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Causality



 
 
Causality denotes a necessary relationship between one event (called cause) and another event (called effect
Result

A result is the final consequence of a sequence of actions or events expressed qualitatively or quantitatively, being an advantage, disadvantage, gain, injury, loss, value or simply victory....
) which is the direct consequence of the first.

While this informal understanding suffices in everyday use, the philosophical
Philosophy

Philosophy is the study of general problems concerning matters such as existence, knowledge, truth, beauty, justice, validity, mind, and language....
 analysis of how best to characterize causality extends over millennia. In the western philosophical tradition explicit discussion stretches back at least as far as Aristotle
Aristotle

Aristotle was a Greeks philosopher, a student of Plato and teacher of Alexander the Great. He wrote on many subjects, including physics, metaphysics, Poetics , theater, music, logic, rhetoric, politics, government, ethics, biology and zoology....
, and the topic remains a staple in contemporary philosophy journals.

Though cause and effect are typically related to event
Event

Event can refer to:* A phenomenon, any observable occurrence, or an extraordinary occurrenceA type of gathering:* A ceremony, for example, a marriage...
s, other candidates include process
Process

Process may refer to:Biology*Process , a projection or outgrowth of tissue from a larger body* Biological processScience and technnology*Process , a computer program or an instance of a program running concurrently with other programs...
es, properties
Property (philosophy)

In modern philosophy, mathematics, and logic, a property is an attribute of an Object ; thus a red object is said to have the property of redness....
, variable
Variable

A variable is a symbol that stands for a value that may vary; the term usually occurs in opposition to constant, which is a symbol for a non-varying value, i.e....
s, fact
Fact

A fact is something said to be true or supposed to have happened, example: Kiira is mean, FACT. An idea becomes a fact after competent people have tested a hypothesis through the scientific method....
s, and states of affairs
State of affairs

The state of affairs is that combination of circumstances applying within a society or group at a particular time. The current state of affairs may be considered acceptable by many observers, but not necessarily by all....
; which of these make up the correct causal relata, and how best to characterize the nature of the relationship between them, has as yet no universally accepted answer, and remains under discussion.

According to Sowa
John F. Sowa

John Florian Sowa is the computer scientist who invented conceptual graphs, a graphic notation for logic and natural language, based on the structures in semantic networks and on the existential graphs of Charles Peirce....
 (2000), up until the twentieth century, three assumptions described by Max Born
Max Born

Max Born was a Germany physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 30s....
 in 1949 were dominant in the definition of causality:
  1. "Causality postulates that there are laws by which the occurrence of an entity B of a certain class depends on the occurrence of an entity A of another class, where the word entity means any physical object, phenomenon
    Phenomenon

    A phenomenon is any observation occurrence. In popular usage, a phenomenon often refers to an extraordinary event. In physics, a phenomenon may be a feature of matter, energy, or spacetime....
    , situation, or event.






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    Encyclopedia


    Causality denotes a necessary relationship between one event (called cause) and another event (called effect
    Result

    A result is the final consequence of a sequence of actions or events expressed qualitatively or quantitatively, being an advantage, disadvantage, gain, injury, loss, value or simply victory....
    ) which is the direct consequence of the first.

    While this informal understanding suffices in everyday use, the philosophical
    Philosophy

    Philosophy is the study of general problems concerning matters such as existence, knowledge, truth, beauty, justice, validity, mind, and language....
     analysis of how best to characterize causality extends over millennia. In the western philosophical tradition explicit discussion stretches back at least as far as Aristotle
    Aristotle

    Aristotle was a Greeks philosopher, a student of Plato and teacher of Alexander the Great. He wrote on many subjects, including physics, metaphysics, Poetics , theater, music, logic, rhetoric, politics, government, ethics, biology and zoology....
    , and the topic remains a staple in contemporary philosophy journals.

    Though cause and effect are typically related to event
    Event

    Event can refer to:* A phenomenon, any observable occurrence, or an extraordinary occurrenceA type of gathering:* A ceremony, for example, a marriage...
    s, other candidates include process
    Process

    Process may refer to:Biology*Process , a projection or outgrowth of tissue from a larger body* Biological processScience and technnology*Process , a computer program or an instance of a program running concurrently with other programs...
    es, properties
    Property (philosophy)

    In modern philosophy, mathematics, and logic, a property is an attribute of an Object ; thus a red object is said to have the property of redness....
    , variable
    Variable

    A variable is a symbol that stands for a value that may vary; the term usually occurs in opposition to constant, which is a symbol for a non-varying value, i.e....
    s, fact
    Fact

    A fact is something said to be true or supposed to have happened, example: Kiira is mean, FACT. An idea becomes a fact after competent people have tested a hypothesis through the scientific method....
    s, and states of affairs
    State of affairs

    The state of affairs is that combination of circumstances applying within a society or group at a particular time. The current state of affairs may be considered acceptable by many observers, but not necessarily by all....
    ; which of these make up the correct causal relata, and how best to characterize the nature of the relationship between them, has as yet no universally accepted answer, and remains under discussion.

    According to Sowa
    John F. Sowa

    John Florian Sowa is the computer scientist who invented conceptual graphs, a graphic notation for logic and natural language, based on the structures in semantic networks and on the existential graphs of Charles Peirce....
     (2000), up until the twentieth century, three assumptions described by Max Born
    Max Born

    Max Born was a Germany physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 30s....
     in 1949 were dominant in the definition of causality:
    1. "Causality postulates that there are laws by which the occurrence of an entity B of a certain class depends on the occurrence of an entity A of another class, where the word entity means any physical object, phenomenon
      Phenomenon

      A phenomenon is any observation occurrence. In popular usage, a phenomenon often refers to an extraordinary event. In physics, a phenomenon may be a feature of matter, energy, or spacetime....
      , situation, or event. A is called the cause, B the effect.
    2. "Antecedence postulates that the cause must be prior to, or at least simultaneous with, the effect.
    3. "Contiguity
      Contiguity

      Contiguity is a series of things in continuous connection, a grouping of parts in contiguous physical contact. The concept was first set out in the Law of Contiguity, one of Aristotle's Laws of Association, which states that things which occur in proximity to each other in time or space are readily associated....
       postulates that cause and effect must be in spatial contact or connected by a chain of intermediate things in contact." (Born, 1949, as cited in Sowa, 2000)


    However, according to Sowa (2000), "relativity and quantum mechanics have forced physicists to abandon these assumptions as exact statements of what happens at the most fundamental levels, but they remain valid at the level of human experience."

    History


    Western philosophy


    Aristotle
    In his Posterior Analytics
    Posterior Analytics

    The '"Posterior Analytics"' is a text from Aristotle's Organon that deals with Demonstration , definition, and scientific knowledge. The demonstration is distinguished as a syllogism productive of scientific knowledge, while the definition marked as the statement of a thing's nature, ......
     and Metaphysics
    Metaphysics

    Metaphysics investigates principles of reality transcending those of any particular science. cosmology and ontology are traditional branches of metaphysics....
    , Aristotle wrote, "All causes are beginnings...", "... we have scientific knowledge when we know the cause...", and "... to know a thing's nature is to know the reason why it is..." This formulation set the guidelines for subsequent causal theories by specifying the number, nature, principles, elements, varieties, order of causes as well as the modes of causation. Aristotle's account of the causes of things is a comprehensive model.

