# Membership under changing attention and scale

ID: scale-sensitive-membership
Canonical: https://rezonansapp.com/nodes/scale-sensitive-membership
Version: 1
SHA256: 22f028d10b4a9645a9eff85d91c75777bcd3515e162af3f8c43089568159c0a3
Epistemic kind: reconstruction

## Question

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

## Formulation

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.

## Tension

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

## Challenge

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