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**PHILOSOPHY**

Neutrosophy
is a new branch of philosophy that studies the origin, nature, and scope of
neutralities, as well as their interactions with different ideational spectra.

This theory
considers every notion or idea <A> together with its opposite or negation <antiA>
and with their spectrum of neutralities <neutA> in between them (i.e. notions or
ideas supporting neither <A> nor <antiA>). The <neutA> and <antiA> ideas
together are referred to as <nonA>. Neutrosophy is a generalization of Hegel's
dialectics (the last one is based on <A> and <antiA> only).

According to this
theory every idea <A> tends to be neutralized and balanced by <antiA> and <nonA>
ideas - as a state of equilibrium.

In a classical way
<A>, <neutA>, <antiA> are disjoint two by two.

But, since in many
cases the borders between notions are vague, imprecise, Sorites, it is
possible that <A>, <neutA>, <antiA> (and <nonA> of course) have common parts two
by two, or even all three of them as well.

**Th****e
***Law of* *Included Middle* [<A>, <nonA>, and a third
value <T> which resolves their contradiction at another level of reality] is
generalized to the *Law of Included Multiple-Middle* [<A>, <antiA>, and <neutA>,
where <neutA> is split into a multitude of neutralities between <A> and <antiA>,
such as <neut_{1}A>, <neut_{2}A>, etc.]. The <neutA> value (i.e.
neutrality or indeterminacy related to <A>) actually comprises the included
middle value. **Also****
the ***Principle of Dynamic Opposition* [opposition between <A> and <antiA>]
is extended to the *Principle of Dynamic Neutrosophic Opposition* [which
means oppositions among <A>, <antiA>, and <neutA>].
This book is here.

Neutrosophy is the
base of neutrosophic logic, neutrosophic set, neutrosophic probability, and
neutrosophic statistics that are used in engineering applications (especially
for software and information fusion), medicine, military, airspace, cybernetics,
physics.

The neutrosophy and its neutrosophic set, logic, probability, and statistics were
introduced by Florentin Smarandache in 1995.

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**ARTICLES ON NEUTROSOPHY**

**Upside-Down Logics: Falsification of the Truth & Truthification of the False,
by F. Smarandache, Syst. Assess. Eng. Manage. Vol. 1 (2024) 1–7.**

**The
Dynamic Interplay of Opposites in Zoroastrianism, by F. Smarandache, J.
Fuzzy. Ext. Appl. Vol. 5, No. 1 (2024) 1–15.**

The MultiAlist System of Thought (an open dynamic system of many
opposites, with their neutralities or indeterminacies, formed by elements from
many systems), by. F. Smarandache, Neutrosophic Sets Syst., Vol. 61, pp.
598-605, 2023.

The Dynamic Interplay
of Opposites in Zoroastrianism, by F. Smarandache, Journal of Fuzzy Extension and Applications,
Vol. 5, No. 1 (2024) 1–15.

Integrating Contradictory Perspectives in Latin American Philosophy: A
MultiAlism Approach, by

Maikel Leyva Vázquez, Florentin Smarandache,
Neutrosophic Opt. Int. Syst., Vol. 3 (2024) 1 – 8.

Neutrosophy Transcends
Binary Oppositions in Mythology and Folklore, Neutrosophic Sets and

Systems, Vol. 65, 57-79, 2024

*Neutrosofia, o nouă ramură
a filosofiei, *
by Florentin Smarandache. In *Neutrosophic Theory and Its Applications.
Collected Papers*, Volume 1, EuropaNova, Bruxelles,
472-477,
2014.

*
Neutrosofia, o nouă ramură a
filosofiei*,
by Florentin Smarandache, Constelaţii diamantine, Craiova, Romania, Anul
III, Nr. 7 (23), pp. 39-42, 27 July 2012.

**
***Neutrosophy, a New Branch of Philosophy, by *Florentin Smarandache,
Multiple-Valued Logic / An International Journal, England, Vol. 8, No. 3,
297-384, June 2002.

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BOOKS OF PHILOSOPHY