its interpretational complexity, the depth of the work could provide food for thought for the scientist and nonscientist altogether.

Hobbes [15], Berkely [17] [18], Hume [19], Reid [21] or Coleridge’s [22] [23] works seem to be more elaborated and have the advantage of eliminating the translator from the process, being to some degree easier to consume, despite the complex logical constructs of the literary style and the muddy character of the advanced ideas. In opposition with them, Kant [20] and later Nietzsche’s [25] works form the groundwork on which the modern German and European philosophy was built upon. Kant and  Nietzsche’s schemas and schemata reflect the purposeful and structural character of such representations when associated with concepts.

Starting with Helmholtz’s 'Anschauungsbild' [24] (mental image) the term starts being use by scientists like Hertz [26] [31], Boltzmann [29] [35], Heisenberger [44] or Dirac [43] in respect to the modelling of phenomena. In parallel the works of Galton [27], Frege [28] [39], James [30], Peirce [32] [37] [38], Bergson [33], Wundt [34], Ribot [36], Wittgenstein [40], Freud [41], Piaget [42] or Sartre [45] represent a new wave into the development of cognitive sciences. It’s a really long list of precursors, probably incomplete, and ignoring them in the detriment of Craik, Johnson-Laird, Boulding, or any others, is an injustice made to the former.

Whether one talks about phantasmata, (mental) images, pictures, models or representations, schema, schemata, diagrams, conceptual schemes/models, or frames, they are all metaphors with similar meaning. It’s important to stress the fact that the metaphors used across the centuries and geographies reflect also the vocabulary available and the languages used to express them. The deeper one dives into the early ages’ cultural heritage, the more one discovers such metaphors. Unfortunately, without appropriate keys to decipher them and minds to explore them, the sources can become lost in the thread of time. 

References (the quotes are available here):
[1] Yoga Sūtras of Patañjali, cca. 500 BC-400 CE
[2] Plato, “The Symposium", cca. 385–370 BC)
[3] Plato, “Timaeus”, 360 BC
[4] Aristotle, "De Anima" III, cca. 350 BC
[5] Aristotle, “De Memoria et Reminiscentia” [On Memory and Recollection], 4th century BC
[6] Marcus Tullius Cicero, "De Natura Deorum" ["On the Nature of the Gods"], 45 BC
[7] Plotinus, “Enneads”, cca. 270 AD
[8] Aurelius Augustinus, "The City of God", early 400s
[9] Avicenna Latinus [Ibn Sina], "A Compendium on the Soul", cca. 996-997
[10] Avicenna Latinus [Ibn Sina], "Liber De anima", cca. 1014-1027
[11] Avicenna Latinus [Ibn Sina], "Pointer and Reminders", cca. 1030
[12] Moses Maimonides, “The Guide for the Perplexed”, 1190
[13] Saint Thomas Aquinas, “De Anima” III, cca. 1268
[14] John of St. Thomas, “Tractatus de signis”, 1632
[15] Thomas Hobbes, “Leviathan”, 1651
[16] Baruch Spinoza, "Ethics", 1677
[17] George Berkeley, "Principles of Human Knowledge", 1710
[18] George Berkeley, "Three Dialogues", 1713
[19] David Hume, “Treatise of Human Nature”, 1738
[20] Immanuel Kant," Critique of Pure Reason", 1781
[21] Thomas Reid, "Essays on the Intellectual Powers of Man", 1785
[22] Samuel T Coleridge, "On the Principles of Genial Criticism", 1814
[23] Samuel T Coleridge, "The Statesman's Manual", 1816 
[24] Hermann von Helmholtz, "Tonempfindungen" ["Sensations of Tone"], 1863
[25] Friedrich Nietzsche, "On Truth and Lie in an Extra-Moral Sense", 1873
[26] Heinrich Hertz, "The Facts in Perception", 1878
[27] Francis Galton, “Mental imagery”, 1880
[28] Gottlob Frege, "The Foundations of Arithmetic", 1884
[29] Ludwig E Boltzmann, “On the Significance of Theories”, 1890
[30] William James, “The Principles of Psychology”, 1890
[31] Heinrich Hertz, “The Principles of Mechanics Presented in a New Form”, 1894
[32] Charles S Peirce, “Kinds of Reasoning”, cca. 1896
[33] Henri Bergson, "Matter and Memory", 1896
[34] Wilhelm M Wundt, “Outlines of Psychology”, 1897
[35] Ludwig Boltzmann, "On the development of the methods of theoretical physics", 1899
[36] Théodule-Armand Ribot, "Essay on the Creative Imagination", 1900
[37] Charles S Peirce, “Fallibility of Reasoning and the Feeling of Rationality”, cca. 1902
[38] Charles S Peirce, “On Existential Graphs, Euler's Diagrams, and Logical”, 1903 
[39] Gottlob Frege, [in "On the Foundations of Geometry and Formal Theories of Arithmetic" 1971] cca. 1903-1909
[40] Ludwig Wittgenstein, “Tractatus Logico-Philosophicus”, 1922
[41] Sigmund Freud, "The Ego And The Id", 1923
[42] Jean Piaget, "The Language and Thought of the Child", 1926
[43] Paul A M Dirac, "The Principles of Quantum Mechanics", 1930
[44] Werner K Heisenberg, "The Physical Principles of the Quantum Theory", 1930
[45] Jean-Paul Sartre, “The Psychology of Imagination”, 1940)
[46] Kenneth Craik, “The Nature of Explanation”, 1943
[47] Kenneth E Boulding, "The Image: Knowledge in life and society", 1956
[48] Philip Johnson-Laird, "Mental models: Toward a cognitive science of language, inference, and consciousness", 1983
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