Rate, probability and matching: comments on "The identities hidden in the matching laws, and their uses" by David Thorne

David Thorne's (2010) article, "The identities hidden in the matching laws, and their uses" performs a valuable service in pointing out alternative expressions of matching. However, some identities tend to obscure rather than illuminate empirical relationships. Three such problematic instances are discussed: interresponse time as a function of interval and ratio schedule parameters; probability equality as implying rate matching; the apparent simplicity of probabilistic functions, as opposed to response rate functions, of reinforcement rate.