In philosophy, systems theory, science, and art, emergence is the way complex systems and patterns arise out of a multiplicity of relatively simple interactions. Emergence is central to the theories of integrative levels and of complex systems.
The term "emergent" was coined by philosopher G. H. Lewes, who wrote:
"Every resultant is either a sum or a difference of the co-operant forces; their sum, when their directions are the same -- their difference, when their directions are contrary. Further, every resultant is clearly traceable in its components, because these are homogeneous and commensurable. It is otherwise with emergents, when, instead of adding measurable motion to measurable motion, or things of one kind to other individuals of their kind, there is a co-operation of things of unlike kinds. The emergent is unlike its components insofar as these are incommensurable, and it cannot be reduced to their sum or their difference."
Economist Jeffrey Goldstein provided a current definition of emergence in the journal Emergence. Goldstein initially defined emergence as: "the arising of novel and coherent structures, patterns and properties during the process of self-organization in complex systems".
Goldstein's definition can be further elaborated to describe the qualities of this definition in more detail:
"The common characteristics are: (1) radical novelty (features not previously observed in systems); (2) coherence or correlation (meaning integrated wholes that maintain themselves over some period of time); (3) A global or macro "level" (i.e. there is some property of "wholeness"); (4) it is the product of a dynamical process (it evolves); and (5) it is "ostensive" (it can be perceived). For good measure, Goldstein throws in supervenience -- downward causation."
Corning's description of emergence:
Rules, or laws, have no causal efficacy; they do not in fact “generate” anything. They serve merely to describe regularities and consistent relationships in nature. These patterns may be very illuminating and important, but the underlying causal agencies must be separately specified (though often they are not). But that aside, the game of chess illustrates precisely why any laws or rules of emergence and evolution are insufficient. Even in a chess game, you cannot use the rules to predict “history” — i.e., the course of any given game. Indeed, you cannot even reliably predict the next move in a chess game. Why? Because the “system” involves more than the rules of the game. It also includes the players and their unfolding, moment-by-moment decisions among a very large number of available options at each choice point. The game of chess is inescapably historical, even though it is also constrained and shaped by a set of rules, not to mention the laws of physics. Moreover, and this is a key point, the game of chess is also shaped by teleonomic, cybernetic, feedback-driven influences. It is not simply a self-ordered process; it involves an organized, “purposeful” activity. 
Strong and weak emergence 
The usage of the notion "emergence" may generally be subdivided into two perspectives, that of "weak emergence" and "strong emergence". Weak emergence is a type of emergence in which the emergent property is reducible to its individual constituents. This is opposed to strong emergence, in which the emergent property is irreducible to its individual constituents.
Weak emergence describes new properties arising in systems as a result of the interactions at an elemental level. Emergence, in this case, is merely part of the language, or model that is needed to describe a system's behaviour.
Strong emergence says that if systems can have qualities not directly traceable to the system's components, but rather to how those components interact, and one is willing to accept that a system supervenes on its components, then it is difficult to account for an emergent property's cause. These new qualities are irreducible to the system's constituent parts. (Laughlin 2005) The whole is greater than the sum of its parts. This view of emergence is called strong emergence. Strong emergence is a view not widely held in the physical sciences but proposed as a philosophical theory of etiology, epistemology and ontology.
However, "the debate about whether or not the whole can be predicted from the properties of the parts misses the point. Wholes produce unique combined effects, but many of these effects may be co-determined by the context and the interactions between the whole and its environment(s)." (Corning 2002) Along that same thought, Arthur Koestler stated, "it is the synergistic effects produced by wholes that are the very cause of the evolution of complexity in nature" and used the metaphor of Janus (a symbol of the unity underlying complements like open/shut, peace/war) to illustrate how the two perspectives (strong or holistic vs. weak or reductionistic) should be treated as perspectives, not exclusives, and should work together to address the issues of emergence. (Koestler 1969) Further,
"The ability to reduce everything to simple fundamental laws does not imply the ability to start from those laws and reconstruct the universe. The constructionist hypothesis breaks down when confronted with the twin difficulties of scale and complexity. At each level of complexity entirely new properties appear. Psychology is not applied biology, nor is biology applied chemistry. We can now see that the whole becomes not merely more, but very different from the sum of its parts." (Anderson 1972)
The plausibility of strong emergence is questioned by some as contravening our usual understanding of physics. Mark A. Bedau observes:
"Although strong emergence is logically possible, it is uncomfortably like magic. How does an irreducible but supervenient downward causal power arise, since by definition it cannot be due to the aggregation of the micro-level potentialities? Such causal powers would be quite unlike anything within our scientific ken. This not only indicates how they will discomfort reasonable forms of materialism. Their mysteriousness will only heighten the traditional worry that emergence entails illegitimately getting something from nothing."
