9/11/2013 Concept Analysis Breaking down an idea, concept, theory, etc. into its most basic parts in order to get a better understanding of its structure. • This is necessary to evaluate the merits of the claim properly (is it a fact, probably true, possibly true, impossible?). Concept Analysis We begin with identifying the basic components of any argument: •argument indicators • premises • conclusions • assumptions 1 9/11/2013 1. All men are mortal 2. Socrates is a man Therefore, Socrates is mortal Anatomy of an Argument Proposition: A statement or sentence that declares something to be true. (It is snowing outside, killing people is wrong, there is an invisible dragon in my garage). Premise: Any proposition used as evidence to support another proposition. 1. All men are mortal 2. Socrates is a man Therefore, Socrates is mortal 2 9/11/2013 Anatomy of an Argument Inference: An inference is the move one makes from reasons to a conclusion. • When we conclude that something is true in the light of some set of reasons we have made an inference. Inferences can either be justified (valid) or unjustified (invalid) depending on what support the reasons give to the conclusion. 1. All men are mortal 2. Socrates is a man Therefore, Socrates is mortal Premise 1. All men are mortal 2. Socrates is a man *inference* Therefore, Socrates is mortal Conclusion 3 9/11/2013 Concept Analysis: Argument indicators Argument indicators: language that commonly indicates the presence of reasons or conclusions. 1. conclusion indicators: words that point to a conclusion that has been reached. Examples: “Therefore…” •So •Hence •Consequently •Which Proves… •Which Establishes… •Justifies the view that… •In conclusion •From which we can infer… •It follow that… •Demonstrates that… Concept Analysis: Argument indicators Argument indicators: language that commonly indicates the presence of reasons or conclusions. 2. reason indicators: words that point to a reason that has been offered in support of a conclusion. Examples: “because…” •Since •For •Follows form the fact that •The reasons are •First, second, etc. •If…then 4 9/11/2013 Concept Analysis: Checking for assumptions Check for assumptions. In your analysis could you find any assumptions… a) That seem likely in the context b) Which must be added to the argument to make sense of what is said c) Which seem necessary to make the reasoning as strong as possible. Concept Analysis: Argument Key <Reasons/Premise> [Conclusions] Argument indicators Assumptions: <I want you to be strong, confident Independent thinkers> so [I’m teaching You how to analyze arguments] Assumption: •analyzing arguments will make Someone a strong, etc. thinker (stated) • That you are not already actively doing these things (unstated) Will be written out 5 9/11/2013 Concept Analysis: diagramming arguments Arguments can get very long and complicated. When this happens it is useful to construct a diagram of the argument to illustrate how the premises support the conclusion. Argument Patterns: 1. Vertical Pattern or chain. The premise directly supports a conclusion which can become the premise for another conclusion further down the chain. Each link in the chain depends on the others. Concept Analysis: diagramming arguments Arguments can get very long and complicated. When this happens it is useful to construct a diagram of the argument to illustrate how the premises support the conclusion. Argument Patterns: 2. Horizontal Pattern In a horizontal pattern each premise supports the conclusion independently 6 9/11/2013 Concept Analysis: diagramming arguments Arguments can get very long and complicated. When this happens it is useful to construct a diagram of the argument to illustrate how the premises support the conclusion. Argument Patterns: 3. Conjoint Premises When two or more premises support a Conclusion conjointly. On it’s own, neither Premise would lend any support to the conclusion. But together they can lend support. *this relationship can be reversed where one Or more Premises support multiple conclusions Concept Evaluation: Deductive vs Inductive Arguments All arguments fall into one of two categories: deductive arguments and inductive arguments. Deductive arguments: where the conclusion follows with certainty. In a good deductive argument it is impossible for the conclusion to be false supposing the premises are true (whether they are actually true in reality is irrelevant to validity). 