Critical Thinking: The Art of Reasoning Lecture 14: Inductive Arguments © Critical Thinking Skills BV Example Definition Types (inductive argument patterns) What goes wrong? Learn more 2 3 Generalisation 4 Inductive Arguments Definition: Inductive arguments are those involving some kind of extension, generalisation or extrapolation to new cases i.e., extrapolation from “source” cases to “target” cases Based on an assumption of similarity between source and target 5 How NOT to define “inductive argument” Inductive reasoning is often defined as reasoning which does not (like deductive argument) guarantee the contention i.e., inductive = not deductive However, this makes the concept of inductive almost useless. Great variety in non-deductive arguments 6 Three inductive argument patterns 1. (Inductive) Generalisation 2. Statistical Syllogism 3. Particular case(s) to general claim General claim to particular case Analogical argument One particular case to another 7 Inductive Generalisation Extrapolation from a “sample” (source) to a “population” (target) containing that sample 8 Statistical Syllogism Just like classic syllogism but with a “statistical” generalisation as the main premise. 9 Statistical Syllogism – General Pattern Extrapolation from a population (source) to a member of that population (target) 10 Analogical Argument Extrapolation from one particular case (source) to another (target) Based on similarities between the two cases. 11 Analogical Argument – General Pattern 12 How inductive arguments go wrong The primary way inductive arguments go wrong is failure of similarity between source and target 1. 2. 3. Inductive generalisation – sample not “representative” of population Statistical syllogism – target case atypical Analogy – the two cases not similar in relevant respects 13 To learn more… See also the lesson on Fallacies, the Reasoning for Knowledge Exercises site in Rationale and the Rationale WIKI. Probability & Statistics Scientific Method Giere, Understanding Scientific Reasoning 14
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