An element of a Division Ring, used for measuring, counting, quantifying, etc.

| Set Name | Symbol | Description | Examples |
|---|---|---|---|
| Natural Number | Counting numbers | ||
| Whole Number | Nonzero Integers | ||
| Integer | Natural numbers, their negatives, and zero. | ||
| Rational Number | Any number expressible as a fraction | ||
| Irrational Number | Numbers that cannot be fractions (non-repeating decimals). | ||
| Real Number | All points on the continuous number line ( | ||
| Imaginary Number | |||
| Complex Number | |||
| Quaternion | |||
| Octonion | Takes up too much space |