Improved Definition of NonStandard Neutrosophic Logic and Introduction to Neutrosophic Hyperreals (Fifth version)

Improved Definition of NonStandard Neutrosophic Logic and Introduction to Neutrosophic Hyperreals (Fifth version)
Title Improved Definition of NonStandard Neutrosophic Logic and Introduction to Neutrosophic Hyperreals (Fifth version) PDF eBook
Author Florentin Smarandache
Publisher Infinite Study
Pages 20
Release 2022-11-01
Genre Mathematics
ISBN

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In the fifth version of our response-paper [26] to Imamura’s criticism, we recall that NonStandard Neutrosophic Logic was never used by neutrosophic community in no application, that the quarter of century old neutrosophic operators (1995-1998) criticized by Imamura were never utilized since they were improved shortly after but he omits to tell their development, and that in real world applications we need to convert/approximate the NonStandard Analysis hyperreals, monads and binads to tiny intervals with the desired accuracy – otherwise they would be inapplicable. We point out several errors and false statements by Imamura [21] with respect to the inf/sup of nonstandard subsets, also Imamura’s “rigorous definition of neutrosophic logic” is wrong and the same for his definition of nonstandard unit interval, and we prove that there is not a total order on the set of hyperreals (because of the newly introduced Neutrosophic Hyperreals that are indeterminate), whence the Transfer Principle from R to R* is questionable. After his criticism, several response publications on theoretical nonstandard neutrosophics followed in the period 2018-2022. As such, I extended the NonStandard Analysis by adding the left monad closed to the right, right monad closed to the left, pierced binad (we introduced in 1998), and unpierced binad - all these in order to close the newly extended nonstandard space (R*) under nonstandard addition, nonstandard subtraction, nonstandard multiplication, nonstandard division, and nonstandard power operations [23, 24]. Improved definitions of NonStandard Unit Interval and NonStandard Neutrosophic Logic, together with NonStandard Neutrosophic Operators are presented.

Neutrosophic Sets and Systems, vol. 51/2022

Neutrosophic Sets and Systems, vol. 51/2022
Title Neutrosophic Sets and Systems, vol. 51/2022 PDF eBook
Author Florentin Smarandache
Publisher Infinite Study
Pages 970
Release 2022-09-01
Genre Mathematics
ISBN

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. 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 together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Collected Papers. Volume XIV

Collected Papers. Volume XIV
Title Collected Papers. Volume XIV PDF eBook
Author Florentin Smarandache
Publisher Infinite Study
Pages 970
Release 2022-11-01
Genre Mathematics
ISBN

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This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 936 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with the following 99 co-authors (alphabetically ordered) from 26 countries: Ahmed B. Al-Nafee, Adesina Abdul Akeem Agboola, Akbar Rezaei, Shariful Alam, Marina Alonso, Fran Andujar, Toshinori Asai, Assia Bakali, Azmat Hussain, Daniela Baran, Bijan Davvaz, Bilal Hadjadji, Carlos Díaz Bohorquez, Robert N. Boyd, M. Caldas, Cenap Özel, Pankaj Chauhan, Victor Christianto, Salvador Coll, Shyamal Dalapati, Irfan Deli, Balasubramanian Elavarasan, Fahad Alsharari, Yonfei Feng, Daniela Gîfu, Rafael Rojas Gualdrón, Haipeng Wang, Hemant Kumar Gianey, Noel Batista Hernández, Abdel-Nasser Hussein, Ibrahim M. Hezam, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Muthusamy Karthika, Nour Eldeen M. Khalifa, Madad Khan, Kifayat Ullah, Valeri Kroumov, Tapan Kumar Roy, Deepesh Kunwar, Le Thi Nhung, Pedro López, Mai Mohamed, Manh Van Vu, Miguel A. Quiroz-Martínez, Marcel Migdalovici, Kritika Mishra, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohammed Alshumrani, Mohamed Loey, Muhammad Akram, Muhammad Shabir, Mumtaz Ali, Nassim Abbas, Munazza Naz, Ngan Thi Roan, Nguyen Xuan Thao, Rishwanth Mani Parimala, Ion Pătrașcu, Surapati Pramanik, Quek Shio Gai, Qiang Guo, Rajab Ali Borzooei, Nimitha Rajesh, Jesús Estupiñan Ricardo, Juan Miguel Martínez Rubio, Saeed Mirvakili, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, Ahmed A. Salama, Nirmala Sawan, Gheorghe Săvoiu, Ganeshsree Selvachandran, Seok-Zun Song, Shahzaib Ashraf, Jayant Singh, Rajesh Singh, Son Hoang Le, Tahir Mahmood, Kenta Takaya, Mirela Teodorescu, Ramalingam Udhayakumar, Maikel Y. Leyva Vázquez, V. Venkateswara Rao, Luige Vlădăreanu, Victor Vlădăreanu, Gabriela Vlădeanu, Michael Voskoglou, Yaser Saber, Yong Deng, You He, Youcef Chibani, Young Bae Jun, Wadei F. Al-Omeri, Hongbo Wang, Zayen Azzouz Omar.

