Psychohistory is a fictional science in
Isaac Asimov
yi, יצחק אזימאװ
, birth_date =
, birth_place = Petrovichi, Russian SFSR
, spouse =
, relatives =
, children = 2
, death_date =
, death_place = Manhattan, New York City, U.S.
, nationality = Russian (1920–1922)Soviet (192 ...
's
''Foundation'' universe which combines
history
History (derived ) is the systematic study and the documentation of the human activity. The time period of event before the History of writing#Inventions of writing, invention of writing systems is considered prehistory. "History" is an umbr ...
,
sociology
Sociology is a social science that focuses on society, human social behavior, patterns of Interpersonal ties, social relationships, social interaction, and aspects of culture associated with everyday life. It uses various methods of Empirical ...
, and
mathematical statistics to make general predictions about the future behavior of very large groups of people, such as the
Galactic Empire
Galactic empires are a common trope used in science fantasy and science fiction, particularly in works known as 'space operas'. Many authors have either used a galaxy-spanning empire as background or written about the growth and/or decline of s ...
. It was first introduced in the four short stories (1942–1944) which would later be collected as the 1951 novel ''
Foundation''.
In-universe
Axioms
Psychohistory depends on the idea that, while one cannot foresee the actions of a particular individual, the
laws of statistics as applied to large groups of people could predict the general flow of future events. Asimov used the analogy of a
gas
Gas is one of the four fundamental states of matter (the others being solid, liquid, and plasma).
A pure gas may be made up of individual atoms (e.g. a noble gas like neon), elemental molecules made from one type of atom (e.g. oxygen), or ...
: An observer has great difficulty in predicting the motion of a single molecule in a gas, but with the
kinetic theory
Kinetic (Ancient Greek: κίνησις “kinesis”, movement or to move) may refer to:
* Kinetic theory, describing a gas as particles in random motion
* Kinetic energy, the energy of an object that it possesses due to its motion
Art and ente ...
can predict the
mass action of the gas to a high level of accuracy. Asimov applied this concept to the population of his fictional
Galactic Empire
Galactic empires are a common trope used in science fantasy and science fiction, particularly in works known as 'space operas'. Many authors have either used a galaxy-spanning empire as background or written about the growth and/or decline of s ...
, which numbered one
quintillion. The character responsible for the science's creation,
Hari Seldon
Hari Seldon is a fictional character in Isaac Asimov's ''Foundation'' series. In his capacity as mathematics professor at Streeling University on the planet Trantor, Seldon develops psychohistory, an algorithmic science that allows him to predict ...
, established two
axiom
An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word (), meaning 'that which is thought worthy or f ...
s:
* that the population whose behavior was modeled should be sufficiently large
* that the population should remain in ignorance of the results of the application of psychohistorical analyses because if it is aware, the group changes its behaviour.
Ebling Mis
This is a list of characters in Isaac Asimov's ''Foundation'' series.
Through the centuries-spanning nature of the ''Foundation'' series, the lives of its various characters are limited to one or two of its nine episodes. In spite of the great s ...
added these axioms:
* that there would be no fundamental change in the society
* that human reactions to stimuli would remain constant.
Golan Trevize
This is a list of characters in Isaac Asimov's ''Foundation'' series.
Through the centuries-spanning nature of the ''Foundation'' series, the lives of its various characters are limited to one or two of its nine episodes. In spite of the great su ...
in ''
Foundation and Earth'' added this axiom:
* that humans are the only sentient intelligence in the galaxy.
The Prime Radiant
Asimov presents the Prime Radiant, a device designed by
Hari Seldon
Hari Seldon is a fictional character in Isaac Asimov's ''Foundation'' series. In his capacity as mathematics professor at Streeling University on the planet Trantor, Seldon develops psychohistory, an algorithmic science that allows him to predict ...
and built by
Yugo Amaryl
This is a list of characters in Isaac Asimov's ''Foundation'' series.
Through the centuries-spanning nature of the ''Foundation'' series, the lives of its various characters are limited to one or two of its nine episodes. In spite of the great su ...
