2. (a) True Statement, (b) Statement, but its truth value
depends on the day of the week the statement was made, (c) Not
a Statement, (d) True Statement, (e) False Statement, (f) Not
a Statement.
6. (a) p ^ q ^ r, (b) ~p ^ (q v r), (c) ~(p ^ q), (d) p v
~p, (e) p v ~q.
10. (a) Statement, (b) Not a Statement, (c) Not a Statement,
(d) Statement.
14. (a) F, (b) T, (c) F, (d) F, (e) T, (f) T.
18. They have the same truth values under the same truth conditions;
hence, the two statements are logically equivalent.
22. (a) It is not the case that July 14th is Bastille day.
22. (b) It is not the case that the Mississippi is a river.
22. (c) It is not the case that July 14th is Bastille day
and it is not the case that the Mississippi is a river.
22. (d) It is not the case that either July 14th is Bastille
day or the Mississippi is a river.
22. (e) It is not the case that July 14th is Bastille day
or it is not the case that the Mississippi is a river.
22. (f) It is not the case that either July 14th is Bastille
day and the Mississippi is a river.
26. This is an extra credit problem, if your instructor assigns
it as such.
