We test an argument by considering all the critical rows. If the conclusion is true in all critical rows, then the argument is valid. This is another way of saying the conclusion of a valid argument must be true in every case where all the premises are true. Look for rows where all premises are true. premise premise 2 conclusior t t + u F F F F F We see that the 1st and 3rd rows are critical rows. In the 1st row, the conclusion is true. However, in the 3rd row, a critical row, the conclusion is false. Thus this argument is

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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We test an argument by considering all the critical rows. If the conclusion is true in all critical rows, then the argument is valid. This is another way of saying the
conclusion of a valid argument must be true in every case where all the premises are true.
Look for rows where all premises are true.
premise
premise 2
conclusion
t
t → u
t
T
T
F
F
F
T
F
T
F
F
F
We see that the 1st and 3rd rows are critical rows. In the 1st row, the conclusion is true. However, in the 3rd row, a critical row, the conclusion is false.
Thus this argument is
Transcribed Image Text:We test an argument by considering all the critical rows. If the conclusion is true in all critical rows, then the argument is valid. This is another way of saying the conclusion of a valid argument must be true in every case where all the premises are true. Look for rows where all premises are true. premise premise 2 conclusion t t → u t T T F F F T F T F F F We see that the 1st and 3rd rows are critical rows. In the 1st row, the conclusion is true. However, in the 3rd row, a critical row, the conclusion is false. Thus this argument is
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