One must make a distinction between a) macroscopic properties (e.g. superconductivity) which nobody has, as a matter of fact, been able to deduce from the microscopic equations and b) the idea that something macroscopic has features that are not even due to microscopic interactions. Laughlin belongs to a). In his book, he explains that for many particle systems, nothing can be calculated exactly from the microscopic equations, and that macroscopic systems are characterised by broken symmetry: the symmetry present in the microscopic equations is not present in the macroscopic system, due to phase transitions. As a result, these macroscopic systems are described in their own terminology, and have properties that do not depend on many microscopic details. This does not mean that the microscopic interactions are irrelevant, but simply that you do not see them anymore — you only see a renormalized effect of them. Laughlin is a pragmatic theoretical physicist: if you cannot, possibly ever, calculate the broken symmetry macroscopic properties from the microscopic equations, then what is the point of talking about reducibility?
Objective or subjective quality 
"Defining structure and detecting the emergence of complexity in nature are inherently subjective, though essential, scientific activities. Despite the difficulties, these problems can be analysed in terms of how model-building observers infer from measurements the computational capabilities embedded in non-linear processes. An observer’s notion of what is ordered, what is random, and what is complex in its environment depends directly on its computational resources: the amount of raw measurement data, of memory, and of time available for estimation and inference. The discovery of structure in an environment depends more critically and subtly, though, on how those resources are organized. The descriptive power of the observer’s chosen (or implicit) computational model class, for example, can be an overwhelming determinant in finding regularity in data."(Crutchfield 1994)
On the other hand, Peter Corning argues "Must the synergies be perceived/observed in order to qualify as emergent effects, as some theorists claim? Most emphatically not. The synergies associated with emergence are real and measurable, even if nobody is there to observe them." (Corning 2002) These are not necessarily incompatible, however, since while an observer is free to choose the definition of order that they wish to take, once it is chosen that definition applies objectively to any system independently of observation.
Emergence in philosophy, religion, art and human sciences 
In philosophy, emergence is often understood to be a much stronger claim about the etiology of a system's properties. An emergent property of a system, in this context, is one that is not a property of any component of that system, but is still a feature of the system as a whole. Nicolai Hartmann, one of the first modern philosophers to write on emergence, termed this categorial novum (new category).
In religion, emergence grounds expressions of religious naturalism in which a sense of the sacred is perceived in the workings of entirely naturalistic processes by which more complex forms arise or evolve from simpler forms. Examples are detailed in a 2006 essay titled 'The Sacred Emergence of Nature' by Ursula Goodenough and Terrence Deacon and a 2006 essay titled 'Beyond Reductionism: Reinventing the Sacred' by Stuart Kauffman.
In art, emergence is used to explore the origins of novelty, creativity, and authorship. Some art/literary theorists (Wheeler, 2006; Alexander, 2011) have proposed alternatives to postmodern understandings of "authorship" using the complexity sciences and emergence theory. They contend that artistic selfhood and meaning are emergent, relatively objective phenomena. The concept of emergence has also been applied to the theory of literature and art, history, linguistics, cognitive sciences, etc. by the teachings of Jean-Marie Grassin at the University of Limoges (v. esp.: J. Fontanille, B. Westphal, J. Vion-Dury, éds. L'Émergence—Poétique de l'Émergence, en réponse aux travaux de Jean-Marie Grassin, Bern, Berlin, etc., 2011; and: the article "Emergence" in the International Dictionary of Literary Terms (DITL).
In postcolonial studies, the term "Emerging Literature" refers to a contemporary body of texts that is gaining momentum in the global literary landscape (v. esp.: J.M. Grassin, ed. Emerging Literatures, Bern, Berlin, etc. : Peter Lang, 1996). By opposition, "emergent literature" is rather a concept used in the theory of literature.
Emergent properties and processes 
An emergent behavior or emergent property can appear when a number of simple entities (agents) operate in an environment, forming more complex behaviors as a collective. If emergence happens over disparate size scales, then the reason is usually a causal relation across different scales. In other words there is often a form of top-down feedback in systems with emergent properties. The processes from which emergent properties result may occur in either the observed or observing system, and can commonly be identified by their patterns of accumulating change, most generally called 'growth'. Why emergent behaviours occur include: intricate causal relations across different scales and feedback, known as interconnectivity. The emergent property itself may be either very predictable or unpredictable and unprecedented, and represent a new level of the system's evolution. The complex behaviour or properties are not a property of any single such entity, nor can they easily be predicted or deduced from behaviour in the lower-level entities, and might in fact be irreducible to such behavior. The shape and behaviour of a flock of birds  or school of fish are also good examples.
One reason why emergent behaviour is hard to predict is that the number of interactions between components of a system increases exponentially with the number of components, thus potentially allowing for many new and subtle types of behaviour to emerge.
On the other hand, merely having a large number of interactions is not enough by itself to guarantee emergent behaviour; many of the interactions may be negligible or irrelevant, or may cancel each other out. In some cases, a large number of interactions can in fact work against the emergence of interesting behaviour, by creating a lot of "noise" to drown out any emerging "signal"; the emergent behaviour may need to be temporarily isolated from other interactions before it reaches enough critical mass to be self-supporting. Thus it is not just the sheer number of connections between components which encourages emergence; it is also how these connections are organised. A hierarchical organisation is one example that can generate emergent behaviour (a bureaucracy may behave in a way quite different from that of the individual humans in that bureaucracy); but perhaps more interestingly, emergent behaviour can also arise from more decentralized organisational structures, such as a marketplace. In some cases, the system has to reach a combined threshold of diversity, organisation, and connectivity before emergent behaviour appears.
