Extracted and modified from ikipedia under CC-BY-SA 3.0
Dialectic or dialectics (Greek: διαλεκτική, dialektikḗ; related to dialogue), also known as the dialectical method, is at base a discourse between two or more people holding different points of view about a subject but wishing to establish the truth through reasoned methods of argumentation. Dialectic resembles debate, but the concept excludes subjective elements such as emotional appeal and the modern pejorative sense of rhetoric.   Dialectic may thus be contrasted with both the eristic, which refers to argument that aims to successfully dispute another's argument (rather than searching for truth), or the didactic method, wherein one side of the conversation teaches the other. Dialectic is alternatively known as minor logic, as opposed to major logic or critique.
Within Hegelianism, the word dialectic has the specialised meaning of a contradiction between ideas that serves as the determining factor in their relationship. Dialectic comprises three stages of development: first, the thesis, a statement of an idea; second, the antithesis, a reaction that contradicts or negates the thesis; and third, the synthesis, a statement through which the differences between the two points are resolved. Dialectical materialism, a theory or set of theories produced mainly by Karl Marx and Friedrich Engels, adapted the Hegelian dialectic into arguments regarding traditional materialism.
Dialectic tends to imply a process of evolution and so does not naturally fit within formal logic (see Logic and dialectic). This process is particularly marked in Hegelian dialectic, and even more so in Marxist dialectic, which may rely on the evolution of ideas over longer time periods in the real world; dialectical logic attempts to address this.
There are a variety of meanings of dialectic or dialectics within Western philosophy.
In classical philosophy, dialectic (διαλεκτική) is a form of reasoning based upon dialogue of arguments and counter-arguments, advocating propositions (theses) and counter-propositions (antitheses). The outcome of such a dialectic might be the refutation of a relevant proposition, or of a synthesis, or a combination of the opposing assertions, or a qualitative improvement of the dialogue.  
Moreover, the term "dialectic" owes much of its prestige to its role in the philosophies of Socrates and Plato, in the Greek Classical period (5th to 4th centuries BCE). Aristotle said that it was the pre-Socratic philosopher Zeno of Elea who invented dialectic, of which the dialogues of Plato are the examples of the Socratic dialectical method. 
According to Kant, however, the ancient Greeks used the word "dialectic" to signify the logic of false appearance or semblance. To the Ancients, "it was nothing but the logic of illusion. It was a sophistic art of giving to one's ignorance, indeed even to one's intentional tricks, the outward appearance of truth, by imitating the thorough, accurate method which logic always requires, and by using its topic as a cloak for every empty assertion." 
The Socratic dialogues are a particular form of dialectic known as the method of elenchus (literally, "refutation, scrutiny"  ) whereby a series of questions clarifies a more precise statement of a vague belief, logical consequences of that statement are explored, and a contradiction is discovered. The method is largely destructive, in that false belief is exposed  and only constructive in that this exposure may lead to further search for truth. The detection of error does not amount to a proof of the antithesis; for example, a contradiction in the consequences of a definition of piety does not provide a correct definition. The principal aim of Socratic activity may be to improve the soul of the interlocutors, by freeing them from unrecognized errors; or indeed, by teaching them the spirit of inquiry.
In common cases, Socrates used enthymemes as the foundation of his argument. 
For example, in the Euthyphro, Socrates asks Euthyphro to provide a definition of piety. Euthyphro replies that the pious is that which is loved by the gods. But, Socrates also has Euthyphro agreeing that the gods are quarrelsome and their quarrels, like human quarrels, concern objects of love or hatred. Therefore, Socrates reasons, at least one thing exists that certain gods love but other gods hate. Again, Euthyphro agrees. Socrates concludes that if Euthyphro's definition of piety is acceptable, then there must exist at least one thing that is both pious and impious (as it is both loved and hated by the gods)—which Euthyphro admits is absurd. Thus, Euthyphro is brought to a realization by this dialectical method that his definition of piety is not sufficiently meaningful.
For example, in Plato's Gorgias, dialectic occurs between Socrates, the Sophist Gorgias, and two men, Polus and Callicles. Because Socrates' ultimate goal was to reach true knowledge, he was even willing to change his own views in order to arrive at the truth. The fundamental goal of dialectic, in this instance, was to establish a precise definition of the subject (in this case, rhetoric) and with the use of argumentation and questioning, make the subject even more precise. In the Gorgias, Socrates reaches the truth by asking a series of questions and in return, receiving short, clear answers.
