Question 1

If neither 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 
A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 2

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
The wind blew and the rain fell, but they still played and it was a great game.

Accepted Answer

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

Question 3

If neither main component of a biconditional is a tautology, 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 
A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 4

Identify the main connective in the following statement. [(G • O) $\bigvee$ (A $\supset$ ~M)] $\equiv$[(G • O) $\bigvee$ (A $\supset$ ~M)]

Accepted Answer

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

Question 5

The negation of a self-contradiction is itself 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 6

In the truth table for the statement form ~(p $\supset$p), the column of truth values underneath the main connective should be FF.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 7

In the truth table for the statement form p $\bigvee$ p, the column of truth values underneath the main connective should be TF.Therefore, the 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 8

If only one conjunct of a conjunction is a tautology, 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 
A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 9

The statement form p • q is:

Accepted Answer

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

Question 10

Prove the following claim:
A disjunction with one tautological disjunct must itself be a tautology.

Accepted Answer

The tautological disjunct will be true o

Question 11

If only one disjunct of a disjunction is a tautology, 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 12

Two statements are equivalent.Therefore:

Accepted Answer

A) the two statements have the same truth value on each row of their truth tables 
B) there is at least one row on which the two statements have opposite truth values 
C) the two statements have opposite truth values on every row 
D) there is at least one row on which the statements are both true 
E) there is no row on which both statements are true 
A) the two statements have the same truth value on each row of their truth tables 
B) there is at least one row on which the two statements have opposite truth values 
C) the two statements have opposite truth values on every row 
D) there is at least one row on which the statements are both true 
E) there is no row on which both statements are true

Question 13

In the truth table for the statement form p $\supset$ q, the column of truth values underneath the antecedent should be:

Accepted Answer

A) TF 
B) TTFF 
C) TFTF 
D) TTTTFFFF 
E) TTFFTTFF 
A) TF 
B) TTFF 
C) TFTF 
D) TTTTFFFF 
E) TTFFTTFF

Question 14

For the statement below, classify the statement by identifying the main connective and construct a truth table.
(P $\equiv$ Q)$\bigvee$ (P • ~Q)

Accepted Answer

"@#LAT-DLM&" is the main connective.The truth tabl

Question 15

In the truth table for the statement form ~(p • q), the column of truth values underneath the main connective should be FTTT.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 16

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective.
(N $\equiv$ R) $\supset$ B

Accepted Answer

(a) Atomic statements: N, R, B

Question 17

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

Accepted Answer

(a) Atomic statement

Question 18

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

Accepted Answer

(a) Atomic statements: A, B, C

Question 19

If both main components of a biconditional are contingencies, 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 
A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 20

If only one conjunct of a conjunction is a self-contradiction, 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 
A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

If neither conjunct of a conjunction is a contingency, then the conjunction itself is a:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. The wind blew and the rain fell, but they still played and it was a great game.

If neither main component of a biconditional is a tautology, then the biconditional itself is a:

Identify the main connective in the following statement. [(G • O) $\bigvee$ (A $\supset$ ~M)] $\equiv$ [(G • O) $\bigvee$ (A $\supset$ ~M)]

The negation of a self-contradiction is itself a:

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

In the truth table for the statement form p $\bigvee$ p, the column of truth values underneath the main connective should be TF.Therefore, the statement form is a:

If only one conjunct of a conjunction is a tautology, then the conjunction itself is a:

The statement form p • q is:

Prove the following claim: A disjunction with one tautological disjunct must itself be a tautology.

If only one disjunct of a disjunction is a tautology, then the disjunction itself is a:

Two statements are equivalent.Therefore:

In the truth table for the statement form p $\supset$ q, the column of truth values underneath the antecedent should be:

For the statement below, classify the statement by identifying the main connective and construct a truth table. (P $\equiv$ Q) $\bigvee$ (P • ~Q)

In the truth table for the statement form ~(p • q), the column of truth values underneath the main connective should be FTTT.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. (N $\equiv$ R) $\supset$ B

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

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

If both main components of a biconditional are contingencies, then the biconditional itself is a:

If only one conjunct of a conjunction is a self-contradiction, then the conjunction itself is a:

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 neither conjunct of a conjunction is a contingency, then the conjunction itself is a:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. The wind blew and the rain fell, but they still played and it was a great game.

If neither main component of a biconditional is a tautology, then the biconditional itself is a:

Identify the main connective in the following statement. [(G • O) ⋁\bigvee⋁ (A ⊃\supset⊃ ~M)] ≡\equiv≡ [(G • O) ⋁\bigvee⋁ (A ⊃\supset⊃ ~M)]

The negation of a self-contradiction is itself a:

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

In the truth table for the statement form p ⋁\bigvee⋁ p, the column of truth values underneath the main connective should be TF.Therefore, the statement form is a:

If only one conjunct of a conjunction is a tautology, then the conjunction itself is a:

The statement form p • q is:

Prove the following claim: A disjunction with one tautological disjunct must itself be a tautology.

If only one disjunct of a disjunction is a tautology, then the disjunction itself is a:

Two statements are equivalent.Therefore:

In the truth table for the statement form p ⊃\supset⊃ q, the column of truth values underneath the antecedent should be:

For the statement below, classify the statement by identifying the main connective and construct a truth table. (P ≡\equiv≡ Q) ⋁\bigvee⋁ (P • ~Q)

In the truth table for the statement form ~(p • q), the column of truth values underneath the main connective should be FTTT.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. (N ≡\equiv≡ R) ⊃\supset⊃ B

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. A ⊃\supset⊃ B

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

If both main components of a biconditional are contingencies, then the biconditional itself is a:

If only one conjunct of a conjunction is a self-contradiction, then the conjunction itself is a:

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

Identify the main connective in the following statement. [(G • O) $\bigvee$ (A $\supset$ ~M)] $\equiv$ [(G • O) $\bigvee$ (A $\supset$ ~M)]

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

In the truth table for the statement form p $\bigvee$ p, the column of truth values underneath the main connective should be TF.Therefore, the statement form is a:

In the truth table for the statement form p $\supset$ q, the column of truth values underneath the antecedent should be:

For the statement below, classify the statement by identifying the main connective and construct a truth table. (P $\equiv$ Q) $\bigvee$ (P • ~Q)

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. (N $\equiv$ R) $\supset$ B

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

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