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Operational definition



 
 
Operational definition is a demonstration of a process — such as a 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....
, term
Terminology

Terminology is the study of terms and their use. Terms are words and compound words that are used in specific contexts. Not to be confused with "terms" in colloquial usages, the shortened form of technical terms which are defined within a Academic discipline or speciality field....
, or object
Object (philosophy)

In philosophy, an object is a thing, an entity, or a being. This may be taken in several senses.In its weakest sense, the word object is the most all-purpose of nouns, and can replace a noun in any sentence at all....
 — relative in terms of the specific 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...
 or set of validation tests
Formal verification

In the context of hardware and software systems, formal verification is the act of Mathematical proof or disproving the correctness of intended algorithms underlying a system with respect to a certain formal specification or property, using formal methods of mathematics....
 used to determine its presence and quantity. Properties described in this manner must be sufficiently accessible, so that persons other than the definer may independently measure or test for them at will. An operational definition is generally designed to model a conceptual definition
Conceptual definition

A conceptual definition is an element of the scientific research Process , in which a specific concept is defined as a measurable occurrence. It basically gives you the meaning of the concept....
.

The most operational definition is a process for identification
Identity (philosophy)

In philosophy, identity is whatever makes an entity definable and recognizable, in terms of possessing a set of qualities or characteristics that distinguish it from entities of a different type....
 of an object by distinguishing it from its background
Background

The term background may refer to:In art:*Background , the part of a scene that appears to be farthest from the viewer*Background lighting, a film technique...
 of empirical experience.






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Operational definition is a demonstration of a process — such as a 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....
, term
Terminology

Terminology is the study of terms and their use. Terms are words and compound words that are used in specific contexts. Not to be confused with "terms" in colloquial usages, the shortened form of technical terms which are defined within a Academic discipline or speciality field....
, or object
Object (philosophy)

In philosophy, an object is a thing, an entity, or a being. This may be taken in several senses.In its weakest sense, the word object is the most all-purpose of nouns, and can replace a noun in any sentence at all....
 — relative in terms of the specific 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...
 or set of validation tests
Formal verification

In the context of hardware and software systems, formal verification is the act of Mathematical proof or disproving the correctness of intended algorithms underlying a system with respect to a certain formal specification or property, using formal methods of mathematics....
 used to determine its presence and quantity. Properties described in this manner must be sufficiently accessible, so that persons other than the definer may independently measure or test for them at will. An operational definition is generally designed to model a conceptual definition
Conceptual definition

A conceptual definition is an element of the scientific research Process , in which a specific concept is defined as a measurable occurrence. It basically gives you the meaning of the concept....
.

The most operational definition is a process for identification
Identity (philosophy)

In philosophy, identity is whatever makes an entity definable and recognizable, in terms of possessing a set of qualities or characteristics that distinguish it from entities of a different type....
 of an object by distinguishing it from its background
Background

The term background may refer to:In art:*Background , the part of a scene that appears to be farthest from the viewer*Background lighting, a film technique...
 of empirical experience. The binary version produces either the result that the object exists, or that it doesn't, in the experiential field to which it is applied. The classifier
Classifier

The term classifier can refer to:*Classifier *Classifier *Classifier *Hierarchical classifier*Linear classifier...
 version results in discrimination between what is part of the object and what is not part of it. This is also discussed in terms of semantics
Semantics

Semantics is the study of meaning in communication. The word is derived from the Greek language word s??a?t???? , "significant", from s??a??? , "to signify, to indicate" and that from s??a , "sign, mark, token"....
, pattern recognition
Pattern recognition

Pattern recognition is a sub-topic of machine learning. It is "the act of taking in raw data and taking an action based on the Category of the data"....
, and operational techniques, such as regression.

For example, the weight of an object may be operationally defined in terms of the specific steps of putting an object on a weighing scale
Weighing scale

A weighing scale is a measuring instrument for measuring the weight or mass of an object. They use one of two techniques. A spring scale measures weight by the distance a spring deflects under its load....
. The weight is whatever results from following the measurement procedure, which can in principle be repeated by anyone. It is intentionally not defined in terms of some intrinsic or private essence
Essentialism

In philosophy, essentialism is the view that, for any specific kind of entity, there is a set of characteristics or properties all of which any entity of that kind must possess....
. The operational definition of weight is just the result of what happens when the defined procedure is followed. In other words, what's being defined is how to measure weight for any arbitrary object, and only incidentally the weight of a given object.