7 9/11/2013 Concept Evaluation: Deductive vs Inductive Arguments All arguments fall into one of two categories: deductive arguments and inductive arguments. Inductive arguments: Arguments where the conclusion probably follows from the premises. In a good inductive argument it is improbable that the conclusion is false, if the premises are true. Inductive arguments are judged by the probability of their conclusions being true (supposing their premises are true). Concept Evaluation: Deductive Arguments Once we’ve determined the structure of an argument & whether it is intended to be a deductive or inductive argument we can start to determine if the argument is any good. Here are the terms we will be using for evaluation of deductive arguments: Valid – the premises support the conclusion Invalid—the premises do not support the conclusion Sound—valid, with true premises Unsound—either invalid or valid, with false premises 8 9/11/2013 Valid vs. Sound Arguments All men are mortal Socrates is a man Therefore, Socrates is mortal 1. All S are P. 2. All M are S Therefore: All M are P. Standard Form Categorical Syllogism 1. All persons who are men (S) are persons who are mortal (p) 2. All persons identical to Socrates (m) are persons who are men (S) Therfore, All persons identical to Socrates are persons who are mortal (When arguments are translated into the standard form for a categorical syllogism they sometimes look a little awkward) Concept Evaluation: Valid vs. Sound Arguments Arguments can still be valid even if the reasons are not actually true. • An argument’s validity depends only on the support the reasons give to the conclusion. This means you do not even need to know if the reasons are true or false to refute some arguments. 9 9/11/2013 Sound Valid Deductive Arguments Unsound Invalid (all are unsound) Concept Evaluation: refuting bad arguments Refutation: The act of showing some claim or argument to be false. Can be accomplished either by… 1. Attacking the inference • Show the that the reasons, even if true do not support accepting the conclusion (i.e. Invalid) 2. Attack the premises • Show one or more of the premises to be false, misleading or inaccurate (i.e. Unsound). 10 9/11/2013 Concept Evaluation: refuting bad arguments Attacking the Inference: Two “simple” methods of proving Invalidity 1. The Counter-Example method 2. Identify fallacies Concept Evaluation: refuting bad arguments The Counter Example Method: 1. Isolate the arguments form by substituting letters for the terms contained in the premises. 2. While keeping the form of the argument intact substitute new terms for the old ones– (this is called a “substitution instance”) 3. See if you can construct a substitution instance with true premises but a false conclusion. If you can, the form of the argument is invalid. 11 9/11/2013 Example #1 If I get the flu then I will experience cough, fever and chills I am experiencing cough, fever and chills Therefore I have the flu Example #1 If [I get the flu] then [I will experience cough, fever and chills] [I am experiencing cough, fever and chills] Therefore [I have the flu] If p then q. q. Therefore, p p = Its Monday q = The Banks are Open 12 9/11/2013 Example #1 If it’s Monday then the banks will be open The Banks are open Therefore it’s Monday If p then q. q. Therefore, p p = Its Monday q = The Banks are Open Mistake: “Affirming the Consequent” Valid Form (Affirming the Antecedent) If I get the flu then I will experience cough, fever and chills I am experiencing cough, fever and chills Therefore I have the flu If p then q. q. Therefore, p. If I get the flu then I will experience cough, fever and chills I have the flu Therefore I am experiencing cough fever and chills If p then q. p. Therefore, q. 13 9/11/2013 Example #2 If acupuncture was a dangerous procedure then it would be foolish to try it Acupuncture is not a dangerous procedure Therefore it is not foolish to try it Example #2 If [acupuncture was a dangerous procedure] then [it would be foolish to try it] [Acupuncture] is not [a dangerous procedure] Therefore [it is not foolish to try it] If p then q. Not-p. Therefore, not -q p = It’s a cat q = It’s furry 14 9/11/2013 Example #2 If It’s a cat then its furry It is not a cat Therefore it is not furry If p then q. Not-p. Therefore, not -q p = It’s a cat q = It’s furry Mistake: “Denying the Antecedent” Valid Form (Denying the consequent) If acupuncture was a dangerous procedure then it would be foolish to try it Acupuncture is not a dangerous procedure Therefore it is not foolish to try it If p then q. Not-p. Therefore, not -q If acupuncture was a dangerous procedure then it would be foolish to try it It is not foolish to try it Therefore acupuncture is not a dangerous procedure. If p then q. Not-q. Therefore, not-p. 15 9/11/2013 Concept Evaluation: refuting bad arguments Attacking the Inference: Two “simple” methods of proving Invalidity 1. The Counter-Example method 2. Identify fallacies Fallacies are common errors in reasoning. These invalid arguments are easy to spot with some training but often appear valid to the casual observer. Formal vs Informal Fallacies • All the examples we just reviewed are Formal Fallacies- the mistake can be detected just by looking at its form • With Informal Fallacies we must look beyond the form to the actual content of the argument in order to detect the mistake in reasoning. • The following are all cases of informal fallacies… 16 9/11/2013 Post Hoc Fallacy • Post hoc ergo propter hoc – “after this, therefore because of this” • Example: “More and more young people are attending high schools and colleges today than ever before. Yet there is more juvenile delinquency and more alienation among the young. This makes it clear that these young people are being corrupted by their education.” • When we assume that because event Y followed after event X, event X was the cause of event Y . • “Correlation does not (necessarily) equal causation” Appeal