Nous avons cherch dcle sur le Livre V des ments d'Euclide, m; et notamment de traduire en anglais les passages que nous avons jug d'expliquer pourquoi certains maths lfinition des grandeurs proportionnelles que l'on trouve au dléments.

Euclid's definition of proportional magnitudes in the Fifth Book of the Elements gave rise to many commentaries. We examine closely two of these commentaries, one by al-Jayy and the other by Saunderson. Both al-Jayy and Saunderson attempted to defend Euclid's definition by making explicit what Euclid had only implied. We show that the two authors explain Euclid's position in a virtually identical manner.

The mathematician al-Māhānī is the author of one of the first commentaries on the fifth Book of Euclid's Elements which have been handed down to us. In this commentary, al-Māhānī intends to justify Definitions V. 5 and V. 7 of the Elements, which deal with the identity of ratios and with greater ratio, by starting from an anthyphairetic conception of ratio, and by proving the equivalence of the Euclidean and the anthyphairetic points of view. We will try in this paper (...) to describe in detail the content of al-Māhānī's commentary, basing ourselves on a thorough examination of most of the extant manuscripts of the Arabic text. The reader will also find in the appendices a mathematical commentary, an English translation, and a critical edition of al-Māhānī's commentary. (shrink)

RésuméLe mathématicien et astronome andalou Ibn Muʿāḏ al-Jayyānī est l'auteur d'un important commentaire sur le concept de rapport, dans lequel il se propose de justifier la définition euclidienne de la proportionnalité entre grandeurs – la célèbre Définition V.5 – et celle du rapport plus grand. Nous donnons, en plus d'une analyse de ce commentaire, une traduction française et une édition critique du texte original arabe. Nous avons également tenté de faire le point sur certains détails liés à la biographie d'Ibn (...) Muʿāḏ. (shrink)

The Andalusian mathematician and astronomer Ibn Mun the celebrated Definition V.5.

This article addresses the question which structures occur as fixed structures of stable structures with a generic automorphism. In particular we give a Galois theoretic characterization. Furthermore, we prove that any pseudofinite field is the fixed field of some model ofACFA, any one-free pseudo-differentially closed field of characteristic zero is the fixed field of some model ofDCFA, and that any one-free PAC field of finite degree of imperfection is the fixed field of some model ofSCFA.

Legal restrictions of the right to self-determination increasingly pretend to be compatible with the liberal concept of autonomy: they act upon a ‘soft’ or autonomy-orientated paternalistic rationale. Conventional liberal critique of paternalism turns out to be insensitive to the intricate normative problems following from ‘soft’ or ‘libertarian’ paternalism. In fact, these autonomy-oriented forms of paternalism could actually be even more problematic and may infringe liberty rights even more intensely than hard paternalistic regulation. This paper contributes to the systematic differentiation of (...) soft and hard paternalism by discussing the (legal) concept of autonomy and elaborates the moral and legal limits of autonomy-orientated paternalism. (shrink)

Neutrosophy, the study of neutralities, is a new branch of Philosophy that has applications in many different fields of science. Inspired by the idea of Neutrosophy, Smarandache introduced NeutroAlgebraicStructures (or NeutroAlgebras) by allowing the partiality and indeterminacy to be included in the structures’ operations and/or axioms.

This paper situates itself in Reiner Schürmann's theory that the metaphysical representations have hegemonically governed epochs of western history. It argues that the contemporary alertness about the acute loss of affinity between rhetoric and philosophy reports the end of metaphysics. Specifically, the paper discusses that the phenomenon of globalization of scientific rationalism, with its homogenizing effects requires an anarchic mode of thinking and acting and a certain political life that refuses ultimate representations. As such, the proper epochal response to the (...) rift between rhetoric and philosophy is an anarchic one. The ease with which a whole age continues to graze, in spite of exterminations still alive in our memories and planetary asphyxiations already in our throats, gives ground for perplexity (Reiner Schürmann, Broken Hegemonies). (shrink)

A brief and selective conceptual glance at the history of sociological foundation shows that a certain assumption about the `ultimate referentiality' of society has been at the heart of sociology. The late modern responses to, and reactions against, foundationalism in various schools in the human and social sciences provide a springboard for a new beginning in sociological inquiry. Drawing on radical phenomenology and postmetaphysical hermeneutical philosophy, this article summons attention to the concept of ultimate referentiality as the point of moorage (...) that supposedly secures our theoretical postulates in a presumed locus in the `real' — namely, `society'. Given our late modern crisis of metaphysical claims about ultimate foundations, the article makes an invitation to an interpretative sociological renewal with an acute sensitivity toward praxis. The article provisionally makes a number of suggestions with respect to the modes of sociological practice that would render the discipline attuned to our age. (shrink)

