Deductive versus Inductive Reasoning Page 1 of 2 Deductive versus Inductive Reasoning Objectives: - Use a Venn diagram to determine the validity of an argument. - Complete a pattern with the most likely possible next item. - Explain and general rule or pattern given a word and letter pairing. Suggested Problems: page 9: problems 3, 5, 9, 10, 11, 13, 17, 21, 25, 27, 29, 30, 31, 33, 35, 39, 41, 42, 44 Vocabulary: - deductive reasoning - syllogism - inductive reasoning - Venn diagram - valid/invalid argument Possible Classroom Examples: Draw a Venn diagram to represent each syllogism. 1. No one who can afford health insurance is unemployed. 2. All politicians can afford health insurance. Therefore, no politician is unemployed. 1. All homeless people are unemployed. 2. Roseanne is not a homeless person. Therefore, Roseanne is not unemployed. Draw a Venn diagram to determine the validity of the argument. 1. All doctors are men. 2. My mother is a doctor. Therefore, my mother is a man.Deductive versus Inductive Reasoning Page 2 of 2 Classify each argument as deductive or inductive. 1. I ate a chili dog at Joe’s and got indigestion. 2. I ate a chili dog at Ruby’s and got indigestion. Therefore, chili dogs give me indigestion. 1. All spicy foods give me indigestion. 2. Chili dogs are spicy food. Therefore, chili dogs give me indigestion. What is the most likely next number or letter. - 1, 2, 4, 7, ___ - 4, 7, 10, 4, ___ - 31, 28, 31, 30, ___ - O, T, T, F, ___ - T, F, S, S, ___ Determine the rule for assigning the letter to each word. addition difference product divisor fraction n e t r exponent difference product quotient factor f j p