An error (from the Latin , meaning 'to wander'
[Oxford English Dictionary, s.v. “error (n.), Etymology,” September 2023, .]) is an inaccurate or incorrect action, thought, or judgement.
In
statistics
Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
, "error" refers to the difference between the value which has been computed and the correct value. An error could result in
failure
Failure is the social concept of not meeting a desirable or intended objective, and is usually viewed as the opposite of success. The criteria for failure depends on context, and may be relative to a particular observer or belief system. On ...
or in a
deviation from the intended performance or behavior.
Human behavior
One reference differentiates between "error" and "mistake" as follows:
In
human behavior
Human behavior is the potential and expressed capacity (Energy (psychological), mentally, Physical activity, physically, and Social action, socially) of human individuals or groups to respond to internal and external Stimulation, stimuli throu ...
the norms or expectations for behavior or its consequences can be derived from the intention of the actor or from the expectations of other individuals or from a social grouping or from
social norms. (See
deviance.) Gaffes and faux pas can be labels for certain instances of this kind of error. More serious departures from social norms carry labels such as misbehavior and labels from the legal system, such as
misdemeanor
A misdemeanor (American English, spelled misdemeanour elsewhere) is any "lesser" criminal act in some common law legal systems. Misdemeanors are generally punished less severely than more serious felonies, but theoretically more so than admi ...
and
crime
In ordinary language, a crime is an unlawful act punishable by a State (polity), state or other authority. The term ''crime'' does not, in modern criminal law, have any simple and universally accepted definition,Farmer, Lindsay: "Crime, definiti ...
. Departures from norms connected to religion can have other labels, such as
sin.
Language
An individual language user's deviations from standard language norms in
grammar
In linguistics, grammar is the set of rules for how a natural language is structured, as demonstrated by its speakers or writers. Grammar rules may concern the use of clauses, phrases, and words. The term may also refer to the study of such rul ...
,
pronunciation and
orthography
An orthography is a set of convention (norm), conventions for writing a language, including norms of spelling, punctuation, Word#Word boundaries, word boundaries, capitalization, hyphenation, and Emphasis (typography), emphasis.
Most national ...
are sometimes referred to as
errors. However, in light of the role of language usage in everyday
social class
A social class or social stratum is a grouping of people into a set of Dominance hierarchy, hierarchical social categories, the most common being the working class and the Bourgeoisie, capitalist class. Membership of a social class can for exam ...
distinctions, many feel that
linguistics
Linguistics is the scientific study of language. The areas of linguistic analysis are syntax (rules governing the structure of sentences), semantics (meaning), Morphology (linguistics), morphology (structure of words), phonetics (speech sounds ...
should restrain itself from such
prescriptivist judgments to avoid reinforcing dominant class value claims about what linguistic forms should and should not be used. One may distinguish various kinds of linguistic errors – some, such as
aphasia
Aphasia, also known as dysphasia, is an impairment in a person's ability to comprehend or formulate language because of dysfunction in specific brain regions. The major causes are stroke and head trauma; prevalence is hard to determine, but aph ...
or
speech disorders, where the user is unable to say what they intend to, are generally considered errors, while cases where natural, intended speech is
non-standard (as in vernacular dialects), are considered legitimate speech in scholarly linguistics, but might be considered errors in prescriptivist contexts. See also
Error analysis (linguistics)
In linguistics, according to J. Richard et al., (2002), an error is the use of a word, speech act or grammatical items in such a way that it seems imperfect and significant of an incomplete learning (184). It is considered by Norrish (1983, p.&nb ...
.
Gaffe
A gaffe is usually made in a
social environment
The social environment, social context, sociocultural context or milieu refers to the immediate physical and social setting in which people live or in which something happens or develops. It includes the culture that the individual was educated ...
and may come from saying something that may be true but inappropriate. It may also be an erroneous attempt to reveal a truth. Gaffes can be
malapropism
A malapropism (; also called a malaprop, acyrologia or Dogberryism) is the incorrect use of a word in place of a word with a similar sound, either unintentionally or for comedic effect, resulting in a nonsensical, often humorous utterance. An exam ...
s, grammatical errors or other verbal and gestural weaknesses or revelations through
body language
Body language is a type of nonverbal communication in which physical behaviors, as opposed to words, are used to express or convey information. Such behavior includes facial expressions, body posture, gestures, eye movement, touch and the use o ...
