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Positivism refers to a set of epistemological perspectives and philosophies of science which hold that the scientific method is the best approach to uncovering the processes by which both physical and human events occur. Though the positivist approach has been a 'recurrent theme in the history of western thought from the Ancient Greeks to the present day' ^[1] the concept was developed in the early 19th century by the philosopher and founding sociologist, Auguste Comte.^[2]

Overview

Positivism asserts that the only authentic knowledge is that which is based on sense experience and positive verification. As an approach to the philosophy of science deriving from Enlightenment thinkers such as Henri de Saint-Simon and Pierre-Simon Laplace, Auguste Comte saw the scientific method as replacing metaphysics in the history of thought, observing the circular dependence of theory and observation in science. Sociological positivism was later reformulated by Émile Durkheim as a foundation to social research. At the turn of the 20th century the first wave of German sociologists, including Max Weber and Georg Simmel, rejected the doctrine, thus founding the antipositivist tradition in sociology. Later antipositivists and critical theorists have associated positivism with "scientism"; science as ideology.

In the early 20th century, logical positivism—a descendant of Comte's basic thesis but an independent movement— sprang up in Vienna and grew to become one of the dominant schools in Anglo-American philosophy and the analytic tradition. Logical positivists (or 'neopositivists') reject metaphysical speculation and attempt to reduce statements and propositions to pure logic. Critiques of this approach by philosophers such as Karl Popper and Thomas Kuhn have been highly influential, and led to the development of postpositivism. In psychology, the positivist movement was influential in the development of behavioralism and operationalism. In economics, practising researchers tend to emulate the methodological assumptions of classical positivism, but only in a de-facto fashion: the majority of economists do not explicitly concern themselves with matters of epistemology. In jurisprudence, "legal positivism" essentially refers to the rejection of natural law, thus its common meaning with philosophical positivism is somewhat attenuated and in recent generations generally emphasizes the authority of human political structures as opposed to a "scientific" view of law.

In contemporary social science, strong accounts of positivism have long since fallen out of favour. Practitioners of positivism today acknowledge in far greater detail observer bias and structural limitations. Modern positivists generally eschew metaphysical concerns in favor of methodological debates concerning clarity, replicability, reliability and validity.^[3] This positivism is generally equated with "quantitative research" and thus carries no explicit theoretical or philosophical commitments. The institutionalization of this kind of sociology is often credited to Paul Lazarsfeld,^[4] who pioneered large-scale survey studies and developed statistical techniques for analyzing them. This approach lends itself to what Robert K. Merton called middle-range theory: abstract statements that generalize from segregated hypotheses and empirical regularities rather than starting with an abstract idea of a social whole.^[5] Other new movements, such as critical realism, have emerged to reconcile the overarching aims of social science with various so-called 'postmodern' critiques.

Principles

In its strongest original formulation, positivism could be thought of as a set of five principles:

1. The unity of the scientific method – i.e., the logic of inquiry is the same across all sciences (social and natural).
2. The goal of inquiry is to explain and predict. Most positivists would also say that the ultimate goal is to develop the law of general understanding, by discovering necessary and sufficient conditions for any phenomenon (creating a perfect model of it). If the law is known, we can manipulate the conditions to produce the predicted result.
3. Scientific knowledge is testable. Research can be proved only by empirical means, not argumentations. Research should be mostly deductive, i.e. deductive logic is used to develop statements that can be tested (theory leads to hypothesis which in turn leads to discovery and/or study of evidence). Research should be observable with the human senses (arguments are not enough, sheer belief is out of the question). Positivists should prove their research using the logic of confirmation.
4. Science does not equal common sense. Researchers must be careful not to let common sense bias their research.
5. The relation of theory to practice – science should be as value-free as possible, and the ultimate goal of science is to produce knowledge, regardless of any politics, morals, or values held by those involved in the research. Science should be judged by logic, and ideally produce universal conditionals:

• For all conditions of X, if X has property P and P=Q, then X has property Q.
• Statements must be true for all times and places.

There are now no fewer than twelve distinct epistemologies that are referred to as positivism.^[6] Many of these approaches dispose of a number of these claims. For example, most contemporary social researchers do not believe in the existence of general social laws.

