THE NONSENSE
TRAPS: A GUIDE TO THE LOGICAL FALLACIES - Part 2
Welcome to
the Nonsense Traps
by Jonathan Dolhenty, Ph.D.
II. Fallacies
of Ambiguity
The fallacies included in this category are
arguments that are unsound because of ambiguity and
are commonly referred to as fallacies of ambiguity.
A certain word or combination of words in the
argument can be understood in more than one sense.
Many debates end up in total confusion because the
participants do not define their terms and explain
their ideas clearly and/or end up using them
inconsistently. The impreciseness of our English
language accounts for much of this problem. Many
words in English mean quite different things to
different people.
Equivocation
This fallacy involves the use of a word or
phrase that can be interpreted in two or more
different ways in a given context. The equivocal
element may be used in one sense in the premise(s)
and in another in the conclusion. It may also be
used in different senses in different premises. And
it may be used in such a way that it is impossible
to determine the sense in which it is being
used.
- Example: "Man is a social animal, and
no woman is a man. Therefore, no woman is a
social animal." (Do you see the problem here?
The term "man" in the initial premise is used as
a generic term to include all human beings
regardless of gender. The second premise uses
"man" in a specific sense as applying only to
the male gender. The term is used in two
different senses and the fallacy of equivocated
is committed.)
- Example: "The end of a thing is its
perfection. Death is the end of life. Therefore,
death is the perfection of life." (This argument
is fallacious because two differences meanings
of the term "end" are confused in it. The term
"end" may mean "goal" or it may mean "final
event." While both of these meanings is
perfectly legitimate, it is fallacious to use
them in this example as if they mean the same
thing. The argument should read: "The goal of a
thing is its perfection. Death is the final
event of life." And, of course, no conclusion
can be validly drawn because we have no
consistent middle term in the premises.)
Special care should be taken in the use of some
common words and phrases. For instance, the term
"right" or "rights" must be carefully defined in an
argument. There is a fundamental difference between
"natural" rights and "civil" rights. The same holds
true with the term "soul." This term is commonly
used by religious people as a substitute for the
term "human being," like in the sentence: "There
are fifty souls in the congregation today." The
term "spirit" is sometimes used as a synonym for
"soul." On the other hand, in classical realistic
philosophy, the term "soul" refers to the
"principle of life" or that which makes a living
thing to be living. There are, then, "vegetative"
souls in plants, "animal" souls in brute animals,
and "human" souls in human beings.
Consider the following statements:
- Bill is the brother of Mary.
- All men are brothers.
- Joe and John are fraternity
brothers.
- "Oh, brother!"
Most of us have no problem recognizing that the
term "brother" is being used in a difference sense
in each of the statements. None of us would confuse
"brother" in the first statement with "brother" in
the third statement. This seems quite self-evident,
so what's the problem? Well, then, look at this
argument:
All men are brothers in a common fraternity.
All brothers in a common fraternity are college
students.
Therefore, all men are college students.
Do you see the problem here? At first glance it
may seem like a valid argument. But the term
"brothers" is being used in different senses in the
two premises of the argument. And this, of course,
leads to an invalid conclusion.
Amphiboly
The fallacy of amphiboly results because of poor
sentence construction. We do not understand the
meaning of the whole sentence and the whole
sentence is ambiguous or the sentence may be
grammatically ambiguous.
- Example: "Four out of five dentists
recommend Sugarfree gum so it is obviously good
for you." (The inference here is that four out
of every five dentists have recommended the gum.
But that is not what the statement actually
says. It may mean that only five dentists were
surveyed and four of them recommended the gum.
This is a common type of misleading statement in
advertising commercials. One needs to ask: "How
many dentists in all took part in the
survey?")
A problem, involving what are called "dangling
participles," occurs when we fail to attach a noun
to a participial phrase which precedes it. (Some of
these become very humorous. You may want to try
your hand at generating some of your own.)