. Actually revealing factual or social truth through words or body language, however, can commonly result in embarrassment or, when the gaffe has negative connotations, friction between people involved.
Philosophers and psychologists interested in the nature of the gaffe include
Sigmund Freud
Sigmund Freud ( ; ; born Sigismund Schlomo Freud; 6 May 1856 – 23 September 1939) was an Austrian neurologist and the founder of psychoanalysis, a clinical method for evaluating and treating psychopathology, pathologies seen as originating fro ...
(
Freudian slip
In psychoanalysis, a Freudian slip, also called parapraxis, is an error in speech, memory, or physical action that occurs due to the interference of an unconscious subdued wish or internal train of thought. Classical examples involve slips of ...
) and
Gilles Deleuze
Gilles Louis René Deleuze (18 January 1925 – 4 November 1995) was a French philosopher who, from the early 1950s until his death in 1995, wrote on philosophy, literature, film, and fine art. His most popular works were the two volumes o ...
. Deleuze, in his ''
The Logic of Sense'', places the gaffe in a developmental process that can culminate in stuttering.
Sportswriters and journalists commonly use "gaffe" to refer to any kind of mistake, e.g. a dropped ball (
baseball error) by a player in a baseball game.
Science and engineering

In
statistics
Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
, an
''error'' (or ''residual'') is not a "mistake" but rather a difference between a computed, estimated, or measured value and the accepted true, specified, or theoretically correct value.
In science and engineering in general, an error is defined as a difference between the desired and actual performance or
behavior
Behavior (American English) or behaviour (British English) is the range of actions of Individual, individuals, organisms, systems or Artificial intelligence, artificial entities in some environment. These systems can include other systems or or ...
of a
system
A system is a group of interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded and influenced by its open system (systems theory), environment, is described by its boundaries, str ...
or
object. This definition is the basis of operation for many types of
control system
A control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops. It can range from a single home heating controller using a thermostat controlling a domestic boiler to large industrial ...
s, in which error is defined as the difference between a set point and the process value. An example of this would be the thermostat in a home heating system – the operation of the heating equipment is controlled by the difference (the error) between the thermostat setting and the sensed air temperature. Another approach is related to considering a scientific hypothesis as true or false, giving birth to two types of errors:
Type 1 and Type 2. The first one is when a true hypothesis is considered false, while the second is the reverse (a false one is considered true).
Engineer
Engineers, as practitioners of engineering, are professionals who Invention, invent, design, build, maintain and test machines, complex systems, structures, gadgets and materials. They aim to fulfill functional objectives and requirements while ...
s seek to design
devices,
machine
A machine is a physical system that uses power to apply forces and control movement to perform an action. The term is commonly applied to artificial devices, such as those employing engines or motors, but also to natural biological macromol ...
s and
system
A system is a group of interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded and influenced by its open system (systems theory), environment, is described by its boundaries, str ...
s and in such a way as to mitigate or preferably avoid the effects of error, whether
unintentional or not. Such errors in a system can be latent
design
A design is the concept or proposal for an object, process, or system. The word ''design'' refers to something that is or has been intentionally created by a thinking agent, and is sometimes used to refer to the inherent nature of something ...
errors that may go unnoticed for years, until the right set of circumstances arises that cause them to become active. Other errors in engineered systems can arise due to
human error
Human error is an action that has been done but that was "not intended by the actor; not desired by a set of rules or an external observer; or that led the task or system outside its acceptable limits".Senders, J.W. and Moray, N.P. (1991) Human Er ...
, which includes
cognitive bias
A cognitive bias is a systematic pattern of deviation from norm (philosophy), norm or rationality in judgment. Individuals create their own "subjective reality" from their perception of the input. An individual's construction of reality, not the ...
.
Human factors engineering is often applied to designs in an attempt to minimize this type of error by making systems more forgiving or
error-tolerant.
(In
computational mechanics, when solving a system such as ''Ax'' = ''b'' there is a distinction between the "error" – the inaccuracy in ''x'' – and
residual – the inaccuracy in ''Ax''.)
