Question 1

If both disjuncts of a disjunction are contingencies, then the disjunction itself is a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 2

In the statement form p $\equiv$  q, the component statement variables p and q are called:

Accepted Answer

A) conjuncts 
B) disjuncts 
C) antecedents 
D) consequents 
E) There is no special name for the component statements.

Question 3

Below is an incomplete truth table for the statement form [( p $\supset$ q) • p] $\supset$ q. $$\begin{array} { c | c | c | c | c | c | c } 
{ [ ( p } & \supset & q ) & \bullet & p ] & \supset & q \
\hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { T } & & \mathrm { T } \
\mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T } & & \mathrm { F } \
\mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { F } & \mathrm { F } & & \mathrm { T } \
\mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { F } & & \mathrm { F }
\end{array}$$ The truth-value assignment underneath the main connective should be TTTT.Therefore, the statement form [( p $\supset$ q) • p] $\supset$q is a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) equivalency 
E) contradiction

Question 4

In the truth table for the statement form ~p, the column of truth values underneath the main connective should be:

Accepted Answer

A) TF 
B) FT 
C) TFTF 
D) TTFF 
E) FFTT

Question 5

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
If I go home for dinner, I'll miss the game.

Accepted Answer

The answer of Put the following statement into symbolic notation,...

Question 6

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective.
(L • L) $\bigvee$ (G $\equiv$ R)

Accepted Answer

The answer of For the following statement, identify (a) the...

Question 7

In the statement form p • q, the component statement variables p and q are called:

Accepted Answer

A) conjuncts 
B) disjuncts 
C) antecedents 
D) consequents 
E) There is no special name for the component statements.

Question 8

The statement form p $\supset$ q is:

Accepted Answer

A) a conjunction 
B) a negation 
C) a disjunction 
D) a conditional 
E) not actually a statement form

Question 9

If at least one main component of a biconditional is a contingency, then the biconditional itself is a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 10

If at least one conjunct of a conjunction is a contingency, then the conjunction itself is a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 11

Identify the main connective in the following statement. [(F $\equiv$ L) $\equiv$ (L $\supset$ I)] • (S $\bigvee$T)

Accepted Answer

A) • 
B) $\bigvee$ 
C) $\supset$ 
D) $\equiv$ 
E) ~

Question 12

The connective "$\equiv$" is called:

Accepted Answer

A) "dot" 
B) "tilde" 
C) "wedge" 
D) "horseshoe" 
E) "triple bar"

Question 13

Identify the components and the connective in the following statement.Then put the statement into symbolic form, using appropriate letters to stand for the components.
Though Mary enjoyed the party, she got sick soon afterward.

Accepted Answer

The answer of Identify the components and the connective in...

Question 14

The statement form p $\bigwedge$q is:

Accepted Answer

A) a conjunction 
B) a disjunction 
C) a conditional 
D) a biconditional 
E) not actually a statement form

Question 15

For the statement below, classify the statement by identifying the main connective and construct a truth table.
(X $\supset$Y) $\equiv$ (~X $\bigvee$ Y)

Accepted Answer

The answer of For the statement below, classify the statement...

Question 16

If at least one main component of a biconditional is a self-contradiction, then the biconditional itself is a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 17

Identify the main connective in the following statement. (D • N) $\bigvee$G

Accepted Answer

A) • 
B) $\bigvee$ 
C) $\supset$ 
D) $\equiv$ 
E) ~

Question 18

Put the following statement in symbolic form using the letters indicated in parentheses:
If you don't believe in a God who created and designed the universe, you must believe that everything that happens and ever has happened is one vast accident.
(B, H, E)

Accepted Answer

The answer of Put the following statement in symbolic form...

Question 19

If at least one disjunct of a disjunction is a self-contradiction, then the disjunction itself is a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 20

A conditional statement where both the antecedent and consequent are contradictory statements is itself a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Exam 9: Propositional Logic-Propositions

If both disjuncts of a disjunction are contingencies, then the disjunction itself is a:

In the statement form p $\equiv$ q, the component statement variables p and q are called:

In the truth table for the statement form ~p, the column of truth values underneath the main connective should be:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. If I go home for dinner, I'll miss the game.