, as storing the psychohistorical
equations
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign . The word ''equation'' and its cognates in other languages may have subtly different meanings; for example, in F ...
showing the future development of humanity.
The Prime Radiant projects the equations onto walls in some unexplained manner, but it does not cast shadows, thus allowing workers easy interaction. As a tool of the Second Foundation, control operates through the power of the mind, allowing the user to zoom in to details of the equations, and to change them. One can make annotations, but by convention all amendments remain anonymous.
A student in the Second Foundation destined for Speakerhood has to present an amendment to the plan. Five different boards then check the mathematics rigorously. Students have to defend their proposals against concerted and merciless attacks. After two years, the change gets reviewed again. If after the second examination it still passes muster, the contribution becomes part of the
Seldon Plan
Hari Seldon is a fictional character in Isaac Asimov's Foundation series, ''Foundation'' series. In his capacity as mathematics professor at Streeling University on the planet Trantor, Seldon develops Psychohistory (fictional), psychohistory, an al ...
.
The Radiant, as well as being interactive, employs a type of colour-coding to equations within itself for ready comprehension by Psychohistorians.
* Seldon Black are the original Seldon Plan equations developed by Seldon and Amaryl during the first four decades of Seldon's work at the University of Streeling, and define Seldon Crises, the Plan's duration, and the eventuation of the Second Galactic Empire.
* Speaker Red are additions to the plan by Speakers (Senior Mentalic Psychohistorians of the Second Foundation) since the time of Seldon.
* Deviation Blue are observed deviations away from Psychohistorical projections with a deviation in excess of 1.5 standard deviation of predicted outcomes (1.5 σ). The Era of Deviations, at the rise of the
Mule
The mule is a domestic equine hybrid between a donkey and a horse. It is the offspring of a male donkey (a jack) and a female horse (a mare). The horse and the donkey are different species, with different numbers of chromosomes; of the two pos ...
, produced deviations in the Seldon Plan in excess of .5 through 10 sigmas, and the resolution of this period required a full century of labour by members of the Second Foundation, often with dangerous interventions and uncertain likelihood of success, to return the Galaxy to the Plan.
Other colours have been imagined by fans, and mentioned by Asimov, such as:
* Notation Green – additions of pertinent scientific papers appended to findings (
Forward the Foundation
''Forward the Foundation'' is a novel by American writer Isaac Asimov, published posthumously in 1993. It is the second of two prequels to the ''Foundation'' Series. It is written in a format similar to that of the original book, ''Foundation'', ...
)
* Projection Purple – Useful for determining limits on future Speaker Red equations, using projections of events with regard to a very sketchy but still monumental Seldon Black scheme. A tool of the first three generations of Psychohistorians after Seldon, and by the 5th Century of the Plan a teaching tool at most. (Forward the Foundation)
Development
One year prior to the publication of his first story about psychohistory in 1942, Asimov alluded to ''
mathematical psychology
Mathematical psychology is an approach to psychological research that is based on mathematical modeling of perceptual, thought, cognitive and motor processes, and on the establishment of law-like rules that relate quantifiable stimulus character ...
'' and the science of psychology eventually being as predictable as organic chemistry, in a letter to the editor of ''
Astounding Science-Fiction
''Analog Science Fiction and Fact'' is an American science fiction magazine published under various titles since 1930. Originally titled ''Astounding Stories of Super-Science'', the first issue was dated January 1930, published by William C ...
''. In his later career, Asimov described some historical (pre-Seldon) origins of psychohistory. In ''
The Robots of Dawn'' (1983), which takes place thousands of years before ''
Foundation'' (1951), he describes roboticist
Han Fastolfe's attempts to create the science based on careful observation of others, particularly of his daughter
Vasilia. ''
Prelude to Foundation'' (1988) suggests that one of Fastolfe's robots,
R. Daneel Olivaw
R. Daneel Olivaw is a fictional robot created by Isaac Asimov. The "R" initial in his name stands for "Robot," a naming convention in Asimov's future society during Earth's early period of space colonization. Daneel is introduced in ''The Caves ...
