Select the proper symbolization of the following statement, where A is “humans l

Question

Select the proper symbolization of the following statement, where A is “humans love what they see in themselves,” B is “they can see beauty in others,” and C is “they understand love.”
  
If humans understand love then they love what they see in themselves if and only if they can see beauty in others. (Points : 1)

       (A B) C
       C & (A B)
       (A & B) C
       C (A B)
       None of these

Question 2.2. A disjunction is __________. (Points : 1)

       an “and” statement
       an “if–then” statement
       an “or” statement
       an “if and only if” statement
       None of these

Question 3.3. “All men are mortal. Socrates is a man. Therefore Socrates is mortal” is what type of argument? (Points : 1)

       Inductive
       Deductive
       Argument from definition
       Invalid

Question 4.4. Identify the form of the following argument.

If we do not pay our student loans, then our credit score will be ruined.
We will not pay our loans.                                              
Therefore, our credit score is going to be ruined. (Points : 1)

       Modus ponens
       Modus tollens
       Disjunctive syllogism
       Hypothetical syllogism
       Not a valid form

Question 5.5. A categorical syllogism is __________. (Points : 1)

       any argument with two premises
       a deductive argument with two categorical premises
       an argument with instated premises
       a categorical argument that is valid
       All of these

Question 6.6. A truth table with two variables has how many lines? (Points : 1)

       1
       2
       4
       8
       16

Question 7.7. When two statements have the same truth values in all circumstances, they are said to be __________. (Points : 1)

       logically contradictory
       logically equivalent
       logically cogent
       logically valid
       None of these

Question 8.8. Which of the following is not one of the correct descriptions of what it means for an argument to valid? (Points : 1)

       If all of the premises are true, then the conclusion cannot be false.
       The reasoning is correct and all of the premises are in fact true.
       That it is logically impossible for the premises to be true and the conclusion false.
       The truth of the premises guarantees the truth of the conclusion.

Question 9.9. Identify the form of the following argument.

If the Honda plant increases production, then we will need to hire more workers.
If we need to hire more workers, then we need to revise the budget.                    
Therefore, if the Honda plant increases production, then we need to revise the budget. (Points : 1)

       Modus ponens
       Modus tollens
       Disjunctive syllogism
       Hypothetical syllogism
       Not a valid form

Question 10.10. “A mammals is any creatures that breathe air, have hair, and breast-feed its young. Dolphins breathe air, have hair, and breast-feed their young. Therefore, dolphins are mammals.” This argument is __________. (Points : 1)

       a mathematical argument
       an inductive argument
       an explanation
       an argument from definition

Question 11.11. How many circles must one draw to do the Venn diagram test of a syllogism? (Points : 1)

       1
       2
       3
       4

Question 12.12. What is the contrapositive of the statement “No bridges are buildings”? (Points : 1)

       No non-bridges are non-buildings.
       No bridges are non-buildings.
       All brides are not buildings.
       No non-buildings are non-bridges.
       None of these

Question 13.13. In a truth table, if P is false and Q is true then what is the truth value of “P Ú Q”? (Points : 1)

       True
       False
       Neither true nor false
       Indeterminate

Question 14.14. What is the converse of the statement “No pilots are mechanics”? (Points : 1)

       No mechanics are pilots.
       No mechanics are not pilots.
       Some mechanics are pilots.
       All pilots are mechanics.
       None of these

Question 15.15. What is the contrapositive of the statement “All sunsets are beautiful things”? (Points : 1)

       All non-beautiful things are non-sunsets.
       All non-sunsets are not non-beautiful
       All beautiful things are non-sunsets.
       No beautiful things are sunsets.
       None of these

Question 16.16. How should one create a Venn diagram of the statement “No As are Bs”? (Points : 1)

       Shade the area inside the B circle but outside the A circle.
       Shade the area in the overlap of the A and B circles.
       Shade the area inside of the A circle but outside of the B circle.
       Put an “x” in the overlap between the A and B circles.

Question 17.17. Select the proper symbolization of the following statement, where B is “I will buy a new computer” and C is “my computer crashes.”

I will buy a new computer only if my current computer crashes. (Points : 1)

       B & C
       B Ú C
       B ® C
       C ® B
       None of these

Question 18.18. “Some computers are Macs” is which type of statement? (Points : 1)

       Universal affirmative
       Universal negative
       Particular affirmative
       Particular negative
       None of these

Question 19.19. Select the proper symbolization of the following statement, where A is “humans are primates,”
B is “bonobos are primates,” and C is “they are related.”

If humans are primates, and bonobos are as well, then they are related in some way. (Points : 1)

       (A & B) C
       (A B) C
       A & B C
       ABC
       None of these

Question 20.20. Negation is __________. (Points : 1)

       an “and” statement
       an “if–then” statement
       an “or” statement
       an “if and only if” statement
       None of these

Select the proper symbolization of the following statement, where A is “humans love what they see in themselves,” B is “they can see beauty in others,” and C is “they understand love.”
  
If humans understand love then they love what they see in themselves if and only if they can see beauty in others. (Points : 1)

       (A B) C
       C & (A B)
       (A & B) C
       C (A B)
       None of these

Explanation / Answer

If humans understand love then they love what they see in themselves if and only if they can see beauty in others. C (A B)

2.2 A disjunction is a "or" statement

3.3. “All men are mortal. Socrates is a man. Therefore Socrates is mortal” is what type of argument? Deductive

4.4. Identify the form of the following argument: If we do not pay our student loans, then our credit score will be ruined. We will not pay our loans. Therefore, our credit score is going to be ruined. Modus ponens

5.5A categorical syllogism is a deductive argument with two categorical premises.

6.6 A truth table with two variables has how many lines? 4

7.7 When two statements have the same truth values in all circumstances, they are said to be  logically equivalent

8.8 Which of the following is not one of the correct descriptions of what it means for an argument to valid?  The reasoning is correct and all of the premises are in fact true.

9.9 If the Honda plant increases production, then we will need to hire more workers.
If we need to hire more workers, then we need to revise the budget.                    
Therefore, if the Honda plant increases production, then we need to revise the budget.  Hypothetical syllogism

10   an argument from definition

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