Propositional Logic

Question 1

Propositional Logic

Answer 1

It is a declarative sentence, has at truth value and can be determined.

Question 2

~

Answer 2

Not

Answer 3

And

Question 4

˅

Answer 4

Or

Question 5

->

Answer 5

If-then

Question 6

< - >

Answer 6

if and only if

Question 7

P: The printer is working today.

~P: ?

Answer 7

The printer is not working today.

Question 8

P^Q = ?

Answer 8

both P and Q

Question 9

P: It is raining right now.
Q: It is cold right now.
P^Q: ?

Answer 9

It is raining and cold right now.

Question 10

P^Q is true if and only if P and Q are what?

Answer 10

True

Question 11

AND:

When P is True, and Q is True, then P^Q is:

Answer 11

True

Question 12

AND:

When P is True, and Q is False, then P^Q is:

Answer 12

False

Question 13

AND:

When P is False, and Q is True, then P^Q is:

Answer 13

False

Question 14

AND:

When P is False, and Q is False, then P^Q is:

Answer 14

False

Question 15

P˅Q is read as:

Answer 15

P or Q

Question 16

P˅Q = _____ of P and Q

Answer 16

atleast one

Question 17

P: Michael is late for class.
Q: Michael is sick today.
P˅Q: ?

Answer 17

Michael is late for class or is sick today.

Question 18

OR:

When P is True, and Q is True, then P˅Q is:

Answer 18

True

Question 19

OR:

When P is True, and Q is False, then P˅Q is:

Answer 19

True

Question 20

OR:

When P is False and Q is True, then P˅Q is:

Answer 20

True

Question 21

OR:

When P is False, and Q is False, then P˅Q is:

Answer 21

False

Question 22

~P -> ~Q

Answer 22

Inverse

Question 23

Q -> P

Answer 23

Converse

Question 24

~Q -> ~P

Answer 24

Contrapositive

Question 25

IF THEN: | When P is True, and Q is True, then P->Q is:

Answer 25

True

Question 26

IF THEN: | When P is True, and Q is False, then P->Q is:

Answer 26

False

Question 27

IF THEN: | When P is False, and Q is True, then P->Q is:

Answer 27

True

Question 28

IF THEN: | When P is False, and Q is False, then P->Q is:

Answer 28

True

Question 29

P < - > Q means:

Answer 29

P if and only if Q | or if P then Q and if Q then P

Question 30

IF AND ONLY IF: | When P is True, and Q is True, then P< - >Q is:

Answer 30

True

Question 31

IF AND ONLY IF: | When P is True, and Q is False, then P< - >Q is:

Answer 31

False

Question 32

IF AND ONLY IF: | When P is False, and Q is True, then P< - >Q is:

Answer 32

False

Question 33

IF AND ONLY IF: | When P is False, and Q is False, then P< - >Q is:

Answer 33

True