Tuesday, April 14, 2009

TFY Chapter 11 inductive reasoning summary

This chapter is about the process of inductive reasoning. The word induction comes from the Latin inducere, which means to lead in. Inductive reasoning is to reason to a conclusion about all members of a class on the basis of an examination of a few members of a class. It is going from the specific to the general. Inductive reasoning is essential in the sciences, and it is analogous to the scientific method. Inductive reasoning is a method used to discover new information or to supply missing information. Inductive reasoning is an open-ended method of learning and discovering. It is not a trial and error process or a hit or miss. It has its own rules for arriving at the most reliable answers. One must observe, gather data and information, and then come to meanings or conclusions. Some of the methods that have been used in inductive reasoning are sensory observation, enumeration, analogical reasoning, pattern recognition, and statistical reasoning. Sensory observation is observing with the use of your senses. This includes sight, taste, touch, smell and hearing. Simply observing and recording your observations can lead to correct inferences and have in the scientific world led to scientific breakthroughs. Reasoning from enumeration can just be a simple counting of parts to come to a conclusion about the whole. You use extrapolation to come to that conclusion. Extrapolation is a probability estimate or projection. Analogical reasoning is coming to conclusions based on making comparisons or analogies between two seemingly different things. Analogical reasoning is crucial in the legal system in the United States, where legal precedents can affect the decision of a case. Patterns are also important in inductive reasoning. If patterns are recognized, then this can help in drawing conclusions about the nature of them and why they might be important. Statistical reasoning is using enumeration to predict on the basis of an estimate of probabilities. This method is used when it is impossible to examine all of the available data.

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