    Aristotle's theory enumerates the possible causes which fall into several wide groups, amounting to the ways the question "why" may be answered; namely, by reference to the material worked upon (as by an artisan) or what might be called the substratum; to the essence, i.e., the pattern, the form, or the structure by reference to which the "matter" or "substratum" is to be worked; to the primary moving agent of change or the agent and its action; and to the goal, the plan, the end, or the good that the figurative artisan intended to obtain. As a result, the major kinds of causes come under the following divisions:
    • The material cause is that "raw material" from which a thing is produced as from its parts, constituents, substratum, or materials. This rubric limits the explanation of cause to the parts (the factors, elements, constituents, ingredients) forming the whole (the system, structure, compound, complex, composite, or combination) (the part-whole causation).
    • The formal cause tells us what, by analogy to the plans of an artisan, a thing is intended and planned to be. Any thing is thought to be determined by its definition, form (mold), pattern, essence, whole, synthesis, or archetype. This analysis embraces the account of causes in terms of fundamental principles or general laws, as the intended whole (macrostructure) is the cause that explains the production of its parts (the whole-part causation).
    • The efficient cause is not the external entity from which the change or the ending of the change first starts. It identifies 'what makes of what is made and what causes change of what is changed' and so suggests all sorts of agents, nonliving or living, acting as the sources of change or movement or rest. Representing the current understanding of causality as the relation of cause and effect, this analysis covers the modern definitions of "cause" as either the agent, agency, particular causal events, or the relevant causal states of affairs.
    • The final cause is that for the sake of which a thing exists, or is done - including both purposeful and instrumental actions. The final cause, or telos, is the purpose, or end, that something is supposed to serve; or it is that from which, and that to which, the change is. This analysis also covers modern ideas of mental causation involving such psychological causes as volition, need, motivation, or motives; rational, irrational, ethical - all that gives purpose to behavior.


    Additionally, things can be causes of one another, reciprocally causing each other, as hard work causes fitness, and vice versa - although not in the same way or by means of the same function: the one is as the beginning of change, the other is as its goal. (Thus Aristotle first suggested a reciprocal or circular causality - as a relation of mutual dependence, action, or influence of cause and effect.) Also; Aristotle indicated that the same thing can be the cause of contrary effects - as its presence and absence may result in different outcomes. In speaking thus he formulated what currently is ordinarily termed a "causal factor," e.g., atmospheric pressure as it affects chemical or physical reactions.

    Aristotle marked two modes of causation: proper (prior) causation and accidental (chance) causation. All causes, proper and incidental, can be spoken as potential or as actual, particular or generic. The same language refers to the effects of causes; so that generic effects assigned to generic causes, particular effects to particular causes, and operating causes to actual effects. It is also essential that ontological causality does not suggest the temporal relation of before and after - between the cause and the effect; that spontaneity (in nature) and chance (in the sphere of moral actions) are among the causes of effects belonging to the efficient causation, and that no incidental, spontaneous, or chance cause can be prior to a proper, real, or underlying cause per se.

    All investigations of causality coming later in history will consist in imposing a favorite hierarchy on the order (priority) of causes; such as "final > efficient > material > formal" (Aquinas), or in restricting all causality to the material and efficient causes or, to the efficient causality (deterministic or chance), or just to regular sequences and correlations of natural phenomena (the natural sciences describing how things happen rather than asking why they happen)..

    Causality, determinism, and existentialism
    Causality has taken many journeys in the minds of human beings for over 3000 years. Determinism and existentialism are but a few of the manifestations of this journey.

    The deterministic
    Determinism

    Determinism is the philosophy proposition that every event, including human cognition and behavior, decision and action, is causality determined by an unbroken chain of prior occurrences. With numerous historical debates, many varieties and philosophical positions on the subject of determinism exist from traditions throughout...
     world-view is one in which the universe
    Universe

    The universe is defined as everything that physically exists: the entirety of space and time, all forms of matter, energy and momentum, and the physical laws and physical constants that govern them....
     is no more than a chain of events
    Chain of events

    A chain of events is a number of action and their effects that are contiguous and linked together....
     following one after another according to the law of cause and effect. To hold this worldview
    World view

    A comprehensive world view is a term calqued from the German language word Weltanschauung Welt is the German word for "world", and Anschauung is the German word for "view" or "outlook." It is a concept fundamental to German philosophy and epistemology and refers to a wide world perception....
    , as an incompatibilist, there is no such thing as "free will
    Free will

    The question of free will is whether, and in what sense, rational agents exercise control over their actions and decisions. Addressing this question requires understanding the relationship between freedom and Causality, and determining whether the laws of nature are causally deterministic....
    ". However, compatibilists argue that determinism is compatible with, or even necessary for, free will.

    Existentialists have suggested that people have the courage to accept that while no meaning has been designed in the universe, we each can provide a meaning for ourselves.

    Though philosophers have pointed out the difficulties in establishing theories of the validity of causal relations, there is yet the plausible example of causation afforded daily which is our own ability to be the cause of events. This concept of causation does not prevent seeing ourselves as moral
    Moral

    A moral is a message conveyed or a lesson to be learned from a story or event. The moral may be left to the hearer, reader or viewer to determine for themselves, or may be explicitly encapsulated in a maxim....
     agents.

    Indian philosophy


    Theories of causality in Indian philosophy focus mainly on the relationship between cause and effect. The various philosophical schools (darsanas) provide different theories.

    The doctrine of satkaryavada affirms that the effect inheres in the cause in some way. The effect is thus either a real or apparent modification of the cause.

    The doctrine of asatkaryavada affirms that the effect does not inhere in the cause, but is a new arising.

    The Buddha, and subsequent Buddhist thinkers such as Nagarjuna
    Nagarjuna

    File:Nagarjuna at Samye Ling Monastery.JPGFile:Nagarjuna.JPGAcharya Nagarjuna was an Indian philosophy and the founder of the Madhyamaka school of Mahayana Buddhism....
    , rejected both, instead proposing a middle way
    Middle way

    In general, the Middle Way or Middle Path is the Buddhist practice of non-extremism.More specifically, in Theravada Buddhism's Pali Canon, the Middle Way crystallizes the Gautama Buddha's Nirvana-bound path of moderation away from the extremes of sensual indulgence and self-mortification and toward the practice of wisdom, morality an...
    .

    See Nyaya
    Nyaya

    is the name given to one of the six orthodox or astika schools of Hindu philosophy—specifically the school of logic. The Nyaya school of philosophical speculation is based on texts known as the Nyaya Sutras, which were written by Aksapada Gautama from around the 2nd century AD....
     for some details of the theory of causation in the Nyaya school.

    Logic


    Necessary and sufficient causes

    A similar concept occurs in logic, for this see Necessary and sufficient conditions
    Necessary and sufficient conditions

    In logic, the words necessity and sufficiency refer to the implicational relationships between Statement . The assertion that one statement is a necessary and sufficient condition of another means that the former statement is true if and only if the latter is true....


    Causes are often distinguished into two types: Necessary and sufficient.

    Necessary causes:

    If x is a necessary cause of y, then the presence of y necessarily implies the presence of x. The presence of x, however, does not imply that y will occur.

    Sufficient causes:

    If x is a sufficient cause of y, then the presence of x necessarily implies the presence of y. However, another cause z may alternatively cause y. Thus the presence of y does not imply the presence of x.

