On Mon, Jan 7, 2019 at 12:19 PM David Mertz <mertz@gnosis.cx> wrote:
Under a partial ordering, a median may not be unique.  Even under a total ordering this is true if some subset of elements form an equivalence class.  But under partial ordering, the non-uniqueness can get much weirder.

I'm sure with more thought, weirder things can be thought of.  But just as a quick example, it would be easy to write classes such that:

    a < b < c < a

In such a case (or expand for an odd number of distinct things), it would be reasonable to call ANY element of [a, b, c] a median. That's funny, but it is not imprecise.

Keeping medicines from the bloodstreams of the sick; food
from the bellies of the hungry; books from the hands of the
uneducated; technology from the underdeveloped; and putting
advocates of freedom in prisons.  Intellectual property is
to the 21st century what the slave trade was to the 16th.