5.Such an interaction occurs, for example, when the technologist, in applying a particular concept of purescience to a practical problem, reveals a gap or limitation in the theoretical model, thus pointing the way for further basic research.
6.Owing to the interdependence between pure and applied science, it is easy to see that this system carries considerable dangers for the future of science.
10."The science of pure mathematics, in its modern development, may claim to be the most original creation of the human spirit"(Alfred North Whitehead).