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Definitions and examples of four common logical fallacies: Irrelevant Conclusion (Ignoratio Elenchi), Red Herring, Hasty Generalization, and Reductive Fallacy. These fallacies can lead to incorrect conclusions and misunderstandings in arguments. The document also includes quotes and examples to illustrate each fallacy.
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Phil 2302 Logic Dr. Naugle
Fallacies of Relevance Continued 1
FALLACIES OF DIVERSION
Fallacies of diversion attempt to win an argument by changing the subject, hoping that you will be distracted long enough not to notice that your opponent has diverted attention away from the subject and has focused on something else (generally something humorous, emotional, or unsolvable).
I. Irrelevant Conclusion or Missing the Point ( Ignoratio Elenchi = Ignorance of the Proof)
A. Definition
This fallacy occurs when the premises of an argument appear to lead up to one particular conclusion, but then a completely different conclusion is drawn. The arguer is ignorant of the logical implications of his/her own premises, and draws a conclusion that misses the point entirely. Or the listener/reader draws a fallacious conclusion from the arguers premise.
Whenever this occurs, you should attempt to identify the correct conclusion that the premises actually imply. The true conclusion must be different from the one mistakenly drawn. In Ignoratio Elenchi the premises entail conclusion A, but conclusion B is fallaciously drawn; seek conclusion A!
A particular form of this argument could be designated Operat ergo veritat : it works, therefore it is true. But drawing the conclusion that something is true because it works is not necessarily the case. If something works, it may be true, but not necessarily. Those who assert this are called pragmatists who believe that results guarantee truth, but this is not so. Whether something works and whether it is true are two different issues. So, don't miss the point because of our pragmatism!
B. Examples
(^1) NB: This material is taken from several logic texts authored by N. Geisler, H.
Kahane, and others. I make no claim to originality in this material.
II. Red Herring (Diverting the Issue)
A. Definition
This second device for changing the subject is less sneaky: it just does it! This fallacy is closely related to both missing the point and the straw man. The red herring fallacy is committed when you divert the attention of the reader/listener by addressing a number of extraneous issues unrelated to the subject at hand, and then assume that the issue has been addressed, and a conclusion established. Often times, a joke or a story, one that is even superficially related to the subject, does the trick quite nicely!
The arguer ignores the opponent's question or argument, and subtly changes the subject. The question is: has the hearer misinterpreted something, or simply changed the subject deliberately. Red herring arguments are especially difficult to discern in long, protracted discourses, and so close attention must be paid to the line of thought expressed. This could be called the Politician's Fallacy, because they often change the subject entirely when a difficult issue or question is addressed to them and they don't know how or what to answer.
The name red herring comes from a procedure used to train hunting dogs to follow a scent. A red herring or bag of them (they are known for their potent smell) is dragged across the trail with the intent to mislead the dogs on the quest for the game being pursued (e.g., a fox).
B. Examples
"Men are more apt to be mistaken in their generalizations than in their particular observations." Machiavelli
"One swallow does not make a summer." Proverb
I. Fallacy of the General Rule or Fallacy of Accident ( Dicto Simpliciter =simple saying)
"Seek simplicity and then distrust it." —A. N. Whitehead
"The love of simplicity has been the source of much false reasoning in philosophy." —D. Hume
A. Definition
This fallacy is committed when a general rule is applied wrongly to a specific case, that is, when you presume that what is true in general, under normal conditions, is true under all circumstances without exception. In arguing, the general rule is directly or indirectly cited in the premises, and then wrongly applied to the specific case in the conclusion. Because of the "accidental" features of the specific situation under consideration, the general rule does not exactly apply or fit. Very "simply," a general rule is misapplied to a specific case.
To avoid this mistake, be suspicious of sweeping generalizations based on just a few samples which are then used as premises. Generic truths can have many exceptions. Ask if the general assertion being made really applied to this specific situation.
B. Examples
II. Hasty Generalization
"Those who jump to conclusions usually leap right over the facts!"
"Many people get their mental exercise by jumping to conclusions!"