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. (L • L) $\bigvee$ (G $\equiv$ R)

In the statement form p • q, the component statement variables p and q are called:

The statement form p $\supset$ q is:

If at least one main component of a biconditional is a contingency, then the biconditional itself is a:

If at least one conjunct of a conjunction is a contingency, then the conjunction itself is a:

Identify the main connective in the following statement. [(F $\equiv$ L) $\equiv$ (L $\supset$ I) ] • (S $\bigvee$ T)

The connective " $\equiv$ " is called:

Identify the components and the connective in the following statement.Then put the statement into symbolic form, using appropriate letters to stand for the components. Though Mary enjoyed the party, she got sick soon afterward.

The statement form p $\bigwedge$ q is:

For the statement below, classify the statement by identifying the main connective and construct a truth table. (X $\supset$ Y) $\equiv$ (~X $\bigvee$ Y)

If at least one main component of a biconditional is a self-contradiction, then the biconditional itself is a:

Identify the main connective in the following statement. (D • N) $\bigvee$ G

Put the following statement in symbolic form using the letters indicated in parentheses: If you don't believe in a God who created and designed the universe, you must believe that everything that happens and ever has happened is one vast accident. (B, H, E)

If at least one disjunct of a disjunction is a self-contradiction, then the disjunction itself is a:

A conditional statement where both the antecedent and consequent are contradictory statements is itself a:

Exam 9: Propositional Logic-Propositions

If both disjuncts of a disjunction are contingencies, then the disjunction itself is a:

In the statement form p ≡\equiv≡ q, the component statement variables p and q are called:

In the truth table for the statement form ~p, the column of truth values underneath the main connective should be:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. If I go home for dinner, I'll miss the game.

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. (L • L) ⋁\bigvee⋁ (G ≡\equiv≡ R)

In the statement form p • q, the component statement variables p and q are called:

The statement form p ⊃\supset⊃ q is:

If at least one main component of a biconditional is a contingency, then the biconditional itself is a:

If at least one conjunct of a conjunction is a contingency, then the conjunction itself is a:

Identify the main connective in the following statement. [(F ≡\equiv≡ L) ≡\equiv≡ (L ⊃\supset⊃ I) ] • (S ⋁\bigvee⋁ T)

The connective " ≡\equiv≡ " is called:

Identify the components and the connective in the following statement.Then put the statement into symbolic form, using appropriate letters to stand for the components. Though Mary enjoyed the party, she got sick soon afterward.

The statement form p ⋀\bigwedge⋀ q is:

For the statement below, classify the statement by identifying the main connective and construct a truth table. (X ⊃\supset⊃ Y) ≡\equiv≡ (~X ⋁\bigvee⋁ Y)

If at least one main component of a biconditional is a self-contradiction, then the biconditional itself is a:

Identify the main connective in the following statement. (D • N) ⋁\bigvee⋁ G

Put the following statement in symbolic form using the letters indicated in parentheses: If you don't believe in a God who created and designed the universe, you must believe that everything that happens and ever has happened is one vast accident. (B, H, E)

If at least one disjunct of a disjunction is a self-contradiction, then the disjunction itself is a:

A conditional statement where both the antecedent and consequent are contradictory statements is itself a:

In the statement form p $\equiv$ q, the component statement variables p and q are called:

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. (L • L) $\bigvee$ (G $\equiv$ R)

The statement form p $\supset$ q is:

Identify the main connective in the following statement. [(F $\equiv$ L) $\equiv$ (L $\supset$ I) ] • (S $\bigvee$ T)

The connective " $\equiv$ " is called:

The statement form p $\bigwedge$ q is:

For the statement below, classify the statement by identifying the main connective and construct a truth table. (X $\supset$ Y) $\equiv$ (~X $\bigvee$ Y)

Identify the main connective in the following statement. (D • N) $\bigvee$ G