mssl

Question 1

P ∨ Q:

Answer 1

P or Q. (Both P and Q might be true.)

Question 2

Both P and Q.
 P when Q.
 P but Q.
 P although Q.
 P in addition to Q.
 P and moreover, Q.

Answer 2

P ∧ Q:

Question 3

¬(P ∨ Q):

Answer 3

Neither P nor Q.

Question 4

¬P ∨ ¬Q:

Answer 4

It is not the case that P or it is not the case that Q. (One or the other or both P and Q
could be false.)

Question 5

¬(P ∧ Q)

Answer 5

It is not the case that both P and Q.(Only one the disjuncts could be true, or neither
could be true; one or the other or both P and Q could be false.)

Question 6

¬P ∧ ¬Q:

Answer 6

It is not the case that P and it is not the case that Q. (This is equivalent to Neither P
nor Q.)

Question 7

(P ∨ Q) ∧ ¬(P ∧ Q):

Answer 7

Either P or Q, but not both P and Q. (Only one or the other is true.)

Question 8

If P, then Q.
P only if Q.
Q, if P.
Q, provided that P

Answer 8

P → Q:

Question 9

P ↔ Q:

Answer 9

If P, then Q, and if Q, then P.
P only if Q and Q only if P.
Q if and only if (iff) P.
P if and only if (iff) Q.
P just in case Q.
Q just in case P.

Question 10

De morgan –(p∧q)

Answer 10

(–P v –Q)

Question 11

De morgan –(P v Q)

Answer 11

(–P∧–Q)

Question 12

Tautologically equivalent

Answer 12

if both the main connective columns are identical

Question 13

Tautology

Answer 13

Only T’s under the main connective

Question 14

TT possible

Answer 14

one row in the sentence comes out all true