Q2 For each of these arguments, explain which rules of inference are used for each step. a) "Linda, a student in this class, owns a red convertible. Everyone who owns a red convertible has gotten at least one speeding ticket. Therefore, someone in this class has gotten a speeding ticket." b) "Each of five roommates, Melissa, Aaron, Ralph,Veneesha, and Keeshawn, has taken a course in discrete mathematics. Every student who has taken a course in discrete

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Q1 Show that the argument form with
premises (p A t) →(r V s), q → (u ^ t), u
→p, and ¬s and conclusion q→r is
valid by using rules of inference from
Table 1.
Q2 For each of these arguments, explain
which rules of inference are used for
each step.
a) "Linda, a student in this class, owns a
red convertible. Everyone who owns a
red convertible has gotten at least one
speeding ticket. Therefore, someone in
this class has gotten a speeding ticket."
b) "Each of five roommates, Melissa,
Aaron, Ralph,Veneesha, and Keeshawn,
has taken a course in
discrete mathematics. Every student
who has taken a course in discrete
mathematics can take a course in
algorithms. Therefore, all five
roommates can take a course in
algorithms next year."
c) "All movies produced by John Sayles
are wonderful. John Sayles produced a
movie about coal miners. Therefore,
there is a wonderful movie about coal
miners."
d) "There is someone in this class who
has been to France. Everyone who goes
to France visits the Louvre. Therefore,
someone in this class has visited the
Louvre."
Transcribed Image Text:Q1 Show that the argument form with premises (p A t) →(r V s), q → (u ^ t), u →p, and ¬s and conclusion q→r is valid by using rules of inference from Table 1. Q2 For each of these arguments, explain which rules of inference are used for each step. a) "Linda, a student in this class, owns a red convertible. Everyone who owns a red convertible has gotten at least one speeding ticket. Therefore, someone in this class has gotten a speeding ticket." b) "Each of five roommates, Melissa, Aaron, Ralph,Veneesha, and Keeshawn, has taken a course in discrete mathematics. Every student who has taken a course in discrete mathematics can take a course in algorithms. Therefore, all five roommates can take a course in algorithms next year." c) "All movies produced by John Sayles are wonderful. John Sayles produced a movie about coal miners. Therefore, there is a wonderful movie about coal miners." d) "There is someone in this class who has been to France. Everyone who goes to France visits the Louvre. Therefore, someone in this class has visited the Louvre."
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