1 Is The Largest Positive Integer

Algebra Level 1

Theorem. Among all positive integers, the integer 1 is the largest.

Step 1.Take any integer \( n \neq 1 \).
Step 2.Since \( n^2 > n \), it is not the largest positive integer.
Step 3.Therefore, 1 is the largest integer.

What is the error (if any) in the above proof?

Once you eliminate the impossible, whatever remains, no matter how improbable, must be the truth. - Sherlock Holmes


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