9. For each of these collections of premises, what relevant conclusion or conclusions can be drawn? Explain the rules of inference used to obtain each conclusion from the premises. a) "If I take the day off, it either rains or snows." "I took Tuesday off or I took Thursday off." "It was sunny on Tuesday." "It did not snow on Thursday." b) "If I eat spicy foods, then I have strange dreams." "I have strange dreams if there is thunder while I sleep." "I did not have strange dreams." c) "I am either clever or lucky." "I am not lucky." "If I am lucky, then I will win the lottery." d) "Every computer science major has a personal com- puter." "Ralph does not have a personal computer." "Ann has a personal computer." e) "What is good for corporations is good for the United States." "What is good for the United States is good for you." "What is good for corporations is for you to buy lots of stuff." f) "All rodents gnaw their food." "Mice are rodents." "Rabbits do not gnaw their food." "Bats are not ro- dents."

9. For each of these collections of premises, what relevant conclusion or conclusions can be drawn? Explain the rules of inference used to obtain each conclusion from the premises. a) "If I take the day off, it either rains or snows." "I took Tuesday off or I took Thursday off." "It was sunny on Tuesday." "It did not snow on Thursday." b) "If I eat spicy foods, then I have strange dreams." "I have strange dreams if there is thunder while I sleep." "I did not have strange dreams." c) "I am either clever or lucky." "I am not lucky." "If I am lucky, then I will win the lottery." d) "Every computer science major has a personal com- puter." "Ralph does not have a personal computer." "Ann has a personal computer." e) "What is good for corporations is good for the United States." "What is good for the United States is good for you." "What is good for corporations is for you to buy lots of stuff." f) "All rodents gnaw their food." "Mice are rodents." "Rabbits do not gnaw their food." "Bats are not ro- dents."

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

9. For each of these collections of premises, what relevant
conclusion or conclusions can be drawn? Explain the
rules of inference used to obtain each conclusion from
the premises.
a) "If I take the day off, it either rains or snows." "I took
Tuesday off or I took Thursday off." "It was sunny on
Tuesday." "It did not snow on Thursday."
b) "If I eat spicy foods, then I have strange dreams." "I
have strange dreams if there is thunder while I sleep."
"I did not have strange dreams."
c) "I am either clever or lucky." "I am not lucky." "If I
am lucky, then I will win the lottery."
d) "Every computer science major has a personal com-
puter." "Ralph does not have a personal computer."
"Ann has a personal computer."
e) "What is good for corporations is good for the United
States." "What is good for the United States is good
for you." "What is good for corporations is for you to
buy lots of stuff."
f) "All rodents gnaw their food." "Mice are rodents."
"Rabbits do not gnaw their food." "Bats are not ro-
dents."

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