Sociological positivism

Comte's positivism

Auguste Comte

Auguste Comte (1798–1857) first described the epistemological perspective of positivism in The Course in Positive Philosophy, a series of texts published between 1830 and 1842. These texts were followed by the 1844 work, A General View of Positivism (published in English in 1865). The first three volumes of the Course dealt chiefly with the physical sciences already in existence (mathematics, astronomy, physics, chemistry, biology), whereas the latter two emphasized the inevitable coming of social science. Observing the circular dependence of theory and observation in science, and classifying the sciences in this way, Comte may be regarded as the first philosopher of science in the modern sense of the term.^[7] For him, the physical sciences had necessarily to arrive first, before humanity could adequately channel its efforts into the most challenging and complex "Queen science" of human society itself. His View of Positivism therefore set-out to define the empirical goals of sociological method.

Comte offered an account of social evolution, proposing that society undergoes three phases in its quest for the truth according to a general 'law of three stages'. The idea bears some similarity to Marx's view that human society would progress toward a communist peak. This is perhaps unsurprising as both were profoundly influenced by the early Utopian socialist, Henri de Saint-Simon, who was at one time Comte's mentor. Both Comte and Marx intended to develop, scientifically, a new secular ideology in the wake of European secularisation.

Comte's stages were (1) the theological, (2) the metaphysical, and (3) the positive.^[8] The theological phase of man was based on whole-hearted belief in all things with reference to God. God, Comte says, had reigned supreme over human existence pre-Enlightenment. Humanity's place in society was governed by its association with the divine presences and with the church. The theological phase deals with humankind's accepting the doctrines of the church (or place of worship) rather than relying on its rational powers to explore basic questions about existence. It dealt with the restrictions put in place by the religious organization at the time and the total acceptance of any “fact” adduced for society to believe.^[9] Comte describes the metaphysical phase of humanity as the time since the Enlightenment, a time steeped in logical rationalism, to the time right after the French Revolution. This second phase states that the universal rights of humanity are most important. The central idea is that humanity is invested with certain rights that must be respected. In this phase, democracies and dictators rose and fell in attempts to maintain the innate rights of humanity.^[10]

The final stage of the trilogy of Comte’s universal law is the scientific, or positive, stage. The central idea of this phase is that individual rights are more important than the rule of any one person. Comte stated that the idea of humanity's ability to govern itself makes this stage innately different from the rest. There is no higher power governing the masses and the intrigue of any one person can achieve anything based on that individual's free will and authority. The third principle is most important in the positive stage.^[11] Comte calls these three phases the universal rule in relation to society and its development. Neither the second nor the third phase can be reached without the completion and understanding of the preceding stage. All stages must be completed in progress.^[12]

Comte believed that the appreciation of the past and the ability to build on it towards the future was key in transitioning from the theological and metaphysical phases. The idea of progress was central to Comte's new science, sociology. Sociology would "lead to the historical consideration of every science" because "the history of one science, including pure political history, would make no sense unless it were attached to the study of the general progress of all of humanity".^[13] As Comte would say, "from science comes prediction; from prediction comes action".^[14] It is a philosophy of human intellectual development that culminated in science. The irony of this series of phases is that though Comte attempted to prove that human development has to go through these three stages, it seems that the positivist stage is far from becoming a realization. This is due to two truths. The positivist phase requires having complete understanding of the universe and world around us and requires that society should never know if it is in this positivist phase. Anthony Giddens argues that since humanity constantly uses science to discover and research new things, humanity never progresses beyond the second metaphysical phase. In this view, Comte’s positivism appears circular.^[12]

Positivist temple in Porto Alegre

Comte's fame today owes in part to Emile Littré, who founded The Positivist Review in 1867. As an approach to the philosophy of history, positivism was appropriated by historians such as Hippolyte Taine. Many of Comte's writings were translated into English by the Whig writer, Harriet Martineau, regarded by some as the first female sociologist. Debates continue to rage as to how much Comte appropriated from the work of his mentor, Saint-Simon.^[15] He was nevertheless influential: Brazilian thinkers turned to Comte's ideas about training a scientific elite in order to flourish in the industrialization process. Brazil's national motto, Ordem e Progresso ("Order and Progress") was taken from Comte's positivism, which was also influential in Poland.