A notable result of Engineering and Scientific errors that occurred in history is the
Chernobyl disaster
On 26 April 1986, the no. 4 reactor of the Chernobyl Nuclear Power Plant, located near Pripyat, Ukrainian Soviet Socialist Republic, Ukrainian SSR, Soviet Union (now Ukraine), exploded. With dozens of direct casualties, it is one of only ...
of 1986, which caused a nuclear meltdown in the City of
Chernobyl in present-day
Ukraine
Ukraine is a country in Eastern Europe. It is the List of European countries by area, second-largest country in Europe after Russia, which Russia–Ukraine border, borders it to the east and northeast. Ukraine also borders Belarus to the nor ...
, and is used as a case study in many Engineering/Science research
Numerical analysis
Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of ...
provides a variety of techniques to represent (store) and compute
approximations to mathematical numerical values. Errors arise from a trade-off between efficiency (space and computation time) and precision, which is limited anyway, since (using common
floating-point arithmetic
In computing, floating-point arithmetic (FP) is arithmetic on subsets of real numbers formed by a ''significand'' (a Sign (mathematics), signed sequence of a fixed number of digits in some Radix, base) multiplied by an integer power of that ba ...
) only a finite amount of values can be represented exactly. The discrepancy between the exact mathematical value and the stored/computed value is called the
approximation error.
Cybernetics
In applying corrections to the trajectory or course being steered,
cybernetics
Cybernetics is the transdisciplinary study of circular causal processes such as feedback and recursion, where the effects of a system's actions (its outputs) return as inputs to that system, influencing subsequent action. It is concerned with ...
can be seen as the most general approach to error and its correction for the achievement of any goal. The term was suggested by
Norbert Wiener
Norbert Wiener (November 26, 1894 – March 18, 1964) was an American computer scientist, mathematician, and philosopher. He became a professor of mathematics at the Massachusetts Institute of Technology ( MIT). A child prodigy, Wiener late ...
to describe a new science of control and information in the animal and the machine. Wiener's early work was on
noise
Noise is sound, chiefly unwanted, unintentional, or harmful sound considered unpleasant, loud, or disruptive to mental or hearing faculties. From a physics standpoint, there is no distinction between noise and desired sound, as both are vibrat ...
.
The cybernetician
Gordon Pask held that the error that drives a
servomechanism
In mechanical and control engineering, a servomechanism (also called servo system, or simply servo) is a control system for the position and its time derivatives, such as velocity, of a mechanical system. It often includes a servomotor, and ...
can be seen as a difference between a pair of analogous concepts in a servomechanism: the current state and the goal state. Later he suggested error can also be seen as an innovation or a contradiction depending on the context and perspective of interacting (observer) participants. The founder of
management cybernetics,
Stafford Beer, applied these ideas most notably in his
viable system model.
Biology
In
biology
Biology is the scientific study of life and living organisms. It is a broad natural science that encompasses a wide range of fields and unifying principles that explain the structure, function, growth, History of life, origin, evolution, and ...
, an ''error'' is said to occur when perfect fidelity is lost in the copying of
information
Information is an Abstraction, abstract concept that refers to something which has the power Communication, to inform. At the most fundamental level, it pertains to the Interpretation (philosophy), interpretation (perhaps Interpretation (log ...
. For example, in an asexually reproducing species, an error (or mutation) has occurred for each
DNA
Deoxyribonucleic acid (; DNA) is a polymer composed of two polynucleotide chains that coil around each other to form a double helix. The polymer carries genetic instructions for the development, functioning, growth and reproduction of al ...
nucleotide
Nucleotides are Organic compound, organic molecules composed of a nitrogenous base, a pentose sugar and a phosphate. They serve as monomeric units of the nucleic acid polymers – deoxyribonucleic acid (DNA) and ribonucleic acid (RNA), both o ...
that differs between the
child
A child () is a human being between the stages of childbirth, birth and puberty, or between the Development of the human body, developmental period of infancy and puberty. The term may also refer to an unborn human being. In English-speaking ...
and the
parent
A parent is either the progenitor of a child or, in humans, it can refer to a caregiver or legal guardian, generally called an adoptive parent or step-parent. Parents who are progenitors are First-degree relative, first-degree relatives and have ...
