1. The minor premise contains the predicate of the conclusion.
True or false.
2. Inconsistent sentences cannot all be true.
True or false.
Universal affirmatives distribute the predicate phrase.
True or false.
3. What is the contraposition of the following sentence "No boats are forests"?
a. No non-forests are non-boats
b. No forests are boats
c. No boats are not non-forests.
d. All boats are non-forests
4. If "No boats are forests" is true, what is the truth value of the contrapositive?
a. True
b. False
c. Undetermined
5. What is the obverse of the following sentence "All merchants are helpful."
a. All non-helpful beings are non-merchants.
b. No merchants are non-helpful.
c. All helpful beings are merchants.
d. All merchants are non-helpful.
6. If the sentence "All merchants are helpful" is false, what is the truth value of the obverse?
a. True
b. False
c. Undetermined
7. Using the traditional or Aristotelian square of opposition, what is the subcontrary of the following sentence "Some syllogisms are oysters"?
a. Some syllogisms are not oysters.
b. Some non-oysters are non-syllogisms.
c. All syllogisms are oysters.
d. No syllogisms are oysters.
8. Assess the following argument for validity and invalidity in Boolean and Aristotelian.
Some adults are allowed to drive.
No teenagers are adults.
C: No teenagers are allowed to drive.
a. Valid, both
b. Valid Aristotelian, Invalid Boolean
c. Invalid, both
9. This argument is invalid: True or false? ~A v B / ~B v ~B // ~A
True or false.
10. These statements are consistent: ~A v ~B and ~(B * A)
True or false.
11. Match the example of a categorical proposition with the type of sentence it is: universal affirmative (A), particular affirmative (I), universal negative (E), or particular negative (O).
1a. No chickens are made of paper. - E
2a. Some lawns are not cupcakes. - O
3a. Some hikes are amazing. - I
4a. All pumpkins are plants. - A
12. If the sentence "Some string beans are not green" is true, then what is the truth value of each of the following (true, false, or undetermined):
1b. All string beans are green - False
2b. Some string beans are green - Undetermined
3b. No string beans are green - False