why truth tables? we will learn several ways to evaluate arguments for validity. * proofs * truth...
TRANSCRIPT
Why Truth Tables?
We will learn several ways to evaluate arguments for validity.
* Proofs* Truth Tables* Trees
Why Truth Tables?
There is no way to show that an argument is INVALIDwith the proof method.
Why Truth Tables?
There is no way to show that an argument is INVALIDwith the proof method.
Your failure to find a proof does not showan argument is INVALID.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTF
-PFT
The truth value of -P is the opposite of the value of P.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTF
-PFT
The truth value of -P is the opposite of the value of P.
Dogs are mammals.
Dogs are not mammals.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTF
-PFT
The truth value of -P is the opposite of the value of P.
Dogs are fish.
Dogs are not fish.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P&QTFFF
The truth value of P&Q is T iffP is T AND Q is T.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
PvQTTTF
The truth value of PvQ is T iffP is T OR Q is T.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P<>QTFFT
The truth value of P<>Q is T iffthe values of P and Q match .
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P<>QTFFT
The truth value of P<>Q is T iffthe values of P and Q match .
Watch Out!
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
The only F row
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
If water is wet,then dogs are mammals.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
If dogs are mammals,then dogs have hair.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
If the moon is made of cheese,then some people are wrong.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
If the moon is made of cheese,then the moon is edible.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QT?T?FT?
The truth value of P>Q is T iffP is F OR Q is T.
If water is wet,then dogs are mammals.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QT?T?FT?
The truth value of P>Q is T iffP is F OR Q is T.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
Basic Truth Tables
Truth tables tell us how to calculate truth values (T or F) ofa complex statement give that we know the values of its parts.
PTFTF
QTTFF
P>QTTFT
The truth value of P>Q is T iffP is F OR Q is T.
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