- Argumentation theory
Argumentation theory, or argumentation, embraces the arts and sciences of civil debate,
dialogue, conversation, and persuasion; studying rules of inference, logic, and procedural rules in both artificial and real world settings. Argumentation is concerned primarily with reaching conclusions through logical reasoning, that is, claims based on premises. Although including debateand negotiationwhich are concerned with reaching mutually acceptable conclusions, argumentation theory also encompasses eristicdialog, the branch of social debate in which victory over an opponent is the primary goal. This art and science is often the means by which people protect their beliefs or self-interests in rational dialogue, in common parlance, and during the process of arguing. Argumentation is used in law, for example in trials, in preparing an argument to be presented to a court, and in testing the validityof certain kinds of evidence. Also, argumentation scholars study the post hoc rationalizations by which organizational actors try to justify decisions they have made irrationally.
Key components of argumentation
* Understanding and identifying arguments, either explicit or implied, and the goals of the participants in the different types of dialogue.
* Identifying the premises from which conclusions are derived
* Establishing the "
burden of proof" — determining who made the initial claim and is thus responsible for providing evidence why his/her position merits acceptance
* For the one carrying the "burden of proof", the advocate, to marshal
evidencefor his/her position in order to convince or force the opponent's acceptance. The method by which this is accomplished is producing valid, sound, and cogent arguments, devoid of weaknesses, and not easily attacked.
* In a debate, fulfillment of the burden of proof creates a burden of rejoinder. One must try to identify faulty reasoning in the opponent’s argument, to attack the reasons/premises of the argument, to provide counterexamples if possible, to identify any logical fallacies, and to show why a valid conclusion cannot be derived from the reasons provided for his/her argument.
Argumentation and the grounds of knowledge
Argumentation theory was once based upon
foundationalism, a theory of knowledge ( epistemology) in the field of philosophy. It sought to find the grounds for claims in the forms (logic) and materials (factual laws) of a universal system of knowledge. As argument scholars gradually rejected the idealismin Plato and Kant, and jettisoned with it the idea that argument premises take their soundness from formal philosophical systems, the field broadened. [ Bruce Gronbeck. "From Argument to Argumentation: Fifteen Years of Identity Crisis." Jack Rhodes and Sara Newell, ed.s "Proceedings of the Summer Conference on Argumentation". 1980. ] . Karl R. Wallace's seminal essay, "The Substance of Rhetoric: Good Reasons," "Quarterly Journal of Speech" (1963) 44, led many scholars to study "marketplace argumentation," that is the ordinary arguments of ordinary people. The seminal essay on marketplace argumentation is Anderson, Ray Lynn, and C. David Mortensen, "Logic and Marketplace Argumentation." "Quarterly Journal of Speech" 53 (1967): 143-150. [See Joseph W. Wenzel "Perspectives on Argument." Jack Rhodes and Sara Newell, ed.s Proceedings of the Summer Conference on Argumentation. 1980.] . [ David Zarefsky. "Product, Process, or Point of View? Jack Rhodes and Sara Newell, ed.s "Proceedings of the Summer Conference on Argumentation". 1980.] . This line of thinking led to a natural alliance with late developments in the sociology of knowledge. [ See Ray E. McKerrow. "Argument Communities: A Quest for Distinctions."] . Some scholars drew connections with recent developments in philosophy, namely the pragmatismof John Dewey and Richard Rorty. Rorty has called this shift in emphasis "the linguistic turn."
In this new hybrid approach argumentation is used with or without
empiricalevidence to establish convincing conclusions about issues which are moral, scientific, epistemic, or of a nature in which science alone cannot answer. Out of pragmatism and many intellectual developments in the humanities and social sciences, "non-philosophical" argumentation theories grew which located the formal and material grounds of arguments in particular intellectual fields. These theories include informal logic, social epistemology, ethnomethodology, speech acts, the sociology of knowledge, the sociology of science, and social psychology. These new theories are not non-logical or anti-logical. They find logical coherence in most communities of discourse. These theories are thus often labeled "sociological" in that they focus on the social grounds of knowledge.
