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Full Length Article
Volume 9 , Issue 2, PP: 100-109 , 2020


The Natural Bases of Neutrosophy

Authors Names :   Philippe Schweizer   1  

1  Affiliation :  Independent Researcher, Av. de Lonay 11, 1110 Morges, Switzerland

    Email :  flippe2@gmail.com

Doi   :  10.5281/zenodo.3960783

Received: March 20, 2020 Accepted: July 10, 2020

Abstract :

Neutrosophy began as a branch of philosophy that considered neutrality in addition to the positive and negative. It consists of the addition consideration of a neutral state to complement the binary approach of true or false. Its creator quickly extended it to the field of mathematics and it was gradually applied to all fields of science. Here, we present a reverse approach that highlights the importance of neutrality in all fields of study and application, citing some revealing examples. Furthermore, we explain that this importance of neutrality is intrinsic to all sciences because it is based on natural foundations. Indeed, neutrality is a forming part first of all of the human conception of things, of our way of thinking, of cognition in general but also of living things, matter and even particles. In addition to these most real-world physical concrete aspects, neutrality is inherent to mathematics, to logic first of all, but also to probabilities and statistics where neutrality which simply results from a large number of objects, the universe. Thus neutrosophy is well adapted to the majority of applied problems because its modeling is inspired by reality and that it allows, in particular, to deal with the component of uncertainty and indeterminacy that the real world comprises intrinsically.

Keywords :

Neutrosophy , three-state , neutral state , undetermined , incertitude , natural basis

References :

[1]  Smarandache, F.,”New Trends in Neutrosophic Theory and Applications”, Pons asbi, Brussels.1995.

[2]  Parry and Hacker,. Aristotelian Logic. State University of New York Press, 1991

[3]  Bruno, Leonard C. “Math and Mathematicians: The History of Math Discoveries Around the World”, Baker, Lawrence W. Detroit, Mich.: U X L. p. 99. ISBN 978-0-7876-3813-9. OCLC 41497065.2003.

[4]  Smarandache, F.,”A Unifying Field in Logics: Neutrosophic Logic”, - 6th ed. USA: InfoLearnQuest, 2007

[5]  Smarandache, F.& Osman, S.,“Neutrosophy in Arabic Philosophy”, Renaissance High Press, Ann Arbor, MI, 2017.

[6]   Smarandache, F.,”Neutrosophic set, a generalization of the Intuitionistic Fuzzy Sets”, International Journal of Pure and Applied Mathematics, Vol.24,pp-, 287-297,2005.

[7]   Smarandache, F.,”Neutrosophy / Neutrosophic probability, set, and logic”, American Re-search Press: Santa Fe, NM, USA. 1998.

[8]  Smarandache, F.,”Introduction to the neutrosophic measure, neutrosophic integral and neutrosophic probability”, Sitech, Craiova, Romania, 2013.

[9]   Leibnitz, Descartes, Fermat, Newton UE 4M039 : Histoire des mathématiques (Alexandre Guilbaud et Laurent Mazliak, Semaine 4 La naissance du calcul différentiel et intégral, https://www.lpsm.paris/pageperso/mazliak/semaine4.pdf

[10] Wikipedia, entry Kinematics, https://en.wikipedia.org/wiki/Kinematics

[11] Wikipedia, entry Brownian motion, https://en.wikipedia.org/wiki/Brownian_motion

[12] Wikipedia, entry Markov chain, https://en.wikipedia.org/wiki/Markov_chain

[13] Johana Cristina Sierra Morán, Jenny Fernanda Enríquez Chuga, Wilmer Medardo Arias Collaguazo And Carlos Wilman Maldonado Gudiño:Neutrosophic statistics applied to the analysis of socially responsible participation in the community , Neutrosophic Sets and Systems, vol. 26, pp. 19-28,  2019. DOI: 10.5281/zenodo.3244232

[14] Leny Cecilia Campaña Muñoz, Holman Steven Sánchez Ramos, and Johanna Rocío Cabrera Granda: Use of neutrosophy for the analysis of the social reintegration factors of released prisoners in Ecuador : Neutrosophic Sets and Systems, vol. 26, pp. 145-152, 2019. DOI: 10.5281/zenodo.3244814