By Florentin Smarandache

Neutrosophy is a brand new department of philosophy, brought by means of Dr. Florentin Smarandache in 1995, which stories the beginning, nature, and scope of neutralities, in addition to their interactions with varied ideational spectra. Neutrosophic good judgment is a basic framework for unification of many present logics. the most thought of NL is to symbolize each one logical assertion in a 3D Neutrosophic area, the place every one size of the gap represents respectively the reality (T), the falsehood (F), and the indeterminacy (I) of the assertion into consideration, the place T, I, F are commonplace or non-standard genuine subsets of ]-0, 1+[. Neutrosophic Set. permit U be a universe of discourse, and M a collection incorporated in U. a component x from U is famous with recognize to the set M as x(T, I, F) and belongs to M within the following approach: it really is t% precise within the set, i% indeterminate (unknown whether it is) within the set, and f% fake, the place t varies in T, i varies in I, f varies in F. Statically T, I, F are subsets, yet dynamically T, I, F are functions/operators looking on many recognized or unknown parameters. Neutrosophic chance is a generalization of the classical likelihood and vague chance within which the opportunity that an occasion A happens is t% precise - the place t varies within the subset T, i% indeterminate - the place i varies within the subset I, and f% fake - the place f varies within the subset F. In classical likelihood n_sup In obscure likelihood: the likelihood of an occasion is a subset T of [0, 1], now not a host p in [0, 1], what’s left is meant to be the other, subset F (also from the unit period [0, 1]); there isn't any indeterminate subset I in vague likelihood. Neutrosophic records is the research of occasions defined by means of the neutrosophic likelihood. The functionality that types the neutrosophic likelihood of a random variable x is named neutrosophic distribution: NP(x) = ( T(x), I(x), F(x) ), the place T(x) represents the chance that worth x happens, F(x) represents the likelihood that worth x doesn't happen, and I(x) represents the indeterminant / unknown chance of worth x.

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**Example text**

Nor even phenomena are totally derivated ones from others, and there is effect without cause because the irrational has its act empire. Cantor's set theory solved the infinitude of the finite, and surprisingly the equipotence of unequal sets, in the way that one was finite (segment of line) and another one infinite (the whole line) = paradox's pick! 53 The real world is messy. Many problems are ill posed. In practice there is ugly mathematics. Clean the awful data to see the beauty of the theorems.

35 Short Time Living Paradox: Long time living matter is formed by very short time living elementary particles. Paradoxist Existentialism: life's value consists in its lack of value; life's sense consists in its lack of sense. Semantic Paradox (I): I AM WHO I AM NOT. If I am not Socrates, and since I am who I am not, it results that I am Socrates. If I am Socrates, and since I am who I am not, it results that I am not Socrates. Generally speaking: "I am X" if and only if "I am not X". Who am I?

53 The real world is messy. Many problems are ill posed. In practice there is ugly mathematics. Clean the awful data to see the beauty of the theorems. Non-mathematicians crinkle into the problems. In the philosophy of arts and literature: a network of beautiful, well, true is replaced by the voluptuousness for ugly, bad, false... misery of life since Zola, the appetite for scabrous, mould, rot (Baudelaire, Arghezi), injustice of powerful people against the powerless, the wrong promulgated with façade of right, and generally