Unintended consequences and side effects are closely related to emergent properties. Luc Steels writes: "A component has a particular functionality but this is not recognizable as a subfunction of the global functionality. Instead a component implements a behaviour whose side effect contributes to the global functionality [...] Each behaviour has a side effect and the sum of the side effects gives the desired functionality" (Steels 1990). In other words, the global or macroscopic functionality of a system with "emergent functionality" is the sum of all "side effects", of all emergent properties and functionalities.
Systems with emergent properties or emergent structures may appear to defy entropic principles and the second law of thermodynamics, because they form and increase order despite the lack of command and central control. This is possible because open systems can extract information and order out of the environment.
Emergence helps to explain why the fallacy of division is a fallacy.
Emergent structures in nature 
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Emergent structures are patterns that emerge via collective actions of many individual entities. To explain such patterns, one might conclude, per Aristotle, that emergent structures are more than the sum of their parts on the assumption that the emergent order will not arise if the various parts simply interact independently of one another. However, there are those who disagree. According to this argument, the interaction of each part with its immediate surroundings causes a complex chain of processes that can lead to order in some form. In fact, some systems in nature are observed to exhibit emergence based upon the interactions of autonomous parts, and some others exhibit emergence that at least at present cannot be reduced in this way. See the discussion in this article of strong and weak emergence.
Emergent structures can be found in many natural phenomena, from the physical to the biological domain. For example, the shape of weather phenomena such as hurricanes are emergent structures. The development and growth of complex, orderly crystals, as driven by the random motion of water molecules within a conducive natural environment, is another example of an emergent process, where randomness can give rise to complex and deeply attractive, orderly structures.
However, crystalline structure and hurricanes are said to have a self-organizing phase.
It is useful to distinguish three forms of emergent structures. A first-order emergent structure occurs as a result of shape interactions (for example, hydrogen bonds in water molecules lead to surface tension). A second-order emergent structure involves shape interactions played out sequentially over time (for example, changing atmospheric conditions as a snowflake falls to the ground build upon and alter its form). Finally, a third-order emergent structure is a consequence of shape, time, and heritable instructions. For example, an organism's genetic code sets boundary conditions on the interaction of biological systems in space and time.
Non-living, physical systems 
In physics, emergence is used to describe a property, law, or phenomenon which occurs at macroscopic scales (in space or time) but not at microscopic scales, despite the fact that a macroscopic system can be viewed as a very large ensemble of microscopic systems.
An emergent property need not be more complicated than the underlying non-emergent properties which generate it. For instance, the laws of thermodynamics are remarkably simple, even if the laws which govern the interactions between component particles are complex. The term emergence in physics is thus used not to signify complexity, but rather to distinguish which laws and concepts apply to macroscopic scales, and which ones apply to microscopic scales.
Some examples include
- Classical mechanics: The laws of classical mechanics can be said to emerge as a limiting case from the rules of quantum mechanics applied to large enough masses. This may be puzzling, because quantum mechanics is generally thought of as more complicated than classical mechanics.
- Friction: Forces between elementary particles are conservative. However, friction emerges when considering more complex structures of matter, whose surfaces can convert mechanical energy into heat energy when rubbed against each other. Similar considerations apply to other emergent concepts in continuum mechanics such as viscosity, elasticity, tensile strength, etc.
- Patterned ground: the distinct, and often symmetrical geometric shapes formed by ground material in periglacial regions.
- Statistical mechanics was initially derived using the concept of a large enough ensemble that fluctuations about the most likely distribution can be all but ignored. However, small clusters do not exhibit sharp first order phase transitions such as melting, and at the boundary it is not possible to completely categorize the cluster as a liquid or solid, since these concepts are (without extra definitions) only applicable to macroscopic systems. Describing a system using statistical mechanics methods is much simpler than using a low-level atomistic approach.
Temperature is sometimes used as an example of an emergent macroscopic behaviour. In classical dynamics, a snapshot of the instantaneous momenta of a large number of particles at equilibrium is sufficient to find the average kinetic energy per degree of freedom which is proportional to the temperature. For a small number of particles the instantaneous momenta at a given time are not statistically sufficient to determine the temperature of the system. However, using the ergodic hypothesis, the temperature can still be obtained to arbitrary precision by further averaging the momenta over a long enough time.
Convection in a liquid or gas is another example of emergent macroscopic behaviour that makes sense only when considering differentials of temperature. Convection cells, particularly Bénard cells, are an example of a self-organizing system (more specifically, a dissipative system) whose structure is determined both by the constraints of the system and by random perturbations: the possible realizations of the shape and size of the cells depends on the temperature gradient as well as the nature of the fluid and shape of the container, but which configurations are actually realized is due to random perturbations (thus these systems exhibit a form of symmetry breaking).
