Argument forms

Question 1

Modus ponens

Answer 1

1. p->q
2. p
   …q

Question 2

Modus tollens

Answer 2

1. p->q
2. ~q
   …~p

Question 3

Hypothetical syllogism

Answer 3

1. p->q
2. q->r
   …p->r

Question 4

Disjunctive syllogism

Answer 4

1. pvq
2. ~p
   …q

Question 5

Constructive dilemma

Answer 5

1. pvq
2. p->r
3. q->s
   …rvs