| |

Logical Fallacies
[Preamble | Manifesto | Agenda]
Logic and Logical Fallacies
By ROBERT GORHAM DAVIS
From the
Harvard Handbook for English, 4th edition. Copyright 1947, the
President and Fellows of Harvard College. Copyright 1975 by Robert Gorham
Davis. [permission to post it to IndiaPolicy has not been obtained but it
is hoped that this violation will be condoned in the interest of wider
dissemination of knowledge.]
Expression does not exist apart from thought, and cannot be
analyzed or profitably discussed apart from thought. Just as clear and
effective organization is essential to good writing, so consistent
thinking and coherence of mind underlie consistent writing and coherence
of style. The faults and errors which [fall] under the headings of style
and structure are closely bound up with orderly thought, as the student
can hardly fail to notice. But some direct suggestions on the modes of
consistent thinking and of analyzing and criticizing arguments and
assertions ought also to prove useful. The following pages accordingly
present some notes on logic and common logical fallacies.
UNDEFINED TERMS
The first requirement for logical discourse is knowing what the
words you use actually mean. Words are not like paper money or counters in
a game. Except for technical terms in some of the sciences, they do not
have a fixed face value. Their meanings are fluid and changing, influenced
by many considerations of context and reference, circumstance and
association. This is just as true of common words, such as fast as
it is of literary terms such as romantic. Moreover, if there is to
be communication, words must have approximately the same meaning for the
reader that they have for the writer. A speech in an unknown language
means nothing to the hearer. When an adult speaks to a small child or an
expert to a layman, communication ma y be seriously limited by lack of a
mature vocabulary or ignorance of technical terms. Many arguments are
meaningless because the speakers are using important words in quite
different senses.
Because we learn most words - or guess at them - from contexts in which
we first encounter them, our sense of them is of incomplete or wrong.
Readers sometimes visualize the Assyrian who comes down like the wolf on
the fold as an enormous man dressed in cohorts (some kind of fancy armor,
possibly) gleaming in purple gold. "A rift in the lute" suggests vaguely a
cracked mandolin. Failure to ascertain the literal meaning of figurative
language is a frequent reason for mixed metaphors. We are surprised to
find that the "devil" in "the devil to pay" and "the devil and the deep
blue sea" is not Old Nick, but part of a ship. Unless terms mean the same
thing to both writer and reader, proper understanding is impossible.
ABSTRACTIONS
The most serious logical difficulties occur with abstract terms. An
abstraction is a word which stands for a quality found in a number of
different objects or events from which it has been "abstracted"
or taken away. We may, for instance,
talk of the "whiteness'' of paper or cotton or snow without considering
qualities of cold or inflammability or usefulness which these materials
happen also to possess. Usually, however, our minds carry over other
qualities by association. See, for instance, the chapter called "The
Whiteness of the Whale" in Moby Dick.
In much theoretic discussion the process of abstraction is carried so
far that although vague associations and connotations persist,
the original objects or events from which the qualities have been
abstracted are lost sight of completely. Instead of thinking of
words like sincerity and Americanism as symbols
standing for qualities that have to be abstracted with great care
from examples and test cases, we come to think of them as real things in
themselves. We assume that Americanism is Americanism just as a bicycle is
a bicycle, and that everyone knows what it means. We forget that before
the question, "Is Father Coughlin sincere?" can mean anything, we have to
agree on the criteria of sincerity.
When we try to define such words and find examples, we discover that
almost no one agrees on their meaning. The word church may refer to
anything from a building on the corner of Spring Street to the whole
tradition of institutionalized Christianity. Germany may mean a
geographical section of Europe, a people, a governing group, a cultural
tradition, or a military power. Abstractions such as freedom, courage,
race, beauty, truth, justice, nature, honor, humanism, democracy,
should never be used in a theme unless their meaning is defined or
indicated clearly by the context. Freedom for whom? To do what? Under
what circumstances? Abstract terms have merely emotional value unless they
are strictly defined by asking questions of this kind. The study of a
word such as nature in a good unabridged dictionary will show that
even the dictionary, indispensable though it is, cannot determine for us
the sense in which a word is being used in any given instance. Once the
student understands the importance of definition, he will no longer be
betrayed into fruitless arguments over such questions as whether free
verse is "poetry" or whether you can change ''human nature."