Approaches to argumentation in communication and informal logic
In general, the label "argumentation" is used by communication scholars such as (to name only a few) Wayne E. Brockriede, Douglas Ehninger,
Joseph W. Wenzel, Richard Rieke, Gordon Mitchell, Carol Winkler, Eric Gander, Dennis S. Gouran, Daniel J. O'Keefe, Mark Aakhus, Bruce Gronbeck, James Klumpp, G. Thomas Goodnight, Robin Rowland, Dale Hample, C. Scott Jacobs, Sally Jackson, and Charles Arthur Willard) while the term "informal logic" is preferred by philosophers, stemming from University of Windsorphilosophers Ralph Johnson and J. Anthony Blair.
Douglas Walton, Michael Gilbert, Harvey Seigal, Michael Scriven, and John Woods (to name only a few) are other prominent authors in this tradition. Over the past thirty years, however, scholars from several disciplines have co-mingled at international conferences such as that hosted by the University of Amsterdam(the Netherlands) and the International Society for the Study of Argumentation(ISSA). Other international conferences are the biannual conference held at Alta, Utah sponsored by the (US) National Communication Associationand American Forensics Associationand conferences sponsored by the Ontario Society for the Study of Argumentation(OSSA).
Some scholars (such as
Ralph Johnson) construe the term "argument", narrowly, for instance as exclusively written discourse or even discourse in which all premises are explicit. Others (such as Michael Gilbert) construe the term "argument" broadly, to include spoken and even nonverbal discourse, for instance the degree to which a war memorial or propaganda poster can be said to argue or "make arguments." The philosopher Stephen E. Toulmin has said that an argument is a claim on our attention and belief, a view that would seem to authorize treating, say, propaganda posters as arguments. The dispute between broad and narrow theorists is of long standing and is unlikely to be settled. The views of the majority of argumentation theorists and analysts fall somewhere between these two extremes.
One rigorous modern version of
dialectichas been pioneered by scholars at the University of Amsterdamin the Netherlands, under the name of pragma-dialectics. The intuitive idea is to formulate clearcut rules that, if followed, will yield rational discussion and sound conclusions. Frans van Eemeren, the late Rob Grootendorst, and many of their students have produced a large body of work expounding this idea.
The dialectical conception of reasonableness is given by ten rules for critical discussion, all being instrumental for achieving a resolution of the difference of opinion (from Van Eemeren, Grootendorst, & Snoeck Henkemans, 2002, p. 182-183):
*Freedom rule. Parties must not prevent each other from advancing standpoints or from casting doubt on standpoints.
*Burden of proof rule. A party that advances a standpoint is obliged to defend it if asked by the other party to do so.
*Standpoint rule. A party’s attack on a standpoint must relate to the standpoint that has indeed been advanced by the other party.
*Relevance rule. A party may defend a standpoint only by advancing argumentation relating to that standpoint.
*Unexpressed premise rule. A party may not disown a premise that has been left implicit by that party, or falsely present something as a premise that has been left unexpressed by the other party.
*Starting point rule. A party may not falsely present a premise as an accepted starting point nor deny a premise representing an accepted starting point.
*Argument scheme rule. A party may not regard a standpoint as conclusively defended if the defense does not take place by means of an appropriate argumentation scheme that is correctly applied.
*Validity rule. A party may only use arguments in its argumentation that are logically valid or capable of being validated by making explicit one or more unexpressed premises
*Closure rule. A failed defense of a standpoint must result in the party that put forward the standpoint retracting it and a conclusive defense of the standpoint must result in the other party retracting its doubt about the standpoint.
*Usage rule. A party must not use formulations that are insufficiently clear or confusingly ambiguous and a party must interpret the other party’s formulations as carefully and accurately as possible.
