1. Which of these sentences are propositions? What are the truth values of those that are propositions?...
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Question:
1. Which of these sentences are propositions? What are the truth values of those that are propositions?
a) Boston is the capital of Massachusetts.
b) Miami is the capital of Florida.
c) 2 + 3 = 5.
d) 5 + 7 = 10.
e) x + 2 = 11.
2. What is the negation of each of these propositions?
a) Linda is younger than Sanjay.
b) Mei makes more money than Isabella.
3. Let p and q be the propositions “Swimming at the New Jersey shore is allowed” and “Sharks have been spotted near the shore,” respectively. Express each of these compound propositions as an English sentence.
a) ¬q
b) p ∧ q
c) ¬p ∨ q
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