Installation: What is a field?

field :   

1. A broad, level, open expanse of land.
2. A cultivated expanse of land, especially one devoted to a particular crop: a field of corn.
3. A portion of land or a geologic formation containing a specified natural resource.
4. A wide unbroken expanse, as of ice.
5. A battleground
6. A background area, as on a flag, painting, or coin: a blue insignia on a field of red.
7. An area in which an athletic event takes place.
8. An area of human activity or interest: several fields of endeavor.
9. A topic, subject, or area of academic interest or specialization.
10. Profession, employment, or business.
11. Mathematics. A set of elements having two operations, designated addition and multiplication, satisfying the conditions that multiplication is distributive over addition, that the set is a group under addition, and that the elements with the exception of the additive identity form a group under multiplication.
12. Physics. A region of space characterized by a physical property, such as gravitational or electromagnetic force or fluid pressure, having a determinable value at every point in the region.
13. Computer Science. An element of a database record in which one piece of information is stored.