The theory postulates this as an ideal model, and not something one expects to find as an empirical fact. It can however serve as an important heuristic and critical tool for testing how reality approximates this ideal and point to where discourse goes wrong, that is, when the rules are violated. Any such violation will constitute a fallacy. Albeit not primarily focused on fallacies, pragma-dialectics provides a systematic approach to deal with them in a coherent way.
Stephen E. Toulmin and Charles Arthur Willard have championed the idea of argument fields, the former drawing upon Ludwig Wittgenstein's notion of
language games, the latter drawing from communication and argumentation theory, sociology, political science, and social epistemology. For Toulmin, the term "field" designates discourses within which arguments and factual claims are grounded. [ Stephen E. Toulmin. "The uses of argument." 1959. ] For Willard, the term "field" is interchangeable with "community," "audience," or "readership." [ Charles Arthur Willard. "Some Questions About Toulmin's View of Argument Fields." Jack Rhodes and Sara Newell, eds. "Proceedings of the Summer Conference on Argumentation". 1980. "Field Theory: A Cartesian Meditation." George Ziegelmueller and Jack Rhodes, eds. "Dimensions of Argument: Proceedings of the Second Summer Conference on Argumentation." ] . Along similar lines, G. Thomas Goodnight has studied "spheres" of argument and sparked a large literature created by younger scholars responding to or using his ideas. [ G. T. Goodnight, "The Personal, Technical, and Public Spheres of Argument." "Journal of the American Forensics Association." (1982) 18:214-227. See also: http://en.wikipedia.org/wiki/Public_sphere] The general tenor of these field theories is that the premises of arguments take their meaning from social communities [ Bruce E. Gronbeck. "Sociocultural Notions of Argument Fields: A Primer." George Ziegelmueller and Jack Rhodes, eds. "Dimensions of Argument: Proceedings of the Second Summer Conference on Argumentation." (1981) 1-20. ]
Field studies might focus on social movements, issue-centered publics (for instance, pro-life versus pro-choice in the abortion dispute), small activist groups, corporate public relations campaigns and issue management, scientific communities and disputes, political campaigns, and intellectual traditions. [ Robert Rowland, "Purpose, Argument Fields, and Theoretical Justification." "Argumentation." vol. 22 Number 2 (2008) 235-250. ] In the manner of a sociologist, ethnographer, anthropologist, participant-observer, and journalist, the field theorist gathers and reports on real-world human discourses, gathering case studies that might eventually be combined to produce high-order explanations of argumentation processes. This is not a quest for some master language or master theory covering all specifics of human activity. Field theorists are agnostic about the possibility of a single grand theory and skeptical about the usefulness of such a theory. Theirs' is a more modest quest for "mid-range" theories that might permit generalizations about families of discourses.
=Stephen E. Toulmin's Contributions=
An Alternative to Absolutism and Relativism
Toulmin has argued that absolutism (represented by theoretical or analytic arguments) has limited practical value. Absolutism is derived from Plato’s idealized formal logic, which advocates universal truth; thus absolutists believe that moral issues can be resolved by adhering to a standard set of moral principles, regardless of context. By contrast, Toulmin asserts that many of these so-called standard principles are irrelevant to real situations encountered by human beings in daily life.
To describe his vision of daily life, Toulmin introduced the concept of argument fields; in "The Uses of Argument" (1958), Toulmin states that some aspects of arguments vary from field to field, and are hence called “field-dependent,” while other aspects of argument are the same throughout all fields, and are hence called “field-invariant.” The flaw of absolutism, Toulmin believes, lies in its unawareness of the field-dependent aspect of argument; absolutism assumes that all aspects of argument are field invariant.