There is another interpretation of dialectic, suggested in The Republic, as a procedure that is both discursive and intuitive.  In Platonism and Neoplatonism, dialectic assumes an ontological and metaphysical role in that it becomes the process whereby the intellect passes from sensibles to intelligibles, rising from Idea to Idea until it finally grasps the supreme Idea, the First Principle which is the origin of all. The philosopher is consequently a "dialectician".  In this sense, dialectic is a process of enquiry that does away with hypotheses up to the First Principle (Republic, VII, 533 c-d). It slowly embraces the multiplicity in unity. Simon Blackburn writes that the dialectic in this sense is used to understand "the total process of enlightenment, whereby the philosopher is educated so as to achieve knowledge of the supreme good, the Form of the Good". 
Aristotle stresses that rhetoric is closely related to dialectic. He offers several formulas to describe this affinity between the two disciplines: first of all, rhetoric is said to be a “counterpart” (antistrophos) to dialectic (Rhet. I.1, 1354a1); (ii) it is also called an “outgrowth” (paraphues ti) of dialectic and the study of character (Rhet. I.2, 1356a25f.); finally, Aristotle says that rhetoric is part of dialectic and resembles it (Rhet. I.2, 1356a30f.). In saying that rhetoric is a counterpart to dialectic, Aristotle obviously alludes to Plato's Gorgias (464bff.), where rhetoric is ironically defined as a counterpart to cookery in the soul. Since, in this passage, Plato uses the word ‘antistrophos’ to designate an analogy, it is likely that Aristotle wants to express a kind of analogy too: what dialectic is for the (private or academic) practice of attacking and maintaining an argument, rhetoric is for the (public) practice of defending oneself or accusing an opponent. The analogy to dialectic has important implications for the status of rhetoric. Plato argued in his Gorgias that rhetoric cannot be an art (technê), since it is not related to a definite subject, while real arts are defined by their specific subjects, as e.g. medicine or shoemaking are defined by their products, i.e., health and shoes. 
Logic, which could be considered to include dialectic, was one of the three liberal arts taught in medieval universities as part of the trivium; the other elements were rhetoric and grammar.    
Based mainly on Aristotle, the first medieval philosopher to work on dialectics was Boethius (480–524).  After him, many scholastic philosophers also made use of dialectics in their works, such as Abelard,  William of Sherwood,  Garlandus Compotista,  Walter Burley, Roger Swyneshed, William of Ockham,  and Thomas Aquinas. 
This dialectic (a quaestio disputata) was formed as follows:
The concept of dialectics was given new life at the start of the 19th century by Georg Wilhelm Friedrich Hegel (following Johann Gottlieb Fichte), whose dialectical model of nature and of history made dialectic a fundamental aspect of the nature of reality (instead of regarding the contradictions into which dialectics leads as a sign of the sterility of the dialectical method, as the 18th-century philosopher Immanuel Kant tended to do in his Critique of Pure Reason).  
In the mid-19th century, the concept of dialectics was appropriated by Karl Marx (see, for example, Das Kapital, published in 1867) and Friedrich Engels and retooled in what they considered to be a nonidealistic manner. It would also become a crucial part of later representations of Marxism as a philosophy of dialectical materialism. These representations often contrasted dramatically  and led to vigorous debate among different Marxist groupings, leading some prominent Marxists to give up on the idea of dialectics completely. 
Hegelian dialectic, usually presented in a threefold manner, was stated by Heinrich Moritz Chalybäus  as comprising three dialectical stages of development: a thesis, giving rise to its reaction; an antithesis, which contradicts or negates the thesis; and the tension between the two being resolved by means of a synthesis. In more simplistic terms, one can consider it thus: problem → reaction → solution. Although this model is often named after Hegel, he never used that specific formulation. Hegel ascribed that terminology to Kant.  Carrying on Kant's work, Fichte greatly elaborated on the synthesis model and popularized it.
On the other hand, Hegel did use a three-valued logical model that is very similar to the antithesis model, but Hegel's most usual terms were: Abstract-Negative-Concrete. Hegel used this writing model as a backbone to accompany his points in many of his works. 
The formula, thesis-antithesis-synthesis, does not explain why the thesis requires an antithesis. However, the formula, abstract-negative-concrete, suggests a flaw, or perhaps an incompleteness, in any initial thesis—it is too abstract and lacks the negative of trial, error, and experience. For Hegel, the concrete, the synthesis, the absolute, must always pass through the phase of the negative, in the journey to completion, that is, mediation. This is the essence of what is popularly called Hegelian dialectics.
According to the German philosopher Walter Kaufmann:
Fichte introduced into German philosophy the three-step of thesis, antithesis, and synthesis, using these three terms. Schelling took up this terminology. Hegel did not. He never once used these three terms together to designate three stages in an argument or account in any of his books. And they do not help us understand his Phenomenology, his Logic, or his philosophy of history; they impede any open-minded comprehension of what he does by forcing it into a scheme which was available to him and which he deliberately spurned [...] The mechanical formalism [...] Hegel derides expressly and at some length in the preface to the Phenomenology.  