In later life, Comte developed a 'religion of humanity' for positivist societies in order to fulfil the cohesive function once held by traditional worship. In 1849, he proposed a calendar reform called the 'positivist calendar'. For close associate John Stuart Mill, it was possible to distinguish between a "good Comte" (the author of the Course in Positive Philosophy) and a "bad Comte" (the author of the secular-religious system).^[7] The system was unsuccessful but met with the publication of Darwin's On the Origin of Species to influence the proliferation of various Secular Humanist organizations in the 19th century, especially through the work of secularists such as George Holyoake and Richard Congreve. Although Comte's English followers, including George Eliot and Harriet Martineau, for the most part rejected the full gloomy panoply of his system, they liked the idea of a religion of humanity and his injunction to "vivre pour autrui" ("live for others", from which comes the word "altruism").^[16]

The early sociology of Herbert Spencer came about broadly as a reaction to Comte; writing after various developments in evolutionary biology, Spencer attempted (in vain) to reformulate the discipline in what we might now describe as socially Darwinistic terms. (Spencer was in actual fact a proponent of Lamarckism rather than Darwinism).

Durkheim's positivism

Émile Durkheim

The modern academic discipline of sociology began with the work of Émile Durkheim (1858–1917). While Durkheim rejected much of the detail of Comte's philosophy, he retained and refined its method, maintaining that the social sciences are a logical continuation of the natural ones into the realm of human activity, and insisting that they may retain the same objectivity, rationalism, and approach to causality.^[4] Durkheim set up the first European department of sociology at the University of Bordeaux in 1895, publishing his Rules of the Sociological Method (1895).^[17] In this text he argued: "[o]ur main goal is to extend scientific rationalism to human conduct... What has been called our positivism is but a consequence of this rationalism." ^[18]

Durkheim's seminal monograph, Suicide (1897), a case study of suicide rates amongst Catholic and Protestant populations, distinguished sociological analysis from psychology or philosophy. By carefully examining suicide statistics in different police districts, he attempted to demonstrate that Catholic communities have a lower suicide rate than that of Protestants, something he attributed to social (as opposed to individual or psychological) causes. He developed the notion of objective suis generis "social facts" to delineate a unique empirical object for the science of sociology to study.^[4] Through such studies he posited that sociology would be able to determine whether any given society is 'healthy' or 'pathological', and seek social reform to negate organic breakdown or "social anomie". For Durkheim, sociology could be described as the "science of institutions, their genesis and their functioning".^[19]

Accounts of Durkheim's positivism are vulnerable to exaggeration and oversimplification: Comte was the only major sociological thinker to postulate that the social realm may be subject to scientific analysis in exactly the same way as natural science, whereas Durkheim saw a far greater need for developing a distinctly sociological scientific methodology. His lifework was fundamental in the establishment of practical social research as we know it today - techniques which continue beyond sociology and form the basis for methodology in other social sciences, such as political science, as well in market research and further fields.^[20]

Antipositivism and critical theory

At the turn of the 20th century, the first wave of German sociologists formally introduced methodological antipositivism, proposing that research should concentrate on human cultural norms, values, symbols, and social processes viewed from a subjective perspective. Max Weber argued that sociology may be loosely described as a 'science' as it is able to identify causal relationships—especially among ideal types, or hypothetical simplifications of complex social phenomena.^[21] As a nonpositivist, however, one seeks relationships that are not as "ahistorical, invariant, or generalizable"^[22] as those pursued by natural scientists. Weber regarded sociology as the study of social action, using critical analysis and verstehen techniques. The sociologists Georg Simmel, Ferdinand Tönnies, George Herbert Mead, and Charles Cooley were also influential in the development of sociological antipositivism, whilst neo-Kantian philosophy, hermeneutics and phenomenology facilitated the movement in general.

Karl Marx drew upon historical materialism and critical analysis rather than positivism, a tradition which would continue in the development of critical theory. Following in the tradition of both Weber and Marx, the critical theorist Jürgen Habermas has critiqued pure instrumental rationality (in its relation to the cultural "rationalisation" of the modern West) as meaning that scientific thinking becomes something akin to ideology itself. Positivism may be espoused by 'technocrats' who believe in the inevitability of social progress through science and technology.^[23][24] New movements, such as critical realism, have emerged in order to reconcile postpositivist aims with various so-called 'postmodern' perspectives on the social acquisition of knowledge.

