2.1.14 Suppose that the following statements are true: Every Pig likes mud. • If a creature cannot fly then it is not an astronaut. • A creature is an astronaut if it likes mud. Is it true that 'Pigs can fly'? Explain your answer. (Hint: try rewriting each of the statements in the form 'x is/likes x is/likes

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 25E: 25. Prove that if and are integers and, then either or. (Hint: If, then either or, and similarly...
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2.1.14

2.1.14 Suppose that the following statements are true:
Every Pig likes mud.
• If a creature cannot fly then it is not an astronaut.
• A creature is an astronaut if it likes mud.
Is it true that 'Pigs can fly'? Explain your answer.
(Hint: try rewriting each of the statements in the form 'x is/likes
x is/likes
Transcribed Image Text:2.1.14 Suppose that the following statements are true: Every Pig likes mud. • If a creature cannot fly then it is not an astronaut. • A creature is an astronaut if it likes mud. Is it true that 'Pigs can fly'? Explain your answer. (Hint: try rewriting each of the statements in the form 'x is/likes x is/likes
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