NAME-CALLING
It is a common unfairness in controversy to place what the writer
dislikes or opposes in a generally odious category. The humanist dismisses
what he dislikes by calling it romantic; the liberal, by calling it
fascist; the conservative , by calling it communistic. These
terms tell the reader nothing. What is piety to some will be
bigotry to others. Non-Catholics would rather be called
Protestants then heretics. What is right-thinking except a
designation for those who agree with the writer? Labor leaders become
outside agitators; industrial organizations, forces of reaction;
the Child Labor Amendment, the youth control bill; prison
reform, coddling; progressive education, fads and frills.
Such terms are intended to block thought by an appeal to prejudice and
associative habits. Three steps are necessary before such epithets have
real meaning. First, they must be defined; second, it must be shown that
the object
to which they are applied actually possesses these qualities; third, it
must be shown that the possession of such qualities in this particular
situation is necessarily undesirable. Unless a person is alert and
critical both in choosing and in interpretin g words, he may be alienated
from ideas with which he would be in sympathy if he had not been
frightened by a mere name.
GENERALIZATION
Similar to the abuse of abstract terms and epithets is the habit
of presenting personal opinions in the guise of universal laws. The
student often seems to feel that the broader the terms in which he
states an opinion, the more effective he will be. Ordinarily the
reverse is true. An enthusiasm for Thomas Wolfe should lead to a
specific critical analysis of Wolfe's novels that will enable the writer
to explain his enthusiasm to others; it should not be turned into the
argument that Wolfe is "the greatest American novelist," particularly
if the writer's knowledge of American novelists is somewhat limited.
The same questions of who and when and why and under
what circumstances which are used to check abstract terms
should be applied to generalizations. Consider how contradictory
proverbial wisdom is when detached from particular circumstances.
"Look before you leap," but "he who hesitates is lost."
Superlatives and the words right and wrong, true
and untrue, never and always must be used with
caution in matters of opinion. When a student says flatly that X is
true, he often is really saying that he
or his family or the author of a book he has just been
reading, persons of certain tastes and background and experience,
think that X is true. Unless these people are identified and
their reasons for thinking so explained, the assertion is worthless.
Because many freshmen are taking survey courses in which they read a
single work by an author or see an historical event through the eyes
of a single historian whose bias they may not be able to measure,
they must guard agains t this error.
SAMPLING
Assertions of a general nature are frequently open to
question because they are based on insufficient evidence. Some
persons are quite ready, after meeting one Armenian or reading one
medieval romance, to generalize about Armenians and medieval
romances. One ought, of course, to examine objectively as many examples as
possible before making a generalization, but the number is less important
than the representativeness of the examples chosen. The Literary Digest
Presidential Poll, sent to hundreds of thousands of people selected from
telephone directories, was far less accurate than the Gallup Poll which
questioned far fewer voters, but selected them carefully and
proportionately from all different social groups. The "typical" college
student, as portrayed by moving pictures and cartoons, is very different
from the "representative" college student as determined statistically. We
cannot let uncontrolled experience do our sampling for us; instances and
examples which impress themselves upon our minds do so usually because
they are exceptional. In propaganda and arguments extreme cases are
customarily treated as if they were characteristic.