Kaufmann also cites Hegel's criticism of the triad model commonly misattributed to him, adding that "the only place where Hegel uses the three terms together occurs in his lectures on the history of philosophy, on the last page but one of the sections on Kant—where Hegel roundly reproaches Kant for having 'everywhere posited thesis, antithesis, synthesis'". 
To describe the activity of overcoming the negative, Hegel also often used the term Aufhebung, variously translated into English as "sublation" or "overcoming", to conceive of the working of the dialectic. Roughly, the term indicates preserving the useful portion of an idea, thing, society, etc., while moving beyond its limitations. (Jacques Derrida's preferred French translation of the term was relever.) 
In the Logic, for instance, Hegel describes a dialectic of existence: first, existence must be posited as pure Being (Sein); but pure Being, upon examination, is found to be indistinguishable from Nothing (Nichts). When it is realized that what is coming into being is, at the same time, also returning to nothing (in life, for example, one's living is also a dying), both Being and Nothing are united as Becoming. 
As in the Socratic dialectic, Hegel claimed to proceed by making implicit contradictions explicit: each stage of the process is the product of contradictions inherent or implicit in the preceding stage. For Hegel, the whole of history is one tremendous dialectic, major stages of which chart a progression from self-alienation as slavery to self-unification and realization as the rational constitutional state of free and equal citizens. The Hegelian dialectic cannot be mechanically applied for any chosen thesis. Critics argue that the selection of any antithesis, other than the logical negation of the thesis, is subjective. Then, if the logical negation is used as the antithesis, there is no rigorous way to derive a synthesis. In practice, when an antithesis is selected to suit the user's subjective purpose, the resulting "contradictions" are rhetorical, not logical, and the resulting synthesis is not rigorously defensible against a multitude of other possible syntheses. The problem with the Fichtean "thesis–antithesis–synthesis" model is that it implies that contradictions or negations come from outside of things. Hegel's point is that they are inherent in and internal to things. This conception of dialectics derives ultimately from Heraclitus.
Hegel stated that the purpose of dialectics is "to study things in their own being and movement and thus to demonstrate the finitude of the partial categories of understanding." 
One important dialectical principal for Hegel is the transition from quantity to quality, which he terms the Measure. The measure is the qualitative quantum, the quantum is the existence of quantity. 
The identity between quantity and quality, which is found in Measure, is at first only implicit, and not yet explicitly realised. In other words, these two categories, which unite in Measure, each claim an independent authority. On the one hand, the quantitative features of existence may be altered, without affecting its quality. On the other hand, this increase and diminution, immaterial though it be, has its limit, by exceeding which the quality suffers change. [...] But if the quantity present in measure exceeds a certain limit, the quality corresponding to it is also put in abeyance. This however is not a negation of quality altogether, but only of this definite quality, the place of which is at once occupied by another. This process of measure, which appears alternately as a mere change in quantity, and then as a sudden revulsion of quantity into quality, may be envisaged under the figure of a nodal (knotted) line. 
As an example, Hegel mentions the states of aggregation of water: "Thus the temperature of water is, in the first place, a point of no consequence in respect of its liquidity: still with the increase or diminution of the temperature of the liquid water, there comes a point where this state of cohesion suffers a qualitative change, and the water is converted into steam or ice".  As other examples Hegel mentions the reaching of a point where a single additional grain makes a heap of wheat; or where the bald tail is produced, if we continue plucking out single hairs.
Another important principle for Hegel is the negation of the negation, which he also terms Aufhebung (sublation): Something is only what it is in its relation to another, but by the negation of the negation this something incorporates the other into itself. The dialectical movement involves two moments that negate each other, something and its other. As a result of the negation of the negation, "something becomes its other; this other is itself something; therefore it likewise becomes an other, and so on ad infinitum".  Something in its passage into other only joins with itself, it is self-related.  In becoming there are two moments:  coming-to-be and ceasing-to-be: by sublation, i.e., negation of the negation, being passes over into nothing, it ceases to be, but something new shows up, is coming to be. What is sublated (aufgehoben) on the one hand ceases to be and is put to an end, but on the other hand it is preserved and maintained.  In dialectics, a totality transforms itself; it is self-related, then self-forgetful, relieving the original tension.
Marxist dialectic is a form of Hegelian dialectic which applies to the study of historical materialism. It purports to be a reflection of the real world created by man. Dialectic would thus be a robust method under which one could examine personal, social, and economic behaviors. Marxist dialectic is the core foundation of the philosophy of dialectical materialism, which forms the basis of the ideas behind historical materialism.