    J. L. Mackie
    J. L. Mackie

    John Leslie Mackie was an Australian philosophy, originally from Sydney. He is perhaps best known for his views on meta-ethics, especially his defence of moral skepticism....
     argues that usual talk of "cause", in fact, refers to INUS conditions (insufficient and non-redundant parts of unnecessary but sufficient causes). For example; consider the short circuit as a cause of the house burning down. Consider the collection of events, the short circuit, the proximity of flammable material, and the absence of firefighters. Considered together these are unnecessary but sufficient to the house's destruction (since many other collection of events certainly could have destroyed the house). Within this collection; the short circuit is an insufficient but non-redundant part (since the short circuit by itself would not cause the fire, but the fire will not happen without it with everything else being equal). So the short circuit is an INUS cause of the house burning down.

    Causality contrasted with conditionals

    Conditional
    Indicative conditional

    In natural languages, an indicative conditional is the logical operation given by statements of the form "If A then B". Unlike the material conditional, an indicative conditional does not have a stipulated definition....
     statements are not statements of causality. An important distinction is that statements of causality require the antecedent to precede the consequent in time, whereas conditional statements do not require this temporal order. Confusion commonly arises since many different statements in English may be presented using "If ..., then ..." form (and, arguably, because this form is far more commonly used to make a statement of causality). The two types of statements are distinct, however.

    For example, all of the following statements are true when interpreting "If ..., then ..." as the material conditional:
    1. If George Bush is president of the United States in 2004, then Germany is in Europe.
    2. If George Washington is president of the United States in 2004, then Germany is in Europe.
    3. If George Washington is president of the United States in 2004, then Germany is not in Europe.


    The first is true since both the antecedent
    Antecedent (logic)

    An antecedent is the first half of a hypothetical proposition.Examples:* If P, then Q.This is a nonlogical formulation of a hypothetical proposition....
     and the consequent
    Consequent

    A consequent is the second half of a hypothetical proposition. In the standard form of such a proposition, it is the part that follows "then"....
     are true. The second is true because the antecedent is false and the consequent is true. The third is true because both the antecedent and the consequent are false. These statements are trivial examples. Of course, although none of these statements expresses a causal connection between the antecedent and consequent, they are nonetheless all true because no statement has the combination of a true antecedent and false consequent. Logic requires only that truth not be deceptive.

    The ordinary indicative conditional
    Indicative conditional

    In natural languages, an indicative conditional is the logical operation given by statements of the form "If A then B". Unlike the material conditional, an indicative conditional does not have a stipulated definition....
     has somewhat more structure than the material conditional. For instance, although the first is the closest, none of the preceding three statements seems true as an ordinary indicative reading. But the sentence
    • If Shakespeare of Stratford-on-Avon did not write Macbeth, then someone else did.
    intuitively seems to be true, even though there is no straightforward causal relation in this hypothetical situation between Shakespeare's not writing Macbeth and someone else's actually writing it.

    Another sort of conditional, the counterfactual conditional
    Counterfactual conditional

    A counterfactual conditional, subjunctive conditional, or remote conditional, is a conditional sentence indicating what would be the case if its antecedent were true....
    , has a stronger connection with causality, yet even counterfactual statements are not all examples of causality. Consider the following two statements:
    1. If A were a triangle, then A would have three sides.
    2. If switch S were thrown, then bulb B would light.


    In the first case, it would not be correct to say that A's being a triangle caused it to have three sides, since the relationship between triangularity and three-sidedness is that of definition. The property of having three sides actually determines A's state as a triangle. Nonetheless, even when interpreted counterfactually, the first statement is true.

    A full grasp of the concept of conditionals is important to understanding the literature on causality. A crucial stumbling block is that conditionals in everyday English are usually loosely used to describe a general situation. For example, "If I drop my coffee, then my shoe gets wet" relates an infinite number of possible events. It is shorthand for "For any fact that would count as 'dropping my coffee', some fact that counts as 'my shoe gets wet' will be true". This general statement will be strictly false if there is any circumstance where I drop my coffee and my shoe doesn't get wet. However, an "If..., then..." statement in logic typically relates two specific events or facts -- a specific coffee-dropping did or did not occur, and a specific shoe-wetting did or did not follow. Thus, with explicit events in mind, if I drop my coffee and wet my shoe, then it is true that "If I dropped my coffee, then I wet my shoe", regardless of the fact that yesterday I dropped a coffee in the trash for the opposite effect --the conditional relates to specific facts. More counterintuitively, if I didn't drop my coffee at all, then it is also true that "If I drop my coffee then I wet my shoe", or "Dropping my coffee implies I wet my shoe", regardless of whether I wet my shoe or not by any means. This usage would not be counterintuitive if it were not for the everyday usage. Briefly, "If X then Y" is equivalent to the first-order logic statement "A implies B" or "not B-and-not-A", where A and B are predicates, but the more familiar usage of an "if A then B" statement would need to be written symbolically using a higher order logic using quantifiers ("for all" and "there exists").

    Theories


    Counterfactual theories

    The philosopher David Lewis notably suggested that all statements about causality can be understood as counterfactual
    Counterfactual

    Counterfactual may refer to:* Counterfactual conditional, a grammatical form * Counterfactual history* Alternate history, a literary genre* Counterfactual definiteness in quantum theory...
     statements. So, for instance, the statement that John's smoking caused his premature death is equivalent to saying that had John not smoked he would not have prematurely died. (In addition, it need also be true that John did smoke and did prematurely die, although this requirement is not unique to Lewis' theory.)

    Translating causal into counterfactual statements would only be beneficial if the latter were less problematic than the former. This is indeed the case, as is demonstrated by the structural account of counterfactual conditionals devised by the computer scientist Judea Pearl
    Judea Pearl

    Judea Pearl is a computer scientist and philosopher, best known for developing the probability approach to artificial intelligence, in particular through Bayesian networks , and for the formalization of causal reasoning ....
     (2000). This account provides clear semantics and effective algorithms for computing counterfactuals which, in contrast to Lewis' closest world semantics does not rely on the ambiguous notion of similarity among worlds. For instance, one can compute unambiguously the probability that John would be alive had he not smoked given that, in reality, John did smoke and did die. The quest for a counterfactual interpretation of causal statements is therefore justified.

    One problem Lewis' theory confronts is causal preemption. Suppose that John did smoke and did in fact die as a result of that smoking. However, there was a murderer who was bent on killing John, and would have killed him a second later had he not first died from smoking. Here we still want to say that smoking caused John's death. This presents a problem for Lewis' theory since, had John not smoked, he still would have died prematurely. Lewis himself discusses this example, and it has received substantial discussion (cf.). A structural solution to this problem has been given in [Halpern and Pearl, 2005].

    Probabilistic causation

    Interpreting causation as a deterministic
    Determinism

    Determinism is the philosophy proposition that every event, including human cognition and behavior, decision and action, is causality determined by an unbroken chain of prior occurrences. With numerous historical debates, many varieties and philosophical positions on the subject of determinism exist from traditions throughout...
     relation means that if A causes B, then A must always be followed by B. In this sense, war does not cause deaths, nor does smoking
    Tobacco smoking

    Tobacco smoking is the inhalation of smoke from burned dried or cured leaves of the tobacco plant, most often in the form of a cigarette. People may smoke casually for pleasure, habitually to satisfy an addiction to the nicotine present in tobacco and to the act of smoking, or in response to social pressure....
     cause cancer
    Cancer

    Cancer is a class of diseases in which a group of cell display uncontrolled growth , invasion , and sometimes metastasis . These three malignant properties of cancers differentiate them from benign tumors, which are self-limited, do not invade or metastasize....
    . As a result, many turn to a notion of probabilistic causation. Informally, A probabilistically causes B if As occurrence increases the probability of B. This is sometimes interpreted to reflect imperfect knowledge of a deterministic system but other times interpreted to mean that the causal system under study has an inherently chancy nature.