Operationalize means to put into operation. Operational definitions are also used to define system states in terms of a specific, publicly accessible process of preparation or validation testing, which is repeatable at will. For example, 100 degrees Celsius may be crudely defined by describing the process of heating water until it is observed to boil. An item like a brick, or even a photograph of a brick, may be defined in terms of how it can be made. Likewise, iron may be defined in terms of the results of testing or measuring it in particular ways.

One simple, every day illustration of an operational definition is defining a cake in terms of how it is prepared and baked (i.e., its recipe is an operational definition). Similarly, the saying, if it walks like a duck and quacks like a duck, it must be some kind of duck, may be regarded as involving a sort of measurement process or set of tests (see duck test
Duck test

The duck test is a humorous term for a form of inductive reasoning. It can be explained this way:The test implies that a person can figure out the true nature of an unknown subject by observing this subject's readily identifiable traits....
).

Limitations

If a definition invokes an historical event, such as having weighed an object sometime in the past, it is no longer repeatable, so it fails to qualify as operational. Similarly, a specific brick cannot be operationally defined by the process of making it, because that process is historical. (But see the example of the constellation Virgo below for a discussion of how to avoid this difficulty.)

Operational definitions are inherently difficult — arguably, even impossible — to apply to mental entities, because these latter are generally understood to be accessible only to the individual who experiences them and are therefore not independently verifiable. According to this line of thinking, a person's mental image of a brick cannot be operationally defined because it cannot be measured from outside that person's mood. Philosopher Daniel Dennett
Daniel Dennett

Daniel Clement Dennett is a prominent United States Philosophy whose research centers on philosophy of mind, philosophy of science and philosophy of biology, particularly as those fields relate to evolutionary biology and cognitive science....
 has argued that first-person operationalism is possible and desirable, using the anthropological version of the scientific method to bring the mind fully into the third-person realm required by science. As part of the Multiple Drafts Model
Multiple Drafts Model

Daniel Dennett's Multiple Drafts Model of Consciousness is a Physicalism theory of consciousness based upon Cognitivism , which views the mind in terms of information processing....
 of consciousness, Dennett defines a process he calls heterophenomenology
Heterophenomenology

Heterophenomenology , is a term coined by Daniel Dennett to describe an explicitly third-person, scientific approach to the study of consciousness and other mental phenomena....
, by which the mental is defined operationally in terms of the observed behavior of the subject.

Usefulness

Despite the controversial philosophical origins of the concept, particularly its close association with logical positivism
Logical positivism

Logical positivism is a school of philosophy that combines empiricism, the idea that observational evidence is indispensable for knowledge of the world, with a version of rationalism incorporating mathematical and logico-linguistic constructs and deductions in epistemology.See, e.g., : in Stanford Encyclopedia of Philosophy
, operational definitions have undisputed practical applications. This is especially so in the social and medical sciences, where operational definitions of key terms are used to preserve the unambiguous empirical testability of hypothesis and theory. Operational definitions are also important in the physical sciences.

Relevance to philosophy

The Stanford Encyclopedia of Philosophy says the following about Operationalism stored at http://plato.stanford.edu/entries/scientific-realism/ and written by Richard Boyd
Richard Boyd

Richard Boyd is a philosopher who has spent most of his career at Cornell University, though he also taught briefly at Harvard University and the University of Michigan....
:

However, this rejection of operationalism as a general project destined ultimately to define all experiential phenomena uniquely did not mean that operational definitions ceased to have any practical use or that they could not be applied in particular cases.

Relevance to science

The special theory of relativity
Theory of relativity

File:spacetime curvature.pngThe theory of relativity, or simply relativity, generally refers specifically to two theories of Albert Einstein: special relativity and general relativity....
 can be viewed as the introduction of operational definitions for simultaneity of events
Relativity of simultaneity

The relativity of simultaneity is the concept that simultaneity is not absolute, but dependent on the observer. That is, according to the special theory of relativity formulated by Albert Einstein in 1905, it is impossible to say in an absolute sense whether two events occur at the same time if those events are separated in space....
 and of distance
Length contraction

Length contraction, according to Hendrik Lorentz, is the physical phenomenon of a decrease in length detected by an observer in objects that travel at any non-zero velocity relative to that observer....
, that is, as providing the operations needed to define these terms.