, manipulated Seldon into practical application of this science.
Limitations
The fact that Seldon established a Second Foundation of mental-science adepts to oversee his
Seldon Plan
Hari Seldon is a fictional character in Isaac Asimov's Foundation series, ''Foundation'' series. In his capacity as mathematics professor at Streeling University on the planet Trantor, Seldon develops Psychohistory (fictional), psychohistory, an al ...
might suggest that even Seldon himself had doubts about the ultimate ability of a purely mathematical approach to predicting historical processes, and that he recognized that the development of psychic skills, such as those used by
the Mule, had the ability to invalidate the assumptions underlying his models, though he did not (and could not) predict the appearance of the Mule himself. The Seldon methodology might therefore only work at a certain level of species-development, and would over time become less useful.
Psychohistory has one basic, underlying limitation which Asimov postulated for the first time on the last page of the final book in the ''Foundation'' series: psychohistory only functions in a galaxy populated only by humans. In Asimov's Foundation series, humans form the only sentient race that developed in the entire
Milky Way
The Milky Way is the galaxy that includes our Solar System, with the name describing the galaxy's appearance from Earth: a hazy band of light seen in the night sky formed from stars that cannot be individually distinguished by the naked eye ...
Galaxy. Seldon developed psychohistory to predict the actions of large groups of ''humans''. Even robots technically fall under the umbrella of psychohistory, because humans built them, and they thus represent more or less a human "action", or at least, possess a thought-framework similar enough to that of their human creators that psychohistory can predict their actions. However, psychohistory cannot predict the actions of a sentient alien race; their psychology may differ so much from that of humans that normal psychohistory cannot understand or predict their actions.
The end of the series offered two possibilities:
# sentient races actually very rarely develop, such that only humans evolved in the
Milky Way Galaxy, and in most ''other'' galaxies, it appears probable (given this assumption) that only one sentient race would develop. However, statistically two or more alien races might evolve in the same galaxy, leading them into inevitable conflict. The fighting in this other galaxy would only end when one race emerged the victor, and after the prolonged conflict with other races, would have developed an aggressive and expansionist mindset. In contrast, humans had never encountered another sentient species in the Milky Way Galaxy, so they never felt greatly compelled to expand to other galaxies, but instead to fight other humans over control of the Milky Way. Eventually, such an aggressive alien race would expand from galaxy to galaxy, and try to invade the Milky Way Galaxy.
# through genetic engineering, subsets of humanity could alter themselves so significantly from baseline humans that they could for all intents and purposes be considered "aliens". Specifically exemplifying this theory we find Asimov's
Solarians: humans evolved from an old Spacer world who had genetically modified themselves into
hermaphrodite
In reproductive biology, a hermaphrodite () is an organism that has both kinds of reproductive organs and can produce both gametes associated with male and female sexes.
Many Taxonomy (biology), taxonomic groups of animals (mostly invertebrate ...
s with
telekinetic mental powers.
Seldon Plan
Seldon used psychohistory to predict that the Galactic Empire would fall: this was a generations-long process which had already begun, and was too far gone to stop. This would result in a subsequent 30,000 years of barbarism, before the various petty kingdoms of the galaxy eventually aggregated again into a Second Empire. It was possible, however, to use psychohistory to influence future events in such a way that this "Great Interregnum" was shortened from 30,000 years to a mere 1,000. To implement his plan, Seldon creates the Foundations – two groups of scientists and engineers settled at opposite ends of the galaxy – to preserve the spirit of science and civilization, and thus become the cornerstones of the new galactic empire. The First Foundation was located at Terminus, an isolated planet at the fringe of the galaxy, and was tasked with preserving and advancing scientific knowledge. As the outer provinces of the Galactic Empire fragmented politically and declined technologically, the First Foundation would maintain this advantage over them. Secretly, the Second Foundation was focused on psychohistory itself, updating Seldon's predictions as the generations passed and subtly influencing events to ensure that the Plan would succeed.
