This paper argues for an Integral approach to science, which consists of interior, exterior, individual, and collective dimensions, all of which must be included in the various knowledge quests of science. A basic methodology consisting of injunction, apprehension, and communal consensus is elaborated to help create a broad umbrella for distinguishing valid scientific endeavors. Distinctions are drawn between contemporary science and Integral Science, with the conclusion that an Integral approach allows for a greater opportunity for transdisciplinary learning and cohesiveness in the overall scientific endeavor.