Neutral relations revisited

Do non-symmetric relations apply to the objects they relate in an order? According to the standard view of relations, the difference between aRb and bRa obtaining, where R is non-symmetric, corresponds to a difference in the order in which the non-symmetric relation R applies to a and b. Recently Kit Fine has challenged the standard view in his important paper ?Neutral Relations? arguing that non-symmetric relations are neutral, lacking direction or order. In this paper I argue that Fine cannot account for the application of non-symmetric relations to their relata; so far from being neutral, these relations are inherently directional.