To Ignorance • An appeal to ignorance is an argument for or against a proposition on the basis of a lack of evidence against or for it. If there is positive evidence for the conclusion, then of course we have other reasons for accepting it, but a lack of evidence by itself is no evidence • There is no evidence against p. Therefore, p. • There is no evidence for p. Therefore, not-p. • “Absence of evidence is not evidence of Absence…” 17 9/11/2013 Examples Appeal To Ignorance Atheist • “A god cannot possibly exist—there is simply no evidence to suggest such a being is or ever has been active in the world” Theist • “Atheists have strived in vein to kill god, but Science cant disprove God…God is real” Begging The Question • Any form of argument in which the conclusion occurs as one of the premises, or a chain of arguments in which the final conclusion is a premises of one of the earlier propositions in the chain. – More generally, an argument begs the question when it assumes any controversial point not conceded by the other side. 18 9/11/2013 Begging the Question = Circular Reasoning “Chocolate Ice cream is my favorite because I think it’s the best!” “The Governor must be innocent, because he would never do such a thing.” “Society has an obligation to support the needy because those who cannot provide for themselves have a right to the resources of the community” Because it is the word of God God exists Why should we trust the Bible? How do you know? The Bible Says He does Straw Man • The Straw Man fallacy is committed when a person simply ignores a person's actual position and substitutes a distorted, exaggerated or misrepresented version of that position. 19 9/11/2013 Straw Man Examples • “Environmentalists care more for snail darters and spotted owls than they do for people” • “So called Pro-life people are really anti-woman. They don’t think women should have rights, after all they are just be baby-making factories.” • “My opponent prefers raising taxes to cutting unnecessary spending” • “Those people that want to teach our kids about sex and condoms in schools think its just fine if our children are promiscuous” Complex Question • Two or more questions are asked in the guise of a single question expecting a single answer given to both of them. The person questioned is led or trapped into affirming a false conclusion simply by answering the question. Have you stopped plagiarizing your papers? Is President Bush lying about 9/11 again? Why is Barack Obama afraid of people seeing his birth certificate? 20 9/11/2013 Complex Question Leading Question “Tell us, on the night of April 9th did you see the defendant shoot the deceased?” Straightforward Question “What did you see on the night of April 9th?” Red Herring • Arguer diverts the attention of the audience away from the subject to a different (sometimes related) subject. They either finish by drawing a conclusion from this different issue or by merely pretending the original conclusion has been established. “Environmentalists complain about the dangers of nuclear power but unfortunately electricity is dangerous no matter where it comes from. Every year hundreds of people are electrocuted by accident.” 21 9/11/2013 False Dichotomy/Dilemma Fallacy • The fallacy of false dichotomy is committed when the arguer claims that his conclusion is one of only two options, when in fact there are other possibilities. The arguer then goes on to show that the 'only other option' is clearly outrageous, and so his preferred conclusion must be embraced (FF). • Example: “Either I keep smoking, or I'll get fat. I don't want to get fat, so I better keep smoking.”(FF) • Example: “Either your with us or your with the terrorists” False Compromise Fallacy • An argument that assumes that with any debatable topic the truth must lie somewhere in the middle— regardless of the quality of reasoning presented for the arguments. • Example: “I guess the truth is somewhere in the middle…” • Example: “On the one side anti-tobacco crusaders make strong claims about how dangerous tobacco is. And the tobacco companies don’t admit that its dangerous at all…I think the truth is probably somewhere in between these two extremes. 22 9/11/2013 Hasty Generalization Fallacy • To make a hasty generalization is to make a judgment about a group of things on the basis of evidence concerning only a few members of that group. • Example: "I know one of those insurance salesmen. You can't trust any of them." Hasty Generalization Fallacy • Statisticians refer to this error as the failure to consider sample size. Accurate judgments about a group can be made on the basis of a sample only if the sample is sufficiently large and every member of the group has an equal chance to be part of the sample (Schick 140). 23 9/11/2013 Slippery Slope • A claim that some event must inevitably follow from another, usually as a chain reaction, when there is not sufficient reason to think that the chain reaction will actually take place. “If we allow a ban on ‘partial birth’ abortion, then soon all abortions will become illegal.” “If we allow a ban on assault weapons soon they will try to take away our hand guns as well” Subjective Fallacies • Subjectivist fallacies in one way or another dispense with objectivity and introduce bias or prejudice. • Subjectivist fallacies introduce bad premises which cannot support an objective conclusion. 