True or False
Laws of Logic
Conditional Equivalences
Converse
Inverse
Contrapositive
Negate
100
T ^ ~ F
What is true?
100
~ ( P V Q) = ~P ^ ~Q
What is Demorgan's Law
100
Making a snowman implies that it snowed.
What is "If you make a snowman then it snowed."?
100
The converse of If you blow out all the candles then your wish will come true.
What is If your wish comes true then you blow out all the candles.
100
None of the frogs are poisonous.
What is Some frogs ae poisonous.
200
~ ( T -> F)
What is true?
200
P -> Q P_____ Q
What is modus ponens?
200
The dog will bark provided the dog hears the doorbell ring.
What is If the dog hears the doorbell ring then, he will bark.
200
The inverse of If you do not get a good grade then you can redo the assignment.
What is If you get a good grade then you can not redo the assignment.
200
Some tigers are not black and yellow.
What is All tigers are black and yellow.
300
F <---> F
What is true?
300
P -> Q _~Q____ ~P
What is modus tollens?
300
The show is not on Hulu or I would watch it.
What is If the show is on Hulu then I will watch it.
300
The contrapositive of if you do not go to the game then you will not see the half-time show.
What is If you see the half time show then you go to the game.
300
The store is closed and the lights are off.
What is The store is not closed or the lights are on.
400
(F V F) -> F
What is true?
400
X V Z ~Z _____ X
What is the disjunctive syllogism?
400
The alarm clock ringing is a sufficient condition for me to wake up.
What is If the alarm goes off then I wake up.
400
True or false; The contrapositive is logically equivalent to its conditional statement.
What is true?
400
The book was lost or stolen.
What is The book was not lost and not stolen.
500
T <---> F
What is false?
500
A -> B B - > C C -> D ______ A -> D
What is the law of syllogism?
500
I will go to the museum only if there is a new exibit.
What is If I go to the museum then they have a new exhibit. OR If there is not a new exhibit then I will not go to the museum.
500
True or False: The inverse and converse of a conditional statement are equivalent.
What is true?
500
If you follow the rules then you will not be punished.
What is You follow the rules and you are punished.
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