Question 1

In a disjunction, if one statement is false while the other is true, the whole disjunction is

Accepted Answer

A)  false. 
B)  negated. 
C)  true. 
D)  both true and false. 
A)  false. 
B)  negated. 
C)  true. 
D)  both true and false.

Question 2

The first step in the short method is to

Accepted Answer

A)  examine the conclusion. 
B)  locate the conditionals. 
C)  write out the symbolized argument in a single row. 
D)  find the conclusion of the argument. 
A)  examine the conclusion. 
B)  locate the conditionals. 
C)  write out the symbolized argument in a single row. 
D)  find the conclusion of the argument.

Question 3

If a negation is negated, the result is a positive statement.

Accepted Answer

A) True 
 B)False

Question 4

The idea behind _______ is that if the negation of a statement leads to falsehood, then the statement itself must be true.

Accepted Answer

A)  denying the antecedent 
B)  modus tollens 
C)  reductio ad absurdum 
D)  modus ponens 
A)  denying the antecedent 
B)  modus tollens 
C)  reductio ad absurdum 
D)  modus ponens

Question 5

How is the argument form affirming the consequent symbolized?

Accepted Answer

A)  p $\rightarrow$q q
$\therefore$ p 
B)  p $\rightarrow$ q p
$\therefore$ q 
C)  p $\rightarrow$ q
~p
$\therefore$~q 
D)  p $\rightarrow$ q
~q
$\therefore$ ~p 
A)  p $\rightarrow$q q
$\therefore$ p 
B)  p $\rightarrow$ q p
$\therefore$ q 
C)  p $\rightarrow$ q
~p
$\therefore$~q 
D)  p $\rightarrow$ q
~q
$\therefore$ ~p

Question 6

If only one statement in a disjunction is true, the whole disjunction is false.

Accepted Answer

A) True 
 B)False

Question 7

What is the symbolic form of the sentence "It is not the case that philosophy is dead, and it is not true that science has replaced it"?

Accepted Answer

A)  p v q 
B)  ~p & ~q 
C)  p*q 
D)  ~p & q 
A)  p v q 
B)  ~p & ~q 
C)  p*q 
D)  ~p & q

Question 8

"He supported the revolution, and he was arrested without being charged" is a conjunction.

Accepted Answer

A) True 
 B)False

Question 9

The procedure for confirming the validity of an argument by deducing its conclusion from its premises using simple, valid argument forms is known as the

Accepted Answer

A)  short method. 
B)  method of proof. 
C)  technique of validity. 
D)  counterexample method. 
A)  short method. 
B)  method of proof. 
C)  technique of validity. 
D)  counterexample method.

Question 10

If an argument form is valid, what does that imply about other arguments using the same form? How does that fact help you evaluate arguments?

Accepted Answer

If an argument form is valid, it implies

Question 11

How are the six common argument forms highlighted in the text symbolized?

Accepted Answer

To provide an accurate answer to how the

Question 12

The standard practice in propositional logic is to assume the exclusive sense of the word or when dealing with disjunctions.

Accepted Answer

A) True 
 B)False

Question 13

The name of this rule of replacement-(p$\rightarrow$ q) $ \equiv$ (~p v q)-is explication.

Accepted Answer

A) True 
 B)False

Question 14

The name of the following rule of replacement is
(p & q) $ \equiv$ (q & p)
(p v q) $ \equiv$(q v p)

Accepted Answer

A)  double negation. 
B)  association. 
C)  modus tollens. 
D)  commutation. 
A)  double negation. 
B)  association. 
C)  modus tollens. 
D)  commutation.

Question 15

What are the four connectives in propositional logic, how are they symbolized, and what do they mean?

Accepted Answer

The four connectives in propositional lo

Question 16

Each component statement in a compound statement is called a conjunct.

Accepted Answer

A) True 
 B)False

Question 17

What is the name of the following rule of inference?
(p $\rightarrow$ q) & (r $\rightarrow$ s)
P v r
$\therefore$
 q v s

Accepted Answer

A)  Restrictive dilemma 
B)  Constructive dilemma 
C)  Disjunctive syllogism 
D)  Denying the consequent 
A)  Restrictive dilemma 
B)  Constructive dilemma 
C)  Disjunctive syllogism 
D)  Denying the consequent

Question 18

The truth table for the following argument is:
 $$\begin{array} { c c c c c } 
p & q & p \& q & p \rightarrow q & p \rightarrow ( p \& q ) \
\hline T & T & T & T & T \
T & F & F & F & F \
F & T & F & T & T \
F & F & F & T & T
\end{array}$$

Accepted Answer

A) True 
 B)False

Question 19

How do parentheses change the meaning of symbolized statements?

