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Argument

An argument is a series of sentences, statements, or propositions some of which are called premises and one is the conclusion.[1] The purpose of an argument is to give reasons for one's conclusion via justification, explanation, and/or persuasion.

This article is about the subject as it is studied in logic and philosophy. For other uses, see Argument (disambiguation).

Arguments are intended to determine or show the degree of truth or acceptability of another statement called a conclusion.[2][3] The process of crafting or delivering arguments, argumentation, can be studied from three main perspectives: the logical, the dialectical and the rhetorical perspective.[4]


In logic, an argument is usually expressed not in natural language but in a symbolic formal language, and it can be defined as any group of propositions of which one is claimed to follow from the others through deductively valid inferences that preserve truth from the premises to the conclusion. This logical perspective on argument is relevant for scientific fields such as mathematics and computer science. Logic is the study of the forms of reasoning in arguments and the development of standards and criteria to evaluate arguments.[5] Deductive arguments can be valid, and the valid ones can be sound: in a valid argument, premises necessitate the conclusion, even if one or more of the premises is false and the conclusion is false; in a sound argument, true premises necessitate a true conclusion. Inductive arguments, by contrast, can have different degrees of logical strength: the stronger or more cogent the argument, the greater the probability that the conclusion is true, the weaker the argument, the lesser that probability.[6] The standards for evaluating non-deductive arguments may rest on different or additional criteria than truth—for example, the persuasiveness of so-called "indispensability claims" in transcendental arguments,[7] the quality of hypotheses in retroduction, or even the disclosure of new possibilities for thinking and acting.[8]


In dialectics, and also in a more colloquial sense, an argument can be conceived as a social and verbal means of trying to resolve, or at least contend with, a conflict or difference of opinion that has arisen or exists between two or more parties.[9] For the rhetorical perspective, the argument is constitutively linked with the context, in particular with the time and place in which the argument is located. From this perspective, the argument is evaluated not just by two parties (as in a dialectical approach) but also by an audience.[10] In both dialectic and rhetoric, arguments are used not through formal but through natural language. Since classical antiquity, philosophers and rhetoricians have developed lists of argument types in which premises and conclusions are connected in informal and defeasible ways.[11]

Etymology[edit]

The Latin root arguere (to make bright, enlighten, make known, prove, etc.) is from Proto-Indo-European argu-yo-, suffixed form of arg- (to shine; white).[12]

All Greeks are human and all humans are mortal; therefore, all Greeks are mortal. : Valid argument; if the premises are true the conclusion must be true.

Some Greeks are logicians and some logicians are tiresome; therefore, some Greeks are tiresome. Invalid argument: the tiresome logicians might all be Romans (for example).

Either we are all doomed or we are all saved; we are not all saved; therefore, we are all doomed. Valid argument; the premises entail the conclusion. (This does not mean the conclusion has to be true; it is only true if the premises are true, which they may not be!)

Some men are hawkers. Some hawkers are rich. Therefore, some men are rich.

By analogy[edit]

Argument by analogy may be thought of as argument from the particular to particular. An argument by analogy may use a particular truth in a premise to argue towards a similar particular truth in the conclusion. For example, if A. Plato was mortal, and B. Socrates was like Plato in other respects, then asserting that C. Socrates was mortal is an example of argument by analogy because the reasoning employed in it proceeds from a particular truth in a premise (Plato was mortal) to a similar particular truth in the conclusion, namely that Socrates was mortal.

People often are not themselves clear on whether they are arguing for or explaining something.

The same types of words and phrases are used in presenting explanations and arguments.

The terms 'explain' or 'explanation,' et cetera are frequently used in arguments.

Explanations are often used within arguments and presented so as to serve as arguments.

[20]

Likewise, "... arguments are essential to the process of justifying the validity of any explanation as there are often multiple explanations for any given phenomenon."

[19]

While arguments attempt to show that something was, is, will be, or should be the case, explanations try to show why or how something is or will be. If Fred and Joe address the issue of whether or not Fred's cat has fleas, Joe may state: "Fred, your cat has fleas. Observe, the cat is scratching right now." Joe has made an argument that the cat has fleas. However, if Joe asks Fred, "Why is your cat scratching itself?" the explanation, "... because it has fleas." provides understanding.


Both the above argument and explanation require knowing the generalities that a) fleas often cause itching, and b) that one often scratches to relieve itching. The difference is in the intent: an argument attempts to settle whether or not some claim is true, and an explanation attempts to provide understanding of the event. Note, that by subsuming the specific event (of Fred's cat scratching) as an instance of the general rule that "animals scratch themselves when they have fleas", Joe will no longer wonder why Fred's cat is scratching itself. Arguments address problems of belief, explanations address problems of understanding. In the argument above, the statement, "Fred's cat has fleas" is up for debate (i.e. is a claim), but in the explanation, the statement, "Fred's cat has fleas" is assumed to be true (unquestioned at this time) and just needs explaining.[19]


Arguments and explanations largely resemble each other in rhetorical use. This is the cause of much difficulty in thinking critically about claims. There are several reasons for this difficulty.


