11 October 2019

Knowledge Representation: On Map vs. Territory (Quotes)

"'That’s another thing we’ve learned from your Nation,' said Mein Herr, 'map-making. But we’ve carried it much further than you. What do you consider the largest map that would be really useful?' [...] 'We very soon got to six yards to the mile. Then we tried a hundred yards to the mile. And then came the grandest idea of all! We actually made a map of the country, on the scale of a mile to the mile!'" (Lewis Carroll, "Sylvie and Bruno Concluded, 1893)

"Let us imagine that a portion of the soil of England has been levelled off perfectly and that on it a cartographer traces a map of England. The job is perfect; there is no detail of the soil of England, no matter how minute, that is not registered on the map; everything has there its correspondence. This map, in such a case, should contain a map of the map, which should contain a map of the map of the map, and so on to infinity." (Josiah Royce, "The World and the Individual", 1899)

"The map appears to us more real than the land." (David W Lawrence, "Study of Thomas Hardy", cca. 1914)

"If we consider an actual territory (a) say, Paris, Dresden, Warsaw, and build up a map (b) in which the order of these cities would be represented as Dresden, Paris, Warsaw; to travel by such a map would be misguiding, wasteful of effort. In case of emergencies, it might be seriously harmful. We could say that such a map was ‘not true’, or that the map had a structure not similar to the territory, structure to be defined in terms of relations and multidimensional order. We should notice that: A) A map may have a structure similar or dissimilar to the structure of the territory. B) Two similar structures have similar ‘logical’ characteristics. Thus, if in a correct map, Dresden is given as between Paris and Warsaw, a similar relation is found in the actual territory. C) A map is not the territory. D) An ideal map would contain the map of the map, the map of the map of the map, endlessly." (Alfred Korzybski, "Science and Sanity: A Non-Aristotelian System and Its Necessity for Rigour in Mathematics and Physics", 1931)

"A language is like a map; it is not the territory represented, but it may be a good map or a bad map. If the map shows a different structure from the territory represented-for instance, shows the cities in a wrong order, or some places east of others while in the actual territory they are west - then the map is worse than useless, as it misinforms and leads astray. One who made use of it could never be certain of reaching his destination. The use of ellanguage to represent events which operate as-a-whole is, at least, equally misguiding and semantically dangerous." (Alfred Korzybski, "Science and Sanity: An Introduction to Non-Aristotelian Systems and General Semantics", 1933)

"If words are not things, or maps are not the actual territory, then, obviously, the only possible link between the objective world and the linguistic world is found in structure, and structure alone. The only usefulness of a map or a language depends on the similarity of structure between the empiricalworld and the map-languages. If the structure is not similar, then the traveller or speaker is led astray, which, in serious human life-problems, must become always eminently harmful. If the structures are similar, then the empirical world becomes 'rational' to a potentially rational being, which means no more than that verbal, or map-predicted characteristics, which follow up the linguistic or mapstructure, are applicable to the empirical world." (Alfred Korzybski, "Science and Sanity: An Introduction to Non-Aristotelian Systems and General Semantics", 1933)

"The map is not the thing mapped. When the map is identified with the thing mapped we have one of the vast melting pots of numerology. Notice also that the relation considered in the map does not (in this instance at least) make sense if it is supposed to hold for the things mapped." (Eric T Bell, Numerology, 1933)

"Two important characteristics of maps should be noticed. A map is not the territory it represents, but, if correct, it has a similar structure to the territory, which accounts for its usefulness. If the map could be ideally correct, it would include, in a reduced scale, the map of the map; the map of the map, of the map [...]" (Alfred Korzybski, "Science and Sanity: An Introduction to Non-Aristotelian Systems and General Semantics", 1933)

"The first of the principles governing symbols is this: The symbol is NOT the thing symbolized; the word is NOT the thing; the map is NOT the territory it stands for." (Samuel I Hayakawa, "Language in Thought and Action", 1949)

"No map contains all the information about the territory it represents. The road map we get at the gasoline station may show all the roads in the state, but it will not as a rule show latitude and longitude. A physical map goes into details about the topography of a country but is indifferent to political boundaries. Furthermore, the scale of the map makes a big difference. The smaller the scale the less features will be shown." (Anatol Rapoport, "Science and the goals of man: a study in semantic orientation", 1950)