Modern positivism

In the original Comtean usage, the term "positivism" roughly meant the use of scientific methods to uncover the laws according to which both physical and human events occur, while "sociology" was the overarching science that would synthesize all such knowledge for the betterment of society. "Antipositivism" formally dates back to the start of the twentieth century, and is based around the belief that natural and human sciences are ontologically and epistemologically distinct. Neither of these terms is any longer used in this meaning.^[4] There are no fewer than twelve distinct epistemologies that are referred to as positivism.^[6] Many of these approaches do not self-identify as "positivist", some because they themselves arose in opposition to older forms of positivism, and some because the label has over time become a term of abuse^[4] by being mistakenly linked with atheoretical empiricism. The extent of antipositivist criticism has also become broad, with many philosophies broadly rejecting the scientifically based social epistemology and other ones only seeking to amend it to reflect 20th century developments in the philosophy of science. However, positivism (understood as the use of scientific methods for studying society) remains the dominant approach to both research and theory construction in contemporary sociology, especially in the United States.^[4]

The majority of articles published in leading American sociology and political science journals today are positivist (at least to the extent of being quantitative rather than qualitative).^[25][26] This popularity may be due to the fact that research utilizing positivist quantitative methodologies holds a greater prestige in the social sciences than qualitative work.^[27] Such research is generally perceived as being more scientific and more trustworthy, and thus has a greater impact on policy and public opinion (though such judgments are frequently contested by scholars doing non-positivist work).^[27]

Logical positivism

Moritz Schlick, the founding father of logical positivism and the Vienna Circle.

Logical positivism (later and more accurately called logical empiricism) is a school of philosophy that combines empiricism, the idea that observational evidence is indispensable from knowledge of the world, with a version of rationalism, the idea that our knowledge includes a component that is not derived from observation.

Logical positivism grew from the discussions of a group called the "First Vienna Circle" which gathered at the Café Central before World War I. After the war Hans Hahn, a member of that early group, helped bring Moritz Schlick to Vienna. Schlick's Vienna Circle, along with Hans Reichenbach's Berlin Circle, propagated the new doctrines more widely in the 1920s and early 1930s. It was Otto Neurath's advocacy that made the movement self-conscious and more widely known. A 1929 pamphlet written by Neurath, Hahn, and Rudolf Carnap summarized the doctrines of the Vienna Circle at that time. These included: the opposition to all metaphysics, especially ontology and synthetic a priori propositions; the rejection of metaphysics not as wrong but as having no meaning; a criterion of meaning based on Ludwig Wittgenstein's early work; the idea that all knowledge should be codifiable in a single standard language of science; and above all the project of "rational reconstruction," in which ordinary-language concepts were gradually to be replaced by more precise equivalents in that standard language.

In the early 1930s, the Vienna Circle dispersed, mainly because of fascist persecution and the untimely deaths of Hans Hahn and Schlick. The most prominent proponents of logical positivism emigrated to the United Kingdom and to the United States, where they considerably influenced American philosophy. Until the 1950s, logical positivism was the leading school in the philosophy of science. After moving to the United States, Carnap proposed a replacement for the earlier doctrines in his Logical Syntax of Language. This change of direction and the somewhat differing views of Reichenbach and others led to a consensus that the English name for the shared doctrinal platform, in its American exile from the late 1930s, should be "logical empiricism."

Further thinkers

Within years of the publication of Comte's book A General View of Positivism (1856), other scientific and philosophical thinkers began creating their own definitions for positivism. They included Émile Zola, Emile Hennequin, Wilhelm Scherer, and Dimitri Pisarev. Émile Zola was an influential French novelist, the most important example of the literary school of naturalism, and a major figure in the political liberalization of France.

Emile Hennequin was a Parisian publisher and writer who wrote theoretical and critical pieces. He "exemplified the tension between the positivist drive to systematize literary criticism and the unfettered imagination inherent in literature." He was one of the few thinkers who disagreed with the notion that subjectivity invalidates observation, judgment and prediction. Unlike many positivist thinkers before him, he believed that subjectivity does play a role in science and society. His contribution to positivism pertains not to science and its objectivity, but rather to the subjectivity of art and the way the artist, work, and audience interrelate. Hennequin tried to analyze positivism strictly on the predictions, and the mechanical processes, but was perplexed due to the contradictions of the reactions of patrons to artwork that showed no scientific inclinations.