In some theories of particle physics, even such basic structures as mass, space, and time are viewed as emergent phenomena, arising from more fundamental concepts such as the Higgs boson or strings. In some interpretations of quantum mechanics, the perception of a deterministic reality, in which all objects have a definite position, momentum, and so forth, is actually an emergent phenomenon, with the true state of matter being described instead by a wavefunction which need not have a single position or momentum. Most of the laws of physics themselves as we experience them today appear to have emerged during the course of time making emergence the most fundamental principle in the universe and raising the question of what might be the most fundamental law of physics from which all others emerged. Chemistry can in turn be viewed as an emergent property of the laws of physics. Biology (including biological evolution) can be viewed as an emergent property of the laws of chemistry. Finally, psychology could at least theoretically be understood as an emergent property of neurobiological laws.
Living, biological systems 
Emergence and evolution 
Life is a major source of complexity, and evolution is the major process behind the varying forms of life. In this view, evolution is the process describing the growth of complexity in the natural world and in speaking of the emergence of complex living beings and life-forms, this view refers therefore to processes of sudden changes in evolution.
Regarding causality in evolution Peter Corning observes:
"Synergistic effects of various kinds have played a major causal role in the evolutionary process generally and in the evolution of cooperation and complexity in particular... Natural selection is often portrayed as a “mechanism”, or is personified as a causal agency... In reality, the differential “selection” of a trait, or an adaptation, is a consequence of the functional effects it produces in relation to the survival and reproductive success of a given organism in a given environment. It is these functional effects that are ultimately responsible for the trans-generational continuities and changes in nature." (Corning 2002)
Per his definition of emergence, Corning also addresses emergence and evolution:
"[In] evolutionary processes, causation is iterative; effects are also causes. And this is equally true of the synergistic effects produced by emergent systems. In other words, emergence itself... has been the underlying cause of the evolution of emergent phenomena in biological evolution; it is the synergies produced by organized systems that are the key." (Corning 2002)
Swarming is a well-known behaviour in many animal species from marching locusts to schooling fish to flocking birds. Emergent structures are a common strategy found in many animal groups: colonies of ants, mounds built by termites, swarms of bees, shoals/schools of fish, flocks of birds, and herds/packs of mammals.
An example to consider in detail is an ant colony. The queen does not give direct orders and does not tell the ants what to do. Instead, each ant reacts to stimuli in the form of chemical scent from larvae, other ants, intruders, food and build up of waste, and leaves behind a chemical trail, which, in turn, provides a stimulus to other ants. Here each ant is an autonomous unit that reacts depending only on its local environment and the genetically encoded rules for its variety of ant. Despite the lack of centralized decision making, ant colonies exhibit complex behavior and have even been able to demonstrate the ability to solve geometric problems. For example, colonies routinely find the maximum distance from all colony entrances to dispose of dead bodies.
Organization of life 
A broader example of emergent properties in biology is viewed in the biological organisation of life, ranging from the subatomic level to the entire biosphere. For example, individual atoms can be combined to form molecules such as polypeptide chains, which in turn fold and refold to form proteins, which in turn create even more complex structures. These proteins, assuming their functional status from their spatial conformation, interact together and with other molecules to achieve higher biological functions and eventually create an organism. Another example is how cascade phenotype reactions, as detailed in chaos theory, arise from individual genes mutating respective positioning. At the highest level, all the biological communities in the world form the biosphere, where its human participants form societies, and the complex interactions of meta-social systems such as the stock market.
Emergence in humanity 
Spontaneous order 
Groups of human beings, left free to each regulate themselves, tend to produce spontaneous order, rather than the meaningless chaos often feared. This has been observed in society at least since Chuang Tzu in ancient China. A classic traffic roundabout is a good example, with cars moving in and out with such effective organization that some modern cities have begun replacing stoplights at problem intersections with traffic circles , and getting better results.
Emergent processes or behaviours can be seen in many places, such as traffic patterns, cities, political systems of governance, cabal and market-dominant minority phenomena in politics and economics, organizational phenomena in computer simulations and cellular automata. Whenever you have a multitude of individuals interacting with one another, there often comes a moment when disorder gives way to order and something new emerges: a pattern, a decision, a structure, or a change in direction (Miller 2010, 29).
The stock market (or any market for that matter) is an example of emergence on a grand scale. As a whole it precisely regulates the relative security prices of companies across the world, yet it has no leader; there is no one entity which controls the workings of the entire market. Agents, or investors, have knowledge of only a limited number of companies within their portfolio, and must follow the regulatory rules of the market and analyse the transactions individually or in large groupings. Trends and patterns emerge which are studied intensively by technical analysts.
Money, insofar as being a medium of exchange and of deferred payment, is also an example of an emergent phenomenon between market participators. In their strive to possess a commodity with greater marketability than their own commodity, such that the possession of these more marketable commodities (money) facilitate the search for commodities that participators want (e.g. consumables).
- Austrian school economist Carl Menger wrote in his work Principles of Economics, "As each economizing individual becomes increasingly more aware of his economic interest, he is led by this interest, without any agreement, without legislative compulsion, and even without regard to the public interest, to give his commodities in exchange for other, more saleable, commodities, even if he does not need them for any immediate consumption purpose. With economic progress, therefore, we can everywhere observe the phenomenon of a certain number of goods, especially those that are most easily saleable at a given time and place, becoming, under the powerful influence of custom, acceptable to everyone in trade, and thus capable of being given in exchange for any other commodity."