If one is permitted arbitrarily to select some examples and ignore
others, it is possible to find convincing evidence for almost any theory,
no matter how fantastic. The fact that the mind tends naturally to
remember those instances which confirm its opinions imposes a duty upon
the writer, unless he wishes to encourage prejudice and superstition, to
look carefully for exceptions to all generalizations which he is tempted
to make. We forget the premonitions which are not followed by disaster and
the times when our hunches failed to select the winner in a race. Patent
medicine advertisements print the letters of those who survived their
cure, and not of those who died during it. All Americans did not gamble on
the stock exchange in the twenties, and all
Vermonters are not thin-lipped and shrewd. Of course the search for
negative examples can be carried too far. Outside of mathematics or the
laboratory, few generalizations can be made airtight, and most are not
intended to be. But quibbling is so easy that resort to it is very
common, and the knowledge that people can and will quibble over
generalizations is another reason for making assertions as limited and
explicitly conditional as possible.
FALSE ANALOGY
Illustration, comparison, analogy are most valuable in making an essay
clear and interesting. It must not be supposed, however, that they prove
anything or have much argumentative weight. The rule that what is true of
one thing in one set of circumstances is not necessarily true of another
thing in another set of circumstances seems almost too obvious to need
stating. Yet constantly nations and businesses are discussed as if they
were human beings with human habits and feelings; human bodies are discussed as if they were machines; the universe, as if it were a clock. It
is assumed that what held true for seventeenth century New England or the
thirteen Atlantic colonies also holds true for an industrial nation of
130,000,000 people. Carlyle dismissed the arguments for representative
democracy by saying that if a captain had to take a vote among his crew
every time he wanted to do something, he would never get around Cape Horn.
This analogy calmly ignores the distinction between the lawmaking and the
executive branches of constitutional democracies. Moreover, voters may be
considered much more like the stockholders of a merchant line than its
hired sailors. Such arguments introduce assumptions in a metaphorical
guise in which they are not readily detected or easily criticized. In
place of analysis they attempt to identify their position with some
familiar symbol which will evoke a predictable, emotional response in the
reader. The revival during the 1932 presidential campaign of Lincoln's
remark, "Don't swap horses in the middle of the stream," was not merely a
picturesque way of saying keep Hoover in the White House. It made a number
of assumptions about the nature of depressions and the function of
government. This propagandist technique can be seen most clearly in
political cartoons.
DEGREE
Often differences in degree are more important than differences in
kind. By legal and social standards there is more difference
between an habitual drunkard and a man who drinks temperately, than
between a temperate drinker and a total abstainer. In fact
differences of degree produce what are regarded as differences of
kind. At known temperatures ice turns to water and water boils. At an
indeterminate point affection becomes love and a man who needs a
shave becomes a man with a beard. The fact that no men or systems are
perfect makes rejoinders and counter-accusations very easy if differences
in degree are ignored. Newspapers in totalitarian states, answering
American accusations of brutality and suppression, refer to lynchings and
gangsterism here. Before a disinterested judge could evaluate these
mutual accusations, he would have to settle the question of the degree to
which violent suppression and lynching are respectively prevalent in the
countries under consideration. On the other hand, differences in degree
may be merely apparent. Lincoln Steffens pointed out that newspapers can
create a "crime wave" any time they wish, simply by emphasizing all the
minor assaults and thefts commonly ignored or given an
inch or two on a back page. The great reported increases in insanity may
be due to the fact that in a more urban and institutionalized society
cases of insanity more frequently come to the attention of authorities and
hence are recorded in statistics.
CAUSATION
The most common way of deciding that one thing causes another thing is
the simple principle: post hoc, ergo propter hoc, "After this,
therefore because of this." Rome fell after the introduction of
Christianity; therefore Christianity was responsible for the fall of
Rome. Such reasoning illustrates another kind of faulty generalization.
But even if one could find ten cases in which a nation "fell" after the
introduction of Christianity, it still would not be at all certain that
Christianity caused the fall. Day, it has frequently been pointed out,
follows night in every observable instance, and yet night cannot be called
the cause of day. Usually a combination of causes produces a result.
Sitting in a draught may cause a cold, but only given
a certain physical condition in the person sitting there. In such
instances one may distinguish between necessary and sufficient conditions.
