Counting Numbers:  The set of numbers = {1, 2, 3, 4, 5, 6, 7, 8, 9, ...,n}

                                                         n is a positive integer but n not equal to 0

Whole Numbers: The set of numbers = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ...,n}

                                             n is a positive integer

Positive Integers:  The set of numbers = {1, 2, 3, 4, 5, 6, 7, 8, 9, ...,n}
                                or the counting numbers

Negative Integers:  The set of numbers = {-1, -2, -3, -4, -5, -6, -7, -8, -9, ...,n}
                                or opposite of the counting numbers

Zero, 0:  An integer or an whole number

Integers:  The set of numbers = {...., -4, -3, -2, -1, 0, -1, -2, -3, -4, ...}