# Deductive vs Inductive Reasoning - Arizona State University

Deductive vs. 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 a general rule or pattern given a word and letter pairing.

Vocabulary Deductive reasoning Inductive reasoning Venn diagram Syllogism Valid/invalid argument Reasoning: the drawing of inferences or conclusions

from known or assumed facts Deductive reasoning: the application of a general statement to a specific instance Inductive reasoning: the application of specific instances to form a general conclusion

Classify the argument as deductive or inductive: 1. I ate a chili dog at Joes and got indigestion. 2. I ate a chili dog at Rubys and got indigestion. Therefore, chili dogs give me indigestion. Classify the argument as

deductive or inductive: 1. All spicy foods give me indigestion. 2. Chili dogs are spicy food. Therefore, chili dogs give me indigestion. Syllogism: an argument composed of two statements or premises followed by a conclusion

Valid: an argument if valid if the conclusion of the argument is guaranteed to follow from the premises Invalid: an argument is invalid if there is at least one instance where the conclusion does not follow from the premises

Draw a Venn diagram to determine if the argument is valid or invalid: 1. No one who can afford health insurance is unemployed. 2. All politicians can afford health insurance. Therefore, no politician is unemployed. Draw a Venn diagram to

determine if the argument is valid or invalid: 1. All homeless people are unemployed. 2. Roseanne is not a homeless person. Therefore, Roseanne is not unemployed. Draw a Venn diagram to determine if the argument is

valid or invalid: 1. All doctors are men. 2. My mother is a doctor. Therefore, my mother is a man. What is the most likely next number: 1, 2, 4, 7, ____ 4, 7, 10, 1, _____

31, 28, 31, 30, _____ What is the most likely next term: O, T, T, F, ____ T, F, S, S, _____ Determine the rule for

assigning the letter to each word: addition difference product n e t divisor

r fraction Determine the rule for assigning the letter to each word: exponen difference product quotien t t

f j p v factor

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