The following “Theorem” is obviously not true. Explain what’s wrong with the proof. Theorem: 1 is the largest natural number. Proof: The proof is by contradiction. Let n be the largest natural number and suppose that n > 1. Multiplying both sides of this inequality by n we see that n2 > n. Thus, n2 is a natural number greater than n, contradicting the fact that n is the largest natural number. So, the assumption n > 1 is wrong, and therefore n = 1. So, 1 is the largest natural number. Can I get a step-by-step process to answer this question please I don't understand it at all?

Answered: The following “Theorem” is obviously not true. Explain what’s wrong with the proof. Theorem: 1 is the largest natural number. Proof: The proof is by…

Advanced Engineering Mathematics

10th Edition

ISBN: 9780470458365

Author: Erwin Kreyszig

Publisher: Wiley, John & Sons, Incorporated

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The following “Theorem” is obviously not true. Explain what’s wrong with the proof.

Theorem: 1 is the largest natural number.

Proof: The proof is by contradiction. Let n be the largest natural number and suppose that n > 1. Multiplying both sides of this inequality by n we see that n² > n. Thus, n² is a natural number greater than n, contradicting the fact that n is the largest natural number. So, the assumption n > 1 is wrong, and therefore n = 1. So, 1 is the largest natural number.

Can I get a step-by-step process to answer this question please I don't understand it at all?

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