I examine how entrepreneurs can search systematically for discoveries. I use consideration sets to impose constraints on how and where entrepreneurs search. A consideration set is a promising set of information channels, which entrepreneurs can select and search based on prior knowledge. To decide how to search the channels in a consideration set, I apply existing mathematical formalism to illustrate a maximal search sequence. Because there is some probability that a search sequence could continue indefinitely, I determine stopping rules. I argue that entrepreneurial search is more feasible within a consideration set than it is in the rest of the world.