Introduction to Logic
by
Stefan Waner and Steven R. Costenoble

Answers to Exercises
for
Section 1: Statements and Logical Operators

1. Statements and Logical Operators 2. Logical Equivalences, ... Main Logic Page "Real World" Page
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1. A false statement .

3. Not a statement, since it is not a declarative sentence;

5. A false statement; Father Nikolsky is a fictitious character, and thus he didn't exist..

7. A true statement.

9. A hopefully true statement.

11. A statement whose truth value depends on what he, she or it has uttered.

13. Not a statement, since it is self-referential.

15. (~p)q

17. (pr)q

19. p(~p)

21. Willis is a good teacher and his students do not hate math.

13. Either Willis is a good teacher, or his students hate math and Carla is not a good teacher.

25. Either Carla is a good teacher, or he is not.

27. Willis' students both hate and do not hate math.

29. It is not true that either Carla is a good teacher or his students hate math.

31. F

33. F

35. T

37. T

39. T

41. p ý q = (pq)~(pq)

43. I shall either buy a new calculus book or a used one.

45. Here is one possible answer: "What does this question ask?"

1. Statements and Logical Operators 2. Logical Equivalences, ... Main Logic Page "Real World" Page
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We would welcome comments and suggestions for improving this resource. Mail us at:
Stefan Waner (matszw@hofstra.edu) Steven R. Costenoble (matsrc@hofstra.edu)
Last Updated: July, 1996
Copyright © 1996 StefanWaner and Steven R. Costenoble