Logic Flashcards
Given the argument:
“If it is hot or humid, then I complain.
I am not complaining.
__________________
Therefore, it is neither hot nor humid.”
Which of the following is true?
a) The argument is invalid.
b) None of the options are correct.
c) The argument is a tautology
d) For statements
p=”it is hot”, q=”it is humid”, r=”I complain”
this argument symbolically is:
p V q -> r
~r
__________
~p V ~q
C
Given the argument:
“If I am tired, I am edgy.
If I am edgy, I am nasty.
_________________
If I am tired, I am nasty”
Which of the following is true?
a) The argument is invalid.
b) p=”I am tired”, q=”I am edgy”, r=”I am nasty”
this argument symbolically is:
p -> q
q -> r
__________
p -> r
c) p=”I am tired”, q=”I am edgy”, r=”I am nasty”
this argument symbolically is:
p ^ q
q ^ r
__________
p ^ r
d) None of the options are correct.
B
Given the argument:
“There must be a dam or there is flooding.,
This year there is flooding.
__________________
This year there is no dam.”
Which of the following is true?
a) p=”There is a dam”, q=”There is flooding”
this argument symbolically is:
p -> q
q
__________
~p
b) The argument is a tautology.
c) p=”There is a dam”, q=”There is flooding”
this argument symbolically is:
p V q
p
__________
~q
d) None of the options are correct.
D
Given the argument:
“If all people obey the law, then no jails are needed.
Some jails are needed.
__________________
Therefore, some people do not obey the law.”
Which of the following is true?
a) None of the options are correct.
b) p=”All people obey the law”, q=”Some jails are needed”
this argument symbolically is:
p -> ~q
~q
__________
p
c) The argument is invalid.
d) p=”All people obey the law”, q=”Some jails are needed”
this argument symbolically is:
p -> ~q
q
__________
~p
D
What statement is equivalent to: “It is not true that Australia and China are both island.”?
a) Australia is an island, however China is not an island.
b) Australia is not an island or China is not an island.
c) Both Australia and China are island.
d) Australia is not an island and China is not an island.
B
What is the negation of the statement: “I am not going and he is going.”?
a) I am going and he is not going.
b) I am going or he is not going.
c) None of the options are correct.
d) It is not true that we are both going.
B
What is the truth value of the following statement when p is false, q is false and r is true?
q -> (p ^ r)
a) The given statement is both true and false simultaneously.
b) False
c) It is not possible to determine the truth value of the given statement.
d) True
D
What statement is equivalent to “It is not the case that my high school encouraged creativity and diversity.”?
a) My high school encouraged creativity and it encouraged diversity.
b) My high school did not encourage creativity and it did not encourage diversity.
c) My high school did not encourage creativity or it did not encourage diversity.
d) My high school did not encourage creativity, but it encouraged diversity.
C
What statement is equivalent to the following statement?
p -> (q V ~r)
a) (~q ^ r) -> p
b) (~q V r) -> ~p
c) (~q ^ r) -> ~p
d) ~p -> (~q ^ r)
C
p and q represent the following statement:
p: 4 + 6 = 10
q: 5 × 8 = 80
What is the truth value of the statement (~p ^ ~q) ?
a) It is not possible to determine the truth value of the given statement.
b) The given statement is both true and false simultaneously.
c) True
d) False
Hint: construct the truth table and look for the conditions that match the truth values of the identified p and q statements.
D
Given the argument:
“If it is raining and snowing, then I read.
I am not reading.
__________________
Therefore, it is not raining and it is not snowing.”
Which of the following is true?
a) p=”it is raining”, q=”it is snowing”, r=”I read”
this argument symbolically is:
p ^ q -> r
~r
__________
~p ^ q
b) This argument written as a conditional statement is a tautology.
c) The argument is invalid.
d) p=”it is raining”, q=”it is snowing”, r=”I read”
this argument symbolically is:
p ^ q -> r
~r
__________
~p V ~q
C
Identify the negated symbolic statement for the following:
“I am not going and he is going.”
p ν ~q
Which of the following arguments has the fallacy of the inverse form?
a) If Eric passes GNED1101 exam, then will finish his program.
Eric finished his program. Therefore, he passed the GNED1101 exam.
b) If I have the flu, then I have a sore throat.
I do not have the flu. Therefore, I do not have a sore throat.
c) If my cat touches the feeder, then it wants to be fed.
My cat doesn’t touch the feeder. Therefore, my cat doesn’t want to be fed.
d) If I had anything more to do with the operation, I’d have to lie to the Ambassador.
I can’t lie to the Ambassador. Therefore, I can’t have anything more to do with the operation.
B
Given the argument:
“If I am tired or hungry, then I cannot concentrate.
I can concentrate.
__________________
Therefore, I am not tired and I am not hungry.”
Which of the following is true?
For statements
a) p=”I am tired.”, q=”I am hungry.”, r=”I can concentrate.”
this argument symbolically is:
p V q -> ~r
r
__________
~(p ^ ~q)
b) This argument written as a conditional statement is a tautology.
c) The argument is invalid.
d) None of the provided options are correct.
B
p and q represent the following statements:
p: 4+4 = 12
q: 3×6 = 18
Determine the truth-value for the following statement:
~ p ν q
a) It is not possible to determine the truth value of the given statement.
b) The given statement is both true and false simultaneously.
c) False
d) True
D
