Question 1

Decide whether the statement makes sense. Explain your reasoning.
-The propositions "I am hungry" and "I am not hungry" are both true, since sometimes I am
hungry and sometimes I am not hungry.

Accepted Answer

The answer of Decide whether the statement makes sense. Explain...

Question 2

The argument given or described involves some kind of fallacy. Identify the fallacy.
-After getting new dishes, I started to sneeze. I must be allergic to the new dishes.

Accepted Answer

A) Circular reasoning 
B) Personal attack (ad hominem) 
C) Hasty generalization 
D) False cause

Question 3

Decide whether the statement makes sense. Explain your reasoning.
-I know more of the names of the common fallacies in arguments than my father, so I can
recognize fallacies better than he can.

Accepted Answer

The answer of Decide whether the statement makes sense. Explain...

Question 4

Evaluate the validity of the chain of conditionals.
-Premise: If you loved me, then you would buy me a new car. Premise: If you wanted me to be happy, then you would buy me a new car.
Conclusion: If you loved me, then you would want me to be happy.

Accepted Answer

A) Invalid 
B) Valid

Question 5

State whether or is being used in the exclusive or inclusive sense in the given statement.
-Shaun will win the race if he eats carbohydrates beforehand or if he has slept well.

Accepted Answer

A) Inclusive 
B) Exclusive

Question 6

A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate sets,and draw a Venn diagram for the proposition. Label all regions of the diagram clearly.
-Beggars can't be choosers.

Accepted Answer

The answer of A categorical proposition is given. If it...

Question 7

Solve the problem.
-The following Venn diagram describes the cars on a used car lot. Use it to determine how many cars on the lot are not red.

Accepted Answer

A) 38 
B) 55 
C) 58 
D) 35

Question 8

Evaluate the validity of the chain of conditionals.
-Premise: If I take a shower, I use soap. Premise: If I use soap, my skin becomes dry.
Conclusion: If I take a shower, my skin becomes dry.

Accepted Answer

A) Valid 
B) Invalid

Question 9

Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or notthe argument is valid.
-Affirming the hypothesis

Accepted Answer

The answer of Create a simple three-line argument for the...

Question 10

Solve the problem.
-The following Venn diagram describes the types of cookies in a bakery. Use it to determine how many cookies have neither chocolate chips nor walnuts.

Accepted Answer

A) 17 
B) 7 
C) 10 
D) 3

Question 11

Determine whether the statement is a proposition.
-Mary has a cat.

Accepted Answer

A) Not a proposition 
B) Proposition

Question 12

Determine whether the statement is true or false.
-If horses have six legs, then Benjamin Franklin was the first president of the United States.

Accepted Answer

A) True 
 B)False

Question 13

Use braces to write the members of the set, or state that the set has no members.
-The whole numbers greater than 5 and less than 9

Accepted Answer

A) {6, 7, 8, 9} 
B) {5, 6, 7, 8} 
C) {6, 7, 8} 
D) {5, 6, 7, 8, 9}

Question 14

The statement connects two individual propositions with the word and. State whether the entire statement is true or false,and explain why.
-The sun is bigger than the moon and the sun rotates around the earth.

Accepted Answer

A) True 
 B)False

Question 15

Make a truth table for the given statement. The letters p, q, r, s represent propositions.
-p or q

Accepted Answer

A)  
$\begin{array}{l|l|l}
\mathrm{p} & \mathrm{q} & \mathrm{p} \text { or } \mathrm{q} \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
B) 
$\begin{array}{l|l|l}
\mathrm{p} & \mathrm{q} & \mathrm{p} \text { or q } \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
C) 
$\begin{array}{l|l|l}
\mathrm{p} & \mathrm{q} & \mathrm{p} \text { or } \mathrm{q} \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
D) 
$\begin{array}{l|l|l}
\mathrm{p} & \mathrm{q} & \mathrm{p} \text { or q } \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$

Question 16

A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate sets,and draw a Venn diagram for the proposition. Label all regions of the diagram clearly.
-Movies are entertaining.

Accepted Answer

The answer of A categorical proposition is given. If it...

Question 17

Write the converse, inverse, or contrapositive off the proposition, as indicated.
-If the sun shines, they will bask. (inverse)

Accepted Answer

A) If the sun does not shine, then they will not bask. 
B) If they do not bask, then the sun shines. 
C) If they do not bask, then the sun does not shine. 
D) If they bask, then the sun shines.

Question 18

Describe how the sentence is ambiguous.
-Two stores with more than 1000 pieces of merchandise will have grand openings at the
mall this weekend.

Accepted Answer

The answer of Describe how the sentence is ambiguous.
-Two stores...

Question 19

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number.
-$- 2 \pi$

Accepted Answer

A) Integers 
B) Real numbers 
C) Whole numbers 
D) Rational numbers

Question 20

Provide an appropriate response.
-The members of a union are on strike. They are satisfied with their hourly wage rate and
benefits, but they want their overtime wage rate to be increased by 15% in their next
contract. The head of management makes the following statement to the head of the union:
"If you end the strike today and sign the contract, we will meet your demand and increase
the overtime wage rate by 15%." Should the union head accept the offer? Explain.

Accepted Answer

The answer of Provide an appropriate response.
-The members of a...

Exam 1: Thinking Critically

Decide whether the statement makes sense. Explain your reasoning. -The propositions "I am hungry" and "I am not hungry" are both true, since sometimes I am hungry and sometimes I am not hungry.

The argument given or described involves some kind of fallacy. Identify the fallacy. -After getting new dishes, I started to sneeze. I must be allergic to the new dishes.

Decide whether the statement makes sense. Explain your reasoning. -I know more of the names of the common fallacies in arguments than my father, so I can recognize fallacies better than he can.

Evaluate the validity of the chain of conditionals. -Premise: If you loved me, then you would buy me a new car. Premise: If you wanted me to be happy, then you would buy me a new car. Conclusion: If you loved me, then you would want me to be happy.

State whether or is being used in the exclusive or inclusive sense in the given statement. -Shaun will win the race if he eats carbohydrates beforehand or if he has slept well.

A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate sets,and draw a Venn diagram for the proposition. Label all regions of the diagram clearly. -Beggars can't be choosers.

Solve the problem. -The following Venn diagram describes the cars on a used car lot. Use it to determine how many cars on the lot are not red.

Evaluate the validity of the chain of conditionals. -Premise: If I take a shower, I use soap. Premise: If I use soap, my skin becomes dry. Conclusion: If I take a shower, my skin becomes dry.

Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or notthe argument is valid. -Affirming the hypothesis

Solve the problem. -The following Venn diagram describes the types of cookies in a bakery. Use it to determine how many cookies have neither chocolate chips nor walnuts.

Determine whether the statement is a proposition. -Mary has a cat.

Determine whether the statement is true or false. -If horses have six legs, then Benjamin Franklin was the first president of the United States.

Use braces to write the members of the set, or state that the set has no members. -The whole numbers greater than 5 and less than 9

The statement connects two individual propositions with the word and. State whether the entire statement is true or false,and explain why. -The sun is bigger than the moon and the sun rotates around the earth.

Make a truth table for the given statement. The letters p, q, r, s represent propositions. -p or q

A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate sets,and draw a Venn diagram for the proposition. Label all regions of the diagram clearly. -Movies are entertaining.

Write the converse, inverse, or contrapositive off the proposition, as indicated. -If the sun shines, they will bask. (inverse)

Describe how the sentence is ambiguous. -Two stores with more than 1000 pieces of merchandise will have grand openings at the mall this weekend.

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number. - $- 2 \pi$