for
Section 1: Statements and Logical Operators
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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)
~(p
q)
43. I shall either buy a new calculus book or a used one.
45. Here is one possible answer: "What does this question ask?"
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![]() | Stefan Waner (matszw@hofstra.edu) | ![]() | Steven R. Costenoble (matsrc@hofstra.edu) |