Form B Test 2

Question 1

What is a statement?

Answer 1

A sentence that is true or false

Question 2

What are three types of sentences that are not statements?

Answer 2

questions
commands
nonsense

Question 3

What is a tautology?

Answer 3

a statement that is true by logical structure.

Question 4

Write a statement that is supported by authority.

Answer 4

Jesus was born in Bethlehem. (come up with your own)

Question 5

Give an example of a self-contradiction:

Answer 5

(any answer of the form P and not P)

That person is a boy and not a boy.

Question 6

Give an example of a self-report

Answer 6

I think camping is fun.

Question 7

Give an example of a True by definition statement.

Answer 7

Patience is a virtue.

Question 8

What are four relationships between statements?

Answer 8

consistency
implication
equivalence
independence

Question 9

Is this statement consistent?

“My teacher wears glasses. / My teacher has poor eyesight.”

Answer 9

Yes

Question 10

Is this statement consistent? “It snows every winter. / Some winters it does not snow.”

Answer 10

No

Question 11

Is this statement consistent?

“You get up every morning / You could be a musician.”

Answer 11

Yes

Question 12

Is this statement consistent?

“Some books are electronic devices. / No books are electronic devices.”

Answer 12

No

Question 13

Does this first statement imply the second statement?

“Jack is Jill’s brother. / Jill has a brother.”

Answer 13

Yes

Question 14

Does the first statement imply the second statement?

“Everybody loves me. / My mother loves me.”

Answer 14

Yes

Question 15

Does the first statement imply the second statement?

“Jesus preached in Nazareth. / Jesus preached in Jerusalem.”

Answer 15

No

Question 16

Does the first statement imply the second statement?

“No Jews are Gentiles / No Gentiles are Jews”

Answer 16

Yes

Question 17

Are these two statements logically equivalent?

“All humans are mammals / All mammals are humans”

Answer 17

No

Question 18

Are these two statements logically equivalent?

“Some teachers are parents. / Some parents are teachers.”

Answer 18

Yes

Question 19

Are these two statements logically equivalent?

“No rugs are carpets. / No carpets are rugs”

Answer 19

Yes

Question 20

Are these two statements logically equivalent?

“Tom has the measles. / Tom is ill.”

Answer 20

No

Question 21

Are these two statements logically independent?

“It is later than 1:00 pm / It is later than 2:00 pm”

Answer 21

No

Question 22

Are these two statements logically independent?

“Saturn is a planet. / Saturn was the Roman God of time.”

Answer 22

Yes

Question 23

Are these two statements logically independent?

“Some siblings are twins. / Some siblings are not twins.”

Answer 23

No

Question 24

Are these two statements logically independent?

“Jesus turned the water to wine. / Jesus performed miracles.”

Answer 24

No

Question 25

Can two statements be related by implication and inconsistency?

Answer 25

No

Question 26

In logic, what is a real disagreement?

Answer 26

Statements that cannot both be true; an actual inconsistency.

Question 27

What is an apparent disagreement, and how does it differ from a verbal disagreement?

Answer 27

An apparent disagreement is a difference in belief or opinion, but a verbal disagreement is caused by a difference in definition.

Question 28

Rewrite the statement so that it uses only the verb of being. "I look to the sea"

Answer 28

I am a sea looker.

Question 29

Rewrite the statement so that it uses only the verb of being. "The angels sang to the shepherds."

Answer 29

The angels were singers to the shepherds.

Question 30

Rewrite the statement so that it uses only the verb of being. "The president will take an oath."

Answer 30

The president will be an oath taker

Question 31

Rewrite the statement so that it uses only the verb of being. "Some carpenters do not preach the gospel."

Answer 31

Some carpenters are not gospel preachers.