What is the term used for the Greek column style that has no base and is known for its simplicity?

The term used for the Greek column style that has no base and is known for its simplicity is indeed the Doric order. This architectural style is characterized by its sturdy and plain columns, which typically have a fluted shaft and a simple, rounded capital. The Doric order emerged in the archaic period of Greek architecture and is often associated with strength and functionality, making it particularly suitable for temples and public buildings.

Unlike the Ionic and Corinthian orders, which feature more elaborate designs and ornate bases, the Doric column stands directly on the stylobate, or upper step of the temple platform, creating a robust and straightforward aesthetic. The lack of a base contributes to this simplicity, aligning with the Doric order's representation of the ideals of Greek architecture during its development. The Composite order, while also an architectural style, combines elements of both the Ionic and Corinthian styles and does not share the same simplicity that characterizes the Doric.