Toulmin’s theories resolve to avoid the defects of absolutism without resorting to relativism: relativism, Toulmin asserted, provides no basis for distinguishing between a moral or immoral argument. In "Human Understanding" (1972), Toulmin suggests that anthropologists have been tempted to side with relativists because they have noticed the influence of cultural variations on rational arguments; in other words, the anthropologist or relativist overemphasizes the importance of the “field-dependent” aspect of arguments, and becomes unaware of the “field-invariant” elements. In an attempt to provide solutions to the problems of absolutism and relativism, Toulmin attempts throughout his work to develop standards that are neither absolutist nor relativist for assessing the worth of ideas.
Toulmin believes that a good argument can succeed in providing good justification to a claim, which will stand up to criticism and earn a favourable verdict.
Components of Argument
In "The Uses of Argument" (1958), Toulmin proposed a layout containing six interrelated components for analyzing arguments:
;1. Claim: Conclusions whose merit must be established. For example, if a person tries to convince a listener that he is a British citizen, the claim would be “I am a British citizen.” (1)
;2. Data: The facts we appeal to as a foundation for the claim. For example, the person introduced in 1 can support his claim with the supporting data “I was born in Bermuda.” (2)
;3. Warrant: The statement authorizing our movement from the data to the claim. In order to move from the data established in 2, “I was born in Bermuda,” to the claim in 1, “I am a British citizen,” the person must supply a warrant to bridge the gap between 1 & 2 with the statement “A man born in Bermuda will legally be a British Citizen.” (3)
;4. Backing: Credentials designed to certify the statement expressed in the warrant; backing must be introduced when the warrant itself is not convincing enough to the readers or the listeners. For example, if the listener does not deem the warrant in 3 as credible, the speaker will supply the legal provisions as backing statement to show that it is true that “A man born in Bermuda will legally be a British Citizen.”
;5. Rebuttal: Statements recognizing the restrictions to which the claim may legitimately be applied. The rebuttal is exemplified as follows, “A man born in Bermuda will legally be a British citizen, unless he has betrayed Britain and has become a spy of another country.”
;6. Qualifier: Words or phrases expressing the speaker’s degree of force or certainty concerning the claim. Such words or phrases include “possible,” “probably,” “impossible,” “certainly,” “presumably,” “as far as the evidence goes,” or “necessarily.” The claim “I am definitely a British citizen” has a greater degree of force than the claim “I am a British citizen, presumably.”
The first three elements “claim,” “data,” and “warrant” are considered as the essential components of practical arguments, while the second triad “qualifier,” “backing,” and “rebuttal” may not be needed in some arguments.
Application to Rhetoric
When first proposed, this layout of argumentation is based on legal arguments and intended to be used to analyze the rationality of arguments typically found in the courtroom; in fact, Toulmin did not realize that this layout would be applicable to the field of rhetoric and communication until his works were introduced to rhetoricians by Wayne Brockriede and Douglas Ehninger. Only after he published "Introduction to Reasoning" (1979) were the rhetorical applications of this layout mentioned in his works.
The Evolution of Knowledge
Toulmin's "Human Understanding" (1972) asserts that conceptual change is evolutionary. This book attacks Thomas Kuhn’s explanation of conceptual change in "The Structure of Scientific Revolutions." Kuhn held that conceptual change is a revolutionary (as opposed to an evolutionary) process in which mutually exclusive paradigms compete to replace one another. Toulmin criticizes the relativist elements in Kuhn’s thesis, as he points out that the mutually exclusive paradigms provide no ground for comparison; in other words, Kuhn’s thesis has made the relativists’ error of overemphasizing the “field variant” while ignoring the “field invariant,” or commonality shared by all argumentation or scientific paradigms.
Toulmin proposes an evolutionary model of conceptual change comparable to Darwin’s model of biological evolution. On this reasoning, conceptual change involves innovation and selection. Innovation accounts for the appearance of conceptual variations, while selection accounts for the survival and perpetuation of the soundest conceptions. Innovation occurs when the professionals of a particular discipline come to view things differently from their predecessors; selection subjects the innovative concepts to a process of debate and inquiry in what Toulmin considers as a “forum of competitions.” The soundest concepts will survive the forum of competition as replacements or revisions of the traditional conceptions.
