Propositional Logic Flashcards

It's a declarative sentence, has a true value and can be determined.

1
Q

Propositional Logic

A

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

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2
Q

~

A

Not

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3
Q
A

And

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4
Q

˅

A

Or

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5
Q

->

A

If-then

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6
Q

< - >

A

if and only if

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7
Q

P: The printer is working today.

~P: ?

A

The printer is not working today.

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8
Q

P^Q = ?

A

both P and Q

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9
Q

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

A

It is raining and cold right now.

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10
Q

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

A

True

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11
Q

AND:

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

A

True

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12
Q

AND:

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

A

False

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13
Q

AND:

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

A

False

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14
Q

AND:

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

A

False

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15
Q

P˅Q is read as:

A

P or Q

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16
Q

P˅Q = _____ of P and Q

A

atleast one

17
Q

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

A

Michael is late for class or is sick today.

18
Q

OR:

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

A

True

19
Q

OR:

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

A

True

20
Q

OR:

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

A

True

21
Q

OR:

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

A

False

22
Q

~P -> ~Q

A

Inverse

23
Q

Q -> P

A

Converse

24
Q

~Q -> ~P

A

Contrapositive

25
Q

IF THEN:

When P is True, and Q is True, then P->Q is:

A

True

26
Q

IF THEN:

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

A

False

27
Q

IF THEN:

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

A

True

28
Q

IF THEN:

When P is False, and Q is False, then P->Q is:

A

True

29
Q

P < - > Q means:

A

P if and only if Q

or if P then Q and if Q then P

30
Q

IF AND ONLY IF:

When P is True, and Q is True, then P< - >Q is:

A

True

31
Q

IF AND ONLY IF:

When P is True, and Q is False, then P< - >Q is:

A

False

32
Q

IF AND ONLY IF:

When P is False, and Q is True, then P< - >Q is:

A

False

33
Q

IF AND ONLY IF:

When P is False, and Q is False, then P< - >Q is:

A

True