Fallacies of Improper Structure
Begging the Question
Def: Either explicitly or implicitly using as the premise of an argument the same claim that is asserted as the conclusion of that argument.
Begging the Question
Ex.
Dylan: "This college is very paternalistic in its student policies."
Roman: "What reason do you have for saying that?"
Dylan: "Because they treat the students like children."
Reasoning.
Dylan is only providing a definition of paternalistic, not an argument.
Dylan: "This college is very paternalistic in its student policies."
Roman: "What reason do you have for saying that?"
Dylan: "Because they treat the students like children."
Reasoning.
Dylan is only providing a definition of paternalistic, not an argument.
Complex Question
Def: Formulating a question in a way that inappropriately presupposes that a definite answer has already been given to an unasked question about an open issue or that treats a series of questions as if the same answer will be given to each of the questions in the series.
Complex Question
Ex.
The most common form of this fallacy asks two questions, one of which is explicit and the other implicit. Consider the roommate who asks a fellow sophomore, “What fraternity are you going to pledge?”
Reasoning.
The interviewed roommate has not stated that he would like to join a fraternity.
The most common form of this fallacy asks two questions, one of which is explicit and the other implicit. Consider the roommate who asks a fellow sophomore, “What fraternity are you going to pledge?”
Reasoning.
The interviewed roommate has not stated that he would like to join a fraternity.
Question Begging Definition
Def: Using a questionable definition, disguised as an empirical premise, to support an empirical conclusion, which has the effect of making the empirical claim at issue true by definition.
Question Begging Definition
Ex.
Let us suppose that two people are discussing whether Christians drink alcoholic beverages. One rejects strong empirical evidence that many Christians do drink alcohol on the grounds that “if they were real Christians they would not drink.”
Reasoning.
It becomes clear that the person is not treating this as an empirical issue, and instead is defining a Christian as one who does not drink.
Let us suppose that two people are discussing whether Christians drink alcoholic beverages. One rejects strong empirical evidence that many Christians do drink alcohol on the grounds that “if they were real Christians they would not drink.”
Reasoning.
It becomes clear that the person is not treating this as an empirical issue, and instead is defining a Christian as one who does not drink.
Incompatible Premises
Def: Attempting to draw a conclusion from inconsistent or incompatible premises.
Incompatible Premises
Ex.
If God is omniscient, he knows about the evil in the world; if he is all-loving, he would want to prevent evil; and if he is all-powerful, he would prevent evil. And since God is omniscient, all-loving, and all-powerful, therefore, there is no evil (not E) because God knows about it, would want to prevent it, and would be capable of preventing it. But evil persists (E).
Reasoning.
Both E and not E. These premises thus leave us with a case of incompatible premises, from which no conclusion of any kind can be drawn.
If God is omniscient, he knows about the evil in the world; if he is all-loving, he would want to prevent evil; and if he is all-powerful, he would prevent evil. And since God is omniscient, all-loving, and all-powerful, therefore, there is no evil (not E) because God knows about it, would want to prevent it, and would be capable of preventing it. But evil persists (E).
Reasoning.
Both E and not E. These premises thus leave us with a case of incompatible premises, from which no conclusion of any kind can be drawn.
Contradiction Between Premise and Conclusion
Def: Drawing a conclusion that is incompatible with at least one of the premises.
Contradiction Between Premise and Conclusion
Ex.
Angela: "As an American, I can do anything I want. Freedom is what our ancestors fought and died for. Nobody can tell me what to do and what not to do."
Meghan: "But there are laws, Angela. Don't you have to obey the speed limit and not take money that doesn't belong to you?"
Angela: "Well, of course, you have to obey the law, but the government still can't tell me what to do."
Reasoning.
You can't have it both ways. You can't claim in your premise that the government can tell you what to do, and that is, “obey the laws,” and then claim in your conclusion that the government can't tell you what to do.
Angela: "As an American, I can do anything I want. Freedom is what our ancestors fought and died for. Nobody can tell me what to do and what not to do."
