Convert each of the following argu- ments into formal statements, e.g., define sentences existentially and/or universally quantified statements. Then determine which rules of logic have been applied and explain whether or not they have been ap- plied correctly.

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Convert each of the following argu- ments into formal statements, e.g., define sentences existentially and/or universally quantified statements. Then determine which rules of logic have been applied and explain whether or not they have been ap- plied correctly.

 

 

8. All numbers that are divisible by
two are even. 17 is not divisible by
two. Therefore 17 is not even.
9. If b2 > 4ac then there are two real
0 that
are given by (-b±vb? – 4ac)/(2a).
Therefore x? + 5x + 1 = 0 has two
roots of ax2 + bx + c =
real roots.
10. If a is any real number then x2 +
a?
0 does not have any real so-
lution. Therefore there is no real
solution to x2 + 4 = 0.
Transcribed Image Text:8. All numbers that are divisible by two are even. 17 is not divisible by two. Therefore 17 is not even. 9. If b2 > 4ac then there are two real 0 that are given by (-b±vb? – 4ac)/(2a). Therefore x? + 5x + 1 = 0 has two roots of ax2 + bx + c = real roots. 10. If a is any real number then x2 + a? 0 does not have any real so- lution. Therefore there is no real solution to x2 + 4 = 0.
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