Wilhelm Scherer was a German philologist, a university professor, and a popular literary historian. He was known as a positivist because he based much of his work on "hypotheses on detailed historical research, and rooted every literary phenomenon in 'objective' historical or philological facts". His positivism is different due to his involvement with his nationalist goals. His major contribution to the movement was his speculation that culture cycled in a six-hundred-year period.

Dimitri Pisarev was a Russian critic who showed the greatest contradictions with his belief in positivism. His ideas focused around an imagination and style though he did not believe in romantic ideas because they reminded him of the oppressive tsarist government under which he lived. His basic beliefs was "an extreme anti-aesthetic scientistic position." He focused his efforts on defining the relation between literature and the environment.

Stephen Hawking

Stephen Hawking is a recent high profile advocate of positivism, at least in the physical sciences. In The Universe in a Nutshell (p. 31) he writes:

Any sound scientific theory, whether of time or of any other concept, should in my opinion be based on the most workable philosophy of science: the positivist approach put forward by Karl Popper and others. According to this way of thinking, a scientific theory is a mathematical model that describes and codifies the observations we make. A good theory will describe a large range of phenomena on the basis of a few simple postulates and will make definite predictions that can be tested… If one takes the positivist position, as I do, one cannot say what time actually is. All one can do is describe what has been found to be a very good mathematical model for time and say what predictions it makes.

However, the claim that Popper was a positivist is a common misunderstanding that Popper himself termed the "Popper legend." In fact, he developed his views in stark opposition to and as a criticism of positivism and held that scientific theories talk about how the world really is, not, as positivists claim, about phenomena or observations experienced by scientists. On the other hand, continental philosophers like Theodore Adorno and Jürgen Habermas regarded Popper as a positivist because of his devotion to a unified science.

Positivism in science today

The key features of positivism as of the 1950s, as defined in the "received view"^[28], are:

1. A focus on science as a product, a linguistic or numerical set of statements;
2. A concern with axiomatization, that is, with demonstrating the logical structure and coherence of these statements;
3. An insistence on at least some of these statements being testable, that is amenable to being verified, confirmed, or falsified by the empirical observation of reality; statements that would, by their nature, be regarded as untestable included the teleological; thus positivism rejects much of classical metaphysics.
4. The belief that science is markedly cumulative;
5. The belief that science is predominantly transcultural;
6. The belief that science rests on specific results that are dissociated from the personality and social position of the investigator;
7. The belief that science contains theories or research traditions that are largely commensurable;
8. The belief that science sometimes incorporates new ideas that are discontinuous from old ones;
9. The belief that science involves the idea of the unity of science, that there is, underlying the various scientific disciplines, basically one science about one real world.

Positivism is elsewhere defined as "the view that all true knowledge is scientific,"^[29] and that all things are ultimately measurable. Positivism is closely related to reductionism, in that both involve the view that "entities of one kind... are reducible to entities of another,"^[29] such as societies to configurations of individuals, or mental events to neural phenomena. It also involves the contention that "processes are reducible to physiological, physical or chemical events,"^[29] and even that "social processes are reducible to relationships between and actions of individuals,"^[29] or that "biological organisms are reducible to physical systems."^[29]

While most social scientists today are not explicit about their epistemological commitments, articles in top American sociology and political science journals generally follow a positivist logic of argument^[25][26]. It can be thus argued that "natural science and social science [research articles] can therefore be regarded with a good deal of confidence as members of the same genre"^[25].

Criticism

Historically, positivism has been criticized for its universalism, contending that all "processes are reducible to physiological, physical or chemical events,"^[29] "social processes are reducible to relationships between and actions of individuals,"^[29] and that "biological organisms are reducible to physical systems."^[29]

Max Horkheimer and other critical theorists criticized the classic formulation of positivism on two grounds. First, they claimed that it falsely represented human social action. The first criticism argued that positivism systematically failed to appreciate the extent to which the so-called social facts it yielded did not exist 'out there', in the objective world, but were themselves a product of socially and historically mediated human consciousness. Positivism ignored the role of the 'observer' in the constitution of social reality and thereby failed to consider the historical and social conditions affecting the representation of social ideas. Positivism falsely represented the object of study by reifying social reality as existing objectively and independently of those whose action and labor actually produced those conditions. Secondly, he argued, representation of social reality produced by positivism was inherently and artificially conservative, helping to support the status quo, rather than challenging it. This character may also explain the popularity of positivism in certain political circles. Horkheimer argued, in contrast, that critical theory possessed a reflexive element lacking in the positivistic traditional theory.

