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Sec 1.1
2a. “Do not pass go.” Is a proposition
2f. “2
n
100” not a proposition unless you give n a context.
≥
6
p: “The Election is decided.”
Q: “The votes have been counted.”
c. ¬p ^ q
The election isn’t decided, and the votes have been counted.
f. ¬p
¬q
→
If the election isn’t decided then the votes have not been counted.
8
p: You have the flu.
q: You miss the final examination.
r: You pass the course.
b. ¬q
r
↔
You don’t miss the final examination if and only if you pass the course.
e. (p
¬r)
v (q
¬ r)
→
→
If you have the flu then you fail the course, or if you miss the final examination then
you fail the course.
10.
p: You get an A on the final exam.
q: You do every exercise in this book.
r: You get an A in this class
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View Full Documentb. p ^ q ^ r
f. r ↔(q v p)
16.
b. Exclusive “or” because the meal only allows you to have either a soup or a salad
but not both.
c. Inclusive “or” because you can have both items and still get into the country.
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 Spring '08
 McCann

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