1. The statement says: "There is a positive integer that is less than or equal to every positive integer." This means we're looking for a positive integer $n$ such that for every positive integer $m$, $n \leq m$. 2. Consider the set of all positive integers: $\{1, 2, 3, \ldots\}$. We want to find an integer $n$ that is smaller than or equal to all these members. 3. By definition, $1$ is the smallest positive integer. Since $1 \leq m$ for every positive integer $m$, choosing $n=1$ satisfies the condition. 4. Therefore, the positive integer described is $1$. Answer: The integer is $1$ because it is the smallest positive integer and thus less than or equal to every positive integer.