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. (shrink)

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 ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, (...) T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang. (shrink)

This thirteenth volume of Collected Papers is an eclectic tome of 88 papers in various fields of sciences, such as astronomy, biology, calculus, economics, education and administration, game theory, geometry, graph theory, information fusion, decision making, instantaneous physics, quantum physics, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, scientific research methods, statistics, and others, structured in 17 chapters (Neutrosophic Theory and Applications; Neutrosophic Algebra; Fuzzy Soft Sets; Neutrosophic Sets; Hypersoft Sets; Neutrosophic Semigroups; Neutrosophic Graphs; Superhypergraphs; Plithogeny; (...) Information Fusion; Statistics; Decision Making; Extenics; Instantaneous Physics; Paradoxism; Mathematica; Miscellanea), comprising 965 pages, published between 2005-2022 in different scientific journals, by the author alone or in collaboration with the following 110 co-authors (alphabetically ordered) from 26 countries: Abduallah Gamal, Sania Afzal, Firoz Ahmad, Muhammad Akram, Sheriful Alam, Ali Hamza, Ali H. M. Al-Obaidi, Madeleine Al-Tahan, Assia Bakali, Atiqe Ur Rahman, Sukanto Bhattacharya, Bilal Hadjadji, Robert N. Boyd, Willem K.M. Brauers, Umit Cali, Youcef Chibani, Victor Christianto, Chunxin Bo, Shyamal Dalapati, Mario Dalcín, Arup Kumar Das, Elham Davneshvar, Bijan Davvaz, Irfan Deli, Muhammet Deveci, Mamouni Dhar, R. Dhavaseelan, Balasubramanian Elavarasan, Sara Farooq, Haipeng Wang, Ugur Halden, Le Hoang Son, Hongnian Yu, Qays Hatem Imran, Mayas Ismail, Saeid Jafari, Jun Ye, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Darjan Karabašević, Abdullah Kargın, Vasilios N. Katsikis, Nour Eldeen M. Khalifa, Madad Khan, M. Khoshnevisan, Tapan Kumar Roy, Pinaki Majumdar, Sreepurna Malakar, Masoud Ghods, Minghao Hu, Mingming Chen, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohamed Loey, Mihnea Alexandru Moisescu, Muhammad Ihsan, Muhammad Saeed, Muhammad Shabir, Mumtaz Ali, Muzzamal Sitara, Nassim Abbas, Munazza Naz, Giorgio Nordo, Mani Parimala, Ion Pătrașcu, Gabrijela Popović, K. Porselvi, Surapati Pramanik, D. Preethi, Qiang Guo, Riad K. Al-Hamido, Zahra Rostami, Said Broumi, Saima Anis, Muzafer Saračević, Ganeshsree Selvachandran, Selvaraj Ganesan, Shammya Shananda Saha, Marayanagaraj Shanmugapriya, Songtao Shao, Sori Tjandrah Simbolon, Florentin Smarandache, Predrag S. Stanimirović, Dragiša Stanujkić, Raman Sundareswaran, Mehmet Șahin, Ovidiu-Ilie Șandru, Abdulkadir Șengür, Mohamed Talea, Ferhat Taș, Selçuk Topal, Alptekin Ulutaș, Ramalingam Udhayakumar, Yunita Umniyati, J. Vimala, Luige Vlădăreanu, Ştefan Vlăduţescu, Yaman Akbulut, Yanhui Guo, Yong Deng, You He, Young Bae Jun, Wangtao Yuan, Rong Xia, Xiaohong Zhang, Edmundas Kazimieras Zavadskas, Zayen Azzouz Omar, Xiaohong Zhang, Zhirou Ma.‬‬‬‬‬‬‬‬. (shrink)

