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Chapter 4: Inductive Arguments. This chapter will cover. The use of statistical evidence in arguments The reporting of statistical data The use of causal generalizations. Inductive Reasoning. Inductive Reasoning. Evidence offers strong support ‘beyond a reasonable doubt’.
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Chapter 4: Inductive Arguments This chapter will cover • The use of statistical evidence in arguments • The reporting of statistical data • The use of causal generalizations
Inductive Reasoning Inductive Reasoning • Evidence offers strong support ‘beyond a reasonable doubt’
Inductive Reasoning Likely to be true • Evidence is strong support but it is not 100% certain. • Evidence gives weight but not certainty.
Inductive Reasoning Using evidence • The strength of a conclusion is based on the quality of evidence used to support the conclusion.
Reasoning Inductive Deductive The horn is powered exclusively by electricity from the battery. The battery is dead. Conclusion? • Cycle - bump- misfire • Cycle - bump - misfire • Cycle - smooth road - it does not misfire • Cycle – 3rd bump-misfire Conclusion?
Inductive Reasoning Induction • Drawing generalizations from known facts – research, statistical evidence • Finding truth by making observations
Statistical Evidence Why we use statistics • Control over the unknown • To make predictions and decisions • To anticipate accurate information • Connect patterns in our lives
Statistical Evidence Statistical Evidence Statistical generalizations Inferences from statistical evidence Leads to Data collected by polling and research studies Gallup poll How people vote Harris poll
How Research is Done Three questions • What do I want to find out? Characteristic of interest 2. Whom do I want to know about? Target population 3. Whom can I study to get accurate answers? Sample
Sample Members of the target population • Must be large enough • Must be random • Must be representative
Skill Analyze the quality of statistical evidence by noting the size, representation, and randomness of the sample
Sample Reliability • Sample size 1,000 randomly selected individuals 2. Representative If not it is biased 3. Significant characteristics Sometimes difficult to know 4. Biased questions Loaded or leading questions
Causal Generalizations Reasons • Eliminate difficulties • Prevent future problems • Human curiosity
Hume’s Method Hume’s Conditions Interpretation If one thing causes another, the cause must come before the effect The need for a relationship in time and space between cause and effect Chart a tendency 1. X, the cause, precededy, the effect, in time 2. X and y are contiguous (in contact with one another) in time and place. 3. There is a history of (1) and (2); that is, there is a history of x preceding y and of x and y being related in time and place
Hume’s conditions Considerations • “Correlation is not causation.” • A “third-variable” could be the source of the relationship.
Cause and Effect Technical Causation • Necessary condition- condition must be present if the effect is present • Sufficient condition- if condition is present, effect will definitely occur
StopandThink It has been said that holding elections is a necessary but not a sufficient condition for establishing a democracy. What do you believe would be other necessary factors that would become sufficient for establishing a democratic government?
Mill’s Analysis John Stuart Mill • Canons • Foundational to controlled studies
Mill’s Analysis Method of Agreement Method of Difference The only difference between (Y) happening or not is whether one element (X ) is present If: X is present then Y occurs X is not present then Y does not occur • X is the only factor always present when Y occurs: Therefore, X causes Y
Chapter 4: Inductive Arguments Checkup • Uses of statistical generalizations • Multiple causes of a problem • Problems with statistical evidence • Sample, target audience, characteristic of interest • Cause and effect- Hume and Mill’s