Question 1

If the antecedent of a conditional is a tautology, then the conditional itself is a:

Accepted Answer

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

Question 2

If the consequent of a conditional is a contingency, then the conditional itself is a:

Accepted Answer

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

Question 3

For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it.
Lisa listened to the news, and she isn't happy.(L, H)

Accepted Answer

The main connective is "and," an express

Question 4

Put the following statement in symbolic form using the letters indicated in parentheses:
Only if one believes in God can one solve the mystery of why anything exists at all.(B, S)

Accepted Answer

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

Question 5

In the truth table for the statement form ( p • q) $\supset$ p, the column of truth values underneath the main connective should be TTTT.Therefore, this statement form is a:

Accepted Answer

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

Question 6

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
The argument is sound if and only if the premises are true and the argument is valid.

Accepted Answer

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

Question 7

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective.
{[~A $\bigvee$ (B • ~C)] • [D$\equiv$ (A $\supset$ B)]}

Accepted Answer

(a) Atomic statements: A, B, C

Question 8

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

Question 9

Put the following statement in symbolic form using the letters indicated in parentheses:
If a combustible material is heated to its kindling point in the presence of oxygen, then burning will occur.(H, B)

Accepted Answer

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

Question 10

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

Accepted Answer

(a) Atomic statement

Question 11

Two statements have no row of their truth tables on which they are both true.Therefore, the statements are:

Accepted Answer

A) equivalent 
B) contradictory 
C) consistent 
D) inconsistent 
E) unable to determine from the information given 
A) equivalent 
B) contradictory 
C) consistent 
D) inconsistent 
E) unable to determine from the information given

Question 12

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective.
~A • (B $\bigvee$ C)

Accepted Answer

(a) Atomic statements: A, B, C

Question 13

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
If we put a man on the moon but cannot cure the common cold, then if we put a man on Venus, we will not be able to cure acne.

Accepted Answer

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

Question 14

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
I'll call the police or go out looking if she isn't home soon.

Accepted Answer

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

Question 15

Identify which of the following is a correct symbolization of the following statement. If you argue with a fool, people might not know who is the fool.

Accepted Answer

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

Question 16

Symbolize "both not p and not q."

Accepted Answer

A) ~p • ~q 
B) ~p • q 
C) ~( p • q) 
D) ( p v q) • ~( p • q) 
E) ( p v q) • (~p   q) 
A) ~p • ~q 
B) ~p • q 
C) ~( p • q) 
D) ( p v q) • ~( p • q) 
E) ( p v q) • (~p   q)

Question 17

Choose which symbol to use for "but," "however," "nevertheless," and "although."

Accepted Answer

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

Question 18

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
You can rent the movie or read the book.

Accepted Answer

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

Question 19

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.
I will drive her to her house or she will take a taxi.

Accepted Answer

Components: I will d

Question 20

Identify the main connective in the following statement. {[(F $\bigvee$ R) $\equiv$ ~(W • T)] • (N • P)} $\bigvee$ (L $\supset$ ~M)

Accepted Answer

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

If the antecedent of a conditional is a tautology, then the conditional itself is a:

If the consequent of a conditional is a contingency, then the conditional itself is a:

For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it. Lisa listened to the news, and she isn't happy.(L, H)

Put the following statement in symbolic form using the letters indicated in parentheses: Only if one believes in God can one solve the mystery of why anything exists at all.(B, S)

In the truth table for the statement form ( p • q) $\supset$ p, the column of truth values underneath the main connective should be TTTT.Therefore, this statement form is a:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. The argument is sound if and only if the premises are true and the argument is valid.

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. {[~A $\bigvee$ (B • ~C)] • [D $\equiv$ (A $\supset$ B)]}

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

Put the following statement in symbolic form using the letters indicated in parentheses: If a combustible material is heated to its kindling point in the presence of oxygen, then burning will occur.(H, B)

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

Two statements have no row of their truth tables on which they are both true.Therefore, the statements are:

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. ~A • (B $\bigvee$ C)

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. If we put a man on the moon but cannot cure the common cold, then if we put a man on Venus, we will not be able to cure acne.

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. I'll call the police or go out looking if she isn't home soon.

Identify which of the following is a correct symbolization of the following statement. If you argue with a fool, people might not know who is the fool.

Symbolize "both not p and not q."

Choose which symbol to use for "but," "however," "nevertheless," and "although."

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. You can rent the movie or read the book.

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. I will drive her to her house or she will take a taxi.

Identify the main connective in the following statement. {[(F $\bigvee$ R) $\equiv$ ~(W • T)] • (N • P)} $\bigvee$ (L $\supset$ ~M)

Classification

Definitions

Propositions

Argument Analysis

Fallacies

Categorical Propositions

Categorical Syllogisms

Reasoning With Syllogisms

Propositional Logic-Arguments

Predicate Logic

Inductive Generalizations

Argument by Analogy

Statistical Reasoning

Explanation

Probability

Filters

Exam 9: Propositional Logic-Propositions

If the antecedent of a conditional is a tautology, then the conditional itself is a:

If the consequent of a conditional is a contingency, then the conditional itself is a:

For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it. Lisa listened to the news, and she isn't happy.(L, H)

Put the following statement in symbolic form using the letters indicated in parentheses: Only if one believes in God can one solve the mystery of why anything exists at all.(B, S)

In the truth table for the statement form ( p • q) ⊃\supset⊃ p, the column of truth values underneath the main connective should be TTTT.Therefore, this statement form is a:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. The argument is sound if and only if the premises are true and the argument is valid.

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. {[~A ⋁\bigvee⋁ (B • ~C)] • [D ≡\equiv≡ (A ⊃\supset⊃ B)]}

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

Put the following statement in symbolic form using the letters indicated in parentheses: If a combustible material is heated to its kindling point in the presence of oxygen, then burning will occur.(H, B)

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

Two statements have no row of their truth tables on which they are both true.Therefore, the statements are:

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. ~A • (B ⋁\bigvee⋁ C)

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. If we put a man on the moon but cannot cure the common cold, then if we put a man on Venus, we will not be able to cure acne.

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. I'll call the police or go out looking if she isn't home soon.

Identify which of the following is a correct symbolization of the following statement. If you argue with a fool, people might not know who is the fool.

Symbolize "both not p and not q."

Choose which symbol to use for "but," "however," "nevertheless," and "although."

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. You can rent the movie or read the book.

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. I will drive her to her house or she will take a taxi.

Identify the main connective in the following statement. {[(F ⋁\bigvee⋁ R) ≡\equiv≡ ~(W • T)] • (N • P)} ⋁\bigvee⋁ (L ⊃\supset⊃ ~M)

Classification

Definitions

Propositions

Argument Analysis

Fallacies

Categorical Propositions

Categorical Syllogisms

Reasoning With Syllogisms

Propositional Logic-Arguments

Predicate Logic

Inductive Generalizations

Argument by Analogy

Statistical Reasoning

Explanation

Probability

Filters

In the truth table for the statement form ( p • q) $\supset$ p, the column of truth values underneath the main connective should be TTTT.Therefore, this statement form is a:

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. {[~A $\bigvee$ (B • ~C)] • [D $\equiv$ (A $\supset$ B)]}

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

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. ~A • (B $\bigvee$ C)

Identify the main connective in the following statement. {[(F $\bigvee$ R) $\equiv$ ~(W • T)] • (N • P)} $\bigvee$ (L $\supset$ ~M)