Meghan: "But there are laws, Angela. Don't you have to obey the speed limit and not take money that doesn't belong to you?"
Angela: "Well, of course, you have to obey the law, but the government still can't tell me what to do."
Reasoning.
You can't have it both ways. You can't claim in your premise that the government can tell you what to do, and that is, “obey the laws,” and then claim in your conclusion that the government can't tell you what to do.
Fallacy of the Elusive Normative Premises
Def: Drawing a moral, legal, or aesthetic judgment without using a discernible normative premise that provides a warrant for it.
Fallacy of the Elusive Normative Premises
Ex.
Moral Arguments that do not have a moral premise, Legal Arguments that do not have legal premise, Aesthetic Arguments that do not have aesthetic premises.
Reasoning.
Moral Arguments must have empirical moral premises, Legal Arguments must have legal premises (especially in a court of law), and Aesthetic Arguments must have empirical aesthetic premises (A movie is the best ever made, 88% of people on Rotten Tomatoes agree).
Moral Arguments that do not have a moral premise, Legal Arguments that do not have legal premise, Aesthetic Arguments that do not have aesthetic premises.
Reasoning.
Moral Arguments must have empirical moral premises, Legal Arguments must have legal premises (especially in a court of law), and Aesthetic Arguments must have empirical aesthetic premises (A movie is the best ever made, 88% of people on Rotten Tomatoes agree).
Fallacies of Deductive Inference
Denying the Antecedent
Def: Denying the antecedent of a conditional premise and then concluding the denial of the consequent.
Denying the Antecedent
Ex.
“Professor Lane told us that we would pass his course if we passed the final exam. So I guess I failed the course, because I failed the final.”
Reasoning.
However, Professor Lane did not say that the only way to pass the course would be to pass the final. There may be a number of other ways of passing the course in addition to passing the final exam. Although passing the final may be a sufficient condition for passing the course, it is not a necessary one. Therefore, failing the final—that is denying that the final was passed—cannot lead to the conclusion that one has failed the course.
“Professor Lane told us that we would pass his course if we passed the final exam. So I guess I failed the course, because I failed the final.”
Reasoning.
However, Professor Lane did not say that the only way to pass the course would be to pass the final. There may be a number of other ways of passing the course in addition to passing the final exam. Although passing the final may be a sufficient condition for passing the course, it is not a necessary one. Therefore, failing the final—that is denying that the final was passed—cannot lead to the conclusion that one has failed the course.
Affirming the Consequent
Def: Affirming the consequent of a conditional premise and then concluding the affirmation of the antecedent.
Affirming the Consequent
Ex.
“If you do very well on the SAT, you will probably get into a good college. Since you go to Centre College, which is a good school, you must have done well on the SAT.”
Reasoning.
The assumption in this argument is that the only way to get into a good school is to get a high score on the SAT, yet there are a number of other conditions that may be sufficient for getting into a good school, such as good grades, athletic prowess, and theatrical talent.
“If you do very well on the SAT, you will probably get into a good college. Since you go to Centre College, which is a good school, you must have done well on the SAT.”
Reasoning.
The assumption in this argument is that the only way to get into a good school is to get a high score on the SAT, yet there are a number of other conditions that may be sufficient for getting into a good school, such as good grades, athletic prowess, and theatrical talent.
Undistributed Middle Term
Def: Drawing a conclusion in a syllogism in which the middle term in the premises is not distributed at least once.
*Syllogism: an instance of a form of reasoning in which a conclusion is drawn (whether validly or not) from two given or assumed propositions (premises), each of which shares a term with the conclusion, and shares a common or middle term not present in the conclusion (e.g., all dogs are animals; all animals have four legs; therefore all dogs have four legs ).
*Syllogism: an instance of a form of reasoning in which a conclusion is drawn (whether validly or not) from two given or assumed propositions (premises), each of which shares a term with the conclusion, and shares a common or middle term not present in the conclusion (e.g., all dogs are animals; all animals have four legs; therefore all dogs have four legs ).
