[ndileas]

You could say the exact same set of objections to shoreline paradox.

[Jensson]

But most borders are not defined as "on the shoreline", they are defined using something reliable.

[ndileas]

Exactly. The coastline paradox is a mathematical curiousity, not a practical objection to measuring things. Coastlines are not infinite length in practice. You define a system of measurement then a length in that system

[falcor84]

What? Neither of those three applies to a shoreline.

[ndileas]

Physical shorelines instantiations of a true fractal are always limited. I'd go so far as to say that there is no such real object in the world.