Notes on Logic:

Informal, Deductive, and Inductive

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Posts tagged with "informal fallacy"

An Example of the Complexities of Informal Fallacy Analysis

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In answer to the question why there has been an outbreak in Ponzi schemes, the following argument is advanced:

We have a great moral crisis in this country, and it is only getting worse. The number of people who follow a moral code based on a divine authority continues to dwindle. Without a moral code, decisions move from "What is right or wrong" to "What can I get by with that will benefit me?" The result is an increase in Ponzi schemes, corrupt governance, and self-serving elected officials. Pass all the laws you want, but without a moral and religious people the future does not look bright.

Jim Yeagle, "What We are Missing," Barron's 92 No. 31 (July 30, 2003), 34.


It might be thought that the fallacy in this passage is an ignoratio elenchi or even a "red herring" fallacy. Briefly, the fallacy of ignoratio elenchi occurs whenever the conclusion of an argument is irrelevant to the premisses, in much the same way that irrelevancy occurs in the non sequitur fallacy. Usually, though, the non sequitur is thought of as a "formal fallacy" or one that occurs whenever a deductive argument is invalid; whereas, an ignoratio elenchi is one that is based, not on the grammatical form of the argument, but on its content or meaning and so is termed an "informal fallacy." The red herring fallacy, also an informal fallacy, occurs whenever the conclusion of an argument is a diversion from the subject of the premises of that argument. In the case of this argument, however, the general subject is not changed. so it would be an error to cite the fallacy in this passage to be a red herring.

On the one hand, the author of our argument above is reasoning from a premise about persons with a moral code based on divine authority to a conclusion about moral and religious people. So it might appear that the persons being referred to in the premises do not necessarily include the persons being referred to in the conclusion. That is, it might be thought that this difference is due to the fact that a moral person need not be a religious person. Thus, one might think the author is making the mistaken assumption either that religious people are necessarily moral people or that moral people are necessarily religious people or both, and if so, then a fallacy of irrelevant conclusion would occur. And the irrelevancy would have to do with the different composition of the kinds of people under consideration.

On the other hand, a supporter of this argument might claim that the class of "moral and religious people" is a suitable paraphrase for the class of "people who follow a moral code based on a divine authority" since, an essential feature of religions, Buddhism not withstanding, is the notion of a divine authority. And this judgment is justified by the conventional connotation of the word "religion" as can be determined by anyone with an English dictionary.

In the end, however, Mr. Yeagle’s argument is best seen by constructing the framework in a manner something like this:

Dwindling numbers of people who follow a moral code based on divine authority result in increased corruption.
An increase in corruption results in a not bright future. ---------------------------------------------------------------------------------------------------
Therefore, without moral and religious people the future is not bright.


Assuming that this non-standard form syllogism is a reasonable reconstruction, the validity of the argument turns on whether or not the phrase "moral and religious people" refers to two groups: the group of moral people and the group of religious people, or to one group: the group of morally religious people. Taking into account the context of the passage together with the principle of charity, I think we have to conclude that Mr. Yeagle clearly means the latter.

Hence, Mr. Yeagle's argument seems not to be formally fallacious. It appears to be a valid argument. Nevertheless, if there were so, one can still argue that the argument might not be sound because if morality, regardless of religion, dwindles, there will be an increase in corruption also. So, in this case, the first premise is false in that it is the decline in morality per se, not necessarily a morality based on a divine authority, which results in a dim future.

One of the interesting things about this argument is that from a formal point of view, the argument seems valid but not sound. And the reason for the unsoundness is actually the informal fallacy of division. Mr. Yeagle is reasoning from a characteristic of the whole of the class of "persons who follow a moral code based on divine authority" to a characteristic of the subclasses of "persons who are moral" and "persons who are religious." Since some moral persons are not religious persons, the informal fallacy of division occurs, given that Mr. Yeagle is assuming that the factor or religion is necessary connected to the brightness of our future.