In 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...
 the notion of operational definitions is closely related to the idea of observables, that is, definitions based upon what can be measured.

Operational definitions are at their most controversial in the field of 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....
, where intuitive concepts, such as intelligence need to be operationally defined before they become amenable to scientific investigation, for example, through processes such as IQ tests. Such definitions are used as a follow up to a conceptual definition
Conceptual definition

A conceptual definition is an element of the scientific research Process , in which a specific concept is defined as a measurable occurrence. It basically gives you the meaning of the concept....
, in which the specific concept is defined as a measurable occurrence. John Stuart Mill
John Stuart Mill

John Stuart Mill , United Kingdom philosopher, political economy, civil servant and Parliament of the United Kingdom, was an influential liberalism thinker of the 19th century....
 pointed out the dangers of believing that anything that could be given a name must refer to a thing and Stephen Jay Gould
Stephen Jay Gould

Stephen Jay Gould was a prominent American Paleontology, Evolution, and History of science. He was also one of the most influential and widely read writers of popular science of his generation....
 and others have criticized psychologists for doing just that. A committed operationalist would respond that speculation about the thing in itself, or noumenon
Noumenon

The noumenon is a posited object or event as it is in itself, independent of the senses. It classically refers to an object of human inquiry, understanding or cognition....
, should be resisted as meaningless, and would comment only on phenomena using operationally defined terms and tables of operationally defined measurements.

A behaviorist
Behaviorism

Behaviorism or Behaviourism,also called the learning perspective is a philosophy of psychology based on the proposition that all things which organisms do ? including acting, thinking and feeling?can and should be regarded as behaviors....
 psychologist might (operationally) define intelligence as that score obtained on a specific IQ test (e.g., the Wechsler Adult Intelligence Scale
Wechsler Adult Intelligence Scale

Wechsler Adult Intelligence Scale is a general test of intelligence , published in February 1955 as a revision of the David Wechsler-Bellevue Hospital Center test , a battery of tests that is composed from subtests Wechsler "adopted" from the Army ....
 test) by a human subject. The theoretical underpinnings of the WAIS would be completely ignored. This WAIS measurement would only be useful to the extent it could be shown to be related to other operationally defined measurements, e.g., to the measured probability of graduation from university.

Relevance to business

On October 15, 1970, the West Gate Bridge
West Gate Bridge

The West Gate Bridge is a large Cable-stayed bridge Box girder bridge bridge in Melbourne, Victoria , Australia. It spans the Yarra River, just north of its mouth into Port Phillip Bay, and is a vital link between the inner city and Melbourne's western suburbs with the industrial suburbs in the west and with the city of Geelong, Victoria, 80...
 in Melbourne
Melbourne

Melbourne is the more common name for the geographic region and Census in Australia of the Greater Melbourne metropolitan area. It is the second List of cities in Australia by population in Australia, with a population of approximately 3.8 million and serves as the List of Australian capital cities of Victoria ....
, Australia
Australia

Australia, officially the Commonwealth of Australia, is a country in the southern hemisphere comprising the Australia of the world's smallest continent, the major island of Tasmania, and numerous list of islands of Australia in the Indian Ocean and Pacific Oceans....
 collapsed, killing 35 construction workers. The subsequent enquiry found that the failure arose because engineers had specified the supply of a quantity of flat steel plate. The word flat in this context lacked an operational definition, so there was no test for accepting or rejecting a particular shipment or for controlling quality.

In his managerial and statistical writings, W. Edwards Deming
W. Edwards Deming

William Edwards Deming was an United States statistician, professor, author, lecturer, and consultant. Deming is widely credited with improving production in the United States during World War II, although he is perhaps best known for his work in Japan....
 placed great importance on the value of using operational definitions in all agreements in business. As he said:

"An operational definition is a procedure agreed upon for translation of a concept into measurement of some kind." - W. Edwards Deming

"There is no true value of any characteristic, state, or condition that is defined in terms of measurement or observation. Change of procedure for measurement (change of operational definition) or observation produces a new number." - W. Edwards Deming

Relevance to process

Operational, in a process context, also can denote a working method or a philosophy that focuses principally on cause and effect relationships (or stimulus/response, behavior, etc.) of specific interest to a particular domain at a particular point in time. As a working method, it does not consider issues related to a domain that are more general, such as the ontological, etc.

