Final answer:
The terms 'non-representational' and 'non-objective' accurately describe art that does not depict the natural world and is purely abstract. Representational art seeks to mimic visuals from reality but still shows the artist's interpretation.
Step-by-step explanation:
The statement that 'non-representational' and 'non-objective' art does not represent or otherwise refer to the visible world outside of itself is true. 'Non-representational' art is indeed not concerned with depicting recognizable objects from the visible, natural world. Instead, it explores art through the use of abstract elements such as color, form, and line. An important aspect of nonrepresentational art is that it is pure abstraction - it is free from any representational qualities and has a degree of independence from visual references in the world.
Representational Art, on the other hand, strives to recreate our visual experience of the world in a realistic or life-like manner. It often looks 'real' because it's based on the actual object as we perceive it in reality. Yet, even within representational art, the artist's interpretation and technique are discernible, making the art distinct from the actual object.
Understanding the differences between abstract, representational, and nonrepresentational art is crucial for recognizing these styles in various works of art.