"We say the map is different from the territory. But what is the territory? Operationally, somebody went out with a retina or a measuring stick and made representations which were then put on paper. What is on the paper map is a representation of what was in the retinal representation of the man who made the map; and as you push the question back, what you find is an infinite regress, an infinite series of maps. The territory never gets in at all. […] Always, the process of representation will filter it out so that the mental world is only maps of maps, ad infinitum." (Gregory Bateson, "Steps to an Ecology of Mind", 1972)

"The map is not the territory, and the name is not the thing named." (Gregory Bateson, "Mind and Nature: A Necessary Unity", 1979)


"The ultimate metaphysical secret, if we dare state it so simply, is that there are no boundaries in the universe. Boundaries are illusions, products not of reality but of the way we map and edit reality. And while it is fine to map out the territory, it is fatal to confuse the two." (Ken Wilber, "No Boundary: Eastern and Western Approaches to Personal Growth", 1979)

"Today abstraction is no longer that of the map, the double, the mirror, or the concept. Simulation is no longer that of a territory, a referential being or substance. It is the generation by models of a real without origin or reality: A hyperreal. The territory no longer precedes the map, nor does it survive it. It is nevertheless the map that precedes the territory - precession of simulacra - that engenders the territory." (Baudrillard Jean, "Simulacra and Simulation", 1981)

"The most promising words ever written on the maps of human knowledge are terra incognita, unknown territory." (Daniel J Boorstin, "The Discoverers: A History of Man's Search to Know His World and Himself", 1983)


"For our purposes, a simple way to understand paradigms is to see them as maps. We all know that ‘the map is not the territory’. A map is simply an explanation of certain aspects of the territory. That’s exactly what a paradigm is. It is a theory, an explanation, or model of something else." (Stephen R Covey, "The 7 Habits of Highly Effective People", 1989)

"Principles are the territory. Values are maps. When we value correct principles, we have truth - a knowledge of things as they are." (Stephen R Covey, "The 7 Habits of Highly Effective People", 1989)

"None of us see the world as it is but as we are, as our frames of reference, or maps, define the territory." (Stephen Covey, "Principle Centered Leadership", 1992)

"Today abstraction is no longer that of the map, the double, the mirror, or the concept. Simulation is no longer that of a territory, a referential being or substance. It is the generation by models of a real without origin or reality: A hyperreal. The territory no longer precedes the map, nor does it survive it. It is nevertheless the map that precedes the territory - precession of simulacra - that engenders the territory." (Jean Baudrillard, "Simulacra and Simulation", 1994)

"Our view of reality is like a map with which to negotiate the terrain of life. If the map is true and accurate, we will generally know how to get there. If the map is false and inaccurate, we generally will be lost." (M Scott Peck, "Wisdom from the Road Less Traveled", 2001)

"One describes a tale best by telling the tale. You see? The way one describes a story, to oneself or the world, is by telling the story. It is a balancing act and it is a dream. The more accurate the map, the more it resembles the territory. The most accurate map possible would be the territory, and thus would be perfectly accurate and perfectly useless. The tale is the map that is the territory." (Neil Gaiman, "Fragile Things", 2006)

"But ignorance exists in the map, not in the territory. If I am ignorant about a phenomenon, that is a fact about my own state of mind, not a fact about the phenomenon itself. A phenomenon can seem mysterious to some particular person. There are no phenomena which are mysterious of themselves. To worship a phenomenon because it seems so wonderfully mysterious, is to worship your own ignorance." (Eliezer Yudkowsky, "Mysterious Answers To Mysterious Questions" 2007)


"It is hard to navigate across one’s environment without having some ideas, however coarse, about it. Indeed, to face any situation we must know whether it is real or imaginary, profane or sacred, sensitive or insensitive to our actions, and so on. This is why even lowly organisms develop, if not worldviews, at least rough sensory maps of their immediate environment – as noted by ethologists from the start. But it is generally assumed that only humans can build conceptual models of their environments. And, except for some philosophers, humans distinguish maps from the territories they represent." (Mario Bunge, "Matter and Mind: A Philosophical Inquiry", 2010)


"A map does not just replicate the shape of a territory; rather, it actively inflects and works over that territory." (Steven Shaviro, "Post Cinematic Affect", 2010)


“An all-inclusive model would be like the map in the famous story by Borges - perfect and inclusive because it was identical to the territory it was mapping." (Reuben Hersh, ”Mathematics as an Empirical Phenomenon, Subject to Modeling”, 2017)

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