Lesson test: The conditional

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The conditional

1.[2p]
$P \to Q$ is false in exactly one case. Which?

$P$ true and $Q$ false

Correct

$P$ false and $Q$ true

The answer is: $P$ true and $Q$ false

Both false

The answer is: $P$ true and $Q$ false

Both true

The answer is: $P$ true and $Q$ false

2.[2p]
What is $\neg Q \to \neg P$ called, relative to $P \to Q$ ?

CorrectNot quite: contrapositive

3.[3p]
Which of these are equivalent to $P \to Q$ ?

Select all that apply

$\neg Q \to \neg P$

Correct

$\neg P \lor Q$

Correct

$\neg (P \land \neg Q)$

Correct

$Q \to P$

The answer is: $\neg Q \rightarrow \neg P$, $\neg P \vee Q$, $\neg (P \wedge \neg Q)$

4.[3p]
"Only ticket holders may enter" is best written as

$E \to T$

Correct

$T \to E$

The answer is: $E \rightarrow T$

$T \land E$

The answer is: $E \rightarrow T$

$\neg T \to E$

The answer is: $E \rightarrow T$

5.[2p]
Given $P \to Q$ , match each condition to its role.

necessary for P
sufficient for Q

Show the answer

P: sufficient for Q Q: necessary for P

6.[3p]
In Wason's selection task with cards D, K, 3 and 7 and the rule "if a card has a D on one side it has a 3 on the other", which cards must be turned?

D and 7

Correct

D and 3

The answer is: D and 7

D alone

The answer is: D and 7

All four

The answer is: D and 7

7.[3p]
Why is turning the 3 card useless?

Whatever is behind it, no rule is broken, so checking it is affirming the consequent

Correct

The rule mentions only letters

The answer is: Whatever is behind it, no rule is broken, so checking it is affirming the consequent

It is already known to satisfy the rule's antecedent

The answer is: Whatever is behind it, no rule is broken, so checking it is affirming the consequent

It could only confirm the converse, which is equivalent anyway

The answer is: Whatever is behind it, no rule is broken, so checking it is affirming the consequent

8.[2p]
"If the moon is made of cheese then Paris is in Spain" is true as a material conditional.

True

Correct

False

The answer is: True

9.[3p]
Filling both antecedent-false rows with false would make the conditional identical to which connective?

$P \land Q$

Correct

$P \leftrightarrow Q$

The answer is: $P \wedge Q$

$Q$ on its own

The answer is: $P \wedge Q$

$P \lor Q$

The answer is: $P \wedge Q$

1.[2p] P→Q is false in exactly one case. Which?

2.[2p] What is ¬Q→¬P called, relative to P→Q?

3.[3p] Which of these are equivalent to P→Q?

4.[3p] "Only ticket holders may enter" is best written as

5.[2p] Given P→Q, match each condition to its role.

6.[3p] In Wason's selection task with cards D, K, 3 and 7 and the rule "if a card has a D on one side it has a 3 on the other", which cards must be turned?

7.[3p] Why is turning the 3 card useless?

8.[2p] "If the moon is made of cheese then Paris is in Spain" is true as a material conditional.

9.[3p] Filling both antecedent-false rows with false would make the conditional identical to which connective?

1.[2p]
$P \to Q$ is false in exactly one case. Which?

2.[2p]
What is $\neg Q \to \neg P$ called, relative to $P \to Q$ ?

3.[3p]
Which of these are equivalent to $P \to Q$ ?

4.[3p]
"Only ticket holders may enter" is best written as

5.[2p]
Given $P \to Q$ , match each condition to its role.

6.[3p]
In Wason's selection task with cards D, K, 3 and 7 and the rule "if a card has a D on one side it has a 3 on the other", which cards must be turned?

7.[3p]
Why is turning the 3 card useless?

8.[2p]
"If the moon is made of cheese then Paris is in Spain" is true as a material conditional.

9.[3p]
Filling both antecedent-false rows with false would make the conditional identical to which connective?