Explanation The following are the steps of a formal proof of validity for an argument, 1. Number the premises in a column. 2. Skip conclusion numbering and continue the numbering of remaining premises. 3. Apply an elementary valid argument form on the selected two premises. 4. Put this new statement in the original numbered column and write its justification to its right. The justification includes the numbers of two statements and the abbreviation of the elementary valid argument form. Given: The given arguments are, 1. ( W ∨ X ) → ( Y ∧ Z ) 2. ∼ Y ∴ ∼ W Approach: The premise 1 is, ( W ∨ X ) → ( Y ∧ Z ) Apply simplification proof of validity in premise 1. The conclusion is ( W ∨ X ) → Y which is statement 3. The premise 3 is, ( W ∨ X ) → Y And, The premise 2 is, ∼ Y Apply the Modus Tollens to premise 2 and 3. The conclusion is ∼ ( W ∨ X ) which is statement 4. The premise 4 is, ∼ ( W ∨ X ) Apply De Morgan’s proof of validity in premise 4

Bundle: Mathematics: A Practical Odyssey, 8th + WebAssign Printed Access Card for Johnson/Mowry's Mathematics: A Practical Odyssey, 8th Edition, Single-Term

8th Edition

ISBN: 9781337349611

Author: David B. Johnson, Thomas A. Mowry

Publisher: Cengage Learning

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Chapter 1.6, Problem 24E

To determine

To construct:

The formal proof of validity for the given argument.

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Chapter 1.6, Problem 23E

Chapter 1.6, Problem 25E

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To construct: The formal proof of validity for the given argument.