MAT 142 Lecture Video SeriesAnalyzing ArgumentsObjectivesVocabularyUse the given symbols to rewrite the argument in symbolic form:Slide 6Define the necessary symbols, rewrite the argument in symbolic form, and use a truth table to determine whether the argument is valid.Slide 8Slide 9Slide 10If the argument is invalid, interpret the specific circumstances that cause the argument to be invalid.Creator and Producer Elizabeth Jones for The School of Mathematical and Statistical Sciences at Arizona State University Videographer Mike Jones ©2009 Elizabeth Jones and School of Mathematical and Statistical Sciences at Arizona State UniversityMAT 142Lecture Video SeriesAnalyzing ArgumentsObjectives•Determine the validity of an argument using a truth table.•State the conditions under which an argument is invalidVocabulary•hypothesis •conclusion •valid argumentUse the given symbols to rewrite the argument in symbolic form:H1. If it is Tuesday, then the tour group is in Belgium.H2. The tour group is not in Belgium.p:q:It is Tuesday.The tour group is in Belgium.C. Therefore, it is not Tuesday.Make a truth table to determine the validity of the argument p qH1 H2 CT TTFFTFF CHH 21 21 HH Define the necessary symbols, rewrite the argument in symbolic form, and use a truth table to determine whether the argument is valid.If you are not in a hurry, you eat at Lulu’s Diner. If you are in a hurry, you do not eat good food. You eat at Lulu’s. Therefore, you eat good food.H1.H2.If you are not in a hurry, you eat at Lulu’s Diner.If you are in a hurry, you do not eat good food.H3.You eat at Lulu’s.If you are not in a hurry, you eat at Lulu’s Diner. If you are in a hurry, you do not eat good food. You eat at Lulu’s. Therefore, you eat good food.C. Therefore, you eat good food.p:q:You are in a hurry.You eat at Lulu’s Diner.r:You eat good food.If you are not in a hurry, you eat at Lulu’s Diner. If you are in a hurry, you do not eat good food. You eat at Lulu’s. Therefore, you eat good food.H1.H2.If you are not in a hurry, you eat at Lulu’s Diner.If you are in a hurry, you do not eat good food.H3.You eat at Lulu’s.C. Therefore, you eat good food.H1.H2.H3.qp ~rp ~qC. Therefore, r.If the argument is invalid, interpret the specific circumstances that cause the argument to be invalid.If you are not in a hurry, you eat at Lulu’s Diner. If you are in a hurry, you do not eat good food. You eat at Lulu’s. Therefore, you eat good food.Creator and ProducerElizabeth Jones forThe School of Mathematical and Statistical SciencesatArizona State University VideographerMike Jones©2009 Elizabeth Jones and School of Mathematical and Statistical Sciences at Arizona State
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