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?
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?
Given Data:
Given Theorem is : 1 is the largest natural number.
This theorem is not true.
We have to explain the proof of this theorem correctly.
Step by step
Solved in 2 steps