From the absolutists’ point of view, concepts are either valid or invalid regardless of contexts; from a relativists’ perspective, one concept is neither better nor worse than a rival concept from a different cultural context. From Toulmin’s perspective, the evaluation depends on a process of comparison, which determines whether or not one concept will provide improvement to our explanatory power more so than its rival concepts.
Rejection of Certainty
In "Cosmopolis" (1990), Toulmin traces the Quest for Certainty back to Descartes and Hobbes, and lauds Dewey, Wittgenstein, Heidegger and Rorty for abandoning that tradition. Descartes lived in troubled, chaotic times (1596-1650).
= Artificial intelligence =
Argumentation is also a formal discipline within
artificial intelligencewhere the aim is to make a computer assist in or perform the act of argumentation. In addition, argumentation has been used to provide a proof-theoretic semantics for non-monotonic logic, starting with the influential work of Dung (1995). Computational argumentation systems have found particular application in domains where formal logic and classical decision theory are unable to capture the richness of reasoning, domains such as law and medicine.
Within Computer Science, the ArgMAS workshop series (Argumentation in Multi-Agent Systems), the CMNA workshop series. [ [http://www.cmna.info Computational Models of Natural Argument] ] and now the COMMA Conference, [ [http://www.csc.liv.ac.uk/~comma/ Computational Models of Argument] ] are regular annual events attracting participants from every continent.
= Internal structure of arguments =
Typically an argument has an internal structure, comprising of the following
#a set of assumptions or premises
#a method of reasoning or deduction and
#a conclusion or point.
An argument must have at least one premise and one conclusion.
Often classical logic is used as the method of reasoning so that the conclusion follows logically from the assumptions or support. One challenge is that if the set of assumptions is inconsistent then anything can follow logically from inconsistency. Therefore it is common to insist that the set of assumptions is consistent. It is also good practice to require the set of assumptions to be the minimal set, with respect to set inclusion, necessary to infer the consequent. Such arguments are called MINCON arguments, short for minimal consistent. Such argumentation has been applied to the fields of law and medicine. A second school of argumentation investigates abstract arguments, where 'argument' is considered a primitive term, so no internal structure of arguments is taken on account.
In its most common form, argumentation involves an individual and an interlocutor/or opponent engaged in dialogue, each contending differing positions and trying to persuade each other. Other types of dialogue in addition to persuasion are
eristic, informationseeking, inquiry, negotiation, deliberation, and the dialecticalmethod (Douglas Walton). The dialectical method was made famous by Platoand his use of Socratescritically questioning various characters and historical figures.
Psychologyhas long studied the non-logical aspects of argumentation. For example, studies have shown that simple repetition of an idea is often a more effective method of argumentation than appeals to reason. Propagandaoften utilizes repetition. [Jacques Ellul, "Propaganda", Vintage, 1973, ISBN 0394718747 ISBN-13: 978-0394718743.] Nazi rhetoric has been studied extensively as, inter alia, a repetition campaign.
Empirical studies of communicator credibility and attractiveness, sometimes labeled "charisma," have also been tied closely to empirically-occurring arguments. Such studies bring argumentation within the ambit of persuasion theory and practice.
Some psychologists such as William J. McGuire believe that the syllogism is the basic unit of human reasoning. They have produced a large body of empirical work around McGuire's famous title "A Syllogistic Analysis of Cognitive Relationships." A central thrust of this thinking is that logic is contaminated by psychological variables such as "wishful thinking," in which subjects confound the likelihood of predictions with the desirability of the predictions. People hear what they want to hear and see what they expect to see. If planners want something to happen they see it as likely to happen. Thus planners ignore possible problems, as in the American experiment with prohibition. If they hope something will not happen, they see it as unlikely to happen. Thus smokers think that they personally will avoid cancer. Promiscuous people practice unsafe sex. Teenagers drive recklessly.
