 Blackburn’s response to the finitude problem is open to criticism. First, Blackburn’s talk of procedures Jones is disposed to use is illegitimate in this context: to “use” a “procedure” is to follow a rule, and we cannot help ourselves to the idea that Jones is following the rule for addition here (or any rule, for that matter), as it is Jones’s status as a rule-follower that we are hoping to recover from facts about her dispositions. What we can say is that as far as the accessible cases go, the answers Jones is disposed to give conform to the rule for addition. But, of course, they also conform to the rule for quaddition. What makes Jones an adder, and not a quadder, according to Blackburn’s suggestion, is that were Jones’s dispositions in the accessible cases allowed to manifest themselves in the inaccessible cases, she would respond with the sum, and not the quum.