Few scholars today hold the views critiqued in Horkheimer's work. Since the time of his writing, critiques of positivism, especially from philosophy of science, have led to the development of postpositivism. This philosophy greatly relaxes the epistemological commitments of logical positivism and no longer asserts the separation of the knower and the known. Rather than dismissing the scientific project outright, postpositivists seek to transform and amend it, though the exact extent of their affinity for science varies vastly. For example, some postpositivists accept the critique that observation is always value-laden, but argue that the best values to adopt for sociological observation are those of science^[30]: skepticism, rigor and modesty. Just as some critical theorists see their position as a moral commitment egalitarian values, these postpositivists see their methods as driven by a moral commitment to these scientific values. Such scholars may see themselves as either positivists or antipositivists.

Positivism has also come under fire on religious and philosophical grounds, whose proponents assert that truth begins in sense experience, but does not end there. Positivism fails to prove that there are not abstract ideas, laws, and principles, beyond particular observable facts and relationships and necessary principles, or that we cannot know them. Nor does it prove that material and corporeal things constitute the whole order of existing beings, and that our knowledge is limited to them. According to positivism, our abstract concepts or general ideas are mere collective representations of the experimental order — for example, the idea of "man" is a kind of blended image of all the men observed in our experience. This runs contrary to a Platonic or Christian ideal, where an idea can be abstracted from any concrete determination, and may be applied identically to an indefinite number of objects of the same class. From the idea's perspective, the latter is more precise as collective images are more or less confused, become more so as the collection represented increases; an idea by definition remains always clear.

Echos of the "positivist" and "antipositivist" debate persist today, though this conflict is hard to define. Authors writing in different epistemological perspectives do not phrase their disagreements in the same terms and rarely actually speak directly to each other.^[31] To complicate the issues further, few practicing scholars explicitly state their epistemological commitments, and their epistemological position thus has to be guessed from other sources such as choice of methodology or theory. However, no perfect correspondence between these categories exists,^[32] and many scholars critiqued as "positivists" actually hold postpositivist views. One scholar has described this debate in terms of the social construction of the "other", with each side defining the other by what it is not rather than what it is, and then proceeding to attribute far greater homogeneity to their opponents than actually exists.^[31] Thus, it is better to understand this not as a debate but as two different arguments: the "antipositivist" articulation of a social meta-theory which includes a philosophical critique of scientism, and "positivist" development of a scientific research methodology for sociology with accompanying critiques of the reliability and validity of work that they see as violating such standards.

See also

In sociology

• Antipositivism
• Quantitative research
• Qualitative research
• Middle range theory (sociology)
• Philosophy of social science
• Social evolutionism

In philosophy

• Logical positivism
• Postpositivism
• Analytic philosophy
• A. J. Ayer
• Bertrand Russell
• Gödel's incompleteness theorems
• Vladimir Solovyov

Regional histories

• London Positivist Society
• Positivism in Poland

Other areas

• Legal positivism
• Scientific politics

Pejorative treatment

• Scientism
• The New Paul and Virginia

Notes

References

• Amory, Frederic."Euclides da Cunha and Brazilian Positivism", Luso-Brazilian Review. Vol. 36, No. 1 (Summer, 1999), pp. 87–94.
• Giddens, Anthony. Positivism and Sociology. Heinemann. London. 1974.
• LeGouis, Catherine. Positivism and Imagination: Scientism and Its Limits in Emile Hennequin, Wilhelm Scherer and Dmitril Pisarev. Bucknell University Press. London: 1997.
• Mill, John Stuart. August Comte and Positivism.
• Mises, Richard von. Positivism: A Study In Human Understanding. Harvard University Press. Cambridge; Massachusetts: 1951.
• Pickering, Mary. Auguste Comte: An Intellectual Biography. Cambridge University Press. Cambridge, England; 1993.
• Richard Rorty (1982) Consequences of Pragmatism
• Schunk, Dale H. Learning Theories: An Educational Perspective, 5th. Pearson, Merrill Prentice Hall. 1991, 1996, 2000, 2004, 2008.