Chapter 6 Study Questions

  1. What is categorical logic?
  2. What is a categorical statement?
  3. What are the four standard forms of categorical statements and what letters of the alphabet designate them?
  4. What are the four main parts of a categorical statement?
  5. What is a quantifier?
  6. What does the term quality refer to in regard to categorical statements?
  7. Why is translation an important skill in logic?
  8. What is the first step in translating statements into standard form?
  9. What term (subject or predicate) do the words “only” and “only if” precede in an A-statement?
  10. In an A-statement, the words “the only” precede what term?
  11. How can a singular statement be translated into standard form?
  12. What are the quantifiers in the following statements?
    a) “Every soldier is a warrior.”
    b) “Kangaroos are good jumpers.”
  13. What is the Venn diagram for an I-statement? For an A-statement?
  14. What is the Venn diagram for “All S are non-P”? What is the Venn diagram for “No P are S”? Are these two statements equivalent?
  15. What is a categorical syllogism?
  16. What is the subject term in a categorical syllogism? The predicate term?
  17. What is the procedure for checking the validity of a categorical syllogism?
  18. If we reverse the position of S and P in each of the four basic forms of categorical statement (i.e., A, E, I, and O), in which of the four cases will we end up with a logically equivalent statement, and in which of the cases will we end up with a statement that is not equivalent? How do the Venn diagrams corresponding to the statements show this?
  19. What three rules can be used for testing a categorical syllogism for validity without using a diagram?
  20. Do we ever diagram the conclusion of a categorical syllogism, when using a Venn diagram to test it for validity? Why or why not?
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