Undistributed Middle Term
Ex.
“Supporters of the Ku Klux Klan are against gun control (Universal Affirmative Statement), and Republicans are also against gun control (Universal Affirmative Statement), so Some Republicans must be supporters of the Klan (I).”
Reasoning.
The conclusion “some supporters of the Klan” cannot be drawn from the premises in this argument. In fact, no claim could be drawn because it is a structurally flawed argument. The middle term, people against gun control is not distributed, since it is the predicate of a universal affirmative statement. In the absence of a claim made about all the members of the class of people against gun control, there is no way to connect the end terms in the conclusion. In other words, there is no way of knowing whether any of the people against gun control who are supporters of the Klan are included in the class of people against gun control who are in the class of Republicans.
“Supporters of the Ku Klux Klan are against gun control (Universal Affirmative Statement), and Republicans are also against gun control (Universal Affirmative Statement), so Some Republicans must be supporters of the Klan (I).”
Reasoning.
The conclusion “some supporters of the Klan” cannot be drawn from the premises in this argument. In fact, no claim could be drawn because it is a structurally flawed argument. The middle term, people against gun control is not distributed, since it is the predicate of a universal affirmative statement. In the absence of a claim made about all the members of the class of people against gun control, there is no way to connect the end terms in the conclusion. In other words, there is no way of knowing whether any of the people against gun control who are supporters of the Klan are included in the class of people against gun control who are in the class of Republicans.
Illicit Distribution of the End Term
Def: Drawing a conclusion in a syllogism in which a distributed end term in the conclusion is not distributed in the premise.
Illicit Distribution of the End Term
Ex.
“Newly constructed homes are very expensive (Universally Affirmative Statement). Nevertheless, new homes are very energy efficient (Universally Affirmative Statement). So, an energy-efficient home is going to be expensive (Universally Affirmative Statement).”
Reasoning.
In the conclusion, the end term, energy-efficient homes, makes a claim about all energy-efficient homes, since it is the subject of a universally affirmative statement; but in the second premise, where the term appears as the predicate term of a universally affirmative statement, it is not distributed, that is, it makes no claim about every energy efficient home. Since the argument is structurally flawed, it cannot be concluded that energy-efficient homes are expensive.
“Newly constructed homes are very expensive (Universally Affirmative Statement). Nevertheless, new homes are very energy efficient (Universally Affirmative Statement). So, an energy-efficient home is going to be expensive (Universally Affirmative Statement).”
Reasoning.
In the conclusion, the end term, energy-efficient homes, makes a claim about all energy-efficient homes, since it is the subject of a universally affirmative statement; but in the second premise, where the term appears as the predicate term of a universally affirmative statement, it is not distributed, that is, it makes no claim about every energy efficient home. Since the argument is structurally flawed, it cannot be concluded that energy-efficient homes are expensive.
False Conversion
Def: Reversing the antecedent and consequent of a conditional premise or exchanging the subject and predicate terms in a universal affirmative or particular negative premise and then concluding that these converted premises retain their original truth value.
False Conversion
Ex.
“If all heroin addicts started by smoking marijuana, we can conclude that those who become marijuana users will turn into heroin addicts.”
Reasoning.
The argument seen in standard form is a simple but fallacious one.
All heroin addicts are persons who started as marijuana users, (premise). Therefore, all those who are marijuana users are persons who will be heroin addicts (conclusion).
From the assumed truth of the universal affirmative premise of this argument, one cannot conclude that the conversion of the premise is true.
“If all heroin addicts started by smoking marijuana, we can conclude that those who become marijuana users will turn into heroin addicts.”
Reasoning.
The argument seen in standard form is a simple but fallacious one.
All heroin addicts are persons who started as marijuana users, (premise). Therefore, all those who are marijuana users are persons who will be heroin addicts (conclusion).
From the assumed truth of the universal affirmative premise of this argument, one cannot conclude that the conversion of the premise is true.