Air is a necessary condition for the maintenance of plant life, but air
alone is not sufficient to produce plant life. And often different causes
at different times may produce the same result. This relation is known as
plurality of causes. If, after sitting in a stuffy theatre on Monday, and
then again after eating in a stuffy restaurant on Thursday, a man suffered
from headaches, he might say, generalizing, that bad air gave him
headaches. But actually the headache on Monday may have been caused by
eye-strain and on Thursday by indigestion. To isolate the causative factor
it is necessary that all other conditions be precisely the same. Such
isolation is possible, except in very simple instances, only in the
laboratory or with scientific methods. If a picture falls from the wall
every time a truck passes, we can quite certainly say that the truck's
passing is the c ause. But with anything as complex and conditional as a
nation's economy or human character, the determination of cause is not
easy or certain. A psychiatrist often sees a patient for an hour daily for
a year or more before he feels that he understands his psychosis.
{NOTE FOR ME: CONTINUE CHECKING AFTER THIS}
Ordinarily when we speak of cause we mean the proximate or immediate
cause. The plants were killed by frost; we had indigestion from eating
lobster salad. But any single cause is one in an unbroken series. When a
man is murdered, is his death caused by
the loss of blood from the wound, or by the firing of the pistol, or by
the malice aforethought of the murderer? Was the World War "caused" by the
assassination at Sarajevo? Were the Navigation Acts or the ideas of John
Locke more important in "causing" the American Revolution? A complete
statement of cause would comprise the sum total of the conditions which
preceded an event, conditions stretching back indefinitely into the past.
Historical events are so interrelated that the isolation of a causative s
equence is dependent chiefly on the particular preoccupations of the
historian. An economic determinist can "ex plain" history entirely in
terms of economic developments; an idealist, entirely in terms of the
development of ideas.
SYLLOGISTIC REASONING
The formal syllogism of the type,
All men are mortal
John is a man
Therefore John is mortal,
is not so highly regarded today as in some earlier periods. It merely
fixes an individual as a member of a class, and then assumes that the
individual has the given characteristics of the class. Once we have
decided who John is, and what "ma n" and "mortal" mean, and have canvassed
all men, including John, to make sure that they are mortal, the conclusion
naturally follows. It can be seen that the chief difficulties arise in
trying to establish acceptable premises. Faults in the premises are known
as "material" fallacies, and are usually more serious than the "formal"
fallacies, which are logical defects in drawing a conclusion from the
premises. But although directly syllogistic reasoning is not much
practiced, buried syllogisms can be found
in all argument, and it is often a useful clarification to outline your
own or another writer's essay in syllogistic form. The two most frequent
defects in the syllogism itself are the undistributed and the ambiguous
middle. The middle term is the one th at appears in each of the premises
and not in the conclusion. In the syllogism,
All good citizens vote
John votes
Therefore John is a good citizen,
the middle term is not "good citizens,)' but "votes." Even though it
were true that all good citizens vote, nothing prevents bad citizens from
voting also, and John may be one of the bad citizens. To distribute the
middle term "votes" one might say (but only if that is what one meant,
All voters are good citizens
John is a voter
Therefore John is a good citizen .
The ambiguous middle term is even more common. It represents a problem
in definition, while the undistributed middle is a problem in
generalization. All acts which benefit others are virtuous, losing money
at poker benefits others, therefore losing at poker is a virtuous act.
Here the middle term "act which benefits others" is obviously used very
loosely and ambiguously.
NON-SEQUITUR
This phrase, meaning "it does not follow," is used to characterize
is the kind of humor found in pictures in which the Marx Brothers
per form. It is an amusing illogicality because it usually expresses,
beneath its apparent incongrui ty, an imaginative, associative, or
personal truth. "My ancestors came over on the Mayflower; therefore I
am naturally opposed to labor unions.'' It is not logically necessary
that those whose ancestors came over on the Mayflower should be
opposed to unions; but it may happen to be true as a personal fact in
a given case. Contemporary psychologists have effectively shown us that
there is often such a wide difference between the true and the
purported reasons for an attitude t hat, in rationalizing our
behavior, we are often quite unconscious of the motives that actually
influence us. A fanatical antivivisectionist, for instance, may have
temperamental impulses toward cruelty which he is suppressing and
compensating for by
a reasoned opposition to any kind of permitted suffering. We may
expect, then, to come upon many conclusions which are psychologically
interesting in themselves, but have nothing to do with the given
premises.