The Seldon Plan for the First Foundation focused on ten major crises that it would face over the next thousand years. Hari Seldon made a series of holographic recordings about each crisis, set to be revealed one at a time to the Foundation at the predicted time each one occurred. The general outline of the Seldon Plan can be inferred from the Crises:
# ''Balance of Power'' – the political fragmentation of the galaxy would begin at its outermost fringes, as the Periphery provinces split off into petty interstellar kingdoms, fifty years after the settlement of Terminus. When this came to pass, the region around Terminus itself broke up into the "Four Kingdoms", the most powerful of which was Anacreon. Each of the Four Kingdoms wanted to conquer Terminus to seize its advanced technology. The solution to this crisis was to play off each of the Four Kingdoms against each other, arranging treaties so that a direct invasion by any one of the kingdoms would be met with an immediate counter attack by the other three, ensuring the invading kingdom was defeated before they could make use of the Foundation's technology to defeat the other kingdoms.
# ''Religion'' – thirty years later, one of the surrounding barbarian kingdoms would aggregate enough power that even the threat of all its neighbors united against it could no longer deter it. When this came to pass, it was Anacreon. During the intervening time period, the neighboring kingdoms had pressured the Foundation to send them technological aide rather than face conquest – in turn, making them dependent on the Foundation, which actively encouraged the population of these kingdoms to revere their technology with religious awe. Thus when Anacreon attempted a direct attack on the Foundation, its own people revolted against it.
# ''Trade Alone'' – By about 150 years into the Plan (70 years after the second crisis), the religious infiltration of the Foundation into surrounding kingdoms would begin to wear off – due to a combination of time, recovering technological base in other parts of the galaxy, or simply that other barbarian kingdoms wised up to the prior strategy and refused to let Foundation missionaries into their borders. Seldon's own recording stated that a major reason religious/spiritual sway would eventually lose influence was due to a growing sense of regionalism/nationalism among the barbarian kingdoms, in which the prior rule of the Galactic Empire was beyond living memory (in contrast, Anacreon's population was willing to revolt against its leaders only eighty years after independence). By this point, however, the Foundation would become enough of an economic power (now ruling the territory of the Four Kingdoms and expanding beyond them), that it could wield this as a non-violent weapon. Through trade alone, barbarian kingdoms would become dependent on Foundation technology, and then could be blockaded into submission without firing a shot. This passed as predicted, using an economic blockade to defeat the Republic of Korell.
# ''Foundation and Empire'' – Two centuries into the Plan, the Foundation's growing trade hegemony in the Periphery would grow large enough that it would attract the direct attention of the Galactic Empire – mighty even in decay. While by that point the Empire only retained control over the inner third of the galaxy, these interior provinces had always been their core powerbase, controlling three-quarters of the galaxy's wealth and population (to the point that many in the Empire still didn't even notice it was in a decline). This happened as predicted: the last great general of the Empire, Bel Riose, serving its last great emperor, Cleon II, launched a campaign to conquer the Foundation. This time there was no masterstroke that the Foundation needed to win other than sheer tenacity, as the Empire was doomed to fail: a weak general was no threat to them, while a strong general under a weak emperor would rather conquer the centers of imperial power than the Foundation at its fringe. The only scenario that would result in an attack was a strong general under a strong emperor, but inherently, that emperor would see the general's growing conquests as a threat and eventually remove him – Cleon II ultimately had Bel Riose arrested on false charges of treason, after which the Empire experienced numerous civil wars and its rate of decline drastically increased. The strong general and emperor could never be the same person, because if the emperor went to conquer the fringes in person, usurpers would rise up in the central provinces.
