Valid Argument Forms

Question 1

All boys like to play computer games. Tom is a boy. Therfore, Tom likes to play computer games.

Answer 1

Affirming the Sufficient
A -> B
A
\_\_\_\_\_\_
B

Question 2

All doctors treat patients. Hercules does not treat patients. Therefore, Hercules is not a doctor.

Answer 2

Denying the Necessary
A ->B
/B
\_\_\_\_\_\_
/A

Question 3

Everyone has the capacity to love. To love requires compassion. Therefore, everyone has compassion.

Answer 3

The Transitive
A -> B -> C
__________
A -> C

Question 4

Some dogs are cute. All cute things are lovable. Therfore, some dogs are lovable.

Answer 4

A some B -> C
_____________
A some C

Question 5

Most cats are aloof. Everything that’s aloof is arrogant. Therefore, most cats are arrogant.

Answer 5

A most B -> C
____________
A most C

Question 6

All turtles know kung fu. All turtles are named after Italian artists. Therefore, some things that know kung fu are named after Italian artists.

Answer 6

A -> B
A -> C
______
B some C

Question 7

All A’s are B’s. Some A’s are C’s. Therefore, some B’s are C’s.

Answer 7

A -> B
A some C
________
B some C

Question 8

All Stars are bright. Most stars are supermassive. Therefore, some things that burn bright are supermassive.

Answer 8

A -> B
A most C
________
B some C

Question 9

Most turtles are delicious to eat. Most turtles know kung fu. Therefore, some things that are delicious to eat know kung fu.

Answer 9

A most B
A most C
________
B some C