24 9/11/2013 Appeal to Emotion • An appeal to emotion is a type of argument which attempts to arouse the emotions of its audience in order to gain acceptance of its conclusion. Appeals to emotion are always fallacious when intended to influence our beliefs, but they are sometimes reasonable when they aim to motivate us to act (FF). • “My opponent likes to use every chance he gets to drag our country’s name in the Dirt...I question his patriotism. I on the other hand believe America is the greatest country on earth.” • “Marijuana is so dangerous, scientists don’t even know some of the ways in which it might be harmful.” Appeal to Majority/Bandwagon Fallacy • Bandwagon arguments attempt to persuade by appealing to a popular sentiment, such as patriotism, loyalty, tradition, custom, etc. But whether the group thinks something is not a reason why something is correct. • A proposition must be judged by evidence, not by consensus. 25 9/11/2013 Fallacies of Credibility • We all need to trust the word of authorities to some degree. But in order for an authority to be credible, they must fulfill at lest 2 conditions 1. They should have relevant expertise on the subject in question. 2. They are reporting on what they know objectively through reason and evidence, without distortion or prejudice Fallacies of credibility use authorities in a way that violate these standards. Ad Hominem or “against the man” • A debater commits the Ad Hominem Fallacy when he introduces irrelevant personal premises about his opponent. Such red herrings may successfully distract the opponent or the audience from the topic of the debate. • “Pay no attention to what he says, he’s just a loud mouth conservative lunatic…” • “You sir are a disgrace, you should be ashamed of yourself, I don’t know how you sleep at night…” • “Why should I trust what you say about abortion, you are a Priest, you need to believe it’s a sin.” 26 9/11/2013 Appeal to Authority • The fact that some authority says something is taken as proof of its truthfulness; this is to be distinguished from the word of an authority lending credibility to some claim. • • “President Richard Nixon should be re-elected because he has a secret plan to end the war in Southeast Asia” “my parents taught me that spanking is the most effective means of control” Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question Either we require forced sterilization of the third world peoples or the world population will explode and all of us will die. We certainly don’t want to die, so we must require forced sterilization. 27 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question Either we require forced sterilization of the third world peoples or the world population will explode and all of us will die. We certainly don’t want to die, so we must require forced sterilization. Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question The position open in the accounting department should be given to Frank Thompson. Frank has six hungry children to feed, and his wife desperately needs an operation to save her eyesight. 28 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question The position open in the accounting department should be given to Frank Thompson. Frank has six hungry children to feed, and his wife desperately needs an operation to save her eyesight. Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question Some of the parents in our school district have asked that we provide bilingual education in Spanish. This request will have to be denied. If we did provide this service soon people would ask for bilingual education in Greek. Then it will be German, French, and Hungarian they are asking for. Soon after we might be asked to provide teaching in Polish, Russian, Chinese, Korean. We simply cannot accommodate all of them. 29 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question Some of the parents in our school district have asked that we provide bilingual education in Spanish. This request will have to be denied. If we did provide this service soon people would ask for bilingual education in Greek. Then it will be German, French, and Hungarian they are asking for. Soon after we might be asked to provide teaching in Polish, Russian, Chinese, Korean. We simply cannot accommodate all of them. Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question People who lack humility have no sense of beauty because everyone who possess a sense of beauty is humble. 30 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question People who lack humility have no sense of beauty because everyone who possess a sense of beauty is humble. Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question Sylvia, I saw you shopping for wine the other day. Incidentally, are you still drinking excessively? 31 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question Sylvia, I saw you shopping for wine the other day. Incidentally, are you still drinking excessively? Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question We’re all familiar with the complaint that over 40 million Americans are without health insurance. But Americas doctors, nurses, and hospitals are among the best in the world. Thousands of people come from abroad every year to be treaded here. Clearly there is nothing wrong with our health care system. 32 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question We’re all familiar with the complaint that over 40 million Americans are without health insurance. But Americas doctors, nurses, and hospitals are among the best in the world. Thousands of people come from abroad every year to be treaded here. Clearly there is nothing wrong with our health care system. Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question On Friday I took Virginia out to dinner. She told me that if I wasn’t interested in a serious relationship, I should forget about dating her. On Saturday I took Margie to a film. When we discussed it afterward over a drink, she couldn’t understand why I wasn’t interested in babies. Women are all alike. All they want is a secure marriage. 33 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question On Friday I took Virginia out to dinner. She told me that if I wasn’t interested in a serious relationship, I should forget about dating her. On Saturday I took Margie to a film. When we discussed it afterward over a drink, she couldn’t understand why I wasn’t interested in babies. Women are all alike. All they want is a secure marriage. Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question After reading “Homosexuals in the Churches” I’d like to point out that I don’t know any serious, capable exegetes who stumble over Saint Paul’s denunciation of homosexuality. Only a fool can fail to understand the plain words of Romans 1 that homosexuals become that way because of their own lusts. 34 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question After reading “Homosexuals in the Churches” I’d like to point out that I don’t know any serious, capable exegetes who stumble over Saint Paul’s denunciation of homosexuality. Only a fool can fail to understand the plain words of Romans 1 that homosexuals become that way because of their own lusts. Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question The death penalty is the punishment for murder. Just as we have long jail terms for armed robbery, assault and battery, fraud, etc. and fines for speeding or traffic violations, so we must have a punishment for murder. Yes the death penalty will not deter murders any more than a speeding ticket will deter violating speed laws, but it is the punishment for such violation! 35 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question The death penalty is the punishment for murder. Just as we have long jail terms for armed robbery, assault and battery, fraud, etc. and fines for speeding or traffic violations, so we must have a punishment for murder. Yes the death penalty will not deter murders any more than a speeding ticket will deter violating speed laws, but it is the punishment for such violation! Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question If the advocates of prayers in public schools win on this issue, just where will it end? Perhaps next they will ask for prayers on public transportation? Prayers by government workers before they start their job each day? Or maybe mandatory prayers in public restaurants before starting each mean might be a good deal. 36 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question If the advocates of prayers in public schools win on this issue, just where will it end? Perhaps next they will ask for prayers on public transportation? Prayers by government workers before they start their job each day? Or maybe mandatory prayers in public restaurants before starting each mean might be a good deal. Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question As corporate farms continue to gobble up smaller family farms, they control a larger percentage of the grain and produce raised in the US. Some have already reached a point in size where, if they should decide to withhold their grain and produce from the marketplace, spot shortages could occur and higher prices would result. The choice is to pay us family farmers now or pay the corporations later. 37 9/11/2013 Name The Fallacy Appeal to Authority Ad Hominem Appeal to ignorance Begging the Question Straw Man Post Hoc Fallacy Hasty Generalization False Dichotomy Slippery Slope Appeal to Emotion Bandwagon Red Herring Complex Question As corporate farms continue to gobble up smaller family farms, they control a larger percentage of the grain and produce raised in the US. Some have already reached a point in size where, if they should decide to withhold their grain and produce from the marketplace, spot shortages could occur and higher prices would result. The choice is to pay us family farmers now or pay the corporations later. Concept Evaluation: Inductive Arguments But what if we cant prove our conclusion is 100% certain, based on our premises? Is our argument, necessarily a bad one? Arguments that provide us less-than-certain conclusions are called inductive arguments. Inductive arguments are judged by the probability of their conclusions being true (supposing their premises are true). 