# ''Independent Traders'' – Three centuries into the Plan, the Foundation's sphere of influence would expand enough that Terminus was no longer the only center of economic power. The "Merchant Princes" on its border worlds, selling technology to barbarian kingdoms, would become powerful in their own right. Meanwhile, the central power of the Mayors of Terminus would grow increasingly corrupt, as wealth became concentrated. The independent traders would revolt against the central authority of the Mayor of Terminus, and although they would ultimately lose, the civil war would nonetheless result in key social and political reforms that would undo the corruption that instigated the crisis. In many ways the Foundation would experience the same problems (corruption and over-centralisation) that led to the decline of the Empire, although it would become stronger for doing so. The conditions for this Crisis to occur happened as predicted – the Mayor became a hereditary office, inherited by the incompetent descendant of once-competent predecessors, and the consortium of Independent Traders began talks where they mentioned rebellion. The crisis did not pass as predicted, the first of Seldon's Crises to fail to occur (with incredible accuracy) when predicted. Indeed, a hologram of Seldon appeared and discussed the Crisis, and how it would've been solved, before a large audience that was occupied by a different crisis.
#*Seldon's Plan was totally upset by the unpredicted appearance of the Mule, a mutant with the telepathic powers to control people's minds – 'mentalic' powers. The Mule conquered the Foundation, and the Independent Trader worlds, and swept aside the last remnants of the Galactic Empire. The Mule, however, was eventually defeated by the Second Foundation, which was also focused on developing mentalic powers in order to guide Seldon's Plan with a firm hand, ensuring that either important events occur as predicted, or that the consequences of those events are managed such that the original event might as well have passed as predicted. With the Mule defeated, The Second Foundation then essentially "fakes its own death", convincing the resurgent First Foundation that the Second Foundation had existed but was now destroyed, to fulfill the tenet of psychohistory that the target population must not be aware they are being influenced, lest it alter their behaviors. Knowing that they were being influenced would be an additional (unmanaged) influence.
# This Seldon Crisis was not described.
# This Seldon Crisis was not described.
# ''Relocating the Capital'' – after 500 years, the people of Foundation would be in a position to consider moving their capital from Terminus, safe at the edge of the Galaxy, to a point much closer to the centre. While this debate did occur, this Crisis was not, as the others had been, a focal point for the narrative, and is given is less detail. The debate is ostensibly about moving the capital for economic purposes but, five centuries after the creation of the Foundation, halfway through the 1,000 year long "Great Interregnum", the Foundation, now known as the Foundation Federation, is now in a position of great power. Therefore there is an underlying debate about obeying Seldon's Plan (which predicted the capital would remain on Terminus, with 87.2% probability, and the Second Galactic Empire was still 500 years away) or following a different path – they directly controlled one third of the galaxy, spread out from Terminus at the edge. They had faced no other major galactic rivals since the defeat of the First Galactic Empire (under Riose), with the greatest threat in that time being internal enemies that could form if it expanded too recklessly. The Foundation's control over so much territory led to a push to move the capital closer to the center. Ultimately this was rejected and the capital remained on Terminus, as Seldon predicted. Moving the capital closer to the center of their own territories, and thus the galaxy as a whole, would only embolden the Foundation to consider beginning campaigns into the territory of the powerful Interior provinces that once formed the core of the Galactic Empire, which would carry significant risk. To ensure a stable absorption, the Foundation could only accumulate these territories gradually over the next five centuries.
# This Seldon Crisis was not described. Following events occurring in ''Foundation's Edge'', there is a high likelihood neither the ninth or tenth Seldon Crisis occurred. Alternatively, given that Seldon was aware of Olivaw's plan for Galaxia, it is possible that the final two crises were actually dealing with it, or, with the inherent limits of psychohistory (i.e. war with extra-galactic aliens or transhumans).
# This Seldon Crisis was not described.
1,000 years after the creation of the Foundation, having survived 10 Seldon Crises, Seldon's Plan predicted that it would control and unify the entire galaxy, forming a Second Galactic Empire. According to the Second Foundation in ''Foundation's Edge'', who had maintained Seldon's original plan with revisions and corrective actions where necessary, the specific goal for this Second Empire was to make it a "Federated Empire" – with more power shared with the provinces so that the central government wouldn't become corrupt and decline as Trantor once had.
