Chapter 4 Review Exercises
ex I -- Symbolizations

The following contain easy and more difficult examples. Make sure they all make sense to you!   Flash Symbolization Help

Use the following interpretation:

A: Ames is a politician.
B: Bates is a politician.
C: Connors is a politician.
D: Ames is disreputable.
E: Bates is emotional.
F: Connors is fastidious.

  1. Ames is a politician and he's not disreputable.
  2. Ames is a politician if and only if he's not disreputable.
  3. Ames is a politician if he's not disreputable.
  4. Ames is a politician unless he's not disreputable.
  5. Ames is a politician only if he's not disreputable.
  6. Neither Bates nor Connors is a politician.
  7. Bates and Connors aren't both politicians.
  8. Bates and Connors both aren't politicians.
  9. If both Bates and Connors are politicians, Ames is disreputable.
  10. If Bates is emotional unless Connors is a politician, then Ames is disreputable.
  11. If Bates is a politician provided Connors is not, then both are politicians.
  12. At least one of the three is a politician.
  13. Exactly one of the three is a politician.
  14. If Connors is fastidious and Bates emotional, then Connors is a politician only if Bates is not.
  15. Connors is a politician unless she is fastidious, in which case she is not a politician but Ames is.