    Causal Calculus

    When experiments are infeasible or illegal, the derivation of cause effect relationship from observational studies must rest on some qualitative theoretical assumptions, for example, that symptoms do not cause diseases, usually expressed in the form of missing arrows in causal graphs such as Bayesian Networks or path diagrams. The mathematical theory underlying these derivations relies on the distinction between
    conditional probabilities, as in , and interventional probabilities, as in . The former reads: "the probability of finding cancer in a person known to smoke" while the latter reads: "the probability of finding cancer in a person forced to smoke". The former is a statistical notion that can be estimated directly in observational studies, while the latter is a causal notion (also called "causal effect") which is what we estimate in a controlled randomized experiment.

    The theory of "causal calculus" permits one to infer interventional probabilities from conditional probabilities in causal Bayesian Networks with unmeasured variables. One very practical result of this theory is the characterization of confounding variables, namely, a sufficient set of variables that, if adjusted for, would yield the correct causal effect between variables of interest. It can be shown that a sufficient set for estimating the causal effect of on is any set of non-descendants of that -separate from after removing all arrows emanating from . This criterion, called "backdoor", provides a mathematical definition of "confounding" and helps researchers identify accessible sets of variables worthy of measurement.

    Structure Learning

    While derivations in Causal Calculus rely on the structure of the causal graph, parts of the causal structure can, under certain assumptions, be learned from statistical data. The basic idea goes back to a recovery algorithm developed by Rebane and Pearl (1987) and rests on the distinction between the three possible types of causal substructures allowed in a directed acyclic graph
    Directed acyclic graph

    In computer science and mathematics, a directed acyclic graph, also called a DAG, is a with no ; that is, for any Vertex v, there is no nonempty directed path that starts and ends on v....
     (DAG):
    Type 1 and type 2 represent the same statistical dependencies (i.e., and are independent given ) and are, therefore, indistinguishable. Type 3, however, can be uniquely identified, since and are marginally independent and all other pairs are dependent. Thus, while the
    skeletons (the graphs stripped of arrows) of these three triplets are identical, the directionality of the arrows is partially identifiable. The same distinction applies when and have common ancestors, except that one must first condition on those ancestors. Algorithms have been developed to systematically determine the skeleton of the underlying graph and, then, orient all arrows whose directionality is dictated by the conditional independencies observed

    .

    Alternative methods of structure learning search through the
    many possible causal structures among the variable
    Variable

    A variable is a symbol that stands for a value that may vary; the term usually occurs in opposition to constant, which is a symbol for a non-varying value, i.e....
    s, and remove ones which are strongly incompatible with the observed correlation
    Correlation

    In probability theory and statistics, correlation indicates the strength and direction of a linear relationship between two random variables....
    s. In general this leaves a set of possible causal relations, which should then be tested by designing appropriate experiment
    Experiment

    In scientific inquiry, an experiment is a method of investigating causal relationships among variables. An experiment is a cornerstone of the empiricism approach to acquiring data about the world and is used in both natural sciences and social sciences....
    s. If experimental data is already available, the algorithm
    Algorithm

    In mathematics, computing, linguistics and related subjects, an algorithm is a sequence of finite instructions, often used for calculation and data processing....
    s can take advantage of that as well. In contrast with Bayesian Networks, path analysis and its generalization, structural equation modeling, serve better to estimate a known causal effect or test a causal model than to generate causal hypotheses.

    For nonexperimental data, causal direction can be hinted if information about time is available. This is because (according to many, though not all, theories) causes must precede their effects temporally. This can be set up by simple linear regression
    Simple linear regression

    A simple linear regression is a linear regression in which there is only one covariate . Simple linear regression is a form of multiple regression....
     models, for instance, with an analysis of covariance in which baseline and follow up values are known for a theorized cause and effect. The addition of time as a variable, though not proving causality, is a big help in supporting a pre-existing theory of causal direction. For instance, our degree of confidence in the direction and nature of causality is much greater when supported by data from a longitudinal study
    Longitudinal study

    A longitudinal study is a correlational research study that involves repeated observations of the same items over long periods of time — often many decades....
     than by data from a cross-sectional study
    Cross-sectional study

    Cross-sectional studies form a class of research methods that involve observation of some subset of a population of items all at the same time, in which, groups can be compared at different ages with respect of independent variables, such as IQ and memory....
    .

    Derivation theories

    The Nobel Prize holder Herbert Simon
    Herbert Simon

    Herbert Alexander Simon was an United States psychologist whose research ranged across the fields of cognitive psychology, computer science, public administration, economics, management, philosophy of science and sociology and was a professor, most notably, at Carnegie Mellon University....
     and Philosopher Nicholas Rescher
    Nicholas Rescher

    Nicholas Rescher is an United States philosophy, affiliated for many years with the University of Pittsburgh, where he is currently University Professor of Philosophy and Chairman of the Center for Philosophy of Science....
     claim that the asymmetry of the causal relation is unrelated to the asymmetry of any mode of implication that contraposes. Rather, a causal relation is not a relation between values of variables, but a function of one variable (the cause) on to another (the effect). So, given a system of equations, and a set of variables appearing in these equations, we can introduce an asymmetric relation among individual equations and variables that corresponds perfectly to our commonsense notion of a causal ordering. The system of equations must have certain properties, most importantly, if some values are chosen arbitrarily, the remaining values will be determined uniquely through a path of serial discovery that is perfectly causal. They postulate the inherent serialization of such a system of equations may correctly capture causation in all empirical fields, including physics and economics.

    Manipulation theories

    Some theorists have equated causality with manipulability. Under these theories,
    x causes y just in case one can change x in order to change y. This coincides with commonsense notions of causations, since often we ask causal questions in order to change some feature of the world. For instance, we are interested in knowing the causes of crime so that we might find ways of reducing it.

    These theories have been criticized on two primary grounds. First, theorists complain that these accounts are circular
    Circularity

    Circularity can mean:*Begging the question, i.e., circular logic*Circular definition*A circularity ratio as a compactness measure of a shape...
    . Attempting to reduce causal claims to manipulation requires that manipulation is more basic than causal interaction. But describing manipulations in non-causal terms has provided a substantial difficulty.

    The second criticism centers around concerns of anthropocentrism
    Anthropocentrism

    Anthropocentrism is the belief that humans must be considered at the center of, and above any other aspect of, reality. This concept is sometimes known as humanocentrism or human supremacy....
    . It seems to many people that causality is some existing relationship in the world that we can harness for our desires. If causality is identified with our manipulation, then this intuition is lost. In this sense, it makes humans overly central to interactions in the world.

    Some attempts to save manipulability theories are recent accounts that don't claim to reduce causality to manipulation. These accounts use manipulation as a sign or feature in causation without claiming that manipulation is more fundamental than causation.

    Process theories

    Some theorists are interested in distinguishing between causal processes and non-causal processes (Russell 1948; Salmon 1984). These theorists often want to distinguish between a process and a pseudo-process. As an example, a ball moving through the air (a process) is contrasted with the motion of a shadow (a pseudo-process). The former is causal in nature while the latter is not.

    Salmon (1984) claims that causal processes can be identified by their ability to transmit an alteration over space and time. An alteration of the ball (a mark by a pen, perhaps) is carried with it as the ball goes through the air. On the other hand an alteration of the shadow (insofar as it is possible) will not be transmitted by the shadow as it moves along.