=Kinds of argumentation=
The study of naturally-occurring conversation arose from the field of sociolinguistics. It is usually called "conversational analysis." Inspired by ethnomethodology, it was developed in the late 1960s and early 1970s principally by the sociologist Harvey Sacks and, among others, his close associates Emanuel Schegloff and Gail Jefferson. Sacks died early in his career, but his work was championed by others in his field, and CA has now become an established force in sociology, anthropology, linguistics, speech-communication and psychology. [ Psathas, George (1995): Conversation Analysis, Thousand Oaks: Sage Sacks, Harvey. (1995). Lectures on Conversation. Blackwell Publishing. ISBN 1-55786-705-4. Sacks, Harvey, Schegloff, Emanuel A., & Jefferson, Gail (1974). A simple systematic for the organization of turn-taking for conversation. Language, 50, 696-735. Schegloff, Emanuel A. (2007). Sequence Organization in Interaction: A Primer in Conversation Analysis, Volume 1, Cambridge: Cambridge University Press. Ten Have, Paul (1999): Doing Conversation Analysis. A Practical Guide, Thousand Oaks: Sage. ] It is particularly influential in interactional sociolinguistics, discourse analysis and discursive psychology, as well as being a coherent discipline in its own right. Recently CA techniques of sequential analysis have been employed by phoneticians to explore the fine phonetic details of speech.
Empirical studies and theoretical formulations by Sally Jackson and Scott Jacobs, and several generations of their students, have described argumentation as a form of managing conversational disagreement within communication contexts and systems that naturally prefer agreement.
The basis of mathematical truth has been the subject of long debate. Frege in particular sought to demonstrate (see Gottlob Frege, The Foundations of Arithemetic, 1884, and Logicism in Philosophy of mathematics) that arithmetical truths can be derived from purely logical axioms and therefore are, in the end, logical truths. The project was developed by Russell and Whitehead in their Principia Mathematica. If an argument can be cast in the form of sentences in Symbolic Logic, then it can be tested by the application of accepted proof procedures. This has been carried out for Arithmetic using Peano axioms. Be that as it may, an argument in Mathematics, as in any other discipline, can be considered valid just in case it can be shown to be of a form such that it cannot have true premises and a false conclusion.
Perhaps the most radical statement of the social grounds of scientific knowledge appears in Alan G.Gross "The Rhetoric of Science." Cambridge: Harvard University Press, 1990. Gross holds that science is rhetorical "without remainder," meaning that scientific knowledge itself cannot be seen as an idealized ground of knowledge. Scientific knowledge is produced rhetorically, meaning that it has special epistemic authority only insofar as its communal methods of verification are trustworthy. This thinking represents an almost complete rejection of the foundationalism on which argumentation was first based.
Legal arguments (or oral arguments) are spoken presentations to a judge or appellate court by a lawyer (or parties when representing themselves) of the legal reasons why they should prevail. Oral argument at the appellate level accompanies written briefs, which also advance the argument of each party in the legal dispute. A closing argument (or summation) is the concluding statement of each party's counsel (often called an attorney in the United States) reiterating the important arguments for the trier of fact, often the jury, in a court case. A closing argument occurs after the presentation of evidence.
Political arguments are used by academics, media pundits, candidates for political office and government officials. Political arguments are also used by citizens in ordinary interactions to comment about and understand political events. [ Michael McGee. "The 'Ideograph' as a Unit of Analysis in Political Argument." Jack Rhodes and Sara Newell, eds. Proceedings of the Summer Conference on Argumentation. 1980. ] . The rationality of the public is a major question in this line of research. A robust political science research tradition seems to prove that the American public is largely irrational and ignorant of even the most basic knowledge of national or world affairs. Political scientist S. Popkin coined the expression "low information voters" to describe most voters who know very little about politics or the world in general.
