Essential Questions How can new knowledge be acquired using inductive logic? What is more certain, the conclusions drawn from deductive or inductive reasoning? What are some of the issues with depending on inductive reasoning as a way of knowing? Comparing Inductive vs. Deductive Reasoning Inductive reasoning starts from a specific set of observations and leads to a general conclusion. Deductive reasoning starts from a general statement/premise and leads to a specific conclusion. Thinking … Since inductive reasoning moves from the observed to the unobserved it enables us to make everyday generalizations or inferences about things we observe. For example: since my neighbors dog is always friendly to me when I walk past it I am confident that it will not bite me today. Can you think of any everyday examples of inductive reasoning you have used recently? Use of Inductive Reasoning in Marketing and Statistics Statistics makes general statements about a general population using data collected from a random sample. Used in many fields: drug development, medical research, insurance, economics, psychology, engineering, environmental science, engineering. . . Correlations are drawn between the observations made and the possible factors that contribute to their occurrence or cause. Issues with Inductive Reasoning: We cannot totally rely on what we observe with our senses. How many examples do you need to observe before a general conclusion can be drawn? Statistics that use inductive reasoning can be misused, distorted, and misinterpreted especially if they make generalizations beyond what the data allows. Inductive reasoning produces only general statements so you can never guarantee the truth of the conclusions made. Generalizations … What distinguishes a good generalization? 1. You should look at a reasonable number of instances. If you see one dog swimming, this is not enough to conclude that all dogs can swim. 2. You should look at a variety of circumstances. Look at a variety of different breeds of dogs swimming. 3. You should actively look for counter examples. Ask if anyone has seen a dog that can’t swim. 4. You should demand more evidence (coherence) to support surprising claims. 5. You should be aware of the subject area and keep in mind that generalizations in the natural sciences are more reliable than those in the social sciences. Lateral Thinking – Creative Reasoning Since we cannot not rely entirely on inductive or deductive reasoning as a way of knowing there are times we need to be able to think in a way that does not involve traditional forms of deductive and inductive logic. We need to be able to think outside the box and come up with more creative ways of drawing conclusions. This is called lateral thinking. Lateral thinking alerts us to things we assume without realizing we have assumed them. Activity: Give a rational explanation to each of the following situations. In each case you need to question your assumptions and try and think outside the box. 1. A man walks into a bar and asks the barman for a glass of water. The barman pulls out a gun and points it at the man. The man says thank you and walks out. 2. A women is lying dead in a field. Next to her is an unopened package. There is no other creature in the field. How did she die? Comparing Deduction and Induction Deduction Induction Reasoning from general Reasoning from specific statements or premises to a observations to a general specific conclusion conclusion Conclusions are more Conclusions are less certain certain Gives us more information Give us less information about the world enabling us about the world to gain more new knowledge Uses sense perception to Uses induction to produce produce the specific the general statements observations Bibliography Theory of Knowledge Course Companion, Dombrowski, Rotenberg and Bick, OUP Theory of Knowledge for the IB Diploma, van de Lagemaat, Cambridge Theory of Knowledge, Alchin, Hodder Murray http://www.edwarddebono.com/about.htm
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