Question 1

Making the assumption that A is , and D is false, determine the truth value () of this compound statement: A • C

Accepted Answer

A) True 
 B)False

Question 2

Making the assumption that A is , and D is false, determine the truth value () of this compound statement: ~(A • B) ↔ (A → (C ⋁D))

Accepted Answer

A) True 
 B)False

Question 3

Symbols list
You may use the list below to copy-and-paste the symbols into your answer as needed. →;↔;•;~;⋁;\
Translate the following statement into symbols, using the schemes of abbreviation provided: Assuming
that Susie is at the horse show, Dee Dee is either at home or at work. (S: Susie is at the horse show; H:
Dee Dee is at home; W: Dee Dee is at work.)

Accepted Answer

The answer of Symbols list
You may use the list below...

Question 4

The consequent of a

Accepted Answer

A) True 
 B)False

Question 5

Symbols list
You may use the list below to copy-and-paste the symbols into your answer as needed. →;↔;•;~;⋁;\
Translate the following statement into symbols, using the schemes of abbreviation provided: Both Al and
Bob failed to come to the party. (A: Al came to the party; B: Bob came to the party.)

Accepted Answer

The answer of Symbols list
You may use the list below...

Question 6

The "⋁" sign is used to symbolize

Accepted Answer

A)  "Either . . . or . . . but not both." 
B)  "If . . . then . . ." 
C)  "Both . . . and . . ." 
D)  "Either . . . or . . . or both."

Question 7

Which of the following is not a condition for a symbolic expression to be a well-formed formula (WFF)?

Accepted Answer

A)  If p is a WFF, then so is ~(p). 
B)  If p and q are WFFs, then so is (p • q). 
C)  If p and q are WFFs, then so is (p ⋁ q). 
D)  If p and q are WFFs, then so is (p → q).

Question 8

An argument is valid when it is not possible for its conclusion to be false when all of its premises are

Accepted Answer

A) True 
 B)False

Question 9

If there is any assignment of truth values in which the premises are all , then the argument is invalid.

Accepted Answer

A) True 
 B)False

Question 10

Symbols list
You may use the list below to copy-and-paste the symbols into your answer as needed. →;↔;•;~;⋁;\
Translate the following statement into symbols, using the schemes of abbreviation provided: You can vote in the Democratic primary election only if you are a registered member of the Democratic Party. (V: You can vote in the Democratic primary election; R: You are a registered member of the Democratic Party.)

Accepted Answer

The answer of Symbols list
You may use the list below...

Question 11

An atomic statement is a statement that has no other statement as a component.

Accepted Answer

A) True 
 B)False

Question 12

Making the assumption that A is , and D is false, determine the truth value () of this compound statement: B • ~C

Accepted Answer

A) True 
 B)False

Question 13

A conjunction is .

Accepted Answer

A) True 
 B)False

Question 14

Symbols list
You may use the list below to copy-and-paste the symbols into your answer as needed. →;↔;•;~;⋁;\
Translate the following statement into symbols, using the schemes of abbreviation provided: Unless
Sharon passes her final, she will get a C in the class. (P: Sharon passes her final; C: Sharon gets a C in the class.)

Accepted Answer

The answer of Symbols list
You may use the list below...

Question 15

When two statements are logically equivalent, the columns in the truth table under their main logical operators

Accepted Answer

A)  show neither statement is contingent. 
B)  are exactly alike. 
C)  are exactly opposite. 
D)  show both statements are tautologies.

Question 16

A compound statement is a tautology if

Accepted Answer

A)  it is false regardless of the truth values assigned to the atomic sentences that compose it. 
B)  its truth value is a function of the truth values of its component atomic sentences. 
C)  it is true regardless of the truth values assigned to its component atomic sentences. 
D)  its truth value is a function of the placement of its parentheses.

Question 17

The truth table for a symbolized argument containing four statement letters will have

Accepted Answer

A)  4 rows. 
B)  8 rows. 
C)  12 rows. 
D)  16 rows.

Question 18

In A ⋁ (B • C), the main logical operator is the "⋁".

Accepted Answer

A) True 
 B)False

Question 19

A compound statement is a contradiction if

Accepted Answer

A)  it is false regardless of the truth values assigned to the atomic sentences that compose it. 
B)  its truth value is a function of the truth values of its component atomic sentences. 
C)  it is true regardless of the truth values assigned to its component atomic sentences. 
D)  its truth value is a function of the placement of its parentheses.

Question 20

Symbols list
You may use the list below to copy-and-paste the symbols into your answer as needed. →;↔;•;~;⋁;\
Translate the following statement into symbols, using the schemes of abbreviation provided: Neither Jean
nor Ron is allergic to shellfish. (J: Jean is allergic to shellfish; R: Ron is allergic to shellfish.)

Accepted Answer

The answer of Symbols list
You may use the list below...

Exam 7: Statement Logic: Truth Tables

Making the assumption that A is , and D is false, determine the truth value () of this compound statement: A • C

Making the assumption that A is , and D is false, determine the truth value () of this compound statement: ~(A • B) ↔ (A → (C ⋁D))

The consequent of a

The "⋁" sign is used to symbolize

Which of the following is not a condition for a symbolic expression to be a well-formed formula (WFF) ?

An argument is valid when it is not possible for its conclusion to be false when all of its premises are

If there is any assignment of truth values in which the premises are all , then the argument is invalid.

An atomic statement is a statement that has no other statement as a component.

Making the assumption that A is , and D is false, determine the truth value () of this compound statement: B • ~C

A conjunction is .

When two statements are logically equivalent, the columns in the truth table under their main logical operators

A compound statement is a tautology if

The truth table for a symbolized argument containing four statement letters will have

In A ⋁ (B • C), the main logical operator is the "⋁".

A compound statement is a contradiction if