Karl Marx and Friedrich Engels, writing several decades after Hegel's death, proposed that Hegel's dialectic is too abstract:
The mystification which dialectic suffers in Hegel's hands, by no means prevents him from being the first to present its general form of working in a comprehensive and conscious manner. With him it is standing on its head. It must be turned right side up again, if you would discover the rational kernel within the mystical shell. 
In contradiction to Hegelian idealism, Marx presented his own dialectic method, which he claims to be "direct opposite" of Hegel's method:
My dialectic method is not only different from the Hegelian, but is its direct opposite. To Hegel, the life-process of the human brain, i.e. the process of thinking, which, under the name of 'the Idea', he even transforms into an independent subject, is the demiurgos of the real world, and the real world is only the external, phenomenal form of 'the Idea'. With me, on the contrary, the ideal is nothing else than the material world reflected by the human mind, and translated into forms of thought. 
In Marxism, the dialectical method of historical study became intertwined with historical materialism, the school of thought exemplified by the works of Marx, Engels, and Vladimir Lenin. In the USSR, under Joseph Stalin, Marxist dialectics became "diamat" (short for dialectical materialism), a theory emphasizing the primacy of the material way of life; social "praxis" over all forms of social consciousness; and the secondary, dependent character of the "ideal". The term "dialectical materialism" was coined by the 19th-century social theorist Joseph Dietzgen who used the theory to explain the nature of socialism and social development. The original populariser of Marxism in Russia, Georgi Plekhanov used the terms "dialectical materialism" and "historical materialism" interchangeably. For Lenin, the primary feature of Marx's "dialectical materialism" (Lenin's term) was its application of materialist philosophy to history and social sciences. Lenin's main input in the philosophy of dialectical materialism was his theory of reflection, which presented human consciousness as a dynamic reflection of the objective material world that fully shapes its contents and structure. Later, Stalin's works on the subject established a rigid and formalistic division of Marxist–Leninist theory in the dialectical materialism and historical materialism parts. While the first was supposed to be the key method and theory of the philosophy of nature, the second was the Soviet version of the philosophy of history.
A dialectical method was fundamental to Marxist politics, e.g., the works of Karl Korsch, Georg Lukács and certain members of the Frankfurt School. Soviet academics, notably Evald Ilyenkov and Zaid Orudzhev, continued pursuing unorthodox philosophic study of Marxist dialectics; likewise in the West, notably the philosopher Bertell Ollman at New York University.
Friedrich Engels proposed that Nature is dialectical, thus, in Anti-Dühring he said that the negation of negation is:
A very simple process, which is taking place everywhere and every day, which any child can understand as soon as it is stripped of the veil of mystery in which it was enveloped by the old idealist philosophy. 
In Dialectics of Nature, Engels said:
Probably the same gentlemen who up to now have decried the transformation of quantity into quality as mysticism and incomprehensible transcendentalism will now declare that it is indeed something quite self-evident, trivial, and commonplace, which they have long employed, and so they have been taught nothing new. But to have formulated for the first time in its universally valid form a general law of development of Nature, society, and thought, will always remain an act of historic importance. 
Marxist dialectics is exemplified in Das Kapital (Capital), which outlines two central theories: (i) surplus value and (ii) the materialist conception of history; Marx explains dialectical materialism:
In its rational form, it is a scandal and abomination to bourgeoisdom and its doctrinaire professors, because it includes in its comprehension an affirmative recognition of the existing state of things, at the same time, also, the recognition of the negation of that state, of its inevitable breaking up; because it regards every historically developed social form as in fluid movement, and therefore takes into account its transient nature not less than its momentary existence; because it lets nothing impose upon it, and is in its essence critical and revolutionary. 
Class struggle is the primary contradiction to be resolved by Marxist dialectics, because of its central role in the social and political lives of a society. Nonetheless, Marx and Marxists developed the concept of class struggle to comprehend the dialectical contradictions between mental and manual labor, and between town and country. Hence, philosophic contradiction is central to the development of dialectics – the progress from quantity to quality, the acceleration of gradual social change; the negation of the initial development of the status quo; the negation of that negation; and the high-level recurrence of features of the original status quo. In the USSR, Progress Publishers issued anthologies of dialectical materialism by Lenin, wherein he also quotes Marx and Engels:
As the most comprehensive and profound doctrine of development, and the richest in content, Hegelian dialectics was considered by Marx and Engels the greatest achievement of classical German philosophy.... "The great basic thought", Engels writes, "that the world is not to be comprehended as a complex of ready-made things, but as a complex of processes, in which the things, apparently stable no less than their mind images in our heads, the concepts, go through an uninterrupted change of coming into being and passing away... this great fundamental thought has, especially since the time of Hegel, so thoroughly permeated ordinary consciousness that, in its generality, it is now scarcely ever contradicted.But, to acknowledge this fundamental thought in words, and to apply it in reality in detail to each domain of investigation, are two different things.... For dialectical philosophy nothing is final, absolute, sacred. It reveals the transitory character of everything and in everything; nothing can endure before it, except the uninterrupted process of becoming and of passing away, of endless ascendancy from the lower to the higher. And dialectical philosophy, itself, is nothing more than the mere reflection of this process in the thinking brain." Thus, according to Marx, dialectics is "the science of the general laws of motion both of the external world and of human thought". 
