MAT 142 Lecture Video Series

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Valid arguments A valid argument has the following property:

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Presentation transcript:

MAT 142 Lecture Video Series

Analyzing Arguments (MAT 142)

Objectives Determine the validity of an argument using a truth table. State the conditions under which an argument is invalid

Vocabulary hypothesis conclusion valid argument

Use the given symbols to rewrite the argument in symbolic form: p: It is Tuesday. q: The tour group is in Belgium. H1. If it is Tuesday, then the tour group is in Belgium. H2. The tour group is not in Belgium. C. Therefore, it is not Tuesday.

Analyzing Arguments (MAT 142) Make a truth table to determine the validity of the argument p q H1 H2 C T F

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.

If you are not in a hurry, you eat at Lulu’s Diner 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. If you are not in a hurry, you eat at Lulu’s Diner. H2. If you are in a hurry, you do not eat good food. H3. You eat at Lulu’s. C. Therefore, you eat good food.

If you are not in a hurry, you eat at Lulu’s Diner 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. p: You are in a hurry. q: You eat at Lulu’s Diner. r: You eat good food.

H1. If you are not in a hurry, you eat at Lulu’s Diner. H2. 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. q C. 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 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 University