38 9/11/2013 Concept Evaluation: Inductive Arguments Here are the terms we will be using for evaluation of Inductive arguments: Strong – the premises make the conclusion more likely to be true Weak—the premises do not make the conclusion more likely true Cogent—strong, with true premises Uncogent—either strong or weak, with false premises Cogent Strong Inductive Arguments Uncogent Weak (all are uncogent) 39 9/11/2013 Does the strength of the inference increase or decrease? Increase Decrease No impact Strong Weak Cogent Uncogent Jessica has long admired Rachel’s near-perfect body, and she notes that Rachel works out on a Roboflex exercise machine. Jessica concludes that if she buys a Roboflex for herself she will be able to duplicate Rachel’s results. Does the strength of the inference increase or decrease? Increase Decrease No impact Strong Weak Cogent Uncogent Jessica has long admired Rachel’s near-perfect body, and she notes that Rachel works out on a Roboflex exercise machine. Jessica concludes that if she buys a Roboflex for herself she will be able to duplicate Rachel’s results. 40 9/11/2013 Bayes Theorem Bayes Theorem The probability our idea is true How typical our explanation is X { TheRepeat above } + How likely the evidence is if our idea is true = How atypical our explanation is X How likely the evidence if our idea is not true } 41 9/11/2013 Concept Evaluation: Inductive Arguments There are many different kinds of Inductive arguments, here are a few: Prediction- an argument that proceeds from our knowledge of the past to a claim about the future Argument from analogy – an analogy is drawn between a well known or uncontroversial case (X) and a lesser known case or controversial case (Y). If the two cases are similar enough, then a feature that is true of X may also be true of y. Generalization – proceeds from knowledge of a selected sample to a general claim about the whole group. Causal Inference – an argument that proceeds from the knowledge of a cause to a claim about an effect or vice versa. What kind of Inductive Argument is this? Prediction Analogy Generalization Causal Inference Strong Weak Cogent Uncogent Paying off terrorists in exchange for hostages is not a wise policy, since such action will only lead them to take more hostages in the future. 42 9/11/2013 What kind of Inductive Argument is this? Prediction Analogy Generalization Causal Inference Strong Weak Cogent Uncogent Paying off terrorists in exchange for hostages is not a wise policy, since such action will only lead them to take more hostages in the future. What kind of Inductive Argument is this? Prediction Analogy Generalization Causal Inference Strong Weak Cogent Uncogent Eddie has lost at the craps table for the last ten throws of the dice. Therefore, it is extremely likely that he will win on the next throw. 43 9/11/2013 What kind of Inductive Argument is this? Prediction Analogy Generalization Causal Inference Strong Weak Cogent Uncogent Eddie has lost at the craps table for the last ten throws of the dice. Therefore, it is extremely likely that he will win on the next throw. What kind of Inductive Argument is this? Prediction Analogy Generalization Causal Inference Strong Weak Cogent Uncogent Airline passages must go through a metal detector and/or pat down to make sure they do not bring any dangerous weapons on board. Similarly concert venues should use the same procedures to prevent alcohol and drugs from being carried into rock concerts. 44 9/11/2013 What kind of Inductive Argument is this? Prediction Analogy Generalization Causal Inference Strong Weak Cogent Uncogent Airline passages must go through a metal detector and/or pat down to make sure they do not bring any dangerous weapons on board. Similarly concert venues should use the same procedures to prevent alcohol and drugs from being carried into rock concerts. What kind of Inductive Argument is this? Prediction Analogy Generalization Causal Inference Strong Weak Cogent Uncogent So far every cat that has been tested for self-knowledge in the laboratory has failed to recognize itself (as itself) in the mirror. It is likely that no cats have the ability for self-knowledge. 45 9/11/2013 What kind of Inductive Argument is this? Prediction Analogy Generalization Causal Inference Strong Weak Cogent Uncogent So far every cat that has been tested for self-knowledge in the laboratory has failed to recognize itself (as itself) in the mirror. It is likely that no cats have the ability for self-knowledge. Concept 3 Quick Standards for Judging Validity/Cogency Bulletproof: Deductive Validity: Can you think of any way the reason(s) could be true and the conclusion false (however unlikely)? Very Strong: Proved Beyond a Reasonable Doubt: If the reasons are true (or otherwise acceptable) would a rational person have any real doubt about whether the conclusion is true (or otherwise acceptable?)” Acceptable: Shown to be more likely than not On the Balance of Evidence: If the reasons are true, is the probability of the conclusion being true more likely than it not being true (given all available evidence)? 46 9/11/2013 47