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ASU MAT 142 - Deductive vs. Inductive Reasoning

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Deductive vs. Inductive ReasoningObjectivesVocabularySlide 4Classify the argument as deductive or inductive:Slide 6Slide 7Draw a Venn diagram to determine if the argument is valid or invalid:Slide 9Slide 10What is the most likely next number:What is the most likely next term:Determine the rule for assigning the letter to each word:Slide 14Deductive vs. Inductive ReasoningObjectives•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:•Deductive reasoning:•Inductive reasoning:the drawing of inferences or conclusions from known or assumed factsthe application of a general statement to a specific instancethe application of specific instances to form a general conclusionClassify the 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.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:•Valid:•Invalid:an argument composed of two statements or premises followed by a conclusionan argument if valid if the conclusion of the argument is guaranteed to follow from the premisesan argument is invalid if there is at least one instance where the conclusion does not follow from the premisesDraw 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 divisor fractionn e t rDetermine the rule for assigning the letter to each word:exponentdifference product quotientfactorf j p


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ASU MAT 142 - Deductive vs. Inductive Reasoning

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