    These theorists claim that the important concept for understanding causality is not causal relationships or causal interactions, but rather identifying causal processes. The former notions can then be defined in terms of causal processes.

    Fields


    Science

    Using the scientific method
    Scientific method

    Scientific method refers to techniques for investigating phenomenon, acquiring new knowledge, or correcting and integrating previous knowledge. To be termed scientific, a method of inquiry must be based on gathering observable, empirical and Measure evidence subject to specific principles of reasoning....
    , scientists set up experiment
    Experiment

    In scientific inquiry, an experiment is a method of investigating causal relationships among variables. An experiment is a cornerstone of the empiricism approach to acquiring data about the world and is used in both natural sciences and social sciences....
    s to determine causality in the physical world.

    In addition, many scientists in a variety of fields disagree that experiments are necessary to determine causality. For example, the link between smoking and lung cancer is considered proven by health agencies of the United States government, but experimental methods (for example, randomized controlled trials) were not used to establish that link. This view has been controversial. In addition, many philosophers are beginning to turn to more relativized notions of causality . Rather than providing a theory of causality in toto , they opt to provide a theory of causality in biology or causality in physics .

    Physics
    Physicists conclude that certain elemental forces: gravity, the strong
    Strong interaction

    In particle physics, the strong interaction, or strong force, or color force, holds quarks and gluons together to form protons, neutrons and other particles....
     and weak
    Weak interaction

    The weak interaction is one of the four fundamental interactions of nature. In the Standard Model of particle physics, it is due to the exchange of the heavy W and Z bosons....
     nuclear forces, and electromagnetism are said to be the four fundamental forces
    Fundamental interaction

    In physics, a fundamental interaction or fundamental force is a process by which elementary particles interact with each other. An interaction is often described as a field , and is mediated by the exchange of gauge bosons between particles....
     which are the causes of all other events in the universe. Causality is hard to interpret to ordinary language from many different physical theories. One problem is typified by the moon's gravity. It isn't accurate to say, "the moon exerts a gravitic pull and then the tides rise." In Newtonian mechanics gravity, rather, is a law expressing a constant observable relationship among masses, and the movement of the tides is an example of that relationship. There are no discrete events or "pulls" that can be said to precede the rising of tides. Interpreting gravity causally is even more complicated in general relativity
    General relativity

    General relativity or the general theory of relativity is the Geometry Theoretical physics of gravitation published by Albert Einstein in 1916....
    . Another important implication of Causality in physics is its intimate connection to the Second Law of Thermodynamics
    Second law of thermodynamics

    The second law of thermodynamics is an expression of the universal law of increasing entropy, stating that the entropy of an isolated system which is not in Thermodynamic equilibrium will tend to increase over time, approaching a maximum value at equilibrium....
     (
    see the fluctuation theorem
    Fluctuation theorem

    The fluctuation theorem is a theorem from statistical mechanics dealing with the relative probability that the entropy of a system which is currently away from thermodynamic equilibrium will increase or decrease over a given amount of time....
    ). Quantum mechanics
    Quantum mechanics

    Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
     is yet another branch of physics in which the nature of causality is somewhat unclear.

    The treatment of the concept of causality within the Second Law of Thermodynamics yields a loss in the translation. The statistical basis of the maintenance of the exchange of entropy
    Entropy

    In many branches of science, entropy is a measure of the disorder of a system. The concept of entropy is particularly notable as it is applied across physics, information theory and mathematics....
     confines the subject to an extent such that the observer loses perspective. The 2nd Law states that "in an isolated system, entropy cannot decrease". This is a corollary of the concept that an effect cannot be greater than the cause.

    Engineering
    A causal system
    Causal system

    A causal system is a system where the output at some specific instant only depends on the input for values of less than or equal to . Therefore these kinds of systems have outputs and internal states that depend only on the current and previous input values....
     is a system
    System

    System is a set of interacting or interdependent entities, real or abstract, forming an integrated whole.The concept of an "integrated whole" can also be stated in terms of a system embodying a set of relationships which are differentiated from relationships of the set to other elements, and from relationships between an element of the se...
     with output and internal states that depends only on the current and previous input values. A system that has
    some dependence on input values from the future (in addition to possible past or current input values) is termed an
    acausal system, and a system that depends solely on future input values is an anticausal system
    Anticausal system

    An anticausal system is a hypothetical system with outputs and internal states that depend solely on future input values. Some textbooks and published research literature might define an anticausal system to be one that does not depend on past input values ....
    . Acausal filters, for example, can only exist as digital filter
    Digital filter

    In electronics, computer science and mathematics, a digital filter is a system that performs mathematical operations on a Sampling , discrete-time Signal to reduce or enhance certain aspects of that signal....
    s, because these filters can extract future values from a memory buffer or a file.

    Biology and medicine

    A. B. Hill built upon the work of Hume
    David Hume

    David Hume was a Scotland philosopher, economist, historian and a key figure in the history of Western philosophy and the Scottish Enlightenment....
     and Popper
    Karl Popper

    Knight Bachelor Karl Raimund Popper Order of the Companions of Honour, Fellow of the Royal Society, Fellow of the British Academy was an Austrian and British philosopher and a professor at the London School of Economics....
     and suggested that the following aspects of an association be considered in attempting to distinguish causal from noncausal associations: 1) strength, 2) consistency, 3) specificity, 4) temporality, 5) biological gradient, 6) plausibility, 7) coherence, 8) experimental evidence, and 9) analogy.

    Psychology
    The above theories are attempts to define a reflectively stable
    Reflective equilibrium

    Reflective equilibrium is a state of balance or coherence among a set of beliefs arrived at by a process of deliberative mutual adjustment among general principles and particular judgments....
     notion of causality. This process uses our standard causal intuitions to develop a theory that we would find satisfactory in identifying causes. Another avenue of research is to empirically investigate how people (and non-human animals) learn and reason about causal relations in the world. This approach is taken by work in psychology
    Psychology

    Psychology is an academic and applied science discipline involving the science study of human mental functions and behavior. Occasionally it also relies on symbolic hermeneutics and critical theory, although these traditions are less pronounced than in other social sciences such as sociology....
    . It also is possible to tackle causalities in surveys with a technique of elaboration. Given a relationship between two variables, what can be learned by introducing a third variable into the analysis (Rosenberg, 1968, xiii)? So elaboration is a device of the analysis that results in different kinds of relationships between variables e.g. suppression, extraneous, and distorter relations.

    Attribution
    Attribution theory
    Attribution theory

    Attribution theory is a social psychology theory developed by Fritz Heider, Harold Kelley, Edward E. Jones, and Lee Ross.The theory is concerned with the ways in which people explain the behavior of others or themselves with something else....
     is the theory
    Theory

    For a more detailed account of theories as expressed in formal language as they are studied in mathematical logic see Theory A theory, in the general sense of the word, is an analytic structure designed to explain a set of observations....
     concerning how people explain individual occurrences of causation. Attribution
    Attribution (psychology)

    Attribution is a concept in social psychology referring to how individuals explain causes of events, other's behavior, and their own behavior....
     can be external (assigning causality to an outside agent or force - claiming that some outside thing motivated the event) or internal (assigning causality to factors within the person - taking personal responsibility
    Moral responsibility

    Moral responsibility can refer to two different but related things. First, a person has 'moral responsibility' for a situation if that person has an obligation to ensure that something happens....
     or accountability
    Accountability

    Accountability is a concept in ethics with several meanings. It is often used synonymously with such concepts as Social responsibility, answerability, enforcement, blameworthiness, liability and other terms associated with the expectation of account-giving....
     for one's actions and claiming that the person was directly responsible for the event). Taking causation one step further, the type of attribution a person provides influences their future behavior.


