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.
The 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 <neut1A>, <neut2A>, 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.
ARTICLES ON NEUTROSOPHIC PHILOSOPHY
Florentin Smarandache (2025). A Neutrosophic Exploration of Creative Ideational Dynamics. Neutrosophic Optimization and Intelligent Systems, 6, 1-5. https://doi.org/10.61356/j.nois.2025.6529
Maikel Yelandi Leyva Vázquez, Florentin Smarandache (2025). Conexiones entre Epistemología Andina y Lógica Neutrosófica: Evaluando los Modelos Fundacionales en la Complejidad Cultural. Neutrosophic Computing and Machine Learning, 36, 193-204.
Florentin Smarandache, Maikel Yelandi Leyva Vázquez (2025). Di-aléctica, Tri-aléctica, ..., n-aléctica, para n ≥ 2 [Di-alectic, Tri-alectic, ..., n-alectic, for n ≥ 2]. Neutrosophic Computing and Machine Learning, 36, 305-314.
Florentin Smarandache (2025). Dincolo de dialectică, paradoxuri și logică binară [Beyond dialectics, paradoxes and binary logic]. Observatorul, April 8. https://www.observatorul.com/default.asp?action=articleviewdetail&ID=26492
Florentin Smarandache (2025). Expanding The Horizons of Philosophy Through Neutrosophic Movements. Neutrosophic Knowledge, 6, 50-54.
Maikel Yelandi Leyva Vázquez, Florentin Smarandache (2025). From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin America. Neutrosophic Sets and Systems, 81, 1-11.
Florentin Smarandache (2025). Fundamentele și aplicațiile teoriilor neutrosofice și plitogenice. Constelații diamantine, 16(3), 57.
Victor Christianto, Florentin Smarandache (2025). Neutrosophic Logic and Neither Nor Logic in Development Studies: A Few Examples. Plithogenic Logic and Computation, 3, 75-85.
Florentin Smarandache (2025). Neutrosophic Transdisciplinarity and the Philosophy of Multi-space. Multicriteria Algorithms with Applications, 7, 19-23.
Florentin Smarandache (2025). New Frontiers of Neutrosophic Philosophy. SciNexuses, 1(2025), 255-259.
Takaaki Fujita, Florentin Smarandache (2025). Reconsideration of Neutrosophic Social Science and Neutrosophic Phenomenology with Non-classical logic. Systems Assessment and Engineering Management Journal, 2, 9-95.
Florentin Smarandache (2024). The Foundations of Neutrosophy. SciNexuses, 1(1), 249-254.
Florentin Smarandache (2024). Neutrosofia transcende opozițiile binare în mitologie și folclor. First part: REVISTA ART-EMIS, 15(75), November 13. https://www.art-emis.ro/stiinta/neutrosofia-transcende-opozitiile-binare-in-mitologie-si-folclor-1; Second part: REVISTA ART-EMIS, 15(78), November 24. https://www.art-emis.ro/stiinta/neutrosofia-transcende-opozitiile-binare-in-mitologie-si-folclor-2
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
Neutrosofia, o nouă ramură a filosofiei, by Florentin Smarandache, Constelaţii diamantine, Craiova, Romania, Anul III, Nr. 7 (23), pp. 39-42, 27 July 2012.
BOOKS OF PHILOSOPHY
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INTERNATIONAL CONFERENCE ON NEUTROSOPHY:
SEMINAR ON NEUTROSOPHY:
 | An Introduction to Neutrosophic Logic in Arabic Philosophy, presented by F. Smarandache & Salah Osman, Minufiya University, Shebin Elkom, Egypt, 17 December 2007. |