World Wide Web and the Internet 
The World Wide Web is a popular example of a decentralized system exhibiting emergent properties. There is no central organization rationing the number of links, yet the number of links pointing to each page follows a power law in which a few pages are linked to many times and most pages are seldom linked to. A related property of the network of links in the World Wide Web is that almost any pair of pages can be connected to each other through a relatively short chain of links. Although relatively well known now, this property was initially unexpected in an unregulated network. It is shared with many other types of networks called small-world networks.(Barabasi, Jeong, & Albert 1999, pp. 130–131)
Internet traffic can also exhibit some seemingly emergent properties. In the congestion control mechanism, TCP flows can become globally synchronized at bottlenecks, simultaneously increasing and then decreasing throughput in coordination. Congestion, widely regarded as a nuisance, is possibly an emergent property of the spreading of bottlenecks across a network in high traffic flows which can be considered as a phase transition (see review of related research in (Smith 2008, pp. 1–31)).
Another important example of emergence in web-based systems is social bookmarking (also called collaborative tagging). In social bookmarking systems, users assign tags to resources shared with other users, which gives rise to a type of information organisation that emerges from this crowdsourcing process. Recent research which analyzes empirically the complex dynamics of such systems has shown that consensus on stable distributions and a simple form of shared vocabularies does indeed emerge, even in the absence of a central controlled vocabulary. Some believe that this could be because users who contribute tags all use the same language, and they share similar semantic structures underlying the choice of words. The convergence in social tags may therefore be interpreted as the emergence of structures as people who have similar semantic interpretation collaboratively index online information, a process called semantic imitation. 
Wikipedia itself is an example of emergence.
Architecture and cities 
Emergent structures appear at many different levels of organization or as spontaneous order. Emergent self-organization appears frequently in cities where no planning or zoning entity predetermines the layout of the city. (Krugman 1996, pp. 9–29) The interdisciplinary study of emergent behaviors is not generally considered a homogeneous field, but divided across its application or problem domains.
Architects and Landscape Architects may not design all the pathways of a complex of buildings. Instead they might let usage patterns emerge and then place pavement where pathways have become worn in.
The on-course action and vehicle progression of the 2007 Urban Challenge could possibly be regarded as an example of cybernetic emergence. Patterns of road use, indeterministic obstacle clearance times, etc. will work together to form a complex emergent pattern that can not be deterministically planned in advance.
The architectural school of Christopher Alexander takes a deeper approach to emergence attempting to rewrite the process of urban growth itself in order to affect form, establishing a new methodology of planning and design tied to traditional practices, an Emergent Urbanism. Urban emergence has also been linked to theories of urban complexity (Batty 2005) and urban evolution (Marshall 2009).
Building ecology is a conceptual framework for understanding architecture and the built environment as the interface between the dynamically interdependent elements of buildings, their occupants, and the larger environment. Rather than viewing buildings as inanimate or static objects, building ecologist Hal Levin views them as interfaces or intersecting domains of living and non-living systems. The microbial ecology of the indoor environment is strongly dependent on the building materials, occupants, contents, environmental context and the indoor and outdoor climate. The strong relationship between atmospheric chemistry and indoor air quality and the chemical reactions occurring indoors. The chemicals may be nutrients, neutral or biocides for the microbial organisms. The microbes produce chemicals that affect the building materials and occupant health and well being. Humans manipulate the temperature and humidity to achieve comfort with the concomitant effects on the microbes that populate and evolve.
Eric Bonabeau's attempt to define emergent phenomena is through traffic: "traffic jams are actually very complicated and mysterious. On an individual level, each driver is trying to get somewhere and is following (or breaking) certain rules, some legal (the speed limit) and others societal or personal (slow down to let another driver change into your lane). But a traffic jam is a separate and distinct entity that emerges from those individual behaviors. Gridlock on a highway, for example, can travel backward for no apparent reason, even as the cars are moving forward." He has also likened emergent phenomena to the analysis of market trends and employee behavior.
Computational emergent phenomena have also been utilized in architectural design processes, for example for formal explorations and experiments in digital materiality.