The term can be used strictly within the realm of the interactions of humans with advanced computational systems. In this sense, an AI
Ai

Ai may refer to:...
 system cannot be entirely operational (this issue can be used to discuss strong versus weak AI) if learning is involved.

Given that one motive for the operational approach is stability, systems that relax the operational factor can be problematic, for several reasons, as the operational is a means to manage complexity. There will be differences in the nature of the operational as it pertains to degrees along the end-user computing
End-user computing

End User Computing is a group of approaches to computing that aim at better integrating End-user into the computing environment or that attempt to realize the potential for high-end computing to perform in a trustworthy manner in problem solving of the highest order....
 axis.

For instance, a knowledge-based engineering
Knowledge-based engineering

Knowledge-based engineering is a discipline with roots in computer-aided design and knowledge-based systems but has several definitions and roles depending upon the context....
 system can enhance its operational aspect and thereby its stability through more involvement by the SME
SME

SME may stand for:*Small and medium enterprises, a synonym for Small and Medium-sized Business *SME , Slovak daily newspapers*SME Server, a Linux firewall/server distribution...
, of course, thereby opening up issues of limits that are related to being human, in the sense that, many times, computational results have to be taken at face value due to several factors (hence the duck test
Duck test

The duck test is a humorous term for a form of inductive reasoning. It can be explained this way:The test implies that a person can figure out the true nature of an unknown subject by observing this subject's readily identifiable traits....
's necessity arises) that even an expert cannot overcome. The end proof may be the final results (reasonable facsimile by simulation
Simulation

Simulation is the imitation of some real thing, state of affairs, or process. The act of simulating something generally entails representing certain key characteristics or behaviors of a selected physical or abstract system....
 or artifact
Artifact (observational)

In natural science and signal processing, an artifact is any perceived distortion or other data error caused by the instrument of observation....
, working design, etc.) that are not guaranteed to be repeatable, may have been costly to attain (time and money), and so forth.

Many domains, with a numerics
Numerical analysis

Numerical analysis is the study of algorithms for the problems of continuous mathematics .One of the earliest mathematical writings is the Babylonian tablet YBC 7289, which gives a sexagesimal numerical approximation of , the length of the diagonal in a unit square....
 focus, use limits logic to overcome the duck test necessity with varying degrees of success. Complex situations may require logic to be more non-monotonic
Non-monotonic logic

A non-monotonic logic is a formal logic whose Logical consequence Relation is not Monotonic#Monotonic_logic. Most studied formal logics have a monotonic consequence relation, meaning that adding a formula to a theory never produces a reduction of its set of consequences....
 than not raising concerns related to the qualification
Qualification problem

In philosophy and Artificial intelligence , the qualification problem is concerned with the impossibility of listing all the preconditions required for a real-world action to have its intended effect....
, frame
Frame problem

In artificial intelligence, the frame problem was initially formulated as the problem of expressing a dynamical domain in logic without explicitly specifying which conditions are not affected by an action....
, and ramification
Ramification problem

In philosophy and Artificial intelligence , the ramification problem is concerned with indirect consequences of an action. It might be posed as how to represent what happens implicitly due to an action or to control secondary and tertiary effects within the same period....
 problems.

Examples


Temperature

The thermodynamic definition of temperature
Temperature

In physics, temperature is a physical property of a Physical system that underlies the common notions of hot and cold; something that feels hotter generally has the greater temperature....
, due to Nicolas Léonard Sadi Carnot
Nicolas Léonard Sadi Carnot

Nicolas L?onard Sadi Carnot was a France physicist and military engineer who, in his 1824 Reflections on the Motive Power of Fire, gave the first successful theoretical account of heat engines, now known as the Carnot cycle, thereby laying the foundations of the second law of thermodynamics....
, refers to heat "flowing" between "infinite reservoirs". This is all highly abstract and unsuited for the day-to-day world of science and trade. In order to make the idea concrete, temperature is defined in terms of operations with the gas thermometer. However, these are sophisticated and delicate instruments, only adapted to the national standardization laboratory.