Asimov on psychohistory
On September 25, 1987, Asimov gave an interview to
Terry Gross on her
National Public Radio
National Public Radio (NPR, stylized in all lowercase) is an American privately and state funded nonprofit media organization headquartered in Washington, D.C., with its NPR West headquarters in Culver City, California. It differs from other n ...
program, ''
Fresh Air''.
In it, Gross asked him about psychohistory:
:Gross: "What did you have in mind when you coined the term and the concept?"
:Asimov: "Well, I wanted to write a short story about the fall of the Galactic Empire. I had just finished reading the ''
Decline and Fall of the Roman Empire''
orthe second time, and I thought I might as well adapt it on a much larger scale to the Galactic Empire and get a story out of it. And my editor
John Campbell was much taken with the idea, and said he didn't want it wasted on a short story. He wanted an open-ended series so it lasts forever, perhaps. And so I started doing that. In order to keep the story going from story to story, I was essentially writing future history, and I had to make it sufficiently different from modern history to give it that science fictional touch. And so I assumed that the time would come when there would be a science in which things could be predicted on a probabilistic or statistical basis."
:Gross: "Do you think that would be good if there really was such a science?"
:Asimov: "Well, I can't help but think it would be good, except that in my stories, I always have opposing views. In other words, people argue all possible... all possible... ways of looking at psychohistory and deciding whether it is good or bad. So you can't really tell. I happen to feel sort of on the optimistic side. I think if we can somehow get across some of the problems that face us now, humanity has a glorious future, and that if we could use the tenets of psychohistory to guide ourselves we might avoid a great many troubles. But on the other hand, it might create troubles. It's impossible to tell in advance."
In
''Gold: The Final Science Fiction Collection'' (which was published after his death) he writes about the origins of psychohistory:
Outside fiction
At the 67th science-fiction world convention in Montreal,
Paul Krugman
Paul Robin Krugman ( ; born February 28, 1953) is an American economist, who is Distinguished Professor of Economics at the Graduate Center of the City University of New York, and a columnist for ''The New York Times''. In 2008, Krugman was th ...
, the Nobel laureate in Economics, mentioned Hari Seldon, a central character in Foundation who was a psychohistorian, as his inspiration to study Economics since it is the closest thing to Psychohistory.
The 3 February 2017 issue of
Science
Science is a systematic endeavor that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
Science may be as old as the human species, and some of the earliest archeological evidence for ...
has a special section "Prediction and Its Limits". This section has articles on many mathematical techniques of predicting human behavior, and explicitly compares them to Asimov's psychohistory.
Literary influences
Some
literary critic
Literary criticism (or literary studies) is the study, evaluation, and interpretation of literature. Modern literary criticism is often influenced by literary theory, which is the philosophical discussion of literature's goals and methods. Th ...
s have described Asimov's psychohistory as a reformulation of
Karl Marx
Karl Heinrich Marx (; 5 May 1818 – 14 March 1883) was a German philosopher, economist, historian, sociologist, political theorist, journalist, critic of political economy, and socialist revolutionary. His best-known titles are the 1848 ...
's theory of history (
historical materialism
Historical materialism is the term used to describe Karl Marx's theory of history. Marx locates historical change in the rise of class societies and the way humans labor together to make their livelihoods. For Marx and his lifetime collaborat ...
), though Asimov denied any direct influence. Arguably, Asimov's psychohistory departs significantly from Marx's general theory of history based on modes of production (as distinct from Marx's model of the capitalist economy, where "natural laws" work themselves out with "iron necessity") in that psychohistory is predictive (if only in the sense of involving precisely stated probabilities), and in that psychohistory is extrapolated from individual psychology and even from physics. Psychohistory also has echoes of
modernization theory
Modernization theory is used to explain the process of modernization within societies. The "classical" theories of modernization of the 1950s and 1960s drew on sociological analyses of Karl Marx, Emile Durkheim and a partial reading of Max Weber, ...
and of work in the social sciences that by the 1960s would lead to attempts at large-scale social prediction and control such as
Project Camelot
Project Camelot was the code name of a counterinsurgency study begun by the United States Army in 1964. The full name of the project was Methods for Predicting and Influencing Social Change and Internal War Potential. The project was executed by t ...
