Here are the answers to the handout on deductive arguments that we went over in class.
1) All bats are mammals.
All mammals live on earth.All bats live on earth.
Valid, Sound
2) All students in here are mammals.
All humans are mammals.All students in here are humans.
Invalid (what if a dog were a student in our class?),
Unsound (because it's invalid)
3) (from Stephen Colbert)
Bush is either a great prez or the greatest prez.
Bush isn’t a great prez.Bush is the greatest prez.
Valid, Unsound (questionable premises)
4) All BCC students are humans.
Most humans are shorter than 7 feet tall.Most BCC students are shorter than 7 feet tall.
Invalid (there could be a lot of tall BCC students even if most humans aren't tall), Unsound (because it's invalid)
5) Some people are funny.
Sean is a person.Sean is funny.
Invalid (only some are funny, so I don't have to be funny), Unsound (because it's invalid)
6) If Sean sings, then students cringe.
Sean is singing right now.Students are cringing right now.
Valid, Unsound (false second premise: I'm not singing right now)
7) All email forwards are annoying.
Some email forwards are false.Some annoying things are false.
Valid, Unsound (questionable first premise)
8) If Sean sings, then students cringe.
Sean isn't singing right now.Students aren't cringing right now.
Invalid (students could cringe for a different reason), Unsound (it's invalid)
9) All bats are mammals.
All bats have wings.All mammals have wings.
Invalid (bad structure), Unsound (because it's invalid)
10) If Sean sings, then students cringe.
Students aren't cringing right now.Sean isn't singing right now.
Valid, Unound (first premise is questionable)
11) All dads have beards.
All bearded people are mean.All dads are mean.
Valid, Unsound (premise 1 is false and premise 2 is questionable)
12) If Sean sings, then students cringe.
Students are cringing right now.Sean is singing right now.
Invalid (I don't have to sing for students to cringe), Unsound (it's invalid, and false second premise)
13) Mexico borders oceans on the east and west.
USA borders oceans on the east and west.
Guatemala borders oceans on the east and west.
Australia borders oceans on the east and west.Most countries border oceans on the east and west.
Invalid (the premises don't guarantee the conclusion), Unsound (it's invalid)