Concept explainers
In exercises 28-32, reorder the premises in each of the arguments to show that the conclusion follows as a valid consequence from the premises. It may be helpful to rewrite the statements in if—then form and replace some of them by their centrapositives. Exercises 28-30 refer to the kinds of Tarski worlds discussed in Examples 3.1.13 and 3.3.1. Exercises 31 and 32 are adapted from Symbolic Logic by Lewis Carroll.*
32. 1. When I work a logic example without grumbling, you may be sure it is one I understand.
2. The arguments in these examples are not arranged in regular order like the ones I am used to.
3. No easy examples make my head ache.
4. I can’t understand examples if the arguments are not arranged in regular order like the ones I am used to.
5. I never grumble at an example unless it gives
me a headache.
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Chapter 3 Solutions
Discrete Mathematics With Applications
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