Your "friend" has shown you a “proof" he wrote to show that 1 = 3. Here is the proof: Proof. I claim that 1 = 3. Of course we can do anything to one side of an equation as long as we also do it to the other side. So subtract 2 from both sides. This gives -1 = 1. Now square both sides, to get 1 = 1. And we all agree this is true. QED What is going on here? Is your friend's argument valid? Is the argument a proof of the claim 1 = 3? Carefully explain using what we know about logic.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Your "friend" has shown you a "proof" he wrote to show that 1 = 3.
Here is the proof:
Proof. I claim that 1
of an equation as long as we also do it to the other side. So subtract
2 from both sides. This gives -1 = 1. Now square both sides, to get
1 = 1. And we all agree this is true.
%3D
3. Of course we can do anything to one side
||
QED
What is going on here? Is your friend's argument valid? Is the
argument a proof of the claim 1 = 3? Carefully explain using what we
know about logic.
Transcribed Image Text:Your "friend" has shown you a "proof" he wrote to show that 1 = 3. Here is the proof: Proof. I claim that 1 of an equation as long as we also do it to the other side. So subtract 2 from both sides. This gives -1 = 1. Now square both sides, to get 1 = 1. And we all agree this is true. %3D 3. Of course we can do anything to one side || QED What is going on here? Is your friend's argument valid? Is the argument a proof of the claim 1 = 3? Carefully explain using what we know about logic.
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