Let T 1 , T 2 be countable first-order theories, M i ⊨ T i , and ������ any regular ultrafilter on λ ≥ $\aleph_{0}$ . A longstanding open problem of Keisler asks when T 2 is more complex than T 1 , as measured by the fact that for any such λ, ������, if the ultrapower (M 2 ) λ /������ realizes all types over sets of size ≤ λ, then so must the ultrapower (M 1 ) λ /������. (...) In this paper, building on the author's prior work [12] [13] [14], we show that the relative complexity of first-order theories in Keisler's sense is reflected in the relative graph-theoretic complexity of sequences of hypergraphs associated to formulas of the theory. After reviewing prior work on Keisler's order, we present the new construction in the context of ultrapowers, give various applications to the open question of the unstable classification, and investigate the interaction between theories and regularizing sets. We show that there is a minimum unstable theory, a minimum TP 2 theory, and that maximality is implied by the density of certain graph edges (between components arising from Szemerédi-regular decompositions) remaining bounded away from 0, 1. We also introduce and discuss flexible ultrafilters, a relevant class of regular ultrafilters which reflect the sensitivity of certain unstable (non low) theories to the sizes of regularizing sets, and prove that any ultrafilter which saturates the minimal TP 2 theory is flexible. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:M. C. Dillon LOVE IN WOMEN IN LOVE: A PHENOMENOLOGICAL ANALYSIS Despite his sexism, his turgid prose, and his antiquated social conscience, Lawrence is on every bookshelf. This is not merely because of the vicarious erotic entertainment to be found in the saga of John Thomas and Lady Jane, but because Lawrence remains a major guru of romance. We take him seriously, look to him for guidance, measure ourselves (...) against Ursula and Birkin. If he is on our shelves—and his thoughts not far from our pillows—then his ideas starid in need of scrutiny. Women in Love is as much a treatise as a novel: we witness more talking about than making of love. The agon of ideas engulfs the agon of flesh. Hence, the book suits the present purpose. It cannot be taken as Lawrence's definitive statement on love—later works, notably Lady Chatterly's Lover, move in different directions—but it is his most philosophical treatment and, I think, most clearly expresses his conceptual framework, the parameters which define and limit his thinking. What he says about love in Women in Love may therefore illumine his depictions of the behavior of lovers in other works. Lawrence is a romantic. In the popular sense of the word he is one who makes of romance or erotic adventure a dominant life value. Lawrence is also a romantic in another sense insofar as he takes the transcendence or unattainability of the other as essential to the project of loving. These two senses are conceptually compatible but existentially in conflict. That is, if one's major undertaking in life is to seek erotic satisfaction, and if one desires only so long as the object is beyond reach, then one has established the groundwork for continual frustration. This, I will try to show, is what Lawrence has done. I Many writers have tried to bring the ideas implicitly present in and constitutive of romantic love to the level of explicit reflective awareness. 190 M.C.Dillon191 The most successful treatment I know is given by a writer who did not know—or at least did not say—that he was writing about romantic love. Sartre purports to reveal the inner structures of love itself—the unqualified, unrestricted essence of love. As I have tried to show elsewhere,1 he fails at this. But he succeeds admirably in unveiling the inner contradictions of romantic love. Our project here is to draw upon Sartre's insights: first, to develop a conception of romantic love, and then to discern the model of Eros which informs Women in Love. The key idea in romantic love is transcendence. Something is transcendent when it is beyond me, when I cannot adequately prehend it conceptually or master it with my will. The role of transcendence in romantic love is demonstrated clearly in Denis de Rougemont's book on Love in the Western World.2 There he shows that Tristan's passion for Iseult is directly proportional to her distance from him: he is increasingly attracted as she becomes further removed. On the other hand, when through various deeds of gallantry and subterfuge, he succeeds in winning her to his side, he loses interest and must create circumstances which put her again beyond his reach. The culmination of romantic love, according to de Rougemont, is death—it sets the other absolutely beyond reach. It also arrests and preserves at their apices the youth and beauty of the lovers and the intensity of the erotic relationship. It is, I believe, this complex of ideas that led Kierkegaard to this cynical reflection on the nature of romantic love: "When two beings fall in love with one another and begin to suspect that they were made for each other, it is time to have the courage to break it off; for by going on they have everything to lose and nothing to gain."3 The same idea, qualified by increased optimism, underlies Stendhal's notion of crystallization in his book On Love.* Love is predicated on the attribution of perfection to the beloved. Just as a plain bough emerges from the salt-saturated waters of the Salzburg mines encrusted with beautiful crystals... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:M. C. Henberg GEORGE ELIOT'S MORAL REALISM No moment in the history of ethics could be more propitious than the present for a comprehensive restudy of George Eliot's moral realism. Analysis of the "logic" of moral language has proved barren, prescriptivism is in full flight, and schematic divisions of moral theories into descriptive versus normative, deontological versus teleological, or substantive versus meta-ethical have promised much but delivered little. Such (...) distinctions dominate maps to the modern moral terrain, but awanderer in the land ofchoice itselfstill finds himselfwithout signposts. A particularly unhealthy bias in contemporary ethics has been the belief that moral principles ought to withstand all counterexamples, however plausible or implausible, whether concocted from a sense of men's actual capacities or from a fondness for outrageous possibilities, many of them lifted from the pages of science fiction. If moral rules do not govern in hard cases, it is thought, they do not govern at all. Few philosophers have bothered to distinguish between the hard cases common to men's actual choices and the hard cases confronted by one man in a million or by the imagined inhabitants of some future world. (Witness, for example, the present preoccupation with "lifeboat ethics" and ask yourself how many actual moral choices are so starkly dramatic.) Any logically possible circumstance is too often assumed to qualify as a fruitful area for moral investigation; and any conceivable counterexample, achieved by whatever stretch of the imagination, is assumed to be fair ammunition in the debate over principles. Closely related to this first bad tendency in modern philosophical ethics is another, equally bad. Too often the examples used are of little moral significance, obviously conceived to make a point rather than to direct attention to commonplace but nonetheless important circumstances where informed choice is essential. Philosophy journals have treated us to discussions about whether failing to wear tennis whites is or is not "rude" and about whether a first sinner's crossing of a patch of lawn does or does not have a "threshold-related effect" 20 M. C. Henberg21 which must be considered in assessing later consequences (a bare path ultimately worn in the grass). Such examples rightly earn a contemptuous snort from anyone who expects philosophy to increase our understanding in matters of serious consequence. Whatever her other accomplishments as a moralist and philosophical thinker, George Eliot never commits either of the preceding crimes. Her moral realism constitutes first and foremost an ethics aimed at the bulk of her fellow men. She yields to the theoretic impulse solely in criticizing other theories. When it comes to providing answers, she depicts fictional characters whose struggles, failings, and passions are ultimately akin to what we ourselves are likely to experience. Her ethical precepts are not aimed at proving themselves in every conceivable situation. They are instead precepts which are sometimes susceptible to ruin, just as are the changeable creatures who profess them. To know the natural boundaries of a moral rule, Eliot tells us, is as difficult and important as knowing the rule itself. Moral realism requires a combination of clear-eyed perception and imaginative sympathy—faculties ill-served by lectures on abstract principles. Eliot reminds us that our best moral judgments must be "checked and enlightened by a perpetual reference to the special circumstances that mark the individual lot" (The Mill on the Floss, Book VII, chap. 3). This emphasis in particular—found both in her early essays and early fiction—makes Eliot's moral realism a welcome anodyne to the worst tendencies of modern ethics. The discussion which follows will be confined to early works, including Scenes of Clerical Life, Adam Bede, and The Mill on the Floss. The ruminations of her authorial voice in these novels may conveniently be juxtaposed with her essays, for the works are near to one another both temporally and thematically. Later novels such as Middlemarch and Daniel Deronda—however interesting from an ethical perspective— do not lend themselves to this mode of analysis. To what extent Eliot's views are modified in these later novels constitutes a separate topic whose omission here does not reflect upon its intrinsic interest or importance. Since George Eliot offers no... (shrink)

