Structure, NeutroStructure, and AntiStructure in Science [PDF]
, 2020 In any science, a classical Theorem, defined on a given space, is a statement that is 100% true (i.e. true for all elements of the space). To prove that a classical theorem is false, it is sufficient to get a single counter-example where the statement is
Florentín Smarandache
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Generalizations and Alternatives of Classical Algebraic Structures to NeutroAlgebraic Structures and AntiAlgebraic Structures [PDF]
, 2020 In this paper we present the development from paradoxism to neutrosophy, which gave birth to neutrosophic set and logic and especially to NeutroAlgebraic Structures (or NeutroAlgebras) and AntiAlgebraic Structures (or AntiAlgebras) that are ...
Smarandache, Florentin
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NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries (revisited) [PDF]
, 2021 In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry. While the Non-Euclidean Geometries resulted from the total negation of one specific axiom (Euclid’s Fifth Postulate), the ...
Smarandache, Florentin
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La Neutro-Geometría y la Anti-Geometría como Alternativas y Generalizaciones de las Geometrías no Euclidianas [PDF]
, 2022 In this paper we extend Neutro-Algebra and Anti-Algebra to geometric spaces, founding Neutro/Geometry and AntiGeometry. While Non-Euclidean Geometries resulted from the total negation of a specific axiom (Euclid's Fifth Postulate), AntiGeometry results ...
Smarandache, Florentin
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Nidus Idearum. Scilogs, IX: neutrosophia perennis [PDF]
, 2022 In this ninth book of scilogs collected from my nest of ideas, one may find new and old questions and solutions, – in email messages to research colleagues, or replies, and personal notes, some handwritten on the planes to, and from international ...
Smarandache, Florentin
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Applications of (Neutro/Anti)sophications to Semihypergroups [PDF]
, 2021 A hypergroup, as a generalization of the notion of a group, was introduced by F. Marty in 1934. The first book in hypergroup theory was published by Corsini.
Mirvakili, S. +2 more
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Nidus Idearum. Scilogs, XI: in-turns and out-turns [PDF]
, 2023 In this eleventh book of scilogs – called in-turns and out-turns –, one may find new and old questions and solutions, referring mostly to topics on Neutrosophy, but also Multispace, with miscellaneous addition of topics on Physics, Mathematics, or ...
Smarandache, Florentin
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Collected Papers (on Neutrosophic Theory and Applications), Volume VIII [PDF]
, 2022 This eighth volume of Collected Papers includes 75 papers comprising 973 pages on (theoretic and applied) neutrosophics, written between 2010-2022 by the author alone or in collaboration with 102 co-authors from 24 ...
Smarandache, Florentin
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Collected Papers (on Neutrosophic Theory and Its Applications in Algebra), Volume IX [PDF]
, 2022 This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ...
Smarandache, Florentin
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The Encyclopedia of Neutrosophic Researchers, 5th Volume [PDF]
, 2023 Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve ...
Smarandache, Florentin
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