7.3.1.2 Exercises on Categorical Syllogisms

Homework exercises on Categorical Syllogisms

Put these in standard form, determine the mood and figure, diagram them and read the diagram for validity, determine which rule is broken if it is invalid, and write a counterexample in that case.

  1. No patrons of fast-food restaurants are health-food addicts. Consequently none of them are connoisseurs of fine desserts, since all connoisseurs of fine desserts are health-food addicts.
  2. All corporations that overcharge their customers are unethical, but some unethical businesses are investor-owned, so some investor-owned utilities overcharge their customers.
  3. Physicists are the only scientists who theorize about the nature of time. Stephen Hawkings does that too, so he must be one.
  4. Whenever suicide rates decline it means people’s lives are better, so people must be happier in general, as suicide rates have been falling.
  5. You can’t deduct all interest expenses on your taxes, and mortgage payments are interest payments so you can deduct them.
  6. Jefferson wrote the Virginia Statute for Freedom of Religion in Fredericksburg, so he’s had a major impact on human rights.
  7. The human mind is not the same thing as the human brain. The human body is a material thing, but the human mind is a spiritual thing, and nothing can be both a material thing and a spiritual thing. (Campbell, Body and Mind)
  8. These men are far from free spirits, for they still believe in truth. (Nietzsche, Genealogy of Morality, III, 24)
  9. Since the good, according to Plato, is that which furthers a person’s real interests, it follows that in any given case, when the good is known, men will seek it. (Stroll & Popkin, Philosophy and the Human Spirit)
  10. I think, therefore I am.  (Descartes)
  11. Dachshunds are ideal dogs for small children, as they are already stretched and pulled to such a length that the child cannot do much harm one way or the other. (Robert Benchley)
  12. Our ideas extend no farther than our experience, and we have no experience of divine attributes. I need not conclude my syllogism. (Hume, Dialogues Concerning Natural Religion)

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