2.4a
Deductive Concepts

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.

2. Given the definitions for the connectives, 'CvK' is logically equivalent to
a. K>C b. C&K c. ~K&~C d. KvC

3. A sentence is logically true if and only if
a. it could not possibly be true. b. it could not possibly be false. c. it could not possibly be true and false. d. none of the above.

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).

5. From the definitions of the connectives, say which of the following SL sentence is logically true.
a. Pv~P b. P&B c. P d. All of the above.

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.

7. Which of the following is a collection of sentences which is logically inconsistent?
a. { A , B , A&C } b. { A , ~B , A&C } c. { A , ~B , ~A&C } d. All of the above.

 

 

 

 

 

 

 

 

 

Good, you've come to the end.
You successfully completed...
       

 

Show results so far...