The Integers are the whole numbers, both positive and negative and including zero. The usual symbol for the set of integers is a "blackboard bold" Z - a Z with two strokes on the diagonal.


The integers have a natural embedding into the rational numbers, and contain the natural numbers.

More technical stuff ...

The integers can be constructed from the counting numbers (the natural numbers not including 0) as follows: The same technique of equivalence classes of pairs can be used to create the rational numbers from the integers.
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