And so, in the end, when the argument is viewed syllogistically, i.e., from a formal point of view, the formal fallacy would be termed the four-term fallacy. The ambiguity involved would be the fallacy of division since Mr. Yeagle is arguing that a property of the class of morally religious people deductively implies that that property also must belong to the class of moral people and the class or religion people.

Inferring Context and Intention from the Form and Function of Language

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Some introductory logic texts and a few fallacy Websites emphasize distinguishing statements (normally considered declarative sentences with a truth value of true or false) from nonstatements (sentences of any type without a truth value), e.g., questions in an inquiry, commands in directions, exclamations in expressive discourse, and so forth.

The sentence, "What is so rare as a day in June?" would be considered by these sources a sentence without a truth value, because it is a question as well as a line of poetry from James Russell Lowell's "The Vision of Sir Launfal." Poetry as expressive discourse is neither true nor false. As such, one would think this sentence would have no use in a purported argument such as this one: "Father's Day is a beautiful day, for, as they say, what is so rare as a day in June?"

Such an interpretation leads to inconsistency of application of the basic terms of an argument when the topic of informal fallacies arises. Here, passages with non-declarative sentences are routinely used for fallacy examples. For example, the Wikipedia entry for (fallacy of) compound question explains the question, "Are you still beating your wife?" in this manner:

Compound questions are a common feature in loaded questions such as "Are you still beating your wife?" The argument is phrased as a single question requiring a single answer, but actually involves two or more issues that cannot necessarily be accurately answered with a single response.



However as Prof. Gary N. Curtis explains in The Fallacy Files with respect to this example ...

Since a question is not an argument, simply asking a loaded question is not a fallacious argument. Rather, loaded questions are typically used to trick someone into implying something they did not intend.



The only way to determine whether an argument is present is to look at the context and intention of the locutor. ("Locutor" is a term first used by Thomas Vernon in his Philosophy of Language Primer, (University Press of America, 1980).) In particular, the context and circumstances which occasion the use of the particular utterance is essential for the identification of fallacies.

As Grice points out, the meaning of a sentence is what a speaker means when he utters the sentence--in a sense this is a narrower interpretation of Wittgenstein's observation that sentence only makes sense when a context is provided:

When does a sentence make sense? ... There was talk about [G.E.] Moore's sentence: I am here....if it were a question in a True-False questionnaire, you would clearly answer "True" or "Yes" if asked: Yes or No. W.[Wittgenstein] said; "No! No! Of course not, etc. Context determines use.


(O.K. Bouwsma, Wittgenstein Conversations 1949-1951, ed. by J.L. Craft and Ronald E. Hustwit (Indianapolis: Hackett, 1986), 15.)

When no context is provided, common sense should prevail. In many editions of Copi and Cohen's popular Introduction to Logic, we find example exercises which require the student treat a passage as an argument when no argument is present.

Consider these examples:

He that loveth not knoweth not God for God is love. --1 John 4:8

Forbear to judge, for wa are sinners all. --William Shakespeare, Henry VI, Part III, act III sc. 3 line 31.


(Irving M. Copi and Carl Cohen, Introduction to Logic, 9th ed. (New York: Macmillan,1990), 17.)

Clearly the contexts provided by the annotated references preclude the intent of providing an argument in these instances.

The presence of an argument, then, should not be concluded on the simply on basis of the sentence type but rather on the basis of the context, intent and sentence function of the passage under examination.

Consider the following passage:

The federal budget is months overdue, and it appears that the Democrats will have to give in to many of Mr Bush's spending demands, even at the expense of the domestic programmes they wanted to augment. Will voters punish the Democrats at the 2008 election for Congress's disappointing year, or will they whack the Republicans for their obstructionism?


("The Do-Nothing Congress," The Economist, 385, No. 8554 (15 December 2007), 39.)

The complex fallacy normally identified here by those who have studied logic is a complex question using the variously termed fallacy of false dichotomy, black-or-white fallacy, false dilemma, or false choice. If it is an argument, note that the conclusion is a question. The import of the question points to a disjunctive statement. The argument popularly would be considered fallacious here because, in fact, there are other possible alternatives than "punishing" or "whacking."