Some theorists have inferred from this that only comprehensively trained elites can debate public issues. They point as additional proof to the practice of academic debate in the United States, an activity almost exclusively involving children of the upper middle classes, future lawyers and graduate students, and not ordinary citizens.
= Further reading =
*"Argumentation and Advocacy" (formerly "Journal of the American Forensic Association")
* "Social Epistemology"
* "Episteme: a journal of social epistemology"
*Fourteen proceedings of the American Communication Association and the American Forensics Association Conferences on Argumentation at Alta, Utah.
*Six proceedings of the International Association for the Study of Argumentation (ISSA) conferences, Amsterdam, Holland.
*Six proceedings of the Ontario Society for the Study of Argumentation conferences, Ontario, Canada.
*Association for Informal Logic and Critical Thinking
*International Society for the Study of Argumentation (ISSA)
*American Forensics Association
Burden of proof
Essentially contested concepts
Pars destruens/pars construens
* Social Engineering (Political Science)
* Social Psychology (psychology)
Straight and Crooked Thinking(book)
*J. Robert Cox and Charles Arthur Willard, eds. "Advances in Argumentation Theory and Research" 1982.
*Dung, P. M. "On the acceptability of arguments and its fundamental role in nonmonotonic reasoning, logic programming and n-person games." "Artificial Intelligence," 77: 321-357 (1995).
*Bondarenko, A., Dung, P. M., Kowalski, R., and Toni, F. , "An abstract, argumentation-theoretic approach to default reasoning", "Artificial Intelligence" 93(1-2) 63-101 (1997).
*Dung, P. M., Kowalski, R., and Toni, F. "Dialectic proof procedures for assumption-based, admissible argumentation." "Artificial Intelligence." 170(2), 114-159 (2006).
*Frans van Eemeren, Rob Grootendorst, Sally Jackson, and Scott Jacobs, "Reconstructing Argumentative Discourse" 1993.
*Frans Van Eemeren & Rob Grootendorst. "A systematic theory of argumentation. The pragma-dialected approach." 2004.
*Eemeren, F.H. van, Grootendorst, R. & Snoeck Henkemans, F. et al (1996). "Fundamentels of Argumentation Theory. A Handbook of Historical Backgrounds and Contemporary Developments." Mahwah, NJ: Erlbaum.
* Richard H. Gaskins "Burdens of Proof in Modern Discourse." Yale University Press. 1993.
*Michael A. Gilbert "Coalescent Argumentation" 1997.
*Trudy Govier, "Problems in Argument Analysis and Evaluation." 1987.
*Dale Hample. (1979). "Predicting belief and belief change using a cognitive theory of argument and evidence." "Communication Monographs." 46, 142-146.
*Dale Hample. (1978). "Are attitudes arguable?" "Journal of Value Inquiry." 12, 311-312.
*Dale Hample. (1978). "Predicting immediate belief change and adherence to argument claims." "Communication Monographs," 45, 219-228.
*Dale Hample & Judy Hample. (1978). "Evidence credibility." "Debate Issues." 12, 4-5.
*Dale Hample. (1977). "Testing a model of value argument and evidence." "Communication Monographs." 14, 106-120.
*Dale Hample. (1977). "The Toulmin model and the syllogism." "Journal of the American Forensic Association." 14, 1-9.
*Trudy Govier, "A Practical Study of Argument"2nd ed. 1988.
*Sally Jackson and Scott Jacobs, "Structure of Conversational Argument: Pragmatic Bases for the Enthymeme." "The Quarterly Journal of Speech". LXVI, 251-265.
*Ralph. H. Johnson. "Manifest Rationality: A Pragmatic Theory of Argument." Lawrence Erlbaum, 2000.
*Ralph H. Johnson and J. Anthony Blair. "Logical Self-Defense", IDEA, 2006. First published, McGraw Hill Ryerson, Toronto, ON, 1997, 1983, 1993. Reprinted, McGraw Hill, New York, NY, 1994.
