Deductive and Inductive Reasoning PPT by Denise Gill
Deductive and Inductive Reasoning PPT by Denise Gill Created using: Kirszner, Laurie G. and Stephen R. Mandell. Patterns for College Writing: A Rhetorical Reader and Guide. New York: Bedford St. Martins, 2003. Most arguments use a combination of inductive and deductive reasoning.
Deductive Reasoning Deductive reasoning starts with a general premise or assumption, and then moves to a specific conclusion. Most people would call deductive reasoning formal logic.
Inductive Reasoning Inductive reasoning moves the reverse way; it proceeds from individual observations to a more general conclusion. Induction has no strict form.
Syllogism The basic form of a deductive argument. A syllogism is a three-step argument consisting of a major premise which is usually a general statement; a minor premise, which is related but more specific statement; and a conclusion, which has to be drawn from those premises.
Classic Syllogism Example Major premise: All men are mortal. Minor premise: Socrates is a man. Conclusion: Therefore, Socrates is mortal.
A Generic Syllogism Example Major premise: All CIF track finalists are fast. Minor premise: Natalie is a CIF finalist in the 400. Conclusion: Therefore Natalie is fast.
Validity When a conclusion follows logically from the major and minor premises, then the argument is said to be valid.
Valid? Major premise: All rectangles are parallelograms. Minor premise: All squares are parallelograms. Conclusion: Therefore, all rectangles are squares. Although both rectangles and squares are parallelograms, squares are not included in the major premise of the syllogism. Thus, the form of the syllogism is defective, and the argument is invalid.
Truth in Syllogisms Even if the syllogism is valid, its conclusion will not necessarily be true. For example: Major premise: All Asians are math geniuses. Minor premise: Bartholomew is Asian. Conclusion: Therefore, Bartholomew is a math genius. Bartholomew is an artist who struggles in math. The conclusion is false because the major premise is false: ethnicity does not automatically determine academic success in a particular area.
Untrue Premises and Prejudice is frequently directly tied to untrue premises. Major premise: All Asians are bad drivers. Minor premise: Sally is Asian. Conclusion: Sally is a bad driver.
Induction Explained Induction does not have a distinct form; it is more of a gathering of information. As a result, its conclusions are less definitive that those of valid and true syllogisms. Induction is necessary in argumentation, though, because very little may be absolutely narrowed to a syllogism.
1. First usually comes a question to be answered or especially in scientific work, a tentative answer to such a question, called a hypothesis. 2. Then you gather all the evidence you can find that is relevant to the question and that may be important to finding the answer. 3. Finally you draw a conclusion, often called an inference, that answers the question and takes the evidence into account. (Kirszner 533)
For Example: How did that living room window break? Evidence: There is a baseball on the living-room floor. The baseball was not there this morning. Some children were playing baseball this afternoon. They were playing in the vacant lot across from the window. They stopped playing a little while ago. They aren’t in the vacant lot now. This example is from Kirszner (535).
Conclusion: One of the children hit or threw the ball through the window. Then they all ran way.
Weaknesses in Inductive Conclusions The conclusion seems obvious because it takes all of the evidence into account. BUT. . . What if it turned out that the children had been playing softball? And just because the conclusion is believable does not necessarily make it true. What if the ball had been in the living room all day, but nobody noticed it until after the window was broken? These kind of arguments are frequently used in court cases.
More information= Better inductive argument The more information you gather the better your chances of establishing your conclusion. One way to infer a conclusion is to think of as many conclusions as possible, then to choose the one you think is most believable and fits the evidence best. “Jumping to a conclusion” amounts to a premature inductive leap. In order to create an effective argument using inductive reasoning a speaker/writer should be sure that his or her personal bias has not influenced the conclusion. (Kirszner 537)
Effective Arguments with Deductive and Inductive Reasoning: The Declaration of Independence Major premise: Tyrannical leaders deserve no loyalty Jefferson states this as one of those Truths that is “self-evident. ”
“We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness. . . whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government. . . when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security. . . ”
Minor Premise: King George III is a tyrannical ruler. The majority of the Declaration focuses on proving this. Jefferson uses inductive reasoning to prove this point, providing evidence of the King's transgressions to conclude he is tyrannical. .
“He has refused his Assent to Laws, the most wholesome and necessary for the public good. He has forbidden his Governors to pass Laws of immediate and pressing importance, unless suspended in their operation till his Assent should be obtained; and when so suspended, he has utterly neglected to attend to them. He has refused to pass other Laws for the accommodation of large districts of people. . . ” [This is the beginning of an extensive list. ]
Conclusion: Therefore, King George deserves no loyalty. The conclusion of Jefferson's argument is logical and sound.
To Kill a Mockingbird and Reasoning The court case in To Kill a Mockingbird uses deductive and inductive argumentation. Major premise: All black men are evil. Minor premise: Tom Robinson is a black man. Conclusion: Therefore Tom Robinson is evil. Atticus uses his closing arguments to attack the false major premise. Atticus also uses inductive reasoning to show that it was impossible for Tom to commit the crime.