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Problem 1 . Which of the following sentences are statements? a . The moon is made of green cheese. b . He is certainly a
Problem Which of the following sentences are statements?
a The moon is made of green cheese.
b He is certainly a tall man.
c Two is a prime number.
d The game will be over by :
e Next year, interest rates will rise.
f Next year, interest rates will fall.
h
Problem Write the negation of each statement.
a The processor is fast but the printer is slow.
b The processor is fast or else the printer is slow.
c If the processor is fast, then the printer is slow.
d Either the processor is fast and the printer is slow, or else the file is damaged.
e If the file is not damaged and the processor is fast, then the printer is slow.
f The printer is slow only if the file is damaged.
Problem Let and and be the following statements:
A The villain is French.
B The hero is American.
C The heroine is British.
D The movie is good.
Translate the following compound statements into symbolic notation.
a The hero is American and the movie is good.
b Although the villain is French, the movie is good.
c If the movie is good, then either the hero is American or the heroine is British.
d The hero is not American, but the villain is French.
e A British heroine is a necessary condition for the movie to be good.
Problem Construct truth tables for the following wffs Note any tautologies or contradictions.
a
b
c
Problem Prove the following tautologies by starting with the left side and finding a series of equivalent wffs that will convert the left side into the right side.
a
b
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