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picture1_13 Ling 21   Lecture 13   Inductive Reasoning


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File: 13 Ling 21 Lecture 13 Inductive Reasoning
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 ...

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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. 
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...Introduction inductive argument an in which the premises are intended to provide support but not conclusive evidence for conclusion strong actually do make more likely be true rather than false remember strength comes degrees cogent a with how can you know if is invalid charitable thing treat it as indicator words probably s plausible suppose that etc generalizations generalization statement made about all or most members of group relies on characteristics sample population i e portion claim whole example bass hank caught susquehanna have been less lb so making stronger by conclusions weaker notice pretty weak even fishes often big river and his catches enough justify such sweeping however we changed better yet many would much practice page exercise evaluating three questions ask use skills learned chapter determine whether justified accepting large general larger generalizing your will need representative only shares relevant percentages maybe fished lures were attractive smaller fish...

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