For 10 points, name this set of numbers that includes zero, all natural numbers, and their negatives.
De Bruijn defined a subset of these entities as "universally bad." These objects can be represented using twos complement notation. Any real number can be converted to a number of this type using a function symbolized by square brackets, and the set of these numbers is denoted Z. A Diophantine equation restricts the solution space to these numbers, and rational numbers can be expressed as a ratio of two of these numbers. For 10 points, name this set of numbers that includes zero, all natural numbers, and their negatives.
De Bruijn defined a subset of these entities as "universally bad."
{integers}