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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 = 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 11. And we all agree this is true. What is going on here? Is your friends argument valid? Is the argument a proof of the claim 1 = 3? Carefully explain using what we know about logic. Hint: What implication follows from the given proof?

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 11. And we all agree this is true. What is going on here? Is your friends argument valid? Is the argument a proof of the claim 1 = 3? Carefully explain using what we know about logic. Hint: What implication follows from the given proof?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = 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. = What is going on here? Is your friends argument valid? Is the argument a proof of the claim 1 3? Carefully explain using what we know about logic. Hint: What implication follows from the given proof?
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 = 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. = What is going on here? Is your friends argument valid? Is the argument a proof of the claim 1 3? Carefully explain using what we know about logic. Hint: What implication follows from the given proof?
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