HW 5_
docx
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School
Brooklyn College, CUNY *
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Course
CC2.1
Subject
Philosophy
Date
Apr 3, 2024
Type
docx
Pages
5
Uploaded by DukeWrenMaster894
(1)
Complete the truth table for the following proposition:
(p -> ((~q) -> ((~q) & p)))
p
q
~q
(~q) & p
(~q) -> ((~q) & p)
p -> ((~q) -> ((~q) & p))
T
T
T
F
F
T
F
F
(2)
Which of these describes the previous formula?
Tautology
Contradiction
Contingent
(3)
Complete the truth table for the following proposition:
(p -> (~q)) -> (q -> p)
p
q
~q
q -> p
p -> (~q)
(p -> (~q)) -> (q -> p)
T
T
T
F
F
T
F
F
(4)
Which of these describes the previous formula?
Tautology
Contradiction
Contingent
(5)
Complete the truth table for the following proposition:
(p -> (~p)) & (p & (q V p))
p
q
~p
q V p
p -> (~p)
p & (q V p)
(p -> (~p)) & (p & (q V p))
T
T
T
F
F
T
F
F
(6)
Which of these describes the previous formula?
Tautology
Contradiction
Contingent
(7)
Complete the truth table for the following proposition:
((p -> q) & (q -> p)) <-> (q <-> p)
p
q
p -> q
q -> p
q <-> p
(p -> q) & (q -
> p)
((p -> q) & (q -> p)) <-> (q <-> p)
T
T
T
F
F
T
F
F
(8)
Which of these describes the previous formula?
Tautology
Contradiction
Contingent
(9)
Complete the truth table for the following proposition:
((~q) -> (p <-> q)) -> p
p
q
~q
p <-> q
(~q) -> (p <-> q)
((~q) -> (p <-> q)) -> p
T
T
T
F
F
T
F
F
(10)
Which of these describes the previous formula?
Tautology
Contradiction
Contingent
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———————————————————————————————-
Construct a truth table for the following arguments, then use the tables to deter-
mine validity.
(11)
(P—>Q)—>P
Qv~P
~Q
——
P
(12)
g -> (~o -> (g -> d))
o V g
~o
——————
~
d
(13)
(i -> e) -> c
c -> ~c
—————
i
v (i v e)