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Which of these sentences are propositions? What are the truth values of those that are propositions?
Let p and q be the propositions “The election is decided” and “The votes have been counted” respectively. Express ~p as an English sentence. *
Express each of these statements into logical expressions using predicates, quantifiers,
and logical connectives. Let the domain consist of all people. Let S(x) be “x is in your
class,” P(x) be “x is perfect.”
(a) Nobody is perfect. (Use only the universal quantifier.)
(b) Nobody is perfect. (Use only the existential quantifier.)
(c) Nobody in your class is perfect.
(d) Not everybody is perfect.
(e) Someone in your class is perfect.
(f) Not everyone in your class is not perfect.
. If I own a dog, then I own an animal.
what is the inverse
