 Suppose the antecedent of (LP*) is satisfied by an argument that s has carried out. If s doubts the conclusion of the argument, s should also doubt at least one of its premises. So the argument is unable to dispel doubt about its conclusion and it is non-transmissive in this sense. It can be argued that Water does satisfy the antecedent of (LP*) so that it is non-transmissive in this sense.