In this paper we present a new branch of philosophy, called Neutrosophy, which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophy is a generalization of dialectics. While the Dialectics means the dynamics of opposites ( and ), the Neutrosophy means the dynamics of opposites together with the neutrals between them: , , and . The Fundamental Thesis: Any idea is T% true, I% indeterminate, and F% false, where T, I, F are standard or non-standard subsets included in ]0-, 1+[. The Fundamental Theory: Every idea tends to be neutralized, diminished, balanced by ideas (not only , as Hegel asserted) - as a state of equilibrium. Neutrosophy is the base of neutrosophic logic, a multiple value logic that generalizes the fuzzy logic, of neutrosophic set that generalizes the fuzzy set, and of neutrosphic probability and neutrosophic statistics, which generalize the classical and imprecise probability and statistics respectively.

There are people for whom are too few things they do not know how to do, to approach them, to understand them. There are people who is enough to look at them because they understood the significance in your eyes, are people for whom you have not finished the uttered sentence and they are given the solution, there are ...people!

N-Norm and N-conorm are extended in Neutrosophic Logic/Set.

Examples of Neutrosophy used in Arabic philosophy:- While Avicenna promotes the idea that the world is contingent if it is necessitated by its causes, Averroes rejects it, and both of them are right from their point of view. Hence and have common parts.- Islamic dialectical theology (kalam) promoting creationism was connected by Avicenna in an extraordinary way with the opposite Aristotelian-Neoplatonic tradition.Much work by Avicenna is neutrosophic.- Averroes's religious judges (qadis) can be connected with atheists' believes.- al-Farabi's metaphysics and general theory of emanation vs. al-Ghazali's Sufi writings and mystical treatises [we may think about a coherence of al-Ghazali's "Incoherence of the Incoherence" book].- al-Kindi's combination of Koranic doctrines with Greek philosophy.- Islamic Neoplatonism + Western Neoplatonism. - Ibn ? Khaldun?s statements in his theory on the cyclic sequence of civilizations, says that: Luxury leads to the raising of civilization (because the people seek for comforts of life) but also Luxury leads to the decay of civilization (because its correlation with ethics corruption).- On the other hand, there?s the method of absent?by?present syllogism in jurisprudence, in which we find the same principles and laws of neutrosophy.- We can also function a lot of Arabic aphorisms, maxims, Koranic miracles (Ayat Al-Qur??n) and Sunna of the prophet, to support the theory of neutrosophy. Take the colloquial proverb that "The continuance of state is impossible" too, or "Everything, if it?s increased over its extreme, it will turn over to its opposite"!

This book was intended to discuss some paradoxes in Quantum Mechanics from the viewpoint of Multi-Valued-logic pioneered by Lukasiewicz, and a recent concept Neutrosophic Logic. Essentially, this new concept offers new insights on the idea of ?identity?, which too often it has been accepted as given.Neutrosophy itself was developed in attempt to generalize Fuzzy-Logic introduced by L. Zadeh. While some aspects of theoretical foundations of logic are discussed, this book is not intended solely for pure mathematicians, but instead for physicists in the hope that some of ideas presented herein will be found useful. The book is motivated by observation that despite almost eight decades, there is indication that some of those paradoxes known in Quantum Physics are not yet solved. In our knowledge, this is because the solution of those paradoxes requires re-examination of the foundations of logic itself, in particular on the notion of identity and multi-valuedness of entity. The book is also intended for young physicist fellows who think that somewhere there should be a ?complete? explanation of these paradoxes in Quantum Mechanics. If this book doesn?t answer all of their questions, it is our hope that at least it offers a new alternative viewpoint for these old questions.

Collected papers on neutrosophics [such as: ?neutrosophy? - a new branch of philosophy, ?neutrosophic logic? ? a generalization of the fuzzy logic, ?neutrosophic set? ? a generalization of the fuzzy set, and ?neutrosophic probability? ? a generalization of classical probability and imprecise probability] by Florentin Smarandache, Jean Dezert, Andrzej Buller, Mohammad Khoshnevisan, Sarjinder Singh, Sukanto Bhattacharya, Feng Liu, Gh. C. Dinulescu-Campina, Chris Lucas, and Carlos Gershenson.Neutrosophic Logic involved the foundation of the Dezert-Smarandache Theory of Plausible and Paradoxical Reasoning, which has taken into consideration the combination of uncertain and contradictory information, used now in artificial intelligence.