Question 1

Two statements are both true on exactly one row of their truth tables.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 2

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 got the check and deposited it.

Accepted Answer

Components: I got th

Question 3

Two statements are contradictory.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 4

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

Question 5

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.
Glory may be fleeting, but obscurity is forever.

Accepted Answer

Components: Glory ma

Question 6

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.
You'll win the lottery only if you have a lottery ticket.(W, H)

Accepted Answer

The connective is "only if," which is sy

Question 7

In the truth table for the statement form p • q, the column of truth values underneath the main connective should be TFFF.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 8

The negation of a tautology 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 9

The connective used for conjunctions is:

Accepted Answer

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

Question 10

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective.
[(T • T) $\bigvee$ S] $\bigvee$ (N $\equiv$ ~ N)

Accepted Answer

(a) Atomic statements: T, S, N

Question 11

The disjunction of two equivalent statements 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 12

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.
Provided you show photo identification, you'll be permitted to cast a ballot.(S, B)

Accepted Answer

The main connective is "provided," which

Question 13

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
The cat is not in the bag.

Accepted Answer

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

Question 14

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

Accepted Answer

(a) Atomic statement

Question 15

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
I told you once and I told you twice, but you never listen to my advice.

Accepted Answer

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

Question 16

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.
Affirming the consequent looks very similar to modus ponens, but it's not valid.(A, V)

Accepted Answer

The main connective is "but," an express

Question 17

The statement form p $\equiv$ q is:

Accepted Answer

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

Question 18

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
It is not cheap to dine out every night.

Accepted Answer

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

Question 19

Symbolize "p or q but not both."

Accepted Answer

A) p $\bigvee$ q 
B) (p $\bigvee$ q) • (~p • ~q) 
C) (p$\bigvee$ q) • ~(p $\supset$ q) 
D) (p $\bigvee$ q) • ~(p • q) 
E) (p $\bigvee$ q) • (~p $\supset$  q) 
A) p $\bigvee$ q 
B) (p $\bigvee$ q) • (~p • ~q) 
C) (p$\bigvee$ q) • ~(p $\supset$ q) 
D) (p $\bigvee$ q) • ~(p • q) 
E) (p $\bigvee$ q) • (~p $\supset$  q)

Question 20

Two statements are consistent.Therefore, they are also:

Accepted Answer

A) contradictory 
B) coherent 
C) inconsistent 
D) tautological 
E) unable to determine from the information given 
A) contradictory 
B) coherent 
C) inconsistent 
D) tautological 
E) unable to determine from the information given

Two statements are both true on exactly one row of their truth tables.Therefore, the statements are:

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 got the check and deposited it.

Two statements are contradictory.Therefore:

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

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. Glory may be fleeting, but obscurity is forever.

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. You'll win the lottery only if you have a lottery ticket.(W, H)

In the truth table for the statement form p • q, the column of truth values underneath the main connective should be TFFF.Therefore, this statement form is a:

The negation of a tautology is itself a:

The connective used for conjunctions is:

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. [(T • T) $\bigvee$ S] $\bigvee$ (N $\equiv$ ~ N)

The disjunction of two equivalent statements is itself 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. Provided you show photo identification, you'll be permitted to cast a ballot.(S, B)

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. The cat is not in the bag.

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

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. I told you once and I told you twice, but you never listen to my advice.

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. Affirming the consequent looks very similar to modus ponens, but it's not valid.(A, V)

The statement form p $\equiv$ q is:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. It is not cheap to dine out every night.

Symbolize "p or q but not both."

Two statements are consistent.Therefore, they are also:

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

Two statements are both true on exactly one row of their truth tables.Therefore, the statements are:

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 got the check and deposited it.

Two statements are contradictory.Therefore:

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

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. Glory may be fleeting, but obscurity is forever.

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. You'll win the lottery only if you have a lottery ticket.(W, H)

In the truth table for the statement form p • q, the column of truth values underneath the main connective should be TFFF.Therefore, this statement form is a:

The negation of a tautology is itself a:

The connective used for conjunctions is:

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. [(T • T) ⋁\bigvee⋁ S] ⋁\bigvee⋁ (N ≡\equiv≡ ~ N)

The disjunction of two equivalent statements is itself 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. Provided you show photo identification, you'll be permitted to cast a ballot.(S, B)

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. The cat is not in the bag.

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

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. I told you once and I told you twice, but you never listen to my advice.

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. Affirming the consequent looks very similar to modus ponens, but it's not valid.(A, V)

The statement form p ≡\equiv≡ q is:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. It is not cheap to dine out every night.

Symbolize "p or q but not both."

Two statements are consistent.Therefore, they are also:

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

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. [(T • T) $\bigvee$ S] $\bigvee$ (N $\equiv$ ~ N)

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

The statement form p $\equiv$ q is: