Syllogism · solved example
Statements: No cat is a dog. All dogs are pets. Conclusions: I. Some pets are not cats. II. No cat is a pet.
- Only conclusion I followsCorrect
- Only conclusion II follows
- Either I or II follows
- Neither I nor II follows
- Both I and II follow
Solution
All dogs are pets and no dog is a cat, so those dog-pets are pets that are not cats - I follows. II overreaches: cats could still be pets by some other route, so it is not forced and does not follow.