Also, by ‘less accurate definition’ do you just mean that a stipulated definition can differ from the intuitive definition that we don’t have access to?
Not “just”. Not every change is an improvement, but every improvement is a change. There can be better definitions of whatever the intuitions are talking about, and they will differ from the intuitive definitions. But when the purpose of discussion is referred by an unclear intuition with no other easy ways to reach it, stipulating a different definition would normally be a change that is not an improvement.
I suspect that intuitive definitions are often much less successful at capturing an empirical cluster than some stipulated definitions.
It’s not easy to find a more successful definition of the same thing. You can’t always just say “taboo” and pick the best thought that decades of careful research failed to rule out. Sometimes the intuitive definition is still better, or, more to the point, the precise explicit definition still misses the point.
Not “just”. Not every change is an improvement, but every improvement is a change. There can be better definitions of whatever the intuitions are talking about, and they will differ from the intuitive definitions. But when the purpose of discussion is referred by an unclear intuition with no other easy ways to reach it, stipulating a different definition would normally be a change that is not an improvement.
It’s not easy to find a more successful definition of the same thing. You can’t always just say “taboo” and pick the best thought that decades of careful research failed to rule out. Sometimes the intuitive definition is still better, or, more to the point, the precise explicit definition still misses the point.