positive integers
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Yes, the intersection of non-negative (positive) and non-positive (negative) integers is zero.
No. "Natural numbers" only refers to integers greater or equal to zero, that is, non-negative integers.
They are called integers. Fractions and decimals are NOT integers, even if it has a positive or negative sign.
A negative non integer is a number like -.5. It is a negative number but it is not an integer (integers are numbers like -3, -2, -1, 0, 1, 2, 3)
Negative integers, zero and the positive integers, together form the set of integers.