Computer AI 
It has been argued that language, or at least language change, is an emergence phenomenon. While each speaker merely tries to reach her or his own communicative goals, she or he uses language in a particular way. If enough speakers behave in that way, language is changed (Keller 1994). In a wider sense, the norms of a language, i.e. the linguistic conventions of its speech society, can be seen as a system emerging from long-time participation in communicative problem-solving in various social circumstances. (Määttä 2000)
Emergent change processes 
Within the field of group facilitation and organization development, there have been a number of new group processes that are designed to maximize emergence and self-organization, by offering a minimal set of effective initial conditions. Examples of these processes include Appreciative Inquiry, Future Search, the World Cafe or Knowledge Cafe, Open Space Technology, and others. (Holman, 2010)
Emergence in political philosophy 
Economist and philosopher Friedrich Hayek wrote about emergence in the context of law, politics, and markets. His theories (Hayek 1973, p. 37) set out the difference between cosmos or "grown order" (that is, emergence), and taxis or "made order". Hayek dismisses philosophies that do not adequately recognize the emergent nature of society, and which describe it as the conscious creation of a rational agent (be it God, the Sovereign, or any kind of personified body politic, such as Hobbes's Leviathan). The most important social structures, including the laws ("nomos") governing the relations between individual persons, are emergent, according to Hayek. While the idea of laws and markets as emergent phenomena comes fairly naturally to an economist, and was indeed present in the works of early economists such as Bernard Mandeville, David Hume, and Adam Smith, Hayek traces the development of ideas based on spontaneous-order throughout the history of Western thought, occasionally going as far back as the presocratics. In this, he follows Karl Popper, who blamed the idea of the state as a made order on Plato in The Open Society and its Enemies. Emergentism is a rejection of the state on the grounds that it is a perversion of the emergent rules that societies form spontaneously. Some 19th-century classical liberals, notably Gustave de Molinari and Frédéric Bastiat, were known advocates of an emergent society and wrote about the concepts in detail. See The Production of Security and The Law, respectively.
See also 
- Agent-based model
- Anthropic principle
- Big History
- Chaos theory
- Complex systems
- Constructal theory
- Dynamical system
- Deus ex machina
- Emergent algorithm
- Emergent gameplay
- Emergent organization
- Flocking (behaviour)
- Free will
- Generative sciences
- Innovation butterfly
- Irreducible complexity
- Mass action
- Neural networks
- Society of Mind theory
- Swarm intelligence
- System of Systems
- Aristotle, Metaphysics, Book H 1045a 8-10: "... the totality is not, as it were, a mere heap, but the whole is something besides the parts ...", i.e., the whole is greater than the sum of the parts.
- "The chemical combination of two substances produces, as is well known, a third substance with properties different from those of either of the two substances separately, or of both of them taken together" (Mill 1843)
- Julian Huxley: "now and again there is a sudden rapid passage to a totally new and more comprehensive type of order or organization, with quite new emergent properties, and involving quite new methods of further evolution" (Huxley & Huxley 1947)
- (Lewes 1875, p. 412)
- (Blitz 1992)
- (Goldstein 1999)
- Corning, Peter A. (2002), "The Re-Emergence of "Emergence": A Venerable Concept in Search of a Theory", Complexity 7 (6): 18–30, doi:10.1002/cplx.10043
- (Bedau 1997)
- Wheeler, Wendy (2006). The Whole Creature: Complexity, Biosemiotics and the Evolution of Culture. London: Lawrence & Wishart. p. 192. ISBN 1-905007-30-2.
- Alexander, Victoria N. (2011). The Biologist's Mistress: Rethinking Self-Organization in Art, Literature, and Nature. Litchfield Park, AZ: Emergent Publications. ISBN 0-9842165-5-3.
- See, e.g., Korotayev, A.; Malkov, A.; Khaltourina, D. (2006), Introduction to Social Macrodynamics: Compact Macromodels of the World System Growth, Moscow: URSS, ISBN 5-484-00414-4
- Steven Weinberg. "A Designer Universe?". Retrieved 2008-07-14. "A version of the original quote from address at the Conference on Cosmic Design, American Association for the Advancement of Science, Washington, D.C. in April 1999"
- Steven Johnson. 2001. Emergence: The Connected Lives of Ants, Brains, Cities, and Software
- Campbell, Neil A., and Jane B. Reece. Biology. 6th ed. San Francisco: Benjamin Cummings, 2002.
- Miller, Peter. 2010. The Smart Swarm: How understanding flocks, schools, and colonies can make us better at communicating, decision making, and getting things done. New York: Avery.
- Carl Menger. "Principles of Economics". Retrieved 05/07/2012.
- Valentin Robu, Harry Halpin, Hana Shepherd Emergence of consensus and shared vocabularies in collaborative tagging systems, ACM Transactions on the Web (TWEB), Vol. 3(4), article 14, ACM Press, September 2009.
- Fu, Wai-Tat; Kannampallil, Thomas George; Kang, Ruogu (August 2009), "A Semantic Imitation Model of Social Tagging", Proceedings of the IEEE conference on Social Computing: 66–72, doi:10.1109/CSE.2009.382, ISBN 978-1-4244-5334-4
- Fu, Wai-Tat; Kannampallil, Thomas; Kang, Ruogu; He, Jibo (2010), "Semantic Imitation in Social Tagging", ACM Transactions on Computer-Human Interaction (TOCHI) 17 (3): 1, doi:10.1145/1806923.1806926
- Bonabeau E. Predicting the Unpredictable. Harvard Business Review [serial online]. March 2002;80(3):109-116. Available from: Business Source Complete, Ipswich, MA. Accessed February 1, 2012.
