Why 1000 miles? That's an arbitrary number.
"That's not a bug; it's a feature." And it gets better. Not only is 1000 an arbitrary number, but mile is an arbitrary unit from the English unit system, and England is an arbitrary country. Adopting this definition would be truth in advertising: a frank and long-overdue admission that the world of inanimate objects is a continuum, astronomical classifications are an exercise in drawing lines upon it, and the distinction between asteroids and planets is no more "out there waiting to be discovered" than the distinction between planets and brown dwarf stars. "Cutting nature at its joints" is for biologists.
But why 1000 miles? That's because, of all the arbitrary numbers of all the arbitrary units from all the arbitrary countries on an arbitrary planet that we could pick, that one is perfect. (And therefore, in some twisted sense, not arbitrary.
) There was a wonderful period piece a while back called
"The Englishman Who Went Up a Hill But Came Down a Mountain"; it's an exact metaphor for the Pluto debate. It's a loosely fact-based movie about a Welsh community that was proud of its mountain and not altogether thrilled about the English surveyors there to measure it and determine if it was really a mountain or merely a hill, based on whether it was over 1000 feet high.
(Of course, if the IAU ever does decide to restore traditional terminology by drawing an arbitrary line just below Pluto, they will inevitably decide it's more scientific to draw the line at a radius of 1000 kilometers, thereby lousing up the lesson in what is and isn't science.)