What is wrong with the following proof that every positive integer equals the next larger positive integer? "Proof." Let $P ( n )$ be the proposition that $n = n + 1$. Assume that $P ( k )$ is true, so that $k = k + 1$. Add 1 to both sides of this equation to obtain $k + 1 = k + 2$. Since this is the statement $P ( k + 1 )$, it follows that $P ( n )$ is true for all positive integers $n$.

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The Answer of What is wrong with the following proof that every positive integer equals the next larger positive integer? "Proof." Let $P ( n )$ be the proposition that $n = n + 1$. Assume that $P ( k )$ is true, so that $k = k + 1$. Add 1 to both sides of this equation to obtain $k + 1 = k + 2$. Since this is the statement $P ( k + 1 )$, it follows that $P ( n )$ is true for all positive integers $n$.

What Is Wrong with the Following Proof That Every Positive P(n)P ( n )P(n)

What Is Wrong with the Following Proof That Every Positive $P ( n )$