An Introduction to Thermal Physics

An Introduction to Thermal Physics
Title An Introduction to Thermal Physics PDF eBook
Author Daniel V. Schroeder
Publisher Oxford University Press, USA
Pages 435
Release 2021-01-05
Genre Science
ISBN 0192895540

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This is a textbook for the standard undergraduate-level course in thermal physics. The book explores applications to engineering, chemistry, biology, geology, atmospheric science, astrophysics, cosmology, and everyday life.

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition)

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition)
Title A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition) PDF eBook
Author Florentin Smarandache
Publisher Infinite Study
Pages 157
Release 2005
Genre Mathematics
ISBN 1599730804

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N-Norm and N-conorm are extended in Neutrosophic Logic/Set.

A Life with Mary Shelley

A Life with Mary Shelley
Title A Life with Mary Shelley PDF eBook
Author Barbara Johnson
Publisher Stanford University Press
Pages 232
Release 2014-07-16
Genre Literary Criticism
ISBN 0804791260

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In 1980, deconstructive and psychoanalytic literary theorist Barbara Johnson wrote an essay on Mary Shelley for a colloquium on the writings of Jacques Derrida. The essay marked the beginning of Johnson's lifelong interest in Shelley as well as her first foray into the field of "women's studies," one of whose commitments was the rediscovery and analysis of works by women writers previously excluded from the academic canon. Indeed, the last book Johnson completed before her death was Mary Shelley and Her Circle, published here for the first time. Shelley was thus the subject for Johnson's beginning in feminist criticism and also for her end. It is surprising to recall that when Johnson wrote her essay, only two of Shelley's novels were in print, critics and scholars having mostly dismissed her writing as inferior and her career as a side effect of her famous husband's. Inspired by groundbreaking feminist scholarship of the seventies, Johnson came to pen yet more essays on Shelley over the course of a brilliant but tragically foreshortened career. So much of what we know and think about Mary Shelley today is due to her and a handful of scholars working just decades ago. In this volume, Judith Butler and Shoshana Felman have united all of Johnson's published and unpublished work on Shelley alongside their own new, insightful pieces of criticism and those of two other peers and fellow pioneers in feminist theory, Mary Wilson Carpenter and Cathy Caruth. The book thus evolves as a conversation amongst key scholars of shared intellectual inclinations while closing the circle on Johnson's life and her own fascination with the life and circle of another woman writer, who, of course, also happened to be the daughter of a founder of modern feminism.

Ancient Future

Ancient Future
Title Ancient Future PDF eBook
Author Wayne B. Chandler
Publisher Black Classic Press
Pages 252
Release 2000-12
Genre Social Science
ISBN 9781574780017

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Ancient Future celebrates the wisdom of those ancient civilizations that did not disassociate the philosophical, spiritual, and material realms of life. This book is an attempt to re-create this holistic experience in hopes that a synthesized view of life will become reality in the 21st century.