However, let's look at the context and intent of the passage. If, by the principle of charity, we remove the emotionally charged words in the conclusion ...

Either voters punish the Democrats because ...

Or voters whack the Republicans because ...


to mean something like "The voters will either vote Republican or Democrat," for that is the factual significance of the question, the triviality of the statement yields the implication that the passage is not so much a fallacy of complex question as it is an editor's (emotively significant) comment.

Of course, the assumptive reasons provided in the passage for voting Democratic or Republican may be challenged on the basis that there are other alternatives. But I think the safest course is to regard the comment as expressive discourse. The editor is expressing an opinion; he is not drawing a conclusion on the basis of the premise that the Democrats are under pressure to agree to President Bush's proposals. It is a factual claim not a logical claim that this pressure will cause them to vote either Republican or Democratic. The rhetoric of the passage obscures the fact that no argument is present.

Just so, however, I acknowledge that my interpretation of the quoted editorial passage from The Economist is a close and probably controversial call even upon careful study of the context of the complete article.

Tu Quoque, as Ad Hominem

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Aristotle wrote in his Politics:

... and that man is by nature a political animal. ... But he who is unable to live in society, or who has no need because he is sufficient for himself, must be either a beast or a god: he is no part of a state. A social instinct is implanted in all men by nature ... (1253a, translated by Benjamin Jowett)



Although many philosophers and psychologists, including Hobbes, Nietzsche, and Freud, have also used the notion of social instinct in understanding the rudiments of social phenomena, such an analysis is too vague to found basic principles of social psychology. Even so, the open texture of the concepts describing the social impulses of human beings, ubiquitous as they are, should not disqualify them for use in suggesting the psychological basis for the occurrence of tu quoque arguments in human negotiations, ostensibly for the settling and resolution of differences.

Just as consensus or common ground is sought to resolve disagreements in attitude and in belief, so likewise the claim, as well as criticism, of "you too" can help forge a similar social outlook among disputants. The tu quoque argument, however, is adopted not so much as a technique for building group cohesiveness as it is adopted as accusation or threat of separation: the locutor or speaker under scrutiny is claimed to be no better, claimed to be the same as, or claimed to be, in fact, worse than the person or point of view who was first criticized.

The tu quoque argument often occurs a social environment such as that just described, and I think it arguable that an even greater variety of circumstances than those hastily outlined here are related to the many and various claimed instances for various sub-types of the fallacy. Nevertheless, some indeterminacy of the application of term tu quoque to describe marginally appropriate fallacious passages, of course, is intrinsic to the notion of what it is to be an informal, as opposed to a formal, fallacy.

Consider this straightforward example of ad hominem from Time's letters section:

It is outrageous for Elizabeth Edwards to attack Hillary Clinton's electability. After all, the Clintons have a long track record of winning tough elections by comfortable margins, while John Edwards certainly can't make the same boast.



(Reba Simansky, "Inbox," Time, 170, No. 13 (24 September 2007), 10.)

Ms. Simansky is arguing since the Edwardses do not have a record of decisively winning close elections and the Clintons do have such a record, Ms. Edwards is mistaken in her belief that Ms. Clinton cannot be elected. A simple restatement of the argument is enough to indicate its lack of cogency.

Since the first and central issue of Ms. Clinton's electability is being dropped in favor of a personal judgment concerning Ms. Edwards' purported immoderate assertion, Ms. Simansky's letter is clearly an ad hominem. But is it tu quoque?

The standard tu quoque argument is based on the notion that a individual's criticism of a point of view or situation applies equally or even more so to the person making that claim about the individual. In other words, rather than trying to disprove Ms. Edwards' remark about Ms. Clinton's electability, Ms. Simansky accuses the Edwardses of having even a smaller chance of winning the election. Rather than trying to disprove a remark about someone's character or circumstances, one accuses the locutor of having the same character or circumstances.

The attendant fallacy of ambiguity of shifting between Ms. Clinton and the Clintons, as well as shifting between Ms. Edwards and the Edwardses, makes the conclusion of the quoted argument even more suspect.
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