Lenin describes his dialectical understanding of the concept of development:
A development that repeats, as it were, stages that have already been passed, but repeats them in a different way, on a higher basis ("the negation of the negation"), a development, so to speak, that proceeds in spirals, not in a straight line; a development by leaps, catastrophes, and revolutions; "breaks in continuity"; the transformation of quantity into quality; inner impulses towards development, imparted by the contradiction and conflict of the various forces and tendencies acting on a given body, or within a given phenomenon, or within a given society; the interdependence and the closest and indissoluble connection between all aspects of any phenomenon (history constantly revealing ever new aspects), a connection that provides a uniform, and universal process of motion, one that follows definite laws – these are some of the features of dialectics as a doctrine of development that is richer than the conventional one. 
An example of the influence of Marxist dialectic in the European tradition is Jean-Paul Sartre's 1960 book Critique of Dialectical Reason. Sartre stated:
Existentialism, like Marxism, addresses itself to experience in order to discover there concrete syntheses. It can conceive of these syntheses only within a moving, dialectical totalisation, which is nothing else but history or—from the strictly cultural point of view adopted here—'philosophy-becoming-the world'. 
Dialectical naturalism is a term coined by American philosopher Murray Bookchin to describe the philosophical underpinnings of the political program of social ecology. Dialectical naturalism explores the complex interrelationship between social problems, and the direct consequences they have on the ecological impact of human society. Bookchin offered dialectical naturalism as a contrast to what he saw as the "empyrean, basically antinaturalistic dialectical idealism" of Hegel, and "the wooden, often scientistic dialectical materialism of orthodox Marxists".
Bahá'í Faith doctrine advocates a form of dialectical science and religion. A dialectical relationship of harmony between religion and science is presented, wherein science and religion are described as complementary, mutually dependent, and indispensable knowledge systems.  Bahá'í scripture asserts that true science and true religion can never be in conflict. `Abdu'l-Bahá, the son of the founder of the religion, stated that religion without science is superstition and that science without religion is materialism. He also admonished that true religion must conform to the conclusions of science.    As a modern, globalist religion, the Bahá'í Faith defies simple categorisation into any of Western, Eastern, Northern, Southern, or other philosophical forms. Nevertheless the principled dialectical approach to harmony between science and religion is not unlike social ecology's implementation of dialectical naturalism to moderate the extremes of scientifically unverified idealisms with scientific insight.
Neo-orthodoxy, in Europe also known as theology of crisis and dialectical theology,   is an approach to theology in Protestantism that was developed in the aftermath of the First World War (1914–1918). It is characterized as a reaction against doctrines of 19th-century liberal theology and a more positive reevaluation of the teachings of the Reformation, much of which had been in decline (especially in western Europe) since the late 18th century.  It is primarily associated with two Swiss professors and pastors, Karl Barth  (1886–1968) and Emil Brunner (1899–1966),   even though Barth himself expressed his unease in the use of the term. 
In dialectical theology the difference and opposition between God and human beings is stressed in such a way that all human attempts at overcoming this opposition through moral, religious or philosophical idealism must be characterized as 'sin'. In the death of Christ humanity is negated and overcome, but this judgment also points forwards to the resurrection in which humanity is reestablished in Christ. For Barth this meant that only through God's 'no' to everything human can his 'yes' be perceived. Applied to traditional themes of Protestant theology, such as double predestination, this means that election and reprobation cannot be viewed as a quantitative limitation of God's action. Rather it must be seen as its "qualitative definition".  As Christ bore the rejection as well as the election of God for all humanity, every person is subject to both aspects of God's double predestination.
Dialectic prominently figured in Bernard Lonergan's philosophy, in his books Insight and Method in Theology. Michael Shute wrote about Longergan's use of dialectic in The Origins of Lonergan's Notion of the Dialectic of History. For Lonergan, dialectic is both individual and operative in community. Simply described, it is a dynamic process that results in something new:
For the sake of greater precision, let us say that a dialectic is a concrete unfolding of linked but opposed principles of change. Thus there will be a dialectic if (1) there is an aggregate of events of a determinate character, (2) the events may be traced to either or both of two principles, (3) the principles are opposed yet bound together, and (4) they are modified by the changes that successively result from them. 