    The intention behind the cause or the effect can be covered by the subject of action (philosophy)
    Action (philosophy)

    In philosophy, action has developed into a sub-field called philosophy of action. Action is what an Agency can do.For example, throwing a ball is an instance of action; it involves an intention, a goal, and a bodily movement guided by the agent....
    . See also accident
    Accident

    An accident is a specific, identifiable, unexpected, unusual and unintended external action which occurs in a particular time and place, without apparent or deliberate cause but with marked effects....
    ; blame
    Blame

    Blame, like praise, is closely connected with the concept of moral responsibility for an action, omission, or a trait of character. When someone is morally Responsibility for doing something wrong we say that his or her action is blameworthy....
    ; intent
    Intent

    Intent in law is the planning and desire to perform an Criminal act, to fail to do so or to achieve a state of affairs in psychological view it may mean a different thing....
    ; and responsibility
    Responsibility

    Responsibility may refer to:* Responsibility assumption, in spirituality and personal growth* Cabinet collective responsibility, a constitutional convention in governments using the Westminster System...
    .

    Causal powers
    Whereas David Hume
    David Hume

    David Hume was a Scotland philosopher, economist, historian and a key figure in the history of Western philosophy and the Scottish Enlightenment....
     argued that causes are inferred from non-causal observations, Immanuel Kant
    Immanuel Kant

    Immanuel Kant was an 18th-century German Philosophy from the Kingdom of Prussia city of K?nigsberg . He is regarded as one of the most influential thinkers of modern Europe and of the late Age of Enlightenment....
     claimed that people have innate assumptions about causes. Within psychology, Patricia Cheng
    Patricia Cheng

    Patricia W. Cheng is a leading researcher in cognitive psychology who works on human reasoning. She is best known for her psychological work on human understanding of causality....
     (1997) attempted to reconcile the Humean and Kantian views. According to her power PC theory, people filter observations of events through a basic belief that causes have the power to generate (or prevent) their effects, thereby inferring specific cause-effect relations. The theory assumes probabilistic causation. Pearl (2000) has shown that Cheng's causal power
    can be given a counterfactual interpretation, (i.e., the probability that, absent and , would be true if were true) and is computable therefore using structural models. Within a Bayesian framework, the power PC theory can be interpreted as a noisy-OR function used to compute likelihoods (Griffiths & Tenenbaum, 2005)

    Causation and salience
    Our view of causation depends on what we consider to be the relevant events. Another way to view the statement, "Lightning causes thunder" is to see both lightning and thunder as two perceptions of the same event, viz., an electric discharge that we perceive first visually and then aurally.


    Naming and causality
    While the names we give objects often refer to their appearance, they can also refer to an object's causal powers - what that object can do, the effects it has on other objects or people. David Sobel and Alison Gopnik from the Psychology Department of UC Berkeley designed a device known as the blicket detector which suggests that "when causal property and perceptual features are equally evident, children are equally as likely to use causal powers as they are to use perceptual properties when naming objects".
    According to Jacques Lacan (seminar X, "L'Angoisse", 1962-63, ch. XVI), the cause is the shadow of the blind spot in our knowledge. Its secret must be searched in anxiety (angoisse), and in the function of the object. Every time we consider something that is brought into the field of knowledge, desire is present, and the function of the cause makes its appearance. Desire is always to desire the body, the body of the other. The cause is related to the body. Lacan stresses the importance of the Bible, the Jewish Bible, because it is there very clearly, we pay the debt with our body, with parts of the body. Lacan says ti semitic feelings may be based in the fact that Jewish tradition forces us to see the importance of the debt and its relation with the body.Shylock is the presence of this structure: to pay with our flesh. And the function of the cause is in direct relationship with it.

    Humanities


    History
    In the discussion of history, events are often considered as if in some way being agents that can then bring about other historical events. Thus, the combination of poor harvests, the hardships of the peasants, high taxes, lack of representation of the people, and kingly ineptitude are among the
    causes of the French Revolution
    French Revolution

    The French Revolution was a period of political and social upheaval and radical change in the history of France, during which the French governmental structure, previously an absolute monarchy with feudalism for the aristocracy and Roman Catholic Church clergy, underwent radical change to forms based on Age of Enlightenment principles of cit...
    . This is a somewhat Plato
    Plato

    Plato , was a Classical Greece Greeks philosopher, mathematician, writer of philosophical dialogues, and founder of the Platonic Academy in Ancient Athens, the first institution of higher learning in the western world....
    nic and Hegelian
    Georg Wilhelm Friedrich Hegel

    Georg Wilhelm Friedrich Hegel was a German people philosopher, and with Johann Gottlieb Fichte and Friedrich Wilhelm Joseph Schelling, one of the creators of German idealism....
     view that reifies
    Reification

    Reification may refer to:*Reification , making a data model for a previously abstract concept*Reification , fallacy of treating an abstraction as if it were a real thing...
     causes as ontological entities
    Ontology

    Ontology in philosophy is the study of the nature of being, existence or reality in general, as well as of the basic category of being and their relations....
    . In Aristotelian terminology, this use approximates to the case of the
    efficient cause.

    Law
    Main article: causation (law)
    Causation (law)

    Causation is the "causal relationship between conduct and result." That is to say that causation provides a means of connecting conduct, complete with actus reus, with the resulting harm or result element....
    According to law
    LAW

    LAW may refer to:* Anti-tank warfare, e.g. the US Army M72 LAW or the British Army LAW 80*Palestinian Society for the Protection of Human Rights ...
     and jurisprudence
    Jurisprudence

    Jurisprudence is the theory and philosophy of law. Scholars of jurisprudence, or legal philosophers, hope to obtain a deeper understanding of the nature of law, of legal reasoning, legal systems and of legal institutions....
    ,
    legal cause must be demonstrated in order to hold a defendant
    Defendant

    A defendant or defender is any party who is required to answer the complaint of a plaintiff or pursuer in a civil lawsuit before a court, or any party who has been formally indictment or accused of violating a crime statute....
     liable for a crime
    Crime

    Societies define Crime as the breach of one or more rules or laws for which some Government or force may ultimately prescribe a punishment.The word crime originates from the Latin crimen , from the Latin root cerno and Greek ????? = "I judge"....
     or a tort
    Tort

    Tort law is the name given to a body of law that addresses, and provides remedies for, civil wrongs not arising out of contractual obligations. A person who suffers legal damages may be able to use tort law to receive compensation from someone who is liability, or "liable," for those injuries....
     (ie. a civil wrong such as negligence or trespass). It must be proven that causality, or a 'sufficient causal link' relates the defendant's actions to the criminal event or damage in question.

    Religion and theology

    Cosmological argument
    One of the classic arguments for the existence of God is known as the "Cosmological argument
    Cosmological argument

    The cosmological argument is an argument for the existence of a First Cause to the universe, and by extension is often used as an argument for the existence of God....
    " or "First cause" argument. It works from the premise that every natural event is the effect of a cause. If this is so, then the events that caused today's events must have had causes themselves, which must have had causes, and so forth. If the chain never ends, then one must uphold the hypothesis of an "actual infinite", which is often regarded as problematic, see Hilbert's paradox of the Grand Hotel
    Hilbert's paradox of the Grand Hotel

    Hilbert's paradox of the Grand Hotel is a mathematical paradox about infinite sets presented by German mathematician David Hilbert ....
    . If the chain does end, it must end with a non-natural or supernatural cause at the start of the natural world -- e.g. a creation by God.


