In this paper, Florentin Smarandache, reputed professor at University of New Mexico, presents a new branch of philosophy, called neutrosphy, which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Florin Smarandache is not only a high level scientist, he is also a propensity and complete artist who wanted to express and to share his cognition, thoughts, ideas in a moment and in a place when and where, was not possible, it was necessary to find the way to communicate somehow: so, it was born “the paradoxism”.