- Roudavski, Stanislav and Gwyllim Jahn (2012). 'Emergent Materiality though an Embedded Multi-Agent System', in 15th Generative Art Conference, ed. by Celestino Soddu (Lucca, Italy: Domus Argenia), pp. 348-363 
- Anderson, P.W. (1972), "More is Different: Broken Symmetry and the Nature of the Hierarchical Structure of Science", Science 177 (4047): 393–396, doi:10.1126/science.177.4047.393, PMID 17796623
- Bedau, Mark A. (1997), Weak Emergence
- Koestler, Arthur (1969), A. Koestler & J. R. Smythies, ed., Beyond Reductionism: New Perspectives in the Life Sciences, London: Hutchinson
- Laughlin, Robert (2005), A Different Universe: Reinventing Physics from the Bottom Down, Basic Books, ISBN 0-465-03828-X
Further reading 
- Anderson, P.W. (1972), "More is Different: Broken Symmetry and the Nature of the Hierarchical Structure of Science", Science 177 (4047): 393–396, Bibcode:1972Sci...177..393A, doi:10.1126/science.177.4047.393, PMID 17796623
- Barabási, Albert-László; Albert, Réka; Jeong, Hawoong (1999), "The Diameter of the World Wide Web", Nature 401 (6749): 130–131, arXiv:cond-mat/9907038, Bibcode:1999Natur.401..130A, doi:10.1038/43601 More than one of
- Bar-Yam, Yaneer (2004), "A Mathematical Theory of Strong Emergence using Multiscale Variety", Complexity 9 (6): 15–24, doi:10.1002/cplx.20029
- Bateson, Gregory (1972), Steps to an Ecology of Mind, Ballantine Books, ISBN 0-226-03905-6
- Batty, Michael (2005), Cities and Complexity, MIT Press, ISBN 0-262-52479-1
- Bedau, Mark A. (1997)."Weak Emergence".
- Blitz, David. (1992). Emergent Evolution: Qualitative Novelty and the Levels of Reality. Dordrecht: Kluwer Academic.
- Bunge, Mario Augusto (2003), Emergence and Convergence: Qualitiative Novelty and the Unity of Knowledge, Toronto: University of Toronto Press
- Chalmers, David J. (2002). "Strong and Weak Emergence" http://consc.net/papers/emergence.pdf Republished in P. Clayton and P. Davies, eds. (2006) The Re-Emergence of Emergence. Oxford: Oxford University Press.
- Philip Clayton (2005). Mind and Emergence: From Quantum to Consciousness Oxford: OUP, ISBN 978-0-19-927252-5
- Philip Clayton & Paul Davies (eds.) (2006). The Re-Emergence of Emergence: The Emergentist Hypothesis from Science to Religion Oxford: Oxford University Press.
- Crutchfield, James P. (1994), The Calculi of Emergence: Computation, Dynamics, and Induction, "Special issue on the Proceedings of the Oji International Seminar: Complex Systems — from Complex Dynamics to Artificial Reality", Physica D
- Felipe Cucker and Stephen Smale (2007), The Japanese Journal of Mathematics, The Mathematics of Emergence
- Delsemme, Armand (1998), Our Cosmic Origins: From the Big Bang to the Emergence of Life and Intelligence, Cambridge University Press
- De Wolf, Tom; Holvoet, Tom (2005), "Emergence Versus Self-Organisation: Different Concepts but Promising When Combined", Engineering Self Organising Systems: Methodologies and Applications, Lecture Notes in Computer Science: 3464, pp. 1–15
- Fromm, Jochen (2004), The Emergence of Complexity, Kassel University Press, ISBN 3-89958-069-9* Fromm, Jochen (2005a), Types and Forms of Emergence, arXiv, arXiv:nlin.AO/0506028
- Fromm, Jochen (2005b), Ten Questions about Emergence, arXiv, arXiv:nlin.AO/0509049
- Goodwin, Brian (2001), How the Leopard Changed Its Spots: The Evolution of Complexity, Princeton University Press
- Goldstein, Jeffrey (1999), "Emergence as a Construct: History and Issues", Emergence: Complexity and Organization 1 (1): 49–72
- Haag, James W. (2008). Emergent Freedom: Naturalizing Free Will Goettingen: Vandenhoeck & Ruprecht, ISBN 978-3-525-56988-7
- Hayek, Friedrich (1973), Law, Legislation and Liberty, ISBN 0-226-32086-3
- Hofstadter, Douglas R. (1979), Gödel, Escher, Bach: an Eternal Golden Braid, Harvester Press
- Holland, John H. (1998), Emergence from Chaos to Order, Oxford University Press, ISBN 0-7382-0142-1
- Holman, Peggy. (2010). Engaging Emergence: Turning upheaval into opportunity. San Francisco: Barrett-Koehler. ISBN 978-1-60509-521-9
- Hopfield, JJ (1982), "Neural networks and physical systems with emergent collective computational abilities", Proc. Natl. Acad. Sci. USA 79 (8): 2554–2558, Bibcode:1982PNAS...79.2554H, doi:10.1073/pnas.79.8.2554, PMC 346238, PMID 6953413
- Huxley, Julian S.; Huxley, Thomas Henry (1947), Evolution and Ethics: 1893-1943, London, 1947: The Pilot Press, p. 120
- Johnson, Steven Berlin (2001), Emergence: The Connected Lives of Ants, Brains, Cities, and Software, Scribner's, ISBN 0-684-86876-8