- Example: "The sailboat 'Newport
Beach' was far ahead of the others when she
crossed the finish line. Her nose up in the air,
saltwater pouring across her bows, Mrs. Williams
guided her skillfully past the cheering crowd."
(This actually appeared in a story in a
newspaper. One can only hope that the reporter
has learned to do better since then. The fallacy
here should be obvious. The first part of the
second sentence really belongs with the first
sentence. It is not "attached" properly.)
- Example: "Water the plant when
thoroughly potted." (Oh, really? Does this mean
to be "intoxicated" when watering your plant. Or
must the plant be placed in a pot first?)
Fallacies of amphiboly can turn up in the
strangest places and the perpetrators of such
fallacies should really know better. Study these
actual examples which have publicly appeared.
- A wartime poster: "Save Soap and Waste
Paper."
- A slogan: "Safe Driving is No
Accident!"
- Newspaper Brief: "The farmer blew out his
brains after taking affectionate farewell of his
family with a shotgun."
- Sign on Bulletin Board: "Clean and decent
dancing, every night except Sunday."
- Newspaper Announcement: "The marriage of
Miss Pauline Smith and Mr. Robert Novak, which
was announced in this paper a few weeks ago, was
a mistake and we wish to correct it."
- Newspaper Story: "Police authorities are
finding the solution of murders more and more
difficult because the victims are unwilling to
cooperate with the police."
Fallacy of
Composition
The fallacy of composition involves two forms of
erroneous reasoning. The first occurs when a person
erroneously argues that a whole which is a single
entity has a certain characteristic because each of
its components parts has that characteristic.
The second form occurs when a person invalidly
concludes that a collection of elements has a
certain characteristic because each element in the
collection has this characteristic.
- Example: "Each brick in that building
was rectangular in shape, so the building must
be rectangular in shape." (The fallacy of this
argument should be immediately obvious.)
- Example: "If you drop a feather from
a ten-story building, it will float to earth
very slowly. Therefore, if you drop that pillow
from a ten-story building, it too will float to
earth slowly." (While the pillow is composed of
feathers, there is a significant difference
between a feather and a pillow. What can be
applied to a single feather cannot be applied to
the group of feathers contained within the
pillow.)
- Example: "With a laissez-faire
policy, each member of society acts in a way
that will advance his or her own economic
interest. Consequently, all individuals and
ultimately society as a whole achieves the
maximum economic advantages." (This is not an
uncommon argument, by the way. But it is
fallacious. What can be said of an individual
member of a society cannot necessarily be said
of the society as a whole or of all individuals
within that society.)
Fallacy of
Division
The fallacy of division is the reverse of the
fallacy of composition. The first form occurs when
it is invalidly argued that each part in a whole
has a particular attribute because the whole itself
has that attribute.
The second form occurs when it is erroneously
argued that what is true of a collection of items
must also be true of each component item.
When the attribute being considered is a
distributive attribute, that is, when it refers to
properties possessed by the individual members of a
collection, the inference will be valid. However,
when it is a collective attribute, that is, when it
refers to a property possessed only the totality of
members of a collection, the inference will be
invalid.
- Example: "The American judicial
system is a fair system. Therefore, Defendant
Smith got a fair trial." (Generally speaking,
the American judicial system is fair. Fairness
is an attribute of the judicial system. But this
does not mean that every trial within that
system is fair in itself.)
- Example: "In the latest poll, 60% of
the American people favored the President's
handling of the economy. Therefore, of the ten
Democrats on the Senate Finance Committee,
exactly six favor the President's handling of
the economy." (The fallacy here should be
obvious.)
- Example: "Cats are frequently seen on
city streets. Tigers are cats, Therefore, tigers
are frequently seen on city streets." (Here the
second type of division fallacy is committed.
One cannot argue from attributes of a collection
of elements [cats] to the attributes of
the elements themselves [tigers].)
And, finally, this old riddle involves the
confusion generated by the fallacy of division:
"Why do white sheep eat more than black ones?" The
answer, "Because there are more of them," treats
collectively what seemed to be referred to
distributively in the question.
To Page Three
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