Explanations and arguments are often studied in the field of information systems to help explain user acceptance of knowledge-based systems. Certain argument types may fit better with personality traits to enhance acceptance by individuals.[21]

Elliptical or ethymematic arguments[edit]

Often an argument is invalid or weak because there is a missing premise—the supply of which would make it valid or strong. This is referred to as an elliptical or enthymematic argument (see also Enthymeme § Syllogism with an unstated premise). Speakers and writers will often leave out a necessary premise in their reasoning if it is widely accepted and the writer does not wish to state the blindingly obvious. Example: All metals expand when heated, therefore iron will expand when heated. The missing premise is: Iron is a metal. On the other hand, a seemingly valid argument may be found to lack a premise—a "hidden assumption"—which, if highlighted, can show a fault in reasoning. Example: A witness reasoned: Nobody came out the front door except the milkman; therefore the murderer must have left by the back door. The hidden assumptions are: (1) the milkman was not the murderer and (2) the murderer has left (3) by a door and (4) not by e.g. a window or through an 'ole in 't roof and (5) there are no other doors than the front or back door.

Shaw, Warren Choate (1922). . Allyn and Bacon. p. 74. argument by analogy.

The Art of Debate

Epistemology, Routledge, 1998. Particularly relevant is Chapter 6, which explores the relationship between knowledge, inference and argument.

Robert Audi

J. L. Austin , Oxford University Press, 1976.

How to Do Things With Words

H. P. Grice, Logic and Conversation in The Logic of Grammar, Dickenson, 1975.

Thought 2 Talk: A Crash Course in Reflection and Expression, New York: Automatic Press / VIP, 2005, ISBN 87-991013-7-8

Vincent F. Hendricks

R. A. DeMillo, R. J. Lipton and A. J. Perlis, , Communications of the ACM, Vol. 22, No. 5, 1979. A classic article on the social process of acceptance of proofs in mathematics.

Social Processes and Proofs of Theorems and Programs

A Course in Mathematical Logic, Springer Verlag, 1977. A mathematical view of logic. This book is different from most books on mathematical logic in that it emphasizes the mathematics of logic, as opposed to the formal structure of logic.

Yu. Manin

and L. Olbrechts-Tyteca, The New Rhetoric, Notre Dame, 1970. This classic was originally published in French in 1958.

Ch. Perelman

Science and Hypothesis, Dover Publications, 1952

Henri Poincaré

Frans van Eemeren and , Speech Acts in Argumentative Discussions, Foris Publications, 1984.

Rob Grootendorst

Objective Knowledge; An Evolutionary Approach, Oxford: Clarendon Press, 1972.

K. R. Popper

A Modern Introduction to Logic, Methuen and Co., 1948. An account of logic that covers the classic topics of logic and argument while carefully considering modern developments in logic.

L. S. Stebbing

Informal Logic: A Handbook for Critical Argumentation, Cambridge, 1998.

Douglas N. Walton

Walton, Douglas; Christopher Reed; Fabrizio Macagno, Argumentation Schemes, New York: Cambridge University Press, 2008.

Carlos Chesñevar, Ana Maguitman and , Logical Models of Argument, ACM Computing Surveys, vol. 32, num. 4, pp. 337–383, 2000.

Ronald Loui

. Attacking Faulty Reasoning, 5th Edition, Wadsworth, 2005. ISBN 0-534-60516-8

T. Edward Damer

Charles Arthur Willard, A Theory of Argumentation. 1989.

Charles Arthur Willard, . 1982.

Argumentation and the Social Grounds of Knowledge

Salmon, Wesley C. Logic. New Jersey: Prentice-Hall (1963). Library of Congress Catalog Card no. 63–10528.

Aristotle, Prior and Posterior Analytics. Ed. and trans. John Warrington. London: Dent (1964)

Mates, Benson. Elementary Logic. New York: OUP (1972). Library of Congress Catalog Card no. 74–166004.

Mendelson, Elliot. Introduction to Mathematical Logic. New York: Van Nostran Reinholds Company (1964).

Frege, Gottlob. The Foundations of Arithmetic. Evanston, IL: Northwestern University Press (1980).

. The Controversy Manual (Sparsnäs, Sweden: Irene Publishing, 2014).

Martin, Brian

at PhilPapers

Argument

McKeon, Matthew. . Internet Encyclopedia of Philosophy.

"Argument"