. Many of these mutations can be harmful, but unlike other types of errors, some are neutral or even beneficial. Mutations are an important force driving
evolution
Evolution is the change in the heritable Phenotypic trait, characteristics of biological populations over successive generations. It occurs when evolutionary processes such as natural selection and genetic drift act on genetic variation, re ...
. Mutations that make organisms more adapted to their
environment increase in the population through
natural selection
Natural selection is the differential survival and reproduction of individuals due to differences in phenotype. It is a key mechanism of evolution, the change in the Heredity, heritable traits characteristic of a population over generation ...
as organisms with favorable mutations have more
offspring
In biology, offspring are the young creation of living organisms, produced either by sexual reproduction, sexual or asexual reproduction. Collective offspring may be known as a brood or progeny. This can refer to a set of simultaneous offspring ...
.
Philately
In
philately, an ''error'' refers to a
postage stamp
A postage stamp is a small piece of paper issued by a post office, postal administration, or other authorized vendors to customers who pay postage (the cost involved in moving, insuring, or registering mail). Then the stamp is affixed to the f ...
or piece of
postal stationery that exhibits a printing or production mistake that differentiates it from a normal specimen or from the intended result. Examples are stamps printed in the wrong color or missing one or more colors, printed with a vignette
inverted in relation to its frame, produced without any perforations on one or more sides when the normal stamps are perforated, or printed on the wrong type of paper. Legitimate errors must always be produced and sold unintentionally. Such errors may or may not be scarce or rare. A ''
design error'' may refer to a mistake in the design of the stamp, such as a mislabeled subject, even if there are no printing or production mistakes.
Law
In
appellate review
In law, an appeal is the process in which cases are reviewed by a higher authority, where parties request a formal change to an official decision. Appeals function both as a process for error correction as well as a process of clarifying an ...
, error typically refers to mistakes made by a
trial court
A trial court or court of first instance is a court having original jurisdiction, in which trials take place. Appeals from the decisions of trial courts are usually heard by higher courts with the power of appellate review (appellate courts). ...
or some other court of first instance in applying the law in a particular
legal case
Legal proceeding is an activity that seeks to invoke the power of a tribunal in order to enforce a law. Although the term may be defined more broadly or more narrowly as circumstances require, it has been noted that " e term ''legal proceedings'' ...
. This may involve such mistakes as improper admission of
evidence
Evidence for a proposition is what supports the proposition. It is usually understood as an indication that the proposition is truth, true. The exact definition and role of evidence vary across different fields. In epistemology, evidence is what J ...
, inappropriate
instructions to the
jury
A jury is a sworn body of people (jurors) convened to hear evidence, make Question of fact, findings of fact, and render an impartiality, impartial verdict officially submitted to them by a court, or to set a sentence (law), penalty or Judgmen ...
, or applying the wrong
standard of proof
In a legal dispute, one party has the burden of proof to show that they are correct, while the other party has no such burden and is presumed to be correct. The burden of proof requires a party to produce evidence to establish the truth of facts ...
.
Stock market
A stock market error is a stock market transaction that was done due to an error, due to human
failure
Failure is the social concept of not meeting a desirable or intended objective, and is usually viewed as the opposite of success. The criteria for failure depends on context, and may be relative to a particular observer or belief system. On ...
or
computer errors.
Governmental policy
Within United States government intelligence agencies, such as
Central Intelligence Agency
The Central Intelligence Agency (CIA; ) is a civilian foreign intelligence service of the federal government of the United States tasked with advancing national security through collecting and analyzing intelligence from around the world and ...
agencies, ''error'' refers to ''intelligence error'', as previous assumptions that used to exist at a senior intelligence level within senior intelligence agencies, but has since been disproven, and is sometimes eventually listed as unclassified, and therefore more available to the
public
In public relations and communication science, publics are groups of individual people, and the public (a.k.a. the general public) is the totality of such groupings. This is a different concept to the sociology, sociological concept of the ''Öf ...
and
citizenry of the United States. The
Freedom of information act provides American citizenry with a means to read intelligence reports that were mired in error. Per United States Central Intelligence Agency's website (as of August, 2008) intelligence error is described as:
"Intelligence errors are factual inaccuracies in analysis resulting from poor or missing data; intelligence failure is systemic organizational surprise resulting from incorrect, missing, discarded, or inadequate hypotheses."