Accepted Answer

In logic and mathematics, parentheses pl

Question 20

The rules of replacement stipulate that some statements have the same

Accepted Answer

A)  symbolic form. 
B)  truth value. 
C)  meaning. 
D)  logical connectives. 
A)  symbolic form. 
B)  truth value. 
C)  meaning. 
D)  logical connectives.

In a disjunction, if one statement is false while the other is true, the whole disjunction is

The first step in the short method is to

If a negation is negated, the result is a positive statement.

The idea behind _______ is that if the negation of a statement leads to falsehood, then the statement itself must be true.

How is the argument form affirming the consequent symbolized?

If only one statement in a disjunction is true, the whole disjunction is false.

What is the symbolic form of the sentence "It is not the case that philosophy is dead, and it is not true that science has replaced it"?

"He supported the revolution, and he was arrested without being charged" is a conjunction.

The procedure for confirming the validity of an argument by deducing its conclusion from its premises using simple, valid argument forms is known as the

If an argument form is valid, what does that imply about other arguments using the same form? How does that fact help you evaluate arguments?

How are the six common argument forms highlighted in the text symbolized?

The standard practice in propositional logic is to assume the exclusive sense of the word or when dealing with disjunctions.

The name of this rule of replacement-(p $\rightarrow$ q) $\equiv$ (~p v q)-is explication.

The name of the following rule of replacement is (p & q) $\equiv$ (q & p) (p v q) $\equiv$ (q v p)

What are the four connectives in propositional logic, how are they symbolized, and what do they mean?

Each component statement in a compound statement is called a conjunct.

What is the name of the following rule of inference? (p $\rightarrow$ q) & (r $\rightarrow$ s) P v r $\therefore$ q v s

The truth table for the following argument is: p q p\&q p\rightarrowq p\rightarrow(p\&q) T T T T T T F F F F F T F T T F F F T T

How do parentheses change the meaning of symbolized statements?

The rules of replacement stipulate that some statements have the same

The Power of Critical Thinking

Obstacles to Critical Thinking

Making Sense of Arguments

Reasons for Belief and Doubt

Media Manipulation: Fake News, Bias, and Advertising

Fallacies and Persuaders

Deductive Reasoning: Categorical Logic

Inductive Reasoning

Inference to the Best Explanation

Judging Scientific Theories

Critical Thinking in Morality and the Law

Filters

Exam 7: Deductive Reasoning: Propositional Logic

In a disjunction, if one statement is false while the other is true, the whole disjunction is

The first step in the short method is to

If a negation is negated, the result is a positive statement.

The idea behind _______ is that if the negation of a statement leads to falsehood, then the statement itself must be true.

How is the argument form affirming the consequent symbolized?

If only one statement in a disjunction is true, the whole disjunction is false.

What is the symbolic form of the sentence "It is not the case that philosophy is dead, and it is not true that science has replaced it"?

"He supported the revolution, and he was arrested without being charged" is a conjunction.

The procedure for confirming the validity of an argument by deducing its conclusion from its premises using simple, valid argument forms is known as the

If an argument form is valid, what does that imply about other arguments using the same form? How does that fact help you evaluate arguments?

How are the six common argument forms highlighted in the text symbolized?

The standard practice in propositional logic is to assume the exclusive sense of the word or when dealing with disjunctions.

The name of this rule of replacement-(p →\rightarrow→ q) ≡ \equiv≡ (~p v q)-is explication.

The name of the following rule of replacement is (p & q) ≡ \equiv≡ (q & p) (p v q) ≡ \equiv≡ (q v p)

What are the four connectives in propositional logic, how are they symbolized, and what do they mean?

Each component statement in a compound statement is called a conjunct.

What is the name of the following rule of inference? (p →\rightarrow→ q) & (r →\rightarrow→ s) P v r ∴\therefore∴ q v s

The truth table for the following argument is: p q p\&q p\rightarrowq p\rightarrow(p\&q) T T T T T T F F F F F T F T T F F F T T

How do parentheses change the meaning of symbolized statements?

The rules of replacement stipulate that some statements have the same

The Power of Critical Thinking

Obstacles to Critical Thinking

Making Sense of Arguments

Reasons for Belief and Doubt

Media Manipulation: Fake News, Bias, and Advertising

Fallacies and Persuaders

Deductive Reasoning: Categorical Logic

Inductive Reasoning

Inference to the Best Explanation

Judging Scientific Theories

Critical Thinking in Morality and the Law

Filters

The name of this rule of replacement-(p $\rightarrow$ q) $\equiv$ (~p v q)-is explication.

The name of the following rule of replacement is (p & q) $\equiv$ (q & p) (p v q) $\equiv$ (q v p)

What is the name of the following rule of inference? (p $\rightarrow$ q) & (r $\rightarrow$ s) P v r $\therefore$ q v s