Membership under changing attention and scale

What happens to a category boundary when resolution and the features receiving attention change?

Formülasyon

A recognizable whole can cease to resemble that category under magnification. Ratio or change may survive where an object category does not. Fractal boundaries are proposed as a language for this variability.

Gerilim

Attention, resolution, topology, and fractal dimension are related proposals here, not interchangeable mathematical objects.

Açık soru

Can the same observation change category solely because attention changes, while its measured scale stays fixed?