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 n1 n \neq 1 .
Step 2.Since n2>n 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


Problem Loading...

Note Loading...

Set Loading...