For day-to-day use, the International Temperature Scale of 1990
International Temperature Scale of 1990

The International Temperature Scale of 1990 is an equipment calibration standard for making measurements on the Kelvin and Degree Celsius temperature scales....
 (ITS) is used, defining temperature in terms of characteristics of the several specific sensor types required to cover the full range. One such is the electrical resistance
Electrical resistance

The electrical resistance of an object is a measure of its opposition to the passage of a steady electrical current. An object of uniform cross section will have a resistance proportional to its length and inversely proportional to its cross-sectional area, and proportional to the resistivity of the material....
 of a thermistor
Thermistor

A thermistor is a type of resistor with electrical resistance proportional to its temperature. The word is a portmanteau of Thermal and resistor....
, with specified construction, calibrated
Calibration

Calibration is the validation of specific measurement techniques and equipment. At the simplest level, calibration is a comparison between measurements-one of known magnitude or correctness made or set with one device and another measurement made in as similar a way as possible with a second device....
 against operationally defined fixed points.

Electric current

Electric current
Electric current

Electric current is the flow of electric charge. The electric charge may be either electrons or ions.The International System of Units unit of electric current intensity is the ampere....
 is defined in terms of the force
Force

In physics, a force is that which can cause an object with mass to change its velocity. Force has both Euclidean_vector#Length of a vector and Direction , making it a Vector quantity....
 between two infinite
Infinity

Infinity comes from the Latin infinitas or "unboundedness." It refers to several distinct concepts – usually linked to the idea of "without end" – which arise in philosophy, mathematics, and theology....
 parallel
Parallel (geometry)

Parallelism is a term in geometry and in everyday life that refers to a property in Euclidean space of two or more line s or plane , or a combination of these....
 conductors, separated by a specified distance. This definition is too abstract for practical measurement, so a device known as a current balance is used to define the ampere
Ampere

The ampere is the International System of Units unit of electric current. The ampere, in practice often shortened to amp, is an SI base unit, and is named after Andr?-Marie Amp?re, one of the main discoverers of electromagnetism....
 operationally.

Mechanical hardness

Unlike temperature
Temperature

In physics, temperature is a physical property of a Physical system that underlies the common notions of hot and cold; something that feels hotter generally has the greater temperature....
 and electric current
Electric current

Electric current is the flow of electric charge. The electric charge may be either electrons or ions.The International System of Units unit of electric current intensity is the ampere....
, there is no abstract physical concept of the hardness of a material. It is a slightly vague, subjective idea, somewhat like the idea of intelligence. In fact, it leads to three more specific ideas:

  1. Scratch hardness measured on Mohs' scale
    Mohs scale of mineral hardness

    Not to be confused with Siemens_#Mho, a unit of electric conductance.The Mohs scale of mineral hardness characterizes the scratch resistance of various minerals through the ability of a harder material to scratch a softer material....
    ;
  2. Indentation hardness; and
  3. Rebound, or dynamic, hardness measured with a Shore scleroscope.


Of these, indentation hardness itself leads to many operational definitions, the most important of which are:

  1. Brinell hardness test—using a 10 mm steel ball;
  2. Vickers hardness test
    Vickers hardness test

    The Vickers hardness test was developed in 1924 by Smith and Sandland at Vickers Ltd as an alternative to the Brinell_scale method to measure the hardness of materials....
    —using a pyramidal diamond indenter; and
  3. Rockwell hardness test—using a diamond cone indenter.


In all these, a process is defined for loading the indenter, measuring the resulting indentation and calculating a hardness number. Each of these three sequences of measurement operations produces numbers that are consistent with our subjective idea of hardness. The harder the material to our informal perception, the greater the number it will achieve on our respective hardness scales. Furthermore, experimental results obtained using these measurement methods has shown that the hardness number can be used to predict the stress required to permanently deform steel, a characteristic that fits in well with our idea of resistance to permanent deformation. However, there is not always a simple relationship between the various hardness scales. Vickers and Rockwell hardness numbers exhibit qualitatively different behaviour when used to describe some materials and phenomena.

The constellation Virgo

The constellation Virgo is a specific constellation of stars in the sky, hence the process of forming Virgo cannot be an operational definition, since it is historical and not repeatable. Nevertheless, the process whereby we locate Virgo in the sky is repeatable, so in this way, Virgo is operationally defined. In fact, Virgo can have any number of definitions (although we can never prove that we are talking about the same Virgo), and any number may be operational.