Listening to someone from some distance in a crowded room you may experience the following phenomenon: when looking at them speak, you may both hear and see where the source of the sounds is; but when your eyes are turned elsewhere, you may no longer be able to detect exactly where the voice must be coming from. With your eyes again fixed on the speaker, and the movement of her lips a clear sense of the source of the sound will (...) return. This ‘ventriloquist’ effect reflects the ways in which visual cognition can dominate auditory perception. And this phenomenological observation is one what you can verify or disconfirm in your own case just by the slightest reflection on what it is like for you to listen to someone with or without visual contact with them. (shrink)

This volume offers the first-ever complete English translation of Leibniz’s Dissertatio De Arte Combinatoria together with a critical edition of the original Latin text on fa...

Our research is based on a rather large "library" of various works by M. Drahomanov, which contains his views on religion. Among them: Paradise and Progress, From the History of Relations Between Church and State in Western Europe, Faith and Public Affairs, Fight for Spiritual Power and Freedom of Conscience in the 16th - 17th Centuries,, "Church and State in the Roman Empire", "The Status and Tasks of the Science of Ancient History," "Evangelical Faith in Old England," "Populism and Popular (...) Progress in Austrian Rus, Austrian-Russian Remembrance," "Pious The Legend of the Bulgarians "," The Issues of Religious Freedom in Russia, "" On the Brotherhood of the Baptist or the Baptist in Ukraine, "" The Foreword, " Shevchenko, Ukrainianophiles and Socialism "," Wonderful thoughts about the Ukrainian national affair "," Zazdri gods "," Slavic variants of one Gospel legend "," Resurrection of Christ ", etc. (shrink)