Dialectic is one of the eight functional specialties Lonergan envisaged for theology to bring this discipline into the modern world. Lonergan believed that the lack of an agreed method among scholars had inhibited substantive agreement from being reached and progress from being made compared to the natural sciences. Karl Rahner, S.J., however, criticized Lonergan's theological method in a short article entitled "Some Critical Thoughts on 'Functional Specialties in Theology'" where he stated: "Lonergan's theological methodology seems to me to be so generic that it really fits every science, and hence is not the methodology of theology as such, but only a very general methodology of science." 
Karl Popper has attacked the dialectic repeatedly. In 1937, he wrote and delivered a paper entitled "What Is Dialectic?" in which he attacked the dialectical method for its willingness "to put up with contradictions".  Popper concluded the essay with these words: "The whole development of dialectic should be a warning against the dangers inherent in philosophical system-building. It should remind us that philosophy should not be made a basis for any sort of scientific system and that philosophers should be much more modest in their claims. One task which they can fulfill quite usefully is the study of the critical methods of science" (Ibid., p. 335).
In chapter 12 of volume 2 of The Open Society and Its Enemies (1944; 5th rev. ed., 1966), Popper unleashed a famous attack on Hegelian dialectics in which he held that Hegel's thought (unjustly in the view of some philosophers, such as Walter Kaufmann)  was to some degree responsible for facilitating the rise of fascism in Europe by encouraging and justifying irrationalism. In section 17 of his 1961 "addenda" to The Open Society, entitled "Facts, Standards and Truth: A Further Criticism of Relativism", Popper refused to moderate his criticism of the Hegelian dialectic, arguing that it "played a major role in the downfall of the liberal movement in Germany [...] by contributing to historicism and to an identification of might and right, encouraged totalitarian modes of thought. [...] [And] undermined and eventually lowered the traditional standards of intellectual responsibility and honesty". 
The philosopher of science and physicist Mario Bunge repeatedly criticized Hegelian and Marxian dialectics, calling them "fuzzy and remote from science"  and a "disastrous legacy".  He concluded: "The so-called laws of dialectics, such as formulated by Engels (1940, 1954) and Lenin (1947, 1981), are false insofar as they are intelligible." 
Since the late 20th century, European and American logicians have attempted to provide mathematical foundations for dialectical logic or argument.  :201–372 There had been pre-formal and partially-formal treatises on argument and dialectic, from authors such as Stephen Toulmin (The Uses of Argument),  :203–256 Nicholas Rescher (Dialectics),  :330–336 and van Eemeren and Grootendorst (pragma-dialectics).  :517–614 One can include the communities of informal logic and paraconsistent logic.  :373–424 However, building on theories of defeasible reasoning (see John L. Pollock), systems have been built that define well-formedness of arguments, rules governing the process of introducing arguments based on fixed assumptions, and rules for shifting burden. Many of these logics appear in the special area of artificial intelligence and law, though the computer scientists' interest in formalizing dialectic originates in a desire to build decision support and computer-supported cooperative work systems. 
- see Gorgias, 449B: "Socrates: Would you be willing then, Gorgias, to continue the discussion as we are now doing [Dialectic] , by way of question and answer, and to put off to another occasion the (emotional) speeches [Rhetoric] that [the Sophist] Polus began?" ^
- Corbett, Edward P. J.; Robert J. Connors (1999). Classical Rhetoric For the Modern Student (4th ed.). New York: Oxford University Press. pp. 1, 18. ISBN 9780195115420. ^
