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Introduction Inductive Argument: an argument in which the premises are intended to provide support, but not conclusive evidence, for the conclusion. Strong Inductive Argument: an inductive argument in which the premises actually do make the conclusion more likely to be true (rather than false). Remember, strength comes in degrees. Cogent Inductive Argument: a strong inductive argument with true premises. How can you know if the argument is inductive? If the argument is invalid, the charitable thing to do is treat it as inductive. Indicator words: likely, probably, it’s plausible to suppose that, etc. 2 Inductive Generalizations Generalization: statement made about all or most members of a group. Inductive generalization: inductive argument that relies on characteristics of a sample population (i.e., a portion of the population) to make a claim about the population as a whole. i.e., an inductive argument with a generalization as a conclusion. Example: All the bass Hank caught in the Susquehanna have been less than 1lb. So, most of the bass in the Susquehanna are less than 1lb. 3 Making Inductive Generalizations stronger by making conclusions weaker. Notice… All the bass Hank caught in the Susquehanna have been less than 1lb. So, all of the bass in the Susquehanna are less than 1lb. ..is a pretty weak argument. Even if Hank fishes often, the Susquehanna is a big river and his catches are not enough to justify such a “sweeping conclusion.” However, if we changed the conclusion to “most of the bass are…” or, better yet, “many of the bass are…” the argument would be much stronger. 4 Practice Page 288, Exercise 11.1 5 Evaluating Inductive Generalizations Three questions to ask: Are the premises true? Use the skills you learned in chapter 8 to determine whether you are justified in accepting the premises. Is the sample large enough? In general, the larger the population you are generalizing about, the larger your “sample population” will need to be. Is the sample representative? Only if the sample shares all the relevant “percentages” with the population as a whole. Maybe Hank only fished with lures that were attractive to smaller fish. 6
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