Leibniz's notation for calculus didn't start out as creative breakage, it meant what it said on the tin, dy/dx is an infinitesimal fraction. By comparison the m

Leibniz's notation for calculus didn't start out as creative breakage, it meant what it said on the tin, dy/dx is an infinitesimal fraction. By comparison the modern notion of a derivative is that of a higher order function of type (R -> R) -> (R -> R). Something that was only made clear with the advent of types in the turn of the last century. Creative breakage is a bug which tells you to think harder about what you're doing.