IGNORATIO ELENCHI
This means, in idiomatic English, "arguing off the point," or ignoring
the question at issue. A man trying to show that monarchy is the best form
of government for the British Empire may devote most of his attention to
the character of George V and
the affection his people felt for him. In ordinary conversational
argument it is almost impossible for disputants to keep to the point.
Constantly turning up are tempting side-issues through which one can
discomfit an opponent or force him to irrelevant admissions that seem to
weaken his case.
BEGGING THE QUESTION; ARGUING IN A CIRCLE
The first of these terms means to assume in the premises what you
are pretending to prove in the course of your argument. The function of
logic is to demonstrate that because one thing or group of things is
true, another must be true as a
consequence. But in begging the question you simply say in
varying language that what is assumed to be true is assumed to be
true. An argument which asserts that we shall enjoy immortality
because we have souls which are immaterial and indestructible
establishes nothing, because the idea of immortality is already
contained in the assumption about the soul. It is the premise which
needs to be demonstrated, not the conclusion. Arguing in a circle is
another form of th is fallacy. It proves the premise by
the conclusion and the conclusion by the premise. The conscience
forbids an act because it is wrong; the act is wrong because the
conscience forbids it.
ARGUMENTS AD HOMINEM AND AD POPUL UM
It is very difficult for men to be persuaded by reason when their
interest or prestige is at stake. If one wishes to preach the significance
of physiognomy, it is well to choose a hearer with a high forehead and a
determined jaw. The arguments in favor of repealing the protective tariff
on corn or wheat in England were more readily entertained by manufacturers
than by landowners. The cotton manufacturers in New England who were doing
a profitable trade with the South were the last to be moved b y
descriptions of the evils of slavery. Because interest and desire are so
deeply seated in human nature, arguments are frequently mingled with
attempts to appeal to emotion, arouse fear, play upon pride, attack the
characters of proponents of an opposite
view, show that their practice is inconsistent with their principles; all
matters which have, strictly speaking, nothing to do with the truth or
falsity, the general desirability or undesirability, of some particular
measure. If men are desperate enough they will listen to arguments proper
only to an insane asylum but which seem to promise them relief.
After reading these suggestions, which are largely negative, the
student may feel that any original assertion he can make will probably
contain one or several logical faults. This assumption is not true. Even
if it were, we know from reading newspapers
and magazines that worldly fame is not dimmed by the constant and, one
suspects, conscious practice of illogicality. But generalizations are not
made only by charlatans and sophists. Intelligent and scrupulous writers
also have a great many fresh and pro vocative observations and conclusions
to express and are expressing them influentially. What is intelligence but
the ability to see the connection between things, to discern causes, to
relate the particular to the general, to define and discriminate and c
ompare? Any man who thinks and feels and observes closely will not want
for something to express.
And in his expression a proponent will find that a due regard for logic
does not limit but rather increases the force of his argument. When
statements are not trite, they are usually controversial. Men arrive at
truth dialectically; error is weeded out
in the course of discussion, argument, attack, and counterattack. Not
only can a writer who understands logic show the weaknesses of arguments
he disagrees with, but also, by anticipating the kind of attack likely to
be made on his own ideas, he can so a rrange them, properly modified with
qualifications and exceptions, that the anticipated attack is made much
less effective. Thus, fortunately, we do not have to depend on the spirit
of fairness and love of truth to lead men to logic; it has the strong sup
port of argumentative necessity and of the universal desire to make ideas
prevail.
Return to the main page
|