    As F.R. John Laux, M.A. puts it,
    "In our experience every event (effect) is determined by a cause. That cause is in its turn determined by another cause. But we cannot assume an infinite series of causes, because an infinite series with no beginning involves a contradiction. And even if we did suppose the possibility of an infinite series, that would not explain how causation began. Hence there must be an uncaused Cause, the ultimate Cause of all the events which proceed from it. This ultimate and supreme Cause we call God."


    Sometimes the argument is made in non-temporal
    Eternity

    While in the popular mind, eternity often simply means existing for a limitless amount of time, many have used it to refer to a timeless existence altogether outside of time....
     terms. The chain doesn't go back in time, it goes downward into the ever-more enduring facts, and thus toward the timeless
    Eternity

    While in the popular mind, eternity often simply means existing for a limitless amount of time, many have used it to refer to a timeless existence altogether outside of time....
    .

    Two questions that can help to focus the argument are:
    1. What is an event without cause?
    2. How does an event without a cause occur?


    Critics of this argument point out problems
    Cosmological argument

    The cosmological argument is an argument for the existence of a First Cause to the universe, and by extension is often used as an argument for the existence of God....
     with it. The Big Bang theory states that it is the point in which all dimensions came into existence, the start of both space and time. Then, the question "What was there before the Universe?" makes no sense; the concept of "before" becomes meaningless when considering a situation without time, and thus the concepts of cause and effect so necessary to the cosmological argument no longer apply. This has been put forward by Stephen Hawking, who said that asking what occurred before the Big Bang is like asking what is north of the North Pole. However, some cosmologists and physicists do attempt to investigate what could have occurred before the Big Bang, using such scenarios as the collision of branes to give a cause for the Big Bang.

    A question related to this argument is which came first, the chicken or the egg?

    Karma
    Karma
    Karma

    Karma is the concept of "action" or "deed" in Indian religions understood as that which causes the entire cycle of causality originating in ancient India and treated in Hindu, Jain, Sikh and Buddhism philosophies....
     is the belief held by some major religions that a person's actions cause certain effects in the current life and/or in future life
    Reincarnation

    Reincarnation, literally "to be made flesh again", is a doctrine or Metaphysics belief that some essential part of a living being survives death to be reborn in a new body....
    , positively or negatively.


    For example, if a person always does good deeds then it is believed that he or she will be "rewarded" for his or her behavior with fortunate events such as avoiding fatal accident or winning the lottery. If he or she always commits antagonistic behaviors, then it is believed that he will be punished with unfortunate events.

    According to Buddhism, inequality amongst living beings is due not only to heredity, environment, "nature and nurture", but also to Karma. In other words, it is the result of our own past actions and our own present doings. We ourselves are responsible for our own happiness and misery. We create our own Heaven. We create our own Hell. We are the architects of our own fate.

    Perplexed by the seemingly inexplicable, apparent disparity that existed among humanity, a young truth-seeker approached the Buddha and questioned him regarding this intricate problem of inequality:

    "What is the cause, what is the reason, O Lord," questioned he, "that we find amongst mankind the short-lived and long-lived, the healthy and the diseased, the ugly and beautiful, those lacking influence and the powerful, the poor and the rich, the low-born and the high-born, and the ignorant and the wise?"

    The Buddha’s reply was:

    "All living beings have actions (Karma) as their own, their inheritance, their congenital cause, their kinsman, their refuge. It is Karma that differentiates beings into low and high states."

    He then explained the cause of such differences in accordance with the law of cause and effect.

    Reverse causality
    Destiny
    Destiny

    Destiny refers to a predetermined course of events. It may be conceived as a Predeterminism future, whether in general or of an individual. It is a concept based on the belief that there is a fixed natural order to the universe....
     might be considered reverse causality in that a
    cause is predated by an effect; e.g., "I found a twenty dollar bill on the ground because later I would need it."


    Some modern religious movements
    New religious movement

    New religious movement is a term used to refer to a Religion faith or an ethical, spiritual, or philosophical movement of recent origin that is not part of an established Religious denomination, church, or religious body....
     have postulated along the lines of philosophical idealism
    Idealism

    Idealism is the philosophical theory which maintains that the ultimate nature of reality is based on mind or ideas. It holds that the so-called external or "real world" is inseparable from mind, consciousness, or perception....
     that causality
    is actually reversed from the direction normally presumed, and that causality does not proceed inward, from external random causes toward effects on a perceiving individual, but rather outward, from a perceiving individual's causative mental requests toward responsive external physical effects that only seem to be independent causes. Such thought gives rise to new causality principles such as the doctrine of responsibility assumption
    Responsibility assumption

    Responsibility assumption is a doctrine in the personal growth field holding that each individual has substantial or total Moral responsibility for the events and circumstances that befall them in their personal life....
    .

    See also

    Statistics:
    • Condition of possibility
      Condition of possibility

      Condition of possibility is a philosophical concept made popular by Immanuel Kant.A condition of possibility is a necessary framework for the possible appearance of a given list of entities....
    • Correlation does not imply causation
    • Causal loop diagram
      Causal loop diagram

      A causal loop diagram is a diagram that aids in visualizing how interrelated variables affect one another. The diagram consists of a set of Node representing the variables connected together....
    • Causal Markov condition
      Causal Markov condition

      The Markov condition for a Bayesian network states that any node in a Bayesian network is conditionally independent of its nondescendents, given its parents....
    • Experimental design
    • Randomness
      Randomness

      Randomness is a lack of order, purpose, Causality, or predictability. Randomness as defined by Aristotle is the situation, when a choice is to be made which has no logical component by which to determine or make the choice ....
    • Rubin Causal Model
      Rubin Causal Model

      The Rubin Causal Model is an approach to the statistical analysis of Causality based on the framework of potential outcomes. RCM is named after its originator, Donald Rubin, Professor of Statistics at Harvard University....


    Physics:
    • Anthropic principle
      Anthropic principle

      In physics and cosmology, the anthropic principle is the collective name for several ways of asserting that physical and chemistry theories, especially astrophysics and cosmology, need to take into account that there is life on Earth, and that one form of that life, Homo sapiens, has attained sapience....
    • Butterfly effect
      Butterfly effect

      The butterfly effect is a phrase that encapsulates the more technical notion of sensitive dependence on initial conditions in chaos theory....
    • Causal filter
      Causal filter

      In signal processing, a causal filter is a LTI system theory causal system. The word causal indicates that the filter output depends only on past and present inputs....
    • Causal system
      Causal system

      A causal system is a system where the output at some specific instant only depends on the input for values of less than or equal to . Therefore these kinds of systems have outputs and internal states that depend only on the current and previous input values....
    • Causality conditions
      Causality conditions

      In the study of Lorentzian manifold spacetimes there exists a hierarchy of causality conditions which are important in proving mathematical theorems about the global structure of such manifolds....
    • Chain reaction
      Chain reaction

      A chain reaction is a sequence of reactions where a reactive product or by-product causes additional reactions to take place. In a chain reaction, positive feedback leads to a self-amplifying chain of events....
    • Grandfather paradox
      Grandfather paradox

      The grandfather paradox is a proposed physical paradox of time travel, first described by the science fiction writer Ren? Barjavel in his 1943 book Le Voyageur Imprudent ....
    • Root cause analysis
      Root cause analysis

      Root cause analysis is a class of problem solving methods aimed at identifying the root causes of problems or events. The practice of RCA is predicated on the belief that problems are best solved by attempting to correct or eliminate root causes, as opposed to merely addressing the immediately obvious symptoms....
    • Schrödinger's cat
      Schrödinger's cat

      Schr?dinger's cat is a thought experiment, often described as a paradox, devised by Austrian physicist Erwin Schr?dinger in 1935. It illustrates what he saw as the problem of the Copenhagen interpretation of quantum mechanics being applied to everyday objects....


