Counting is such a fundamental process tat someone would have to invent them. Alternatively, humans could be less delveloped than other species that do have a sense of integers and their conservation.
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There would be no mathematics and so no science or technology and so no computers through which you could ask this question.
No. They would then be mixed numbers, not integers.
That will happen if you have 5 integers.
They are the negative integers.
It is if we only consider integers. If we consider all real numbers, for example, it would not be.