- Ayer, A. J., & O'Grady, J. (1992). A Dictionary of Philosophical Quotations. Oxford, UK: Blackwell Publishers. p. 484. ^
- McTaggart, J. M. E. (1964). A commentary on Hegel's logic. New York: Russell & Russell. p. 11 ^
- Diogenes Laërtius, IX 25ff and VIII 57. ^
- Critique of Pure Reason, A 61 ^
- "Elenchus - Wiktionary". ^
- https://open.conted.ox.ac.uk/sites/open.conted.ox.ac.uk/files/resources/Create Document/PLA_HO3_0.pdf ^
- Popper, K. (1962) The Open Society and its Enemies, Volume 1, London, Routledge, p. 133. ^
- Reale, Giovanni. (1990), History of Ancient Philosophy, 5 vols, trans. by John R. Catan, Albany: State University of New York, vol 2, p. 150 ^
- Blackburn, Simon. 1996. The Oxford Dictionary of Philosophy. Oxford: Oxford ^
- Rapp (2010). Aristotle's Rhetoric. Retrieved from http://plato.stanford.edu/entries/aristotle-rhetoric/ ^
- Abelson, P. (1965). The seven liberal arts; a study in mediæval culture. New York: Russell & Russell. Page 82. ^
- Hyman, A., & Walsh, J. J. (1983). Philosophy in the Middle Ages: the Christian, Islamic, and Jewish traditions. Indianapolis: Hackett Pub. Co. Page 164. ^
- Adler, Mortimer Jerome (2000). "Dialectic". Routledge. Page 4. ISBN 0-415-22550-7 ^
- Herbermann, C. G. (1913). The Catholic encyclopedia: an international work of reference on the constitution, doctrine, and history of the Catholic church. New York: The Encyclopedia press, inc. Page 760–764. ^
- From topic to tale: logic and narrativity in the Middle Ages, by Eugene Vance, p.43-45 ^
- "Catholic Encyclopedia: Peter Abelard". Newadvent.org. 1907-03-01. Retrieved 2011-11-03. ^
- William of Sherwood's Introduction to logic, by Norman Kretzmann, p.69-102 ^
- A History of Twelfth-Century Western Philosophy, by Peter Dronke, p.198 ^
- Medieval literary politics: shapes of ideology, by Sheila Delany, p.11 ^
- "Catholic Encyclopedia: St. Thomas Aquinas". Newadvent.org. 1907-03-01. Retrieved 2015-10-20. ^
- Nicholson, J. A. (1950). Philosophy of religion. New York: Ronald Press Co. Page 108. ^
- Kant, I., Guyer, P., & Wood, A. W. (2003). Critique of pure reason. Cambridge: Cambridge University Press. Page 495. ^
- Henri Lefebvre's "humanist" dialectical materialism (Dialectical Materialism  ) was composed to directly challenge Joseph Stalin's own dogmatic text on dialectical materialism. ^
- See for example the work of Louis Althusser in France and Galvano Della Volpe in Italy in the mid-20th century. ^
- Historische Entwicklung der spekulativen Philosophie von Kant bis Hegel, Dresden-Leipzig (1837), p. 367 of the fourth edition (1848). ^
- The Accessible Hegel by Michael Allen Fox. Prometheus Books. 2005. p. 43. Also see Hegel's preface to the Phenomenology of Spirit, trans. A. V. Miller (Oxford: Clarendon Press, 1977), secs. 50, 51, pp. 29, 30. ^
- See for a discussion of the historical development of the triad. Charles Edward Andrew Lincoln IV, Hegelian Dialectical Analysis of U.S. Voting Laws, 42 U. Dayton L. Rev. 87 (2017). ^
- Hegel: A Reinterpretation, 1966, Anchor Books, p. 154) ^
- G. E. Mueller (June 1958), "The Hegel Legend of 'Thesis-Antithesis-Synthesis", 166ff ^
- Hegel, Werke, ed. Glockner, XIX, 610 ^
- See 'La différance' in: Margins of Philosophy. Alan Bass, translator. University of Chicago Books. 1982. p. 19, fn 23. ^
- Hegel. "Section in question from Hegel's Science of Logic". Marxists.org. Retrieved 2011-11-03. ^
- Hegel, Georg Wilhelm Friedrich. 1874. The Logic. Encyclopaedia of the Philosophical Sciences. 2nd Edition. London: Oxford University Press. Note to §81 ^
- Hegel, Georg Wilhelm Friedrich. 1874. The Logic. Encyclopaedia of the Philosophical Sciences. 2nd Edition. London: Oxford University Press. §§107–111 ^
- Hegel, Georg Wilhelm Friedrich. 1874. The Logic. Encyclopaedia of the Philosophical Sciences. 2nd Edition. London: Oxford University Press. §§108–109 ^
- Hegel, Georg Wilhelm Friedrich. 1874. The Logic. Encyclopaedia of the Philosophical Sciences. 2nd Edition. London: Oxford University Press. §108 ^
- Hegel, Georg Wilhelm Friedrich. 1874. The Logic. Encyclopaedia of the Philosophical Sciences. 2nd Edition. London: Oxford University Press. §93 ^
