The set \(\{\ldots,-4,-3,-2,-1,0,1,2,3,4, \ldots\}\) is called the set of integers. To verify this, we can check if the set includes all positive and negative whole numbers, including zero.
The set \(\{\ldots,-4,-3,-2,-1,0,1,2,3,4, \ldots\}\) is defined as the set of integers. This set includes all positive and negative whole numbers, including zero.
To verify, we can list a subset of integers within a specific range. For example, the set of integers from \(-10\) to \(10\) is:
\[
\{-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}
\]
\(\boxed{\text{integers}}\)