Crossing Borders: Essays In Honour of Ian H. Angus is a collection of original and cutting-edge essays by eighteen outstanding and diverse Canadian and International scholars that engage with Professor Ian Angus's rich contributions to three distinct, albeit overlapping, fields: Canadian Studies, Phenomenology and Critical Theory, and Communication and Media Studies. These contributions are distinct, unique, and have had resonance across the intellectual landscape over the thirty years that Angus has been teaching communications, philosophy, Canadian Studies, theory, and humanities first (...) in the United States and then in Canada. (shrink)

This article is about the dispute between existentialism and physicalism concerning the in/authenticity of the human being's thought and freedom. It deals with the impossibility of reducing human thought, practice, choice, and decision to their physical, biological, brain-based or neurological aspects. In other words, the way of thinking which can be called naturalism, materialism, or physicalism based on different criteria (from seventeenth-century until twentieth century) tries to interpret human existence (“soul” in the mythological language of Plato, “transcendental imagination” in Kant’s (...) philosophy, “existence” in Kierkegaard’s thought and existentialism and “_Dasein_” in Heidegger’s view) as a product of physical, natural or material processes and does not regard human freedom of choice as authentic (or irreducible) but as a secondary product of biological natural phenomena. This article claims that the main matter of the dispute is not specifically determined in the debate between physicalism or reductionism on the one hand and the philosophers believing in existence or Dasein on the other hand. This vagueness has caused the discussion about the theoretical challenge not to undergo a smooth path. In order to make clear the exact parameters of the central matter of dispute, I try to challenge the fundamentals of physicalism. (shrink)

Ladyman and Presnell have recently argued that the Hole argument is naturally resolved when spacetime is represented within homotopy type theory rather than set theory. The core idea behind their proposal is that the argument does not confront us with any indeterminism, since the set-theoretically different representations of spacetime involved in the argument are homotopy type-theoretically identical. In this article, we will offer a new resolution based on ZFC set theory to the argument. It neither relies on a constructive-intuitionistic form (...) of mathematics, as used by Ladyman and Presnell, nor is foundationally problematic, such as the existing set-theoretic suggestions. (shrink)

Despite growing concern about medical ghostwriting, pharmaceutical companies, universities, medical journals, and communication companies employing ghostwriters have thus far failed to adequately stem the problem. As a result, some commentators have proposed that legal remedies could be sought by patients harmed by drugs publicized in ghostwritten papers. In this Essay, we build on a recent analysis by Stern and Lemmens in PLoS Medicine to outline specific areas of legal liability.

The neural underpinnings of decision-making are critical to understanding and predicting human behavior. However, findings from decision neuroscience are limited in their practical applicability due to the gap between experimental decision-making paradigms and real-world choices. The present manuscript investigates the neural markers of buying decisions in a fully natural purchase setting: participants are asked to use their favorite online shopping applications to buy common goods they are currently in need of. Their electroencephalography is recorded while they view the product page (...) for each item. EEG responses to pages for products that are eventually bought are compared to those that are discarded. Study 1 repeats this procedure in three batches with different participants, product types, and time periods. In an explorative analysis, two neural markers for buying compared to no-buying decisions are discovered over all three batches: frontal alpha asymmetry peak and frontal theta power peak. Occipital alpha power at alpha asymmetry peaks differs in only one of the three batches. No further significant markers are found. Study 2 compares the natural product search to a design in which subjects are told which product pages to view. In both settings, the frontal alpha asymmetry peak is increased for buying decisions. Frontal theta peak increase is replicated only when subjects search through product pages by themselves. The present study series represents an attempt to find neural markers of real-world decisions in a fully natural environment and explore how those markers can change due to small adjustments for the sake of experimental control. Limitations and practical applicability of the real-world approach to studying decision-making are discussed. (shrink)

Starting with a partial order on a NeutroAlgebra, we get a NeutroStructure. The latter if it satisfies the conditions of NeutroOrder, it becomes a NeutroOrderedAlgebra. In this paper, we apply our new defined notion to semigroups by studying NeutroOrderedSemigroups. More precisely, we define some related terms like NeutrosOrderedSemigroup, NeutroOrderedIdeal, NeutroOrderedFilter, NeutroOrderedHomomorphism, etc., illustrate them via some examples, and study some of their properties.

In this critical notice I review the main ideas presented in Peyman Vahabzadeh's thought-provoking investigation into the genesis of new social movements, Articulated Experiences: Towards a Radical Phenomenology of Contemporary Social Movements. I examine two central features of Vahabzadeh's work: (i) its notion of ?ultimate referentiality;? and (ii) the centrality of the role accorded to language in Vahabzadeh's overall theory. I argue that in his stipulation that language is the most fundamental mediating factor in articulation and acts (...) of identification, Vahabzadeh implicitly characterizes language as precisely the sort of privileged essential universality that his theory seeks to avoid. The repercussions of this criticism are not only relevant to the thesis of Articulated Experiences, they are also relevant to the thesis Vahabzadeh defends in his contribution to the present volume. (shrink)

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)