    Philosophy:
    • Aetiology
    • Chicken or the egg
      The chicken or the egg

      The chicken or the egg causality dilemma is commonly stated as "which came first, the chicken or the egg ?"Chickens hatch from eggs, but eggs are laid by chickens, making it difficult to say which originally gave rise to the other....
    • Determinism
      Determinism

      Determinism is the philosophy proposition that every event, including human cognition and behavior, decision and action, is causality determined by an unbroken chain of prior occurrences. With numerous historical debates, many varieties and philosophical positions on the subject of determinism exist from traditions throughout...
    • Efficient cause
    • Final cause (teleology)
    • Free will
      Free will

      The question of free will is whether, and in what sense, rational agents exercise control over their actions and decisions. Addressing this question requires understanding the relationship between freedom and Causality, and determining whether the laws of nature are causally deterministic....
    • Material cause
    • Mill's Methods
      Mill's Methods

      Mill's Methods are five methods of Inductive reasoning described by philosopher John Stuart Mill in his 1843 book A System of Logic. They are intended to illuminate issues of Causality....
    • Newcomb's paradox
      Newcomb's paradox

      Newcomb's Paradox, also referred to as Newcomb's Problem, is a thought experiment involving a game between two players, one of whom purports to be able to predict the future....
    • Ontological paradox
      Ontological paradox

      An ontological paradox is a physical paradox of time travel that questions the existence and creation of information and objects that travel in time....
    • Post hoc ergo propter hoc
      Post hoc ergo propter hoc

      Post hoc ergo propter hoc, Latin for "after this, therefore because of this", is a Fallacy#logical fallacy which states, "Since that event followed this one, that event must have been caused by this one." It is often shortened to simply post hoc and is also sometimes referred to as false cause, coincidental c...
    • Predestination paradox
      Predestination paradox

      A predestination paradox, also called either a causal loop, or a causality loop and either a closed loop or Closed timelike curve, is a physical paradox of time travel that is often used as a convention in science fiction....
    • Proximate and ultimate causation


    General
    • Domino effect
      Domino effect

      The domino effect is a chain reaction that occurs when a small change causes a similar change nearby, which then will cause another similar change, and so on in linear sequence....


    Psychology & Medicine:
    • Adverse effect
      Adverse effect (medicine)

      In medicine, an adverse effect is a harmful and undesired effect resulting from a medication or other intervention such as chemotherapy or surgery....
    • Clinical trial
      Clinical trial

      In health care, clinical trials are conducted to allow safety and efficacy data to be collected for new drugs or devices. These trials can only take place once satisfactory information has been gathered on the quality of the product and its non-clinical safety, and Institutional review board approval is granted in the country where the trial...
    • Force Dynamics
      Force Dynamics

      Force Dynamics is a semantic category that describes the way in which entities interact with reference to force. Force Dynamics gained a good deal of attention in cognitive linguistics due to its claims of psychological plausibility and the elegance with which it generalizes ideas not usually considered in the same context....
    • Iatrogenesis
      Iatrogenesis

      The terms iatrogenesis and iatrogenic artifact refer to adverse effect s or complication s caused by or resulting from medicine treatment or advice....
    • Nocebo
      Nocebo

      In its original application, "nocebo" had a very specific meaning in the medical domains of pharmacology, and nosology, and etiology.It was a subject-oriented adjective that was used to label the harmful, unpleasant, or undesirable reactions that a subject manifested as a result of administering an inert placebo, where these responses had...
    • Placebo (Sugar pill)
    • Scientific control
      Scientific control

      Scientific controls are a vital part of the scientific method, since they can eliminate or minimise unintended influences such as researcher bias, environmental changes and biological variation....
    • Suggestibility
      Suggestibility

      People are deemed to be suggestible if they accept and act on suggestions by others.A person experiencing intense emotions tends to be more receptive to ideas and therefore more suggestible....
    • Suggestion
      Suggestion

      Suggestion is the name given to the psychological process by which one person may guide the thoughts, feelings or behaviour of another. For nineteenth century writers on psychology such as William James the words "suggest" and "suggestion" were used in senses very close to those which they have in common speech; one idea was said...


    Sociology & Economics:
    • Granger causality
      Granger causality

      Granger causality is a technique for determining whether one time series is useful in forecasting another. Ordinarily, regressions reflect "mere" correlations, but Clive Granger, who won a Nobel Prize in Economics, argued that there is an interpretation of a set of tests as revealing something about causality....
    • Linear regression
      Linear regression

      In statistics, linear regression is used for two things;Linear regression is a form of regression analysis in which the relationship between one or more independent variables and another variable, called the dependent variable, is modeled by a least squares function, called linear regression equation....
    • Self-fulfilling prophecy
      Self-fulfilling prophecy

      A self-fulfilling prophecy is a prediction that directly or indirectly causes itself to become true, by the very terms of the prophecy itself. Although examples of such prophecy can be found in literature as far back as ancient Greece and ancient India, it is 20th-century sociologist Robert K....
    • Unintended consequence
      Unintended consequence

      Unintended consequences are outcomes that are not the results originally intended in a particular situation. The unintended results may be foreseen or unforeseen, but they should be the logical or likely results of the action....


    Other references

    • Abdoullaev, A. (2000)The Ultimate of Reality: Reversible Causality, in Proceedings of the 20th World Congress of Philosophy, Boston: Philosophy Documentation Centre, internet site, Paideia Project On-Line: http://www.bu.edu/wcp/MainMeta.htm
    • Green, Celia (2003). The Lost Cause: Causation and the Mind-Body Problem. Oxford: Oxford Forum. ISBN 0-9536772-1-4 Includes three chapters on causality at the microlevel in physics.
    • Judea Pearl
      Judea Pearl

      Judea Pearl is a computer scientist and philosopher, best known for developing the probability approach to artificial intelligence, in particular through Bayesian networks , and for the formalization of causal reasoning ....
       (2000)
      Causality: Models of Reasoning and Inference Cambridge University Press ISBN-13: 978-0521773621
    • Rosenberg, M. (1968). The Logic of Survey Analysis. New York: Basic Books, Inc.
    • Spirtes, Peter, Clark Glymour and Richard Scheines Causation, Prediction, and Search, MIT Press, ISBN 0-262-19440-6
    • University of California
      University of California

      The University of California is a public university system in the U.S. state of California. Under the California Master Plan for Higher Education, the University of California is a part of the state's three-tier public higher education system, which also includes the California State University system and the California Community Colleges s...
       journal articles, including Judea Pearl's articles between 1984-1998 .


    External links

    • : a slide show and tutorial lecture by Judea Pearl
    • : a Buddhist school based on this law of life as seen in the Lotus Sutra. Website in Italian and English.


    Stanford Encyclopedia of Philosophy



    General

    • Causation
    • Causation in History
    • Causation in Law