A. Definition
This is the dicto simpliciter fallacy in reverse. Here, instead of applying general rule to specific cases, you take a few cases (insufficient in number), and then establish a general rule. You commit this fallacy when you jump to a conclusion before you have sufficient evidence or data, when you base a general statement on a small sample, or when you formulate general rules from atypical or exceptional situations. It is a fallacy that affects inductive generalizations. It concludes too much from too little (like special pleading). Thus, be quick to hear, but slow to speak and slow to anger!
Here are two questions to ask to determine if you or someone else is jumping to conclusions:
Be careful of sweeping generalizations based on just a few samples
Hasty generalizations get established in our minds and evolve into stereotypes which become the basis of our judgments from then on. What do you think about when you think of: philosophy professors, used car salesmen, blondes, Yankees, southerners, fundamentalists, cab drivers, etc? Have you jumped to any conclu- sions about these types of people?
B. Examples:
REDUCTIVE FALLACIES
Reductive fallacies are best described as fallacies of oversimplification. They attempt to make a complex issue look simple by considering only one aspect of it; they reduce a many faceted question to a single point. The simplification process results in misunderstanding because only a caricature of the issue is presented. One example might be: man is just thinking protoplasm. Sounds like an oversimplification!
I. Reductive Fallacy
A. Definition
This fallacy is committed when you stop with a one-level description of a multi-faceted issue when there are many levels to be described. This is when you reduce a complex issue to only one of its many aspects. We often err by supposing that a description on one level excludes a description on another. What we want and need is a coherent, comprehensive, wholistic understanding or description of the matter (or world) at issue. Neglecting some levels of description can only diminish our total understanding of a matter (or the world). Some have called this fallacy "nothing buttery" since it argues that something is nothing but some aspect of it. "The mind is nothing but the brain." "Human personality is nothing but the interaction of chemical and physical properties"
We can guard against this reductive fallacy by being suspicious (hermeneutic of suspicion) of oversimplified analyses, and by remembering how very complex reality is.
B. Examples:
(Note: many if not all non-Christian world views tend to reduce some aspects of creation, while elevating other aspects to prominence, and thereby distorting the comprehensive nature of reality).
II. The Genetic Fallacy (The Nazareth Fallacy)
"Never search for the origin of a saint, a river, or a woman." Hindu proverb.
"The beginnings of all things are small." Cicero
If you answer "Yes," to the first question, the implication is: you were cheating on exams. If you answer "Under the bed," to the second question, the implication is: you stole the cookies.
If you answer "No," to the first question, the implication is: you are still cheating. If you answer "Nowhere," to the second question, the implication is: you stole and ate them.
Obviously, the above two questions are really two questions in one (like a Certs candy mint--two, two, two questions in one!").
B. Examples
IV. Faulty Analogy
"To compare is not to prove." French Proverb "Comparisons are odious." Anon.
A. Definition
Reasoning by analogy is one of the oldest and most fruitful (and dangerous) ways of arguing. It can go wrong however, because some analogies are not as relevant as they may seem or claim to be because of a critical difference in the things compared. If these differences are ignored, then nothing has really been proved by the comparison. You commit this fallacy by saying: "Accept this because of its superficial similarities with that." But analogies are
good only when there are strong similarities and nonessential differences between the things compared. But if the similarities are only accidental, and the differences essential, then the argument suffers and can be fallacious.
Remeber two things in this case: 1. two things may be alike in many ways, and yet very different in others. How germane are the similarities and how significant are the differences to the argument?
B. Examples:
V. Argument of the Beard (The Skeptics Fallacy)
"Fools! who from hence into the notion fall That vice or Virtue there is none at all. If white and black bend, soften and unite A thousand ways, is there no black or white? —A. Pope, Essay on Man , II. 211
A. Definition
How many whiskers does it take to make a beard? Surely one is not enough, but what about 25? We have difficulty in determining the exact number of hairs necessary for a beard, and we have difficulty in life determining where things fall out along a continuum. Life is full of cases, like a beard, that are arranged on a continuum from less to more. This fallacy is committed when you assert there is no real difference between extremes on the continuum. Here you get lost in the middle ground, in the inbetween state of shading or gray between the two extremes, and begin to doubt the existence of real differences between such obvious poles as good and evil, strong and weak, black and white, true and false. If a line is hard to draw, it is impossible to draw. Committing this fallacy reveals your inability to distinguish or recognize small differences where they are
In each of these there is the mistake of asking: What came before the first? But is there a category before first to put the answer in? No. The category "before" does not apply to the category "first." Such is logically impossible. Hence, Adam and Eve were the first parents; God is the first cause of all things; Lucifer caused his own sin by his free will; there was no moment before time began, just eternity.