- Hegel, Georg Wilhelm Friedrich. 1874. The Logic. Encyclopaedia of the Philosophical Sciences. 2nd Edition. London: Oxford University Press. §95 ^
- Hegel, Georg Wilhelm Friedrich. 1812. Hegel's Science of Logic. London. Allen & Unwin. §§176–179. ^
- Hegel, Georg Wilhelm Friedrich. 1812. Hegel's Science of Logic. London. Allen & Unwin. §185. ^
- Marx, Karl (1873) Capital Afterword to the Second German Edition, Vol. I  ^
- Marx, Karl. "Afterword (Second German Ed.)". Capital. 1: 14. Retrieved 28 December 2014. ^
- Engels, Frederick, (1877) Anti-Dühring,Part I: Philosophy, XIII. Dialectics. Negation of the Negation.  ^
- "Engels, Frederick, (1883) Dialectics of Nature:II. Dialectics". Marxists.org. Retrieved 2011-11-03. ^
- Marx, Karl, (1873) Capital Vol. I, Afterword to the Second German Edition.  ^
- Lenin, V. I., On the Question of Dialectics: A Collection, pp. 7–9. Progress Publishers, Moscow, 1980. ^
- Jean-Paul Sartre. "The Search for Method (1st part) Sartre, 1960, in Existentialism from Dostoyevsky to Sartre, transl. Hazel Barnes, Vintage Books". Marxists.org. Retrieved 2011-11-03. ^
- Research Department of the Universal House of Justice (August 2020). "Social Action". Bahá’í Reference Library. Coherence Between the Material and Spiritual Dimensions of Existence. Retrieved 2020-08-30. ^
- Hatcher, William (September 1979). "Science and the Bahá'í Faith". Zygon. 14 (3): 229–53. doi:10.1111/j.1467-9744.1979.tb00359.x. ^
- Smith, P. (1999). A Concise Encyclopedia of the Bahá'í Faith. Oxford, UK: Oneworld Publications. pp. 306–07. ISBN 978-1-85168-184-6. ^
- Mehanian, Courosh; Friberg, Stephen R. (2003). "Religion and Evolution Reconciled: 'Abdu'l-Bahá's Comments on Evolution". The Journal of Bahá'í Studies. 13 (1–4): 55–93. doi:10.31581/JBS-13.1-4.3(2003). ^
- "Original Britinnica online". Retrieved 2008-07-26. ^
- "Britannica Encyclopedia (online)". Retrieved 2008-07-26. ^
- "Merriam-Webster Dictionary(online)". Retrieved 2008-07-26. ^
- "American Heritage Dictionary (online)". Archived from the original on 2005-05-10. Retrieved 2008-07-26. ^
- See Church Dogmatics III/3, xii. ^
- Karl Barth, The Epistle to the Romans (1933), p. 346 ^
- Bernard J.F. Lonergan, Insight: A Study of Human Understanding, Collected Works vol. 3, ed. Frederick E. Crowe and Robert M. Doran (Toronto: University of Toronto, 1992, pp.217-218). ^
- McShane, S.J., Philip (1972). Foundations of Theology. Notre Dame, Indiana: University of Notre Dame Press. p. 194. ^
- Karl Popper,Conjectures and Refutations: The Growth of Scientific Knowledge [New York: Basic Books, 1962] , p. 316. ^
- Walter Kaufmann. "kaufmann". Marxists.org. Retrieved 2011-11-03. ^
- Karl Popper,The Open Society and Its Enemies, 5th rev. ed., vol. 2 [Princeton: Princeton University Press, 1966] , p. 395 ^
- Bunge, Mario Augusto (1981). "A critique of dialectics". Scientific materialism. Episteme. 9. Dordrecht; Boston: Kluwer Academic Publishers. pp. 41–63. doi:10.1007/978-94-009-8517-9_4. ISBN 978-9027713049. OCLC 7596139. ^
- Bunge, Mario Augusto (2012). Evaluating philosophies. Boston studies in the philosophy of science. 295. New York: Springer-Verlag. pp. 84–85. doi:10.1007/978-94-007-4408-0. ISBN 9789400744073. OCLC 806947226. ^
- Eemeren, Frans H. van; Garssen, Bart; Krabbe, Erik C. W.; Snoeck Henkemans, A. Francisca; Verheij, Bart; Wagemans, Jean H. M. (2014). Handbook of argumentation theory. New York: Springer-Verlag. doi:10.1007/978-90-481-9473-5. ISBN 9789048194728. OCLC 871004444. ^
- For surveys of work in this area see, for example: Chesñevar, Carlos Iván; Maguitman, Ana Gabriela; Loui, Ronald Prescott (December 2000). "Logical models of argument". ACM Computing Surveys. 32 (4): 337–383. CiteSeerX 10.1.1.702.8325. doi:10.1145/371578.371581. And: Prakken, Henry; Vreeswijk, Gerard (2005). "Logics for defeasible argumentation". In Gabbay, Dov M.; Guenthner, Franz (eds.). Handbook of philosophical logic. 4 (2nd ed.). Dordrecht; Boston: Kluwer Academic Publishers. CiteSeerX 10.1.1.295.2649. doi:10.1007/978-94-017-0456-4_3. ISBN 9789048158775. ^