Duck typing

In advanced modeling, with the requisite computational support such as knowledge-based engineering
Knowledge-based engineering

Knowledge-based engineering is a discipline with roots in computer-aided design and knowledge-based systems but has several definitions and roles depending upon the context....
, mappings must be maintained between a real-world object, its abstracted counterparts as defined by the domain and its experts, and the computer models. Mismatches between domain models and their computational mirrors can raise issues that are apropos to this topic. Techniques that allow the flexible modeling required for many hard problems must resolve issues of identity, type, etc. which then lead to methods, such as duck typing
Duck typing

In computer programming, duck typing is a style of dynamic typing in which an object's current set of Method s and properties determines the valid semantics, rather than its inheritance from a particular class or implementation of a specific interface....
.

Conceptual vs operational definition

Conceptual definition Operational definition
Weight: a measurement of gravitational force acting on an object a result of measurement of an object on a Newton
Newton

The newton is the International System of Units SI derived unit of force, named after Isaac Newton in recognition of his work on classical mechanics....
 spring scale
Spring scale

A spring scale is a weighing scale used to measure force, such as the force of gravity, exerted on a mass or the force of a person's grip or the force exerted by a towing vehicle....


See also

  • Pragmatic maxim
    Pragmatic maxim

    The pragmatic maxim, also known as the maxim of pragmatism or the maxim of pragmaticism, is a maxim of logic formulated by Charles Sanders Peirce....
  • Pragmaticism
    Pragmaticism

    Pragmaticism is a term used by Charles Sanders Peirce for his pragmatic philosophy after 1905, in order to distance himself and it from pragmatism, the original name, which had been used in a manner he did not approve of in the "literary journals"....
  • Pragmatism
    Pragmatism

    Pragmatism is the philosophy of considering practical consequences or real effects to be vital components of meaning and truth. Pragmatism is generally considered to have originated in the late nineteenth century with Charles Peirce, who first stated the pragmatic maxim....


Further reading

  • Ballantyne, Paul F. History and Theory of Psychology Course, in Langfeld, H.S. (1945) Introduction to the Symposium on Operationism. Psyc. Rev. 32, 241-243.
  • Bohm, D. (1996). On dialog. N.Y.: Routledge.
  • Boyd, Richard. On the Current Status of the Issue of Scientific Realism in Erkenntnis. 19: 45-90.
  • Bridgman, P. W. The way things are. Cambridge: Harvard University Press. (1959)
  • Carnap, R. The Elimination of Metaphysics Through Logical Analysis of Language in Ayer, A.J. 1959.
  • Churchland, Patricia, Neurophilosophy— Toward a unified science of the mind/brain, MIT Press (1986).
  • Churchland, Paul., A Neurocomputational Perspective— The Nature of Mind and the Structure of Science, MIT Press (1989).
  • Dennett, Daniel C. Consciousness Explained, Little, Brown & Co.. 1992.
  • Depraz, N. (1999). "The phenomenological reduction as praxis." Journal of Consciousness Studies, 6(2-3), 95-110.
  • Hardcastle, G. L. (1995). "S.S. Stevens and the origins of operationism." Philosophy of Science, 62, 404-424.
  • Hermans, H. J. M. (1996). "Voicing the self: from information processing to dialogical interchange." Psychological Bulletin, 119(1), 31-50.
  • Hyman, Bronwen, U of Toronto, and Shephard, Alfred H., U of Manitoba, "Zeitgeist: The Development of an Operational Definition", The Journal of Mind and Behavior, 1(2), pps. 227-246 (1980)
  • Leahy, Thomas H., Virginia Commonwealth U, The Myth of Operationism, ibid, pps. 127-144 (1980)
  • Ribes-Inesta, Emilio "What Is Defined In Operational Definitions? The Case Of Operant Psychology," Behavior and Philosophy, 2003.
  • Roepstorff, A. & Jack, A. (2003). "Editorial introduction, Special Issue: Trusting the Subject? (Part 1)." Journal of Consciousness Studies, 10(9-10), v-xx.
  • Roepstorff, A. & Jack, A. (2004). "Trust or Interaction? Editorial introduction, Special Issue: Trusting the Subject? (Part 2)." Journal of Consciousness Studies, 11(7-8), v-xxii.
  • Stevens, S. S. Operationism and logical positivism, in M. H. Marx (Ed.), Theories in contemporary psychology (pp. 47-76). New York: MacMillan. (1963)
  • Thomson — Waddsworth, eds., Learning Psychology: Operational Definitions Research Methods Workshops