Multiple Choice: Click on the correct answer and the page will jump forward to the next problem.
1. Two sentences are logically equivalent if and only if ...
a. it is impossible for one to be true while the other is false. b. it is possible for one to be true while the other is false. c. it is impossible for both to be true. d. it is impossible for both to be false.
4. Which of the following English statements would seem to be logically true.
a. Bush is president(in 2006). b. Bush is either president or he's not(in 2006). c. Bush is president or Cheney is president (in 2006). d. Bush is president and Cheney is vice president (in 2006).
6. A collection of statements is logically inconsistent if and only if
a. it not possible for all these statements to be false together. b. it not possible for all these statements to be true together. c. both of the above d. none of the above.
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