.
See also
*
Cliodynamics
Cliodynamics () is a transdisciplinary area of research that integrates cultural evolution, economic history/cliometrics, macrosociology, the mathematical modeling of historical processes during the ''longue durée'', and the construction and analy ...
, the real area of research focused on mathematical modeling of historical dynamics
*
Cognitive science – the interdisciplinary study of the mind
*
Economic history
Economic history is the academic learning of economies or economic events of the past. Research is conducted using a combination of historical methods, statistical methods and the application of economic theory to historical situations and ins ...
, the real economics sub-field trying to discover long-run trends in human behaviour (the equations of the Prime Radiant)
*
Cosmic sociology, the study of theoretical interactions between cosmic civilizations
*
Game theory
Game theory is the study of mathematical models of strategic interactions among rational agents. Myerson, Roger B. (1991). ''Game Theory: Analysis of Conflict,'' Harvard University Press, p.&nbs1 Chapter-preview links, ppvii–xi It has appli ...
, application of probability models to analyze human (and other) interactions driven by strategic rationality (defined broadly), with the potential for predicting events
*
Lyapunov time
In mathematics, the Lyapunov time is the characteristic timescale on which a dynamical system is chaotic. It is named after the Russian mathematician Aleksandr Lyapunov. It is defined as the inverse of a system's largest Lyapunov exponent.
Use
T ...
, the time for a system to become unpredictable after observation
*
Macroeconomics
Macroeconomics (from the Greek prefix ''makro-'' meaning "large" + ''economics'') is a branch of economics dealing with performance, structure, behavior, and decision-making of an economy as a whole.
For example, using interest rates, taxes, and ...
, the real economics sub-field that considers
aggregate behavior
*
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
of sociology, the real sociology sub-field that applies statistical mathematics and other quantitative approaches such as
social network analysis to micro- and macro-social phenomena. (As opposed to ''mathematical sociology'' which studies the sociology of mathematicians, their research, their published journals, their departments of learning and teaching, etc.)
*
Operations research
Operations research ( en-GB, operational research) (U.S. Air Force Specialty Code: Operations Analysis), often shortened to the initialism OR, is a discipline that deals with the development and application of analytical methods to improve deci ...
*
Operational calculus – the real sub-field, area of mathematics
*
Praxeology, the study of human action
* Psychodynamics from
The Psychotechnic League
The Psychotechnic League is a future history created by American science fiction writer Poul Anderson. The name "Psychotechnic League" was invented by Sandra Miesel during the early 1980s, to capitalize on Anderson's better-known Polesotechnic Lea ...
*
Psychohistory
Psychohistory is an amalgam of psychology, history, and related social sciences and the humanities. Its proponents claim to examine the "why" of history, especially the difference between stated intention and actual behavior. Psychobiography, chil ...
, the real (non-fictional) study of the psychological motivation of groups in historical and current events
*
Quantitative psychology
Quantitative psychology is a field of scientific study that focuses on the mathematical modeling, research design and methodology, and statistical analysis of psychological processes. It includes tests and other devices for measuring cognitive ab ...
, the real psychology sub-field that applies statistical mathematics to psychology
*
Robopsychology Robopsychology is the study of the personalities and behavior of intelligent machines. The term was coined by Isaac Asimov in the short stories collected in ''I, Robot'', which featured robopsychologist Dr. Susan Calvin, and whose plots largely r ...
, the fictional study of the personalities of intelligent machines
* Societics, the fictional study of "the interaction of individuals in a culture, the interaction of the group generated by these individuals, the equations derived therefrom, and the application of these equations to control one or more factors of this same culture"
[
]
*
Survival analysis, a branch of statistics which deals with death in biological organisms and failure in mechanical systems. This topic is called reliability theory or reliability analysis in engineering, and duration analysis or duration modeling in economics or event history analysis in sociology.
Notes
References
*
{{DEFAULTSORT:Psychohistory (Fictional)
Fictional science
Foundation universe
Works about the future