This book represents the buoy that marks the transition of neutrosophy from the emergence phase to the incidence phase. Like any entity, ideas are born and acquire emergence. Some ideas impose and pass to the stage of incidence. Other ideas fade away. For some ideational configurations, the emergence matures into incidence, for others the emergence gets into implosion. In other words, some emergences are validated and accredited, and others get into the implosion. Any emergence is a promise. When they keep their promises, they are felt as strong ideas, as influential ideas and, thus, they have an impact in different areas of the universe of knowledge. Emergence is a tectonic development. Incidence is the emergence applicability and its certification.

Florentin Smarandache is a professor at the University of New Mexico who has published 250 papers and over 100 books of science. Stefan Vladutescu is an associate professor at the University of Craiova who has published 14 professional books and 110 scientific papers.