Numismatics
In
numismatics
Numismatics is the study or collection of currency, including coins, tokens, paper money, medals, and related objects.
Specialists, known as numismatists, are often characterized as students or collectors of coins, but the discipline also inclu ...
, an ''error'' refers to a
coin
A coin is a small object, usually round and flat, used primarily as a medium of exchange or legal tender. They are standardized in weight, and produced in large quantities at a mint in order to facilitate trade. They are most often issued by ...
or
medal
A medal or medallion is a small portable artistic object, a thin disc, normally of metal, carrying a design, usually on both sides. They typically have a commemorative purpose of some kind, and many are presented as awards. They may be in ...
that has a minting mistake, similar to errors found in philately. Because the U.S.
Bureau of the Mint keeps a careful eye on all potential errors, errors on U.S. coins are very few and usually very scarce. Examples of numismatic errors: extra metal attached to a coin, a clipped coin caused by the coin stamp machine stamping a second coin too early, double stamping of a coin. A coin that has been overdated, e.g. 1942/41, is also considered an error.
Linguistics
In
applied linguistics
Applied linguistics is an interdisciplinary field which identifies, investigates, and offers solutions to language-related real-life problems. Some of the academic fields related to applied linguistics are education, psychology, Communication stu ...
, an error is an unintended deviation from the immanent rules of a
language variety made by a
second language
A second language (L2) is a language spoken in addition to one's first language (L1). A second language may be a neighbouring language, another language of the speaker's home country, or a foreign language.
A speaker's dominant language, which ...
learner. Such errors result from the learner's lack of knowledge of the correct rules of the target language variety. A significant distinction is generally made between ''errors'' (systematic deviations) and ''mistakes'' (
speech performance errors) which are not treated the same from a linguistic viewpoint. The study of learners' errors has been the main area of investigation by linguists in the history of
second-language acquisition research.
Medicine
A
medical error is a preventable adverse effect of care ("iatrogenesis"), whether or not it is evident or harmful to the patient. This might include an inaccurate or incomplete diagnosis or treatment of a disease, injury, syndrome, behavior, infection, or other ailment.
The word ''error'' in medicine is used as a label for nearly all of the clinical incidents that harm patients. Medical errors are often described as
human error
Human error is an action that has been done but that was "not intended by the actor; not desired by a set of rules or an external observer; or that led the task or system outside its acceptable limits".Senders, J.W. and Moray, N.P. (1991) Human Er ...
s in healthcare. Whether the label is a medical error or human error, one definition used in medicine says that it occurs when a
healthcare
Health care, or healthcare, is the improvement or maintenance of health via the preventive healthcare, prevention, diagnosis, therapy, treatment, wikt:amelioration, amelioration or cure of disease, illness, injury, and other disability, physic ...
provider chooses an inappropriate method of care, improperly executes an appropriate method of care, or reads the wrong
CT scan
A computed tomography scan (CT scan), formerly called computed axial tomography scan (CAT scan), is a medical imaging technique used to obtain detailed internal images of the body. The personnel that perform CT scans are called radiographers or ...
. It has been said that the definition should be the subject of more debate. For instance, studies of hand hygiene compliance of physicians in an ICU show that compliance varied from 19% to 85%.
The deaths that result from infections caught as a result of treatment providers improperly executing an appropriate method of care by not complying with known safety standards for hand hygiene are difficult to regard as innocent accidents or mistakes.
There are many types of medical error, from minor to major,
and causality is often poorly determined.
There are many taxonomies for classifying medical errors.
See also
*
Blooper
A blooper, or gag reel, is short clip from a film, television program or video production, usually a deleted scene, containing a mistake made by a member of the cast or crew. It also refers to an error made during a live radio or TV broadcast or ...
*
Blunder (chess) – Error in chess that severely worsens the player's position
*
Error detection and correction
*
Fallacy – Error in reasoning
*
Margin of error
*
Nonconformity – Production quality terminology
*
Perfection
*
Trial and error
References
External links
Errors contained in reference books – Internet Accuracy Project
{{Authority control
Human communication
Measurement