- Kauffman, Stuart (1993), The Origins of Order: Self-Organization and Selection in Evolution, Oxford University Press, ISBN 0-19-507951-5
- Keller, Rudi (1994), On Language Change: The Invisible Hand in Language, London/New York: Routledge, ISBN 0-415-07671-4
- Kauffman, Stuart (1995), At Home in the Universe, New York: Oxford University Press
- Kelly, Kevin (1994), Out of Control: The New Biology of Machines, Social Systems, and the Economic World, Perseus Books, ISBN 0-201-48340-8
- Koestler, Arthur (1969), A. Koestler & J. R. Smythies, ed., Beyond Reductionism: New Perspectives in the Life Sciences, London: Hutchinson
- Korotayev, A.; Malkov, A.; Khaltourina, D. (2006), Introduction to Social Macrodynamics: Compact Macromodels of the World System Growth, Moscow: URSS, ISBN 5-484-00414-4
- Krugman, Paul (1996), The Self-organizing Economy, Oxford: Blackwell, ISBN 1-55786-698-8 and 0-87609-177-X Check
- Laughlin, Robert (2005), A Different Universe: Reinventing Physics from the Bottom Down, Basic Books, ISBN 0-465-03828-X
- Leland, W.E.; Taqqu, M.S.; Willinger, W.; Wilson, D.V. (1994), "On the self-similar nature of Ethernet traffic (extended version)", IEEE/ACM Transactions on Networking 2: 1–15, doi:10.1109/90.282603 More than one of
- Lewes, G. H. (1875), Problems of Life and Mind (First Series) 2, London: Trübner, ISBN 1-4255-5578-0
- Lewin, Roger (2000), Complexity - Life at the Edge of Chaos (second ed.), University of Chicago Press, ISBN 0-226-47654-5 & ISBN 0-226-47655-3 Check
- Ignazio Licata & Ammar Sakaji (eds) (2008). Physics of Emergence and Organization, ISBN 978-981-277-994-6, World Scientific and Imperial College Press.
- Määttä, Urho (2000), "Mistä on pienet säännöt tehty?", Virittäjä 2: 203–221
- Marshall, Stephen (2009), Cities Design and Evolution, Routledge, ISBN 0-415-42329-5 & ISBN 978-0-415-42329-8 Check
- Mill, John Stuart (1843), "On the Composition of Causes", A System of Logic Ratiocinative and Inductive (1872 ed.), London: John W. Parker and Son, p. 371
- Morowitz, Harold J. (2002), The Emergence of Everything: How the World Became Complex, Oxford University Press, ISBN 0-19-513513-X
- Ryan, Alex J. (2006), "Emergence is Coupled to Scope, not Level", Complexity (arXiv), (to be submitted), arXiv:nlin.AO/0609011
- Schelling, Thomas C. (1978), Micromotives and Macrobehaviour, W. W. Norton
- Jackie (Jianhong) Shen (2008), Cucker–Smale Flocking Emergence under Hierarchical Leadership In: SIAM J. Applied Math., 68:3,
- Smith, John Maynard; Szathmáry, Eörs (1997), The Major Transitions in Evolution, Oxford University Press, ISBN 0-19-850294-X
- Smith, Reginald D. (2008), The Dynamics of Internet Traffic: Self-Similarity, Self-Organization, and Complex Phenomena 0807, arXiv, p. 3374, arXiv:0807.3374, Bibcode:2008arXiv0807.3374S More than one of
- Solé, Ricard and Goodwin, Brian (2000) Signs of life: how complexity pervades biology, Basic Books, New York.
- Steels, Luc (1990), "Towards a Theory of Emergent Functionality", in Jean-Arcady Meyer; Stewart W. Wilson, From Animals to Animats (Proceedings of the First International Conference on Simulation of Adaptive behaviour), Cambridge, MA & London, England: Bradford Books (MIT Press), pp. 451–461
- Wan, Poe Yu-ze (2011), "Emergence a la Systems Theory: Epistemological Totalausschluss or Ontological Novelty?", Philosophy of the Social Sciences, 41(2), pp. 178–210
- Wan, Poe Yu-ze (2011), Reframing the Social: Emergentist Systemism and Social Theory, Ashgate Publishing
- Weinstock, Michael (2010), The Architecture of Emergence - the evolution of form in Nature and Civilisation, John Wiley and Sons, ISBN 0-470-06633-4
- Wolfram, Stephen (2002), A New Kind of Science, ISBN 1-57955-008-8
- Young, Louise B. (2002), The Unfinished Universe, ISBN 0-19-508039-4
|Wikimedia Commons has media related to: Emergence|
- Emergent Properties entry in the Stanford Encyclopedia of Philosophy
- Emergence at PhilPapers
- Emergence at the Indiana Philosophy Ontology Project
- The Emergent Universe: An interactive introduction to emergent phenomena, from ant colonies to Alzheimer's.
- Exploring Emergence: An introduction to emergence using CA and Conway's Game of Life from the MIT Media Lab
- ISCE group: Institute for the Study of Coherence and Emergence.
- Towards modeling of emergence: lecture slides from Helsinki University of Technology
- Biomimetic Architecture - Emergence applied to building and construction
- Studies in Emergent Order: Studies in Emergent Order (SIEO) is an open-access journal