II. Faulty Dilemmas
"There is small choice in rotten apples." Shakespeare, Taming of the Shrew , 1. 1 134-35.
A. Definition
Here you will remember the opponent forces one into an "either/or" answer when the question has a third alternative. He says: "Accept this or that," both of which are contrary to your viewpoint, but does not mention the third alternative.
B. Examples (see also material under dilemmas considered earlier)
III. Hypothesis Contrary to Fact (Golfer's Fallacy)
"For all sad words of tongue or pen, the saddest are these: "It might have been." —John Greenleaf Whittier
A. Definition
This is playing the "what if," "what might have been" game. When you take a "what if," a condition that never actually existed, and
then make it a genuine premise in a serious argument, then you have committed hypothesis contrary to fact. It says: "Accept this because it might have (or could have) been this way." Or, "If only I had made that putt, I would have parred that hole."
Things would have been different if this other hypothesis were true, but the fact of the matter is that the other hypothesis is not true. And even if it were true, there are so many other variables that could alter the perceived consequences of the hypothesis, you really don't know how things would have turned out anyway.
Argumentation is not about how things might have been, but how things actually are. No amount of what if can change it, and on factual grounds you will have to make your argument. You must leave the realm of speculation, and stick with the realm of reality. An argument that begins with "peradventure" has little to commend it beyond imaginative conversation and speculation.
Committing hypothesis contrary to fact can sometimes lead to unnecessary guilt feelings. If you make a decision that leads to unfortunate consequences, it is easy to think that if you had not made that decision, things would be much better now (this is true in regard to sin, however). But in amoral decisions (jobs, dates, major, marriage, etc.), you must remind yourself that better circumstances do not necessarily and automatically follow from different decisions (that would be non sequitor ). No one is perfect; no one is omniscient. Don't blame yourself for a regrettable decision if at the time you followed the best procedures of sound reasoning you knew at the time.
B. Examples
III. Prestige Jargon (and other language tricks)
fallacies of emotive language, hasty generalization, and ad hominem all at once).
IV. Slippery Slope Fallacy
A. Definition
This fallacy says: "Reject this position because it will automatically and irreversibly slip into that." This is the domino fallacy that suggests that an initial first position should be rejected because it will lead to other unhappy conclusions that are unacceptable. If A, then B, C, and D. And in some cases this might be true; but the fallacy is especially clear when the connection between one position and another is psychological in nature, and not logical in nature. Will B, C, and D necessarily follow, if at all. Don't reject A just because B, C, and D may follow. The fallacy is to assert that the connection is necessary or inevitable, but it may not be, and since it may not be, then A does not have to be rejected necessarily.
Some have called this fallacy the "camel's nose in the tent" fallacy because if a camel can get his nose in the tent, then the whole camel is sure to follow! Or it could be called the salesman's "foot in the door" to follow through with the same kind of imagery.
We must rather ask not if a position will lead to other things necessarily, but rather does the position itself have any independent evidence to justify it.
B. Examples
Are these below slippery slope or not?
V. Fallacies of Composition and Division
"And I thought like Dr. Faustus, of the emptiness of art, how we take a fragment for the whole, and call the whole a part." —Oliver Wendell Holmes
A. Fallacy of composition
a. H2 O is the same as H2, and O separately. b. Cells separate, and cells that make up a human being are identical. c. Two singles tennis champions will make up a championship doubles team. d. The all star team must be better than the regional champions because it is made up of the best players (here the whole may be less than the sum of its parts) e. I don't need to see the Dallas Arboretum; it's just made up of a bunch of flowers (here the whole will be more than the sum of its parts).
B. The fallacy of division
C. Non Causa Pro Causa (= "not the cause for the cause")
This simply is the mistake of taking something to be the cause of something when it is really not the cause at all (the mistake being other than temporal or spatial proximity as in the post hoc fallacy).