*Ralph Johnson. and Blair, J. Anthony (1987), "The Current State of Informal Logic", Informal Logic, 9(2–3), 147–151.
*Ralph H. Johnson. H. (1996). The rise of informal logic. Newport News, VA: Vale Press
*Ralph H. Johnson. (1999). The relation between formal and informal logic. Argumentation, 13(3) 265-74.
*Ralph H. Johnson. & Blair, J. A. (1977). "Logical self-defense." Toronto: McGraw-Hill Ryerson. US Edition. (2006). New York: Idebate Press.
*Ralph H. Johnson. & Blair, J. Anthony. (1987). The current state of informal logic. Informal Logic 9, 147-51.
*Ralph H. Johnson. & Blair, J. Anthony. (1996). Informal logic and critical thinking. In F. van Eemeren, R. Grootendorst, & F. Snoeck Henkemans (Eds.), "Fundamentals of Argumentation Theory." (pp. 383-86). Mahwah, NJ: Lawrence Erlbaum Associates
*Ralph H. Johnson, Ralph. H. & Blair, J. Anthony. (2000). "Informal logic: An overview." "Informal Logic." 20(2): 93-99.
*Ralph H. Johnson, Ralph. H. & Blair, J. Anthony. (2002). Informal logic and the reconfiguration of logic. In D. Gabbay, R. H. Johnson, H.-J. Ohlbach and J. Woods (Eds.). "Handbook of the logic of argument and inference: The turn towards the practical." (pp.339-396). Elsivier: North Holland.
Chaim Perelmanand Lucie Olbrechts-Tyteca, "The New Rhetoric", Notre Dame, 1970.
Stephen Toulmin. "The uses of argument". 1959.
Stephen Toulmin. "The Place of Reason in Ethics." 1964.
Stephen Toulmin. "Human Understanding: The Collective Use and Evolution of Concepts." 1972.
Stephen Toulmin. "Cosmopolis." 1993.
* Douglas N. Walton, "The Place of Emotion in Argument". 1992.
Joseph W. Wenzel1990 Three perspectives on argumentation. In R Trapp and J Scheutz, (Eds.), "Perspectives on argumentation: Essays in honour of Wayne Brockreide." 9-26 Waveland Press: Propsect Heights, IL
*John Woods. (1980). What is informal logic? In J.A. Blair & R. H. Johnson (Eds.), "Informal Logic: The First International Symposium ."(pp. 57-68). Point Reyes, CA: Edgepress.
*John Woods. (2000). How Philosophical is Informal Logic? "Informal Logic." 20(2): 139-167. 2000
Charles Arthur Willard"Liberalism and the Problem of Knowledge: A New Rhetoric for Modern Democracy." University of Chicago Press. 1996.
Charles Arthur Willard, "A Theory of Argumentation". University of Alabama Press. 1989.
Charles Arthur Willard, "Argumentation and the Social Grounds of Knowledge"University of Alabama Press. 1982.
* Harald Wohlrapp. "Der Begriff des Arguments. Über die Beziehungen zwischen Wissen, Forschen, Glaube, Subjektivität und Vernunft". Würzburg: Königshausen u. Neumann, 2008 ISBN 978-3-8260-3820-4
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Computability theory — For the concept of computability, see Computability. Computability theory, also called recursion theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown … Wikipedia
Constructive set theory — is an approach to mathematical constructivism following the program of axiomatic set theory. That is, it uses the usual first order language of classical set theory, and although of course the logic is constructive, there is no explicit use of… … Wikipedia
Class (set theory) — In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) which can be unambiguously defined by a property that all its members share. The precise definition of class… … Wikipedia
Complete theory — In mathematical logic, a theory is complete if it is a maximal consistent set of sentences, i.e., if it is consistent, and none of its proper extensions is consistent. For theories in logics which contain classical propositional logic, this is… … Wikipedia