Final answer:
Abstract objects can be distinguished based on their visual representability. Visually-representable abstract objects like circles differ from non-visually-representable objects like sets. Visual perception plays a role in understanding abstraction which may differ from individual to individual.
Step-by-step explanation:
In discussing abstract objects, it's important to recognize the distinction between those that can be visualized, like circles, and those that are conceptual and don't have a direct visual representation, like sets or abstract concepts in mathematics. While visualization is not always necessary for understanding, it is a common tool for grasping more concrete abstract concepts. The terms you're looking for to distinguish between these types might be visually-representable abstract objects (like geometric shapes) and non-visually-representable abstract objects (like the concept of infinity or theoretical sets).
The nuances of visual perception also contribute to our understanding of abstraction. When we talk about abstraction in art, for example, the term refers to artistic representations that emerge from the real world but are transformed or stylized. This differs from purely abstract mathematical concepts that do not spring from visual observation but from logical constructions and definitions.
Indeed, the way our brain constructs a visual image from sensory input involves complex inferences and not merely a passive recording of data, as